Two-Dimensional Coupled Parametrically forced Map

A two-dimensional parametrically forced system constructed from two identical one-dimensional subsystems, whose parameters are forced into periodic varying, with mutually influencing coupling is pr...

[1]  I Kanter,et al.  Synchronization of networks of chaotic units with time-delayed couplings. , 2009, Physical review. E, Statistical, nonlinear, and soft matter physics.

[2]  Jürgen Kurths,et al.  Coupled Bistable Maps: a Tool to Study convection Parameterization in Ocean Models , 2004, Int. J. Bifurc. Chaos.

[3]  Walter J. Freeman,et al.  A Neurobiological Theory of Meaning in Perception Part I: Information and Meaning in Nonconvergent and Nonlocal Brain Dynamics , 2003, Int. J. Bifurc. Chaos.

[4]  Pulses of chaos synchronization in coupled map chains with delayed transmission. , 2009, Physical review. E, Statistical, nonlinear, and soft matter physics.

[5]  A. Lloyd.  THE COUPLED LOGISTIC MAP : A SIMPLE MODEL FOR THE EFFECTS OF SPATIAL HETEROGENEITY ON POPULATION DYNAMICS , 1995 .

[6]  G. Abramson,et al.  Analytic solutions for nonlinear waves in coupled reacting systems , 2002 .

[7]  Pedro G. Lind,et al.  Impact of bistability in the synchronization of chaotic maps with delayed coupling and complex topologies , 2006 .

[8]  C. Mira,et al.  Chaotic Dynamics: From the One-Dimensional Endomorphism to the Two-Dimensional Diffeomorphism , 1987 .

[9]  Eduard Alarcón,et al.  Synchronization of nonlinear electronic oscillators for neural computation , 2004, IEEE Transactions on Neural Networks.

[10]  C. Masoller,et al.  Synchronizability of chaotic logistic maps in delayed complex networks , 2008, 0805.2420.

[11]  Yoshifumi Nishio,et al.  Bifurcation and basin in two coupled parametrically forced logistic maps , 2011, 2011 IEEE International Symposium of Circuits and Systems (ISCAS).

[12]  Cristina Masoller,et al.  Complex transitions to synchronization in delay-coupled networks of logistic maps , 2011, 1105.5784.

[13]  Carroll,et al.  Synchronization in chaotic systems. , 1990, Physical review letters.

[14]  Z. Duan,et al.  Synchronization transitions on scale-free neuronal networks due to finite information transmission delays. , 2009, Physical review. E, Statistical, nonlinear, and soft matter physics.

[15]  Guanrong Chen,et al.  Synchronization transitions on small-world neuronal networks: Effects of information transmission delay and rewiring probability , 2008 .

[16]  Hatsuo Hayashi,et al.  Transition to chaos via intermittency in the onchidium pacemaker neuron , 1983 .

[17]  Gouhei Tanaka,et al.  Multistate associative memory with parametrically coupled map networks , 2004, The 2004 IEEE Asia-Pacific Conference on Circuits and Systems, 2004. Proceedings..

[18]  Jean-Pierre Carcasses.  DETERMINATION OF DIFFERENT CONFIGURATIONS OF FOLD AND FLIP BIFURCATION CURVES OF A ONE OR TWO-DIMENSIONAL MAP , 1993 .

[19]  H. Fujisaka,et al.  Stability Theory of Synchronized Motion in Coupled-Oscillator Systems , 1983 .