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Marius-F. Danca

 

In top 2% of scientists by citations-score in the Scopus (Elsevier, Standford) data base: 2019, 2020, 2021, 2023

h-index: 22 (Clarivate Analytics October 2024)

Sum of Times Cited (Clarivate Analytics October 2024): 1500+

Citing Articles (Clarivate Analytics October 2024): 1000+

 

 

publications 

Books

1. WOS papers

 

 Paper DOI
103 Michal Feckan, Marius-F. Danca, Guanrong Chen, Fractional Differential Equations with Impulsive Effects, Fractal and Fractional, 2024, 8(9), 500

doi.org/10.3390/fractalfract8090500
102 Marius-F. Danca, Michal Feckan, Memory Principle of the MATLAB Code for Lyapunov Exponents of Fractional-Order, International Journal of Bifurcation and Chaos, 2024, 2450156

doi.org/10.1142/S0218127424501566
101 Michal Feckan, Marius-F. Danca, Guanrong Chen, Fractional Differential Equations with Impulsive Effects, Fractal and Fractiona2024, 8(9), 500

doi.org/10.3390/fractalfract8090500
100 Marius-F. Danca, Guanrong Chen, Approximation and decomposition of attractors of a Hopfield neural network system, Chaos, Solitons & Fractals, 2024, 186, 115213

DOI:10.1016/j.chaos.2024.115213
99 Marius-F. Danca, Chaotic hidden attractor in a fractional order system modelling the interaction between dark matter and dark energy, Communications in Nonlinear Science and Numerical Simulation, 2024, 131, 107838

DOI: 10.1016/j.cnsns.2024.107838
98 Marius-F. Danca, Mandelbrot set as a particular Julia set of Fractional Order, echipotential lines and external rays of Mandelbrot and Julia sets of Fractional Order, Fractal Fract. 2024, 8(1), 69

DOI:10.3390/fractalfract8010069
97 Marius-F. Danca, Jagan Mohan Jonnalagadda, On the solutions of a class of discrete PWC systems modeled with Caputo-type delta fractional difference, Fractal Fract, 2023, 7(4), 304

DOI: 10.3390/fractalfract7040304
96 Michal Feckan, Marius-F. Danca, Non-Periodicity of Complex Caputo Like Fractional Differences, Fractal Fract, 2023, 1, 0

DOI: 10.3390/fractalfract1010000
95 Marius-F. Danca, Michal Feckan, Mandelbrot set and Julia sets of fractional order, Nonlinear Dynamics, 2023, 111,9555–9570

DOI: 10.1007/s11071-023-08311-2
94 Marius-F. Danca, On the Stability Domain of a Class of Linear Systems of Fractional Order, Fractal Fract. 2023, 7, 49

DOI: 10.3390/fractalfract7010049
93 Marius-F. Danca, Controlling the dynamics of a COVID-19 mathematical model using a parameter switching algorithm, Mathematical Methods in the Applied Sciences, 2023;1–13

DOI: 10.1002/mma.9014
92 Michal Feckan, Michal Pospisil, Marius-F. Danca, JinRong Wang, Caputo delta weakly fractional difference equations, Fract. Calc. Appl. Anal., 2022


DOI: 10.1007/s13540-022-00093-5
91 Marius.-F. Danca, Symmetry-breaking and bifurcation diagrams of fractional-order maps, CNSNS, 116, 2023, 106760

DOI:10.1016/j.cnsns.2022.106760
90 Marius.-F. Danca, Fractional order logistic map: Numerical approach, Chaos, Solitons & Fractals, 157, 2022, 111851

DOI: 10.1016/j.chaos.2022.111851
89 Marius.-F. Danca, Nikolay Kuznetsov, D3 Dihedral Logistic Map of Fractional Order, Mathematics 2022, 10, 213

DOI: 10.3390/math10020213
88 Marius.-F. Danca, Michal Feckan, Nikolay Kuznetsov, Guanrong Chen, Coupled Discrete Fractional-Order Logistic Maps, Mathematics 2021, 9, 2204

DOI: 10.3390/math9182204
87 Marius.-F. Danca, Hopfield Neuronal Network of Fractional Order: A note on its numerical integration, Chaos, Solitons & Fractals, 151 (2021) 111219

DOI:10.1016/j.chaos.2021.111219
86 Marius.-F. Danca, Matlab code for Lyapunov exponents of fractional-order systems,
Part II: The non-commensurate case, International Journal of Bifurcation and Chaos, 31(12), 2150187, (2021)

DOI: 10.1142/S021812742150187X

85 Marius.-F. Danca, Nikolay Kuznetsov, Hidden strange nonchaotic attractors, Mathematics, 9(6), 652 (2021)

DOI:10.3390/math9060652
84 Marius.-F. Danca, Michal Feckan, Nikolay Kuznetsov, Guanrong Chen, Attractor as a convex combination of a set of attractors, CNSNS, 96, 105721 (2021) DOI:10.1016/j.cnsns.2021.105721
83 Marius.-F. Danca, Marek Lampart, Hidden and self-exited attractors in a heterogeneous Cournot oligopoly model, Chaos, Solitons & Fractals, 142, 110371 (2021)
 DOI:/10.1016/j.chaos.2020.110371
82 Marius.-F. Danca, Coexisting Hidden and self-excited attractors in an economic system of integer or fractional order, International Journal of Bifurcation and Chaos, 31(4) 2150062 (2021)
 DOI:/10.1142/S0218127421500620
81 Marius.-F. Danca, Puu system of fractional order and its chaos suppression, Symmetry 12(3), 340 (2020)
 DOI: 10.3390/sym12030340
80 Marius.-F. Danca, Michal Feckan, Nikolay Kuznetsov, Chaos control in the fractional order logistic map via
impulses, Nonlinear Dynamics, 98,(2), 1219–1230 (2019)
 DOI: 10.1007/s11071-019-05257-2

79

 Marius.-F. Danca, Michal Feckan, Nikolay Kuznetsov, Guanrong Chen, Rich dynamics and anticontrol of extinction in a prey-predator system, Nonlinear Dynamics, 98, (2), 1421–1445, (2019) DOI: 10.1007/s11071-019-05272-3

78

 Marius.-F. Danca, Michal Feckan, Chaos suppression in a Gompertz-like discrete system of fractional
order, International Journal of Bifurcation and Chaos, 30,(3) 2050049, (2020)		 DOI: 10.1142/S0218127420500492

77

 Marius.-F. Danca, Michal Feckan, Hidden chaotic attractors and chaos suppression in an impulsive discrete economical supply and demand dynamical system, Communications in Nonlinear Science and Numerical Simulation, 74, 1-13, (2019)
 DOI:/10.1016/j.cnsns.2019.03.008

76

 Marius.-F. Danca, Paul Bourke, Nikolay Kuznetsov, Graphical structure of attraction basins of hidden attractors: the Rabinovich-Fabrikant system, International Journal of Bifurcation and Chaos, 29(01) 1930001 (2019) DOI:/10.1142/S0218127419300015

75

 Marius.-F. Danca, Lyapunov exponents of a hyperchaotic discontinuous 4D system of integer and fractional order, Entropy, 20, 337 (2018)
DOI: 10.3390/e20050337

74

 M. Romera, G. Pastor, Marius.-F. Danca, A. Martin, A.B. Orue, F. Montoya, L. Hernandez, Encinas, E. Tundrea, Bifurcation Diagram of a Map with Multiple Critical Points, International Journal of Bifurcation and Chaos, 1850065 28(05), (2018). DOI:/10.1142/S0218127418500657

73

 Marius-F. Danca, Nikolay Kuznetsov, Matlab code for Lyapunov exponents of fractional order systems, International Journal of Bifurcation and Chaos, 28(05), 1850067 (2018).
 DOI:/10.1142/S0218127418500670

72

 Marius-F. Danca, Michal Feckan and Michal Pospsil, Difference equations with impulses, Opuscula Mathematica 39(1),5-22 (2019). 
 DOI:10.7494/OpMath.2019.39.1.5

71

 Marius-F. Danca, M. Feckan, Nikolay Kuznetsov, Guanrong Chen, Fractional-order PWC systems without zero Lyapunov exponents, Nonlinear Dynamics, 92(3), 1061–1078, (2018). DOI: 10.1007/s11071-018-4108-2

70

 Marius-F. Danca, Nikolay Kuznetsov, Guanrong Chen, Approximating hidden chaotic attractors via parameter switching, CHAOS, 28, 013127 (2018). DOI: 10.1063/1.5007925

69

 Marius-F. Danca, M. Feckan, Nikolay Kuznetsov, Guanrong Chen, Complex dynamics, hidden attractors and continuous approximation of a fractional-order hyperchaotic PWC system, Nonlinear Dynamics, 91(4), 2523–2540, (2018). DOI: 10.1007/s11071-017-4029-5

68

 Marius-F. Danca, M. Feckan, On the numerical integration of discontinuous dynamical systems, International Journal of Bifurcation and Chaos, 27(14) 1750218, (2017). DOI: 10.1142/S0218127417502182

67

 C. Morel, J.-Y. Morel, Marius-F. Danca, Generalization of the Filippov method for systems with large periodic input, Mathematics and Computers in Simulation, 146, 1-13 (2018). DOI:10.1016/j.matcom.2017.09.004

66

 Marius-F. Danca, Hidden chaotic attractors in fractional-order systems, Nonlinear Dynamics, 89(1), 577–586 (2017). DOI: 10.1007/s11071-017-3472-7

65

 Marius-F. Danca, M. Feckan, G. Chen, Impulsive stabilization of chaos in fractional-order systems, Nonlinear Dynamics, 89(3) 1889–1903 (2017). DOI: 10.1007/s11071-017-3559-1

64

 Marius-F. Danca, Nikolay Kuznetsov, Parameter Switching Synchronization, Applied Mathematics and Computation, 313, 94-102 (2017). DOI: 10.1016/j.amc.2017.05.075

63

 Marius-F. Danca, Nikolay Kuznetsov, Hidden chaotic sets in a Hopfield neural system, Chaos, Solitons & Fractals, 103, 144-150 (2017). DOI: 10.1016/j.chaos.2017.06.002
62
 Marius-F. Danca, Nikolay Kuznetsov, Guanrong Chen, Unusual dynamics and hidden attractors of the Rabinovich-Fabrikant system, Nonlinear Dynamics, 88(1), 791–805 (2017). DOI: 10.1007/s11071-016-3276-1
61
 Marius-F. Danca, Hidden transient chaotic attractors of Rabinovich-Fabrikant system, Nonlinear Dynamics, 86(2), 1263–1270 (2016). DOI: 10.1007/s11071-016-2962-3

60

 Marius-F. Danca, Joydev Chattopadhyay, Chaos control of Hastings-Powell model by combining chaotic motions, CHAOS, 26(4), 043106 (2016). DOI: 10.1063/1.4946811

59

 Wallace K. S. Tang, Marius.-F. Danca, Emulating "Chaos + Chaos = Order"' in Chen' s Circuit of Fractional Order by Parameter Switching International Journal of Bifurcation and Chaos, 26, 1650096 (2016) DOI: 10.1142/S0218127416500966

58

 Marius.-F. Danca, Wallace K. S. Tang, Guanrong Chen, Suppressing chaos in a simplest autonomous memristor-based circuit of fractional order by periodic impulses, Chaos, Solitons & Fractals, 84, 31–40 (2016). DOI: 10.1016/j.chaos.2015.12.018

57

 Marius.-F. Danca, Wallace K. S. Tang, Parrondo’s paradox for chaos control and anticontrol of
fractional-order systems, Chinese Physics B, 25 (1): 010505 (2016).		 DOI: 10.1088/1674-1056/25/1/010505

56

 Marius-F. Danca, Michal Fečkan, Nikolay Kuznetsov, Guanrong Chen, Looking more closely to the Rabinovich-Fabrikant system, International Journal of Bifurcation and Chaos, 26(2), 1650038 (2016). DOI: 10.1142/S0218127416500383

55

 G. Pastor, M. Romera, Marius-F. Danca, A, Martin, A.B. Orue, F. Montoya, L. Hernandez Encinas, Hidden and non-standard bifurcation diagram of an alternate quadratic system, International Journal of Bifurcation and Chaos, 26(2), 1650036 (2016). DOI: 10.1142/S021812741650036X

54

Marius-F. Danca, Lyapunov exponents of a class of piecewise continuous systems of fractional order, Nonlinear Dynamics, 81(1), 227-237 (2015).

 DOI: 10.1007/s11071-015-1984-6

53

 Marius-F. Danca, M. A. Aziz-Alaoui, Michal Small. A new piecewise linear Chen system of fractional-order; Numerical approximation of stable attractors, Chinese Physics B, 24(6): 060507 (2015).

DOI: 10.1088/1674-1056/24/6/060507

52

 M. Romera, G. Pastor, Marius.-F. Danca, A. Martin, A.B. Orue and F. Montoya, Breaking Points in Quartic Maps, International Journal of Bifurcation and Chaos, 25(4), 1550051 (2015).

DOI: 10.1142/S0218127415500510

51

 Marius-F. Danca, Roberto Garrappa, Suppressing chaos in discontinuous systems of fractional order by active control, Applied Mathematics and Computation, 257, 89–102 (2015).

DOI: 10.1016/j.amc.2014.10.133

50

 Marius-F. Danca, Synchronization of piece-wise continuous systems of fractional order, Nonlinear Dynamics, 78(3) 2065-2084 (2014).

DOI: 10.1007/s11071-014-1577-9

49

 Marius-F. Danca, Continuous approximations of a class of piecewise continuous systems, International Journal of Bifurcation and Chaos, 25(11), 1550146 (2015). DOI: 10.1142/S0218127415501461

48

 Marius-F. Danca, Michal Fečkan, Note on a Parameter Switching Method for Nonlinear ODES, Mathematica Slovaca, 66, 439-448 (2016). DOI: 10.1515/ms-2015-0148

47

 Miguel Romera, Gerardo Pastor, Amalia Orue Lopez, Agustin Martin, Marius-F. Danca and Fausto Montoya, A Method to solve the limitations in drawing external rays of the Mandelbrot set, Mathematical Problems in Engineering, 105283, (2013). DOI:10.1155/2013/105283
46 Marius-F. Danca, Michal Fečkan, Miguel Romera, Generalized Form of Parrondo's Paradoxical Game with Applications to Chaos Control, International Journal of Bifurcation and Chaos, 24(01), 1450008 (2014). DOI: 10.1142/S0218127414500084
45

Marius-F. Danca, Nicolae Lung, Parameter switching in a generalized Duffing system: Finding the stable attractors, Applied Mathematics and Computations, 223, 101–114 (2013).

 DOI: 10.1016/j.amc.2013.07.087
44 Yanhong Zheng, Qingyun Wang, Marius-F. Danca, Noise induced complexity: patterns and collective phenomena in a small-world neuronal network, Cognitive Neurodynamics, 8(2), 143-149 (2014). DOI: 10.1007/s11571-013-9257-x
43 Marius-F. Danca, Paul Bourke, Miguel Romera, Graphical exploration of the connectivity sets of alternated Julia sets; M, the set of disconnected alternated Julia sets, Nonlinear Dynamics, 73(1), 1155–1163 (2013). DOI: 10.1007/s11071-013-0859-y
42
Marius-F Danca, Roberto Garrappa, Wallace K. S. Tang, Guanrong Chen, Sustaining stable dynamics of a fractional-order chaotic financial system by parameter switching, Computers and Mathematics with Applications, 66(5), 702–716 (2013).
DOI:10.1016/j.camwa.2013.01.028
41
Marius-F Danca, W.K.S. Tang, Q. Wang, G. Chen, Suppressing chaos in fractional-order systems by periodic perturbations on system variables, European Physical Journal B, 86(3); Article number: 79 (2013).
DOI:10.1140/epjb/e2012-31008-0
40
Zhuoqin Yang, Qingyun Wang, Marius-F Danca, Jiaoying Zhang, Complex dynamics of compound bursting with burst episode composed of different bursts, Nonlinear Dynamics, 70(3), 2003-2013 (2012).
 DOI: 10.1007/s11071-012-0592-y
39
Marius-F. Danca, Convergence of a parameter switching algorithm for a class of nonlinear continuous systems and a generalization of Parrondo's paradox, Communications in Nonlinear Science and Numerical Simulation, 18(3), 500–510 (2013).
 DOI: 10.1016/j.cnsns.2012.08.019
38
Marius-F. Danca, OGY method for a class of discontinuous dynamical systems, Nonlinear Dynamics, 70(2),1523-1534 (2012).
 DOI: 10.1007/s11071-012-0552-6
37
Marius-F. Danca, Chaos suppression via periodic change of variables in a class of discontinuous dynamical systems of fractional order, Nonlinear Dynamics, 70(1), 815-823 (2012).
 DOI: 10.1007/s11071-012-0497-9
36
Marius-F. Danca Chaos suppression via periodic pulses in a class of piece-wise continuous systems, Computers and Mathematics with Applications, 64(5), 849–855 (2012).
 DOI: 10.1016/j.camwa.2011.12.072
35
Marius-F. Danca, Steliana Codreanu, Modeling numerically the Rikitake's attractors by parameter switching, Journal of the Franklin Institute, 349(3) 861-878 (2012).
 DOI: 10.1016/j.jfranklin.2011.11.014
34
Marius-F. Danca, Dejian Lai, Parrondo's Game Model to Find Numerically the Stable Attractors of a Tumor Growth Model, International Journal of Bifurcation and Chaos, 22(10), 1250258 (2012).
 DOI: 10.1142/S0218127412502586
33
Marius-F. Danca, M. Romera, G. Pastor, and F. Montoya, Finding Attractors of Continuous-Time Systems by Parameter Switching, Nonlinear Dynamics, 67(4), 2317–2342 (2012).
 DOI: 10.1007/s11071-011-0172-6
32
G. Pastor, M. Romera, A. Orue, A. Martin, Marius-F. Danca and F. Montoya, Calculation of the structure of a shrub in the Mandelbrot set, Discrete Dynamics in Nature and Society, 2011, 1-23 (2011).
DOI: 10.1155/2011/837262
31
Marius-F. Danca, Synthesizing the Lü attractor by parameter-switching, International Journal of Bifurcation and Chaos, 21(1) 323–331 (2011).
 DOI: 10.1007/s11071-010-9730-6
30
Marius-F. Danca, Approach of a Class of Discontinuous Systems of Fractional Order: Existence of Solutions, International Journal of Bifurcation and Chaos, 21(11), 3273–3276 (2011).
 DOI: 10.1142/S0218127411030519
29
Marius-F. Danca, Numerical Approximation of a Class of Discontinuous Systems of Fractional Order, Nonlinear Dynamics, 66(1), 133-139 (2011).
DOI: 10.1007/s11071-010-9915-z
28
Marius-F. Danca, Cristina Morel, Attractors synthesis of a class of networks. Dynamics of Continuous, Discrete & Impulsive Systems, Series B: Applications & Algorithms 18(5), 601-614 (2011).
 
27
Y. Mao, W.K.S. Tang and Marius-F. Danca, An Averaging Model for Chaotic System with Periodic Time-Varying Parameter, Applied Mathematics and Computation, 217(1), 355-362 (2010).
 DOI: 10.1016/j.amc.2010.05.068
26
Marius-F. Danca, Qingyun Wang, Synthesizing attractors of Hindmarsh-Rose neuronal systems, Nonlinear Dynamics, 62(1) 437-446 (2010).
 DOI: 10.1007/s11071-010-9730-6
25
Marius-F. Danca, Attractors synthesis for a Lotka-Volterra-like system, Applied Mathematics and Computation, 216(7), 2107–2117 (2010).
 DOI: 10.1016/j.amc.2010.03.044
24
Marius-F. Danca, Kai Diethlem, Fractional-order attractors synthesis via parameter switchings, Communications in Nonlinear Science and Numerical Simulations, 15(12), 3745–3753 (2011).
 DOI: 10.1016/j.cnsns.2010.01.011
23
Marius-F. Danca, Chaotic behavior of a class of discontinuous dynamical systems of fractional-order, Nonlinear Dynamics, 60(4), 525-534 (2010).
 DOI: 10.1007/s11071-009-9612-y
22
Marius-F. Danca, Finding stable attractors of a class of dissipative dynamical systems by numerical parameter switching, Dynamical Systems, 25(2), 189–201 (2010).
DOI: 10.1080/14689360903401278
21
Marius-F. Danca, On the uniqueness of solutions to a class of discontinuous dynamical systems, Nonlinear Analysis, Real World Applications, 11 (3), 1402-1412 (2010).
 DOI: 10.1016/j.nonrwa.2009.02.024
20
Marius-F. Danca, M. Romera, G. Pastor, Alternated Julia sets and connectivity properties, International Journal of Bifurcation and Chaos, 19(6) 2123–2129 (2009).
DOI: 10.1142/S0218127409023962
19
Marius-F. Danca, Random parameter-switching synthesis of a class of hyperbolic attractors, CHAOS, 18, 033111 (2008).
DOI:10.1063/1.2965524
18
Marius-F. Danca, Wallace K. S. Tang and Guanrong Chen, A switching scheme for synthesizing attractors of dissipative chaotic systems, Applied Mathematics and Computation, 201(1-2), 650–667 (2008).
 DOI: 10.1016/j.amc.2010.05.068
17
Marius-F. Danca, Numerical approximations of a class of switch dynamical systems, Chaos, Solitons & Fractals, 38(1), 184–191 (2008).
DOI: 10.1016/j.chaos.2006.11.003
16
D. Lai, Marius-F. Danca, Fractal and Statistical Analysis on Digits of Irrational Numbers, Chaos, Solitons and Fractals, 36(2), 246-252 (2008).
DOI: 10.1016/j.chaos.2006.06.029
15
M. Romera, M. Small, Marius-F. Danca, Deterministic and random synthesis of discrete chaos, Applied Mathematics and Computation, 192(1), 283–297 (2007).
DOI: 10.1016/j.amc.2007.02.142
14
Marius-F. Danca, On a class of non-smooth dynamical systems: a sufficient condition for smooth vs nonsmooth solutions, Regular & Chaotic Dynamics 12 (1), 1-11 (2007).
 DOI: 10.1134/S1560354707010017
13
Marius-F. Danca and Miguel Romera, Algorithm for Control and Anticontrol of Chaos in continuous-time Dynamical Systems, Dynamics of Continuous, Discrete & Impulsive Systems, B, 15(2), 155-164 (2008).
  
12
X. Luo, M. Small, Marius-F. Danca and G. Chen, On a dynamical system with multiple chaotic attractors, International Journal of Bifurcation and Chaos, 17(9), 3235 - 3251 (2007).
 DOI: 10.1142/S0218127407018993
11
Marius-F. Danca, A multistep algorithm for ODEs, Dynamics of Continuous, Discrete & Impulsive Systems, B, 13(6), 803-821 (2006).
  
10
Marius-F. Danca, Controlling chaos in discontinuous dynamical systems, Chaos Solitons & Fractals, 22(3) 605-612 (2004).
DOI: 10.1016/j.chaos.2004.02.032
9
Marius-F. Danca and Guanrong Chen, Bifurcation and chaos in a complex model of dissipative medium, International Journal of Bifurcation and Chaos, 14(10), 3409–3447 (2004).
 DOI: 10.1142/S0218127404011430
8
Marius-F. Danca, Chaotifying discontinuous dynamical systems via time-delay feedback algorithm, International Journal of Bifurcation and Chaos, 14(7), 2321-2339 (2004).
DOI: 10.1142/S0218127404010801
7
Marius-F. Danca, Synchronization of switch dynamical systems, International Journal Bifurcation & Chaos 12(8), 1813-1826 (2002).
DOI: 10.1142/S0218127402005522
6
Marius-F. Danca and S. Codreanu, On a possible approximation of discontinuous dynamical systems, Chaos, Solitons & Fractals 13(4), 681-691 (2002).
 DOI: 10.1016/S0960-0779(01)00002-9
5
Marius-F. Danca, On a class of discontinuous dynamical systems, Miskolc Mathematical Notes, 2(2), 103-116 (2001).
 DOI: 10.18514/MMN.2001.41
4
G. Pastor, M. Romera, A. B. Orue, A. Martin, Marius-F. Danca, F. Montoya, Harmonic Analysis in Discrete Dynamical Systems, International Journal of Modern Nonlinear Theory and Application 1(1), 14-31, 2012
 DOI:10.4236/ijmnta.2012.11003
3
S. Codreanu and Marius-F. Danca, Suppression of chaos in a one-dimensional mapping, Journal of Biological Physics 23(1), 1-9 (1997).
DOI: 10.1023/A:1004910118920
2
S. Codreanu and Marius-F. Danca, Control of chaos in a nonlinear prey-predator model, Polish Journal of Environmental Studies 6(1), 21-24 (1997).
  
1
Marius-F. Danca, S. Codreanu and B. Bako, Detailed analysis of a nonlinear prey-predator model, Journal of Biological Physics 23(1), 11-20 (1997).
 DOI: 10.1023/A:1004918920121

 

 

2. Papers published in peer-reviewed journals

 

1. G. Pastor, M. Romera, A. B. Orue, A. Martin, Marius-F. Danca, F. Montoya, Harmonic Analysis in Discrete Dynamical Systems, International Journal of Modern Nonlinear Theory and Application 1(1), 14-31, 2012, DOI:10.4236/ijmnta.2012.11003

 

3. Grants collaboration (2001-2020)

  1.  

    Project

    Ex. Year

    Director

    Remarks

    1

    Russian Science Foundation for the support of leading departments, Grant No-096902/F

    2019-2020

    Prof. Dr., Nikolay Kuznetsov
    Mathematics and Mechanics Faculty, St.Petersburg State University

    • Art. G18, G19, G20

    2

    “Development of analytical and numerical methods for the study and synthesis of control systems”,
    Russian Science Foundation for the support of leading departments №14-21-00041

    2011, 2013, 2017

    Nikolay Kuznetsov
    Prof. Dr., Mathematics and Mechanics Faculty, St.Petersburg State University

    • Art. G12, G15, G16, G17

    3

    Grants VEGAMS 1/0071/14, VEGA-SAV 2/0029/13 and by the
    Slovak Research and Development Agency under the Contract No. APVV-14-0378. The Ministry of Education, Science, Research and Sport of the Slovak Republic

    2011, 2013

    Prof. dR. M. Fečkan –member
    Faculty of Mathematics, Physics and Informatics Comenius University in Bratislav

    • Art G13, G14

    4

    "Distributed pinning-control  flocking  algorithms  for  complex networked systems", 
    GRF Grant, supported by the Hong Kong Research Grants Council, No. CityUl l09ll2E  (2012-2014)

    2012-2014, 2015,2017

    Prof. Dr. Eng. Guanrong Chen
    Director Centre for Chaos and Complex Networks (CCCN) - City University of Hong Kong

    • Art. G1, G2;

    5

    “Identificación y autenticación segura en comunicaciones electrónicas”
    Grant TIN2011-22668, supported by Ministry of Science and Technology of Spain

    2012-2014

    Dr. Luis Hernández Encinas
    Director Instituto de Tecnologías Fisícas y de la Información „Leonardo Torres Quevedo”(ITEFI), Spain

    Art. G3, G4

    6

    “Identificación y Autentificación Seguras”
    Grant TEC2009-13964-C04-02
    supported by Ministry of Science and Technology of Spain

    2010 (Jan.-Dec.)

    Dr. Luis Hernández Encinas
    Director Instituto de Tecnologías Fisícas y de la Información „Leonardo Torres Quevedo”(ITEFI), Spain

    Art.G5, G4

    7

    “Seguridad y Confianza en la Sociedad de la Información”
    Grant SEGUR@ Conference CENIT-20072004
    supported by Ministry of Industry, Tourism and Commerce in Collaboratuin with Telefónica

    2007-2010

    Dr. Luis Hernández Encinas
    Director Instituto de Tecnologías Fisícas y de la Información „Leonardo Torres Quevedo”(ITEFI), Spain

    Art. G6

    8

    “Nuevos Protocolos de Securidad y Algoritmos Criptográficospara la Protecciónde Servicios Telemáticos”
    Grant TSI2007, supported by Ministry of Science and Technology of Spain

    2008

    Prof. Dr. Fausto Montoya Vitini
    Doctor Ad Honorem
    Instituto de Tecnologías Fisícas y de la Información „Leonardo Torres Quevedo”(ITEFI), Spain

    Art. G7

    9

    “Analiza unor fenomene neliniare prin metode analitice, experimentale si simulari numeric”
    Contract Tip A, CNCSIS Cod 149

    2007-2010

    Prof. Dr. Steliana Codreanu
    Facultatea de Fizica, Universitatea Babeş-Bolyai

    Art. G8

    10

    "Improving the  synch,ronizability  of  complex networks"
    SRG Grant,  supported  by the  City  University  of Hong Kong,  No.  70021234

    2007-2008

    Prof. Dr. Eng. Guanrong Chen
    Director CCCN, City University of Hong Kong

    Art. G9

    11

    "Complex  dynamical networks: modeling, control  and  synchrorization"
    CERG Grant,  supported  by  the  Hong Kong  Research Grants  Council,  No.  CityUl  1141058  (2005-2001)

    2005-2007

    Prof. Dr. Eng. Guanrong Chen
    Director CCCN, City University of Hong Kong

    Art. G10

    12

    “Characterization of Chaos and Synchronization in Biomedical Time Series with Novel Surrogate Techniques”
    PolyU Grant 5235/03E, supported by the Hong Kong Polytechnic University

    2002-2005

    Prof. Michal Small
    The University of Western Australia

    Art. G6, G10

    13

    “Evaluación de Protocolos y Algoritmos de Seguridad en Sistemas de Información”
    Grant SEG 2004-02418 supported by Ministry of Science and Technology of Spain

    2005-2007

    Prof. Dr. Fausto Montoya Vitini
    Doctor Ad Honorem
    Instituto de Tecnologías Fisícas y de la Información „Leonardo Torres Quevedo”(ITEFI), Spain

    Art. G6

    14

      "Designing chaos  generators  via  feedback  control  method  for  engineering applications," 
    CERG  Grant, supported  by  the  Hong  Kong  Research Grants  Council,  No. CityU1004l02E

    2001-2004

    Prof. Dr. Eng. Guanrong Chen

    Director CCCN, City University of Hong Kong

    Art. G11

     

    G1 Marius-F Danca, Roberto Garrappa, Wallace K. S. Tang, Guanrong Chen, Sustaining stable dynamics of a fractional-order chaotic financial system by parameter switching, Computers and Mathematics with Applications,66(5), 702–716, 2013.

    G2 Marius-F Danca, W.K.S. Tang, Q. Wang, G. Chen, Suppressing chaos in fractional-order systems by periodic perturbations on system variables, The European Physical Journal B, 86(3); Article number: 79, 2013.

    G3 Marius-F. Danca, Paul Bourke, Miguel Romera, Graphical exploration of the connectivity sets of alternated Julia sets; M, the set of disconnected alternated Julia sets, Nonlinear Dynamics, 73, 1155–1163, 2013.

    G4 G. Pastor, M. Romera, A. B. Orue, A. Martin, Marius-F. Danca, F. Montoya, Harmonic Analysis in Discrete Dynamical Systems, International Journal of Modern Nonlinear Theory and Application 1(1), 14-31, 2012.

    G5 G. Pastor, M. Romera, A. Orue, A. Martin, Marius-F. Danca and F. Montoya, Calculation of the structure of a shrub in the Mandelbrot set, Discrete Dynamics in Nature and Society, 2011, 1-23, 2011.

    G6 M. Romera, M. Small, Marius-F. Danca, Deterministic and random synthesis of discrete chaos, Applied Mathematics and Computation, 192(1), 283–297, 2007.

    G7 Marius-F. Danca, M. Romera, G. Pastor, Alternated Julia sets and connectivity properties, International Journal of Bifurcation and Chaos, 19(6) 2123–2129, 2009.

    G8 Marius-F. Danca, Steliana Codreanu, Modeling numerically the Rikitake's attractors by parameter switching, Journal of the Franklin Institute, 349 (3) 861-878 2012.

    G9 Marius-F. Danca, Wallace K. S. Tang and Guanrong Chen, A switching scheme for synthesizing attractors of dissipative chaotic systems, Applied Mathematics and Computation, 201(1-2), 650–667, 2008.

    G10 4.1.37 X. Luo, M. Small, Marius-F. Danca and G. Chen, On a dynamical system with multiple chaotic attractors, International Journal of Bifurcation and Chaos, 17(9), 3235 - 3251, 2007.

    G11 Marius-F. Danca and Guanrong Chen, Bifurcation and chaos in a complex model of dissipative medium, International Journal of Bifurcation and Chaos, 14(10), 3409–3447, 2004.

    G12 Marius-F. Danca, Michal Fečkan, Nikolay Kuznetsov, Guanrong Chen, Looking more closely to the Rabinovich-Fabrikant system, International Journal of Bifurcation and Chaos, 26(2), 1650038 (2016).

    G13 Marius-F. Danca, Michal Fečkan, Miguel Romera, Generalized Form of Parrondo' s Paradoxical Game with Applications to Chaos Control, International Journal of Bifurcation and Chaos, 24(01), 1450008 (2014).

    G14 Marius-F. Danca, Michal Fečkan, Note on a Parameter Switching Method for Nonlinear ODES, Mathematica Slovaca, accepted, 2014.

    G 15 Marius-F. Danca, Nikolay Kuznetsov, Guanrong Chen, Fractional-order PWC systems without zero Lyapunov exponents, Nonlinear Dynamics, accepted (2018).

    G16 Marius-F. Danca, Nikolay Kuznetsov, Guanrong Chen, Approximating hidden chaotic attractors via parameter switching, CHAOS, 28, 013127 (2018).

    G17 Marius-F. Danca, M. Feckan, Nikolay Kuznetsov, Guanrong Chen, Complex dynamics, hidden attractors and continuous approximation of a fractional-order hyperchaotic PWC system, Nonlinear Dynamics, accepted (2017).

    G18 Marius.-F. Danca, Michal Feckan, Nikolay Kuznetsov, Chaos control in the fractional order logistic map via impulses, Nonlinear Dynamics, 98,(2), 1219–1230 (2019).

    G19 Marius.-F. Danca, Michal Feckan, Nikolay Kuznetsov, Guanrong Chen, Rich dynamics and anticontrol of extinction in a prey-predator system, Nonlinear Dynamics, 98, (2), 1421–1445, (2019).

    G20 Marius.-F. Danca, Paul Bourke, Nikolay Kuznetsov, Graphical structure of attraction basins of hidden attractors: the Rabinovich-Fabrikant system, International Journal of Bifurcation and Chaos, 29(01) 1930001 (2019).


4. Articole publicate în reviste cotate CNCSIS B+ (Romanian scientific journals)

 

5. Articole publicate în reviste cotate CNCSIS B (Romanian scientific journals)

 

 

 

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