Ordered and Chaotic Phenomena in Two Coupled Forced LCR oscillators Sharing a Common Nonlinearity

This paper suggests a simple mechanism of sharing a common nonlinearity among the linear oscillators to exhibit some interesting phenomena. Here, we present fourth-order nonautonomous circuit capab...

[1]  M. Lakshmanan,et al.  Chaos in Nonlinear Oscillators: Controlling and Synchronization , 1996 .

[2]  Rafael Martínez-Guerra,et al.  Chaotic Synchronization and Secure Communication via Sliding-Mode Observer , 2008, Int. J. Bifurc. Chaos.

[3]  D. V. Senthilkumar,et al.  Strong Chaos in a Forced Negative Conductance Series LCR Circuit , 2005, Int. J. Bifurc. Chaos.

[4]  Krishnamurthy Murali,et al.  Bifurcation and chaos of the sinusoidally-driven Chua's circuit , 1991 .

[5]  Xian Liu,et al.  Attractors of Fourth-Order Chua's Circuit and Chaos Control , 2007, Int. J. Bifurc. Chaos.

[6]  M. Lakshmanan,et al.  Bifurcation and chaos in the double-well Duffing–van der Pol oscillator: Numerical and analytical studies , 1997, chao-dyn/9709013.

[7]  K. Thamilmaran,et al.  Classification of bifurcations and Routes to Chaos in a Variant of Murali-lakshmanan-chua Circuit , 2002, Int. J. Bifurc. Chaos.

[8]  金子 邦彦.  Theory and applications of coupled map lattices , 1993 .

[9]  Ahmed S. Elwakil,et al.  Improved implementation of Chua's chaotic oscillator using current feedback op amp , 2000 .

[10]  T. Saito,et al.  Chaos from a hysteresis and switched circuit , 1995, Philosophical Transactions of the Royal Society of London. Series A: Physical and Engineering Sciences.

[11]  Meng Zhan,et al.  Complete periodic synchronization in coupled systems. , 2008, Chaos.

[12]  Recai Kiliç,et al.  Mixed-mode chaotic circuit , 2000 .

[13]  Takashi Matsumoto,et al.  A chaotic attractor from Chua's circuit , 1984 .

[14]  Alexander Yu. Loskutov,et al.  Control of dynamical systems behavior by parametric perturbations: An analytic approach. , 1994, Chaos.

[15]  Ioannis M. Kyprianidis,et al.  Chaotic behaviour of a fourth-order autonomous electric circuit , 2003 .

[16]  L. Chua,et al.  The simplest dissipative nonautonomous chaotic circuit , 1994 .

[17]  Recai Kiliç,et al.  Mixed-Mode Chaotic Circuit and its Application to Chaotic Communication for Transmission of Analog signals , 2001, Int. J. Bifurc. Chaos.

[18]  Akio Ushida,et al.  Chaotic Wandering and Its Analysis in Simple Coupled Chaotic Circuits , 2002, IEICE Trans. Fundam. Electron. Commun. Comput. Sci..

[19]  Michael Peter Kennedy.  Chaos in the Colpitts oscillator , 1994 .

[20]  K. Thamilmaran,et al.  Enriched Dynamics of a Simple Nonlinear nonautonomous Parallel LCR Circuit , 2009, Int. J. Bifurc. Chaos.

[21]  Rabinder N Madan,et al.  Chua's Circuit: A Paradigm for Chaos , 1993, Chua's Circuit.

[22]  Rong Li,et al.  A Modified Chua's Circuit with an Attraction-Repulsion Function , 2008, Int. J. Bifurc. Chaos.

[23]  Hakan Kuntman,et al.  Improved Realization of Mixed-Mode Chaotic Circuit , 2002, Int. J. Bifurc. Chaos.

[24]  Recai Kiliç.  Impulsive Synchronization between Two Mixed-mode Chaotic Circuits , 2005, J. Circuits Syst. Comput..

[25]  Krishnamurthy Murali,et al.  Synchronization through Compound Chaotic Signal in Chua's Circuit and Murali–Lakshmanan–Chua Circuit , 1997 .

[26]  Guo-Qun Zhong,et al.  Periodicity and Chaos in Chua's Circuit , 1985 .