Analysis, Control, and Synchronization of a 3-D Novel Jerk Chaotic System with Two Quadratic Nonlinearities

키워드

참고문헌 (73)

1. H. N. Agiza., "Synchronization of Rossler and Chen chaotic dynamical systems using active control", Physics Letters A, 278, pp.191~197 (2001)
2. K. T. Alligood., "Chaos: An introduction to Dynamical Systems" (2000), Springer
3. A. Arneodo., "Possible new strange attractors with spiral structure", Communications in Mathematical Physics, 79, pp.573~579 (1981)
4. V. Astakhov., "Antiphase synchronization in symmetrically coupled self-oscillators", International Journal of Bifurcation and Chaos, 10, pp.849~857 (2000)
5. G. L. Baker, "Chaotic Dynamics: An Introduction" (1990), Cambridge University Press
6. G. Cai., "Chaos synchronization of a new chaotic system via nonlinear control", Journal of Uncertain Systems, 1, pp.235~240 (2007)
7. G. Cai., "Adaptive backstepping control of the uncertain unified chaotic system", International Journal of Nonlinear Science, 4, pp.17~24 (2007)
8. G. Chen., "Yet another chaotic attractor", International Journal of Bifurcation and Chaos, 9, pp.1465~1466 (1999)
9. M. J. Feigenbaum, "Universal behaviour in nonlinear systems", Physica D : Nonlinear Phenomena, 7, pp.16~39 (1983)
10. H. Fujisaka., "Stability theory of synchronized motion in coupledoscillator systems", Progress of Theoretical Physics, 69, pp.32~47 (1983)
11. H. P. W. Gottlieb, "Question # 38. What is the simplest jerk function that gives chaos?", American Journal of Physics, 64, pp.525~ (1996)
12. B. A. Idowu., "Synchronization of chaos in non-identical parametrically excited systems, Chaos", Solitons and Fractals, 39, pp.2322~2331 (2009)
13. S. Jafari., "Simple chaotic flows with a line equilibrium, Chaos", Solitons and Fractals, 57, pp.79~84 (2013)
14. T. Kapitaniak, "Controlling Chaos: Theoretical and Practical Methods in Non-linear Dynamics" (1996), Academic Press
15. R. Karthikeyan., "Hybrid chaos synchronization of four-scroll systems via active control", Journal of Electrical Engineering, 65, pp.97~103 (2014)
16. M. Lakshmanan, "Chaos in Nonlinear Oscillators: Controlling and Synchronization" (1996), World Scientic
17. D. Li, "A three-scroll chaotic attractor", Physics Letters A, 372, pp.387~393 (2008)
18. C. X. Liu., "A new chaotic attractor, Chaos", Solitons and Fractals, 22, pp.1031~1038 (2004)
19. E. N. Lorenz, "Deterministic nonperiodic flow", Journal of the Atmospheric Sciences, 20, pp.130~141 (1963)
20. J. Lu., "A new chaotic attractor coined", International Journal of Bifurcation and Chaos, 12, pp.659~661 (2002)
21. R. Mainieri., "Projective synchronization in three-dimensional chaotic system", Physical Review Letters, 82, pp.3042~3045 (1999)
22. R. M. May, "Limit cycles in predator-prey communities", Science, 177, pp.900~908 (1972)
23. M. C. Pai, "Global synchronization of uncertain chaotic systems via discrete-time sliding mode control", Applied Mathematics and Computation, 227, pp.663~671 (2014)
24. L. M. Pecora., "Synchronization in chaotic systems", Physical Review Letters, 64, pp.821~825 (1990)
25. I. Pehlivan., "Analysis, synchronization and circuit design of a novel butterfly attractor", Journal of Sound and Vibration, 333, pp.5077~5096 (2014)
26. V. T. Pham., "Constructing a novel noequilibrium chaotic system", International Journal of Bifurcation and Chaos, 24, pp.1450073~ (2014)
27. A. S. Pikovsky., "Synchronization: A Unied Concept in Nonlinear Sciences" (2001), Cambridge University Press
28. S. Rasappan., "Global chaos synchronization of WINDMI and Coullet chaotic systems by backstepping control", Far East Journal of Mathematical Sciences, 67, pp.265~287 (2012)
29. S. Rasappan., "Hybrid synchronization of n-scroll Chua circuits using adaptive backstepping control design with recursive feedback", Malaysian Journal of Mathematical Sciences, 7, pp.219~226 (2013)
30. Suresh Rasappan, "Global Chaos Synchronization of WINDMI and Coullet Chaotic Systems using Adaptive Backstepping Control Design", Kyungpook Mathematical Journal, 54(2), pp.293~320 (2014), 경북대학교 자연과학대학 수학과[DOI]
31. M. G. Rosenblum., "Phase synchronization of chaotic oscillators", Physical Review Letters, 76, pp.1804~1807 (1996)
32. M. G. Rosenblum., "From phase to lag synchronization in coupled chaotic oscillators", Physical Review Letters, 78, pp.4193~4196 (1997)
33. O. E. Rossler, "An equation for continuous chaos", Physics Letters A, 57, pp.397~398 (1976)
34. D. Ruelle., "On the nature of turbulence", Communications in Mathematical Physics, 20, pp.167~192 (1971)
35. N. F. Rulkov., "Generalized synchronization of chaos in directionally coupled chaotic systems", Physical Review E, 51, pp.980~994 (1995)
36. P. Sarasu., "The generalized projective synchronization of hyperchaotic Lorenz and hyperchaotic Qi systems via active control", International Journal of Soft Computing, 6, pp.216~223 (2011)
37. P. Sarasu., "Adaptive controller design for the generalized projective synchronization of 4-scroll systems", International Journal of Signal System Control and Engineering Application, 5, pp.21~30 (2012)
38. P. Sarasu., "Generalized projective synchronization of threescroll chaotic systems via adaptive control", European Journal of Scienti c Research, 72, pp.504~522 (2012)
39. J. C. Sprott, "Some simple chaotic flows", Physical Review E, 50, pp.647~650 (1994)
40. J. C. Sprott, "Some simple chaotic jerk functions", American Journal of Physics, 65, pp.537~543 (1997)
41. J. C. Sprott, "A new class of chaotic circuit", Physics Letters A, 266, pp.19~23 (2000)
42. J. C. Sprott, "Chaos and Time-Series Analysis" (2003), Oxford University Press
43. J. C. Sprott, "Elegant Chaos" (2010), World Scientic
44. V. Sundarapandian, "Analysis and anti-synchronization of a novel chaotic system via active and adaptive controllers", Journal of Engineering Science and Technology Review, 6, pp.45~52 (2013)
45. V. Sundarapandian., "Anti-synchronization of hyperchaotic Lorenz and hyperchaotic Chen systems by adaptive control", International Journal of Signal System Control and Engineering Application, 4, pp.18~25 (2011)
46. V. Sundarapandian., "Anti-synchronization of Lu and Pan chaotic systems by adaptive nonlinear control", International Journal of Soft Computing, 6, pp.111~118 (2011)
47. V. Sundarapandian., "Anti-synchronization of L¨u and Pan chaotic systems by adaptive nonlinear control", European Journal of Scienti c Research, 64, pp.94~106 (2011)
48. V. Sundarapandian., "Adaptive anti-synchronization of uncertain Tigan and Li Systems", Journal of Engineering and Applied Sciences, 7, pp.45~52 (2012)
49. V. Sundarapandian., "Hybrid synchronization of hyperchaotic Lorenz and hyperchaotic Chen systems via active control", Journal of Engineering and Applied Sciences, 7, pp.254~264 (2012)
50. V. Sundarapandian., "Analysis, control, synchronization and circuit design of a novel chaotic system", Mathematical and Computer Modelling, 55, pp.1904~1915 (2012)
51. V. Sundarapandian., "Sliding controller design of hybrid synchronization of four-wing chaotic systems", International Journal of Soft Computing, 6, pp.224~231 (2011)
52. R. Suresh., "Global chaos synchronization of a family of n-scroll hyperchaotic Chua circuits using backstepping control with recursive feedback", Far East Journal of Mathematical Sciences, 73, pp.73~95 (2013)
53. X. Tan., "Synchronizing chaotic systems using backstepping design, Chaos", Solitons and Fractals, 16, pp.37~45 (2003)
54. G. Tigan., "Analysis of a 3D chaotic system, Chaos", Solitons and Fractals, 36, pp.1315~1319 (2008)
55. S. Vaidyanathan, "Anti-synchronization of Sprott-I and Sprott-M chaotic systems via adaptive control", International Journal of Control Theory and Applications, 5, pp.41~59 (2012)
56. S. Vaidyanathan, "Global chaos control of hyperchaotic Liu system via sliding control method", International Journal of Control Theory and Applications, 5, pp.117~123 (2012)
57. S. Vaidyanathan, "Adaptive backstepping controller and synchronizer design for Arneodo chaotic system with unknown parameters", International Journal of Computer Science and Information Technology, 4, pp.145~159 (2012)
58. S. Vaidyanathan, "A new six-term 3-D chaotic system with an exponential nonlinearity", Far East Journal of Mathematical Sciences, 79, pp.135~143 (2013)
59. S. Vaidyanathan, "Analysis and adaptive synchronization of two novel chaotic systems with hyperbolic sinusoidal and cosinusoidal nonlinearity and unknown parameters", Journal of Engineering Science and Technology Review, 6, pp.53~65 (2013)
60. S. Vaidyanathan, "A new eight-term 3-D polynomial chaotic system with three quadratic nonlinearities", Far East Journal of Mathematical Sciences, 84, pp.219~226 (2014)
61. S. Vaidyanathan, "Analysis, control and synchronisation of a six-term novel chaotic system with three quadratic nonlinearities, International Journal of Modelling", Identi cation and Control, 22, pp.41~53 (2014)
62. S. Vaidyanathan, "Analysis and adaptive synchronization of eight-term 3-D polynomial chaotic systems with three quadratic nonlinearities", European Physical Journal : Special Topics, 223, pp.1519~1529 (2014)
63. S. Vaidyanathan, "Global chaos synchronisation of identical Li-Wu chaotic systems via sliding mode control, International Journal of Modelling", Identi cation and Control, 22, pp.170~177 (2014)
64. S. Vaidyanathan., "Analysis, adaptive control and synchronization of a seven-term novel 3-D chaotic system", International Journal of Control Theory and Applications, 6, pp.121~137 (2013)
65. S. Vaidyanathan., "Generalized projective synchronization of sixterm Sundarapandian chaotic systems by adaptive control", International Journal of Control Theory and Applications, 6, pp.153~163 (2013)
66. S. Vaidyanathan., "Hybrid synchronization of hyperchaotic Wang-Chen and hyperchaotic Lorenz systems by active non-linear control", International Journal of Signal System Control and Engineering Application, 4, pp.55~61 (2011)
67. S. Vaidyanathan., "Global chaos synchronization of hyperchaotic Pang and hyperchaotic Wang systems via adaptive control", International Journal of Soft Computing, 7, pp.28~37 (2012)
68. S. Vaidyanathan., "Global chaos synchronization of n-scroll Chua circuit and Lur’e system using backstepping control design with recursive feedback", Arabian Journal for Science and Engineering, 39, pp.3351~3364 (2014)
69. S. Vaidyanathan., "Anti-synchronization of four-wing chaotic systems via sliding mode control", International Journal of Automatic Computing, 9, pp.274~279 (2012)
70. S. Vaidyanathan., "Adaptive backstepping control, synchronization and circuit simulation of a 3-D novel jerk chaotic system with two hyperbolic sinusoidal nonlinearities", Archives of Control Sciences, 24, pp.257~285 (2014)
71. U. E. Vincent, "Synchronization of identical and non-identical 4-D chaotic systems using active control, Chaos", Solitons and Fractals, 37, pp.1065~1075 (2008)
72. M. T. Yassen, "Controlling, synchronization and tracking chaotic Liu system using active backstepping design", Physics Letters A, 360, pp.582~587 (2007)
73. D. Zhang., "Projective synchronization of different chaotic time-delayed neural networks based on integral sliding mode controller", Applied Mathematics and Computation, 217, pp.164~174 (2010)

관련 논문AI추천