Chaotification for a Class of First-Order Partial Difference Equations

This paper is concerned with chaotification for a class of first-order partial difference equations, in which the system size is finite or infinite. Nine new chaotification schemes for the class of...

[1]  F. R. Marotto Snap-back repellers imply chaos in Rn , 1978 .

[2]  J. Banks,et al.  On Devaney's definition of chaos , 1992 .

[3]  Qu,et al.  Controlling spatiotemporal chaos in coupled map lattice systems. , 1994, Physical review letters.

[4]  Walter J. Freeman,et al.  Chaos in the brain: Possible roles in biological intelligence , 1995, Int. J. Intell. Syst..

[5]  Guanrong Chen,et al.  FEEDBACK CONTROL OF LYAPUNOV EXPONENTS FOR DISCRETE-TIME DYNAMICAL SYSTEMS , 1996 .

[6]  Guanrong Chen,et al.  Bifurcation control of two nonlinear models of cardiac activity , 1997 .

[7]  Guanrong Chen,et al.  Feedback anticontrol of discrete chaos , 1998 .

[8]  Guanrong Chen,et al.  Chaotification via arbitrarily Small Feedback Controls: Theory, Method, and Applications , 2000, Int. J. Bifurc. Chaos.

[9]  L. Kocarev,et al.  Chaos and cryptography: block encryption ciphers based on chaotic maps , 2001 .

[10]  Guanrong Chen,et al.  On Spatial Periodic orbits and Spatial Chaos , 2003, Int. J. Bifurc. Chaos.

[11]  F. Willeboordse The spatial logistic map as a simple prototype for spatiotemporal chaos. , 2003, Chaos.

[12]  Guanrong Chen,et al.  Chaos of discrete dynamical systems in complete metric spaces , 2004 .

[13]  Guanrong Chen,et al.  Chaotification of Discrete Dynamical Systems Governed by Continuous Maps , 2005, Int. J. Bifurc. Chaos.

[14]  Guanrong Chen,et al.  Stability and chaos in 2-D discrete systems☆ , 2005 .

[15]  Guanrong Chen,et al.  Chaotification of Discrete Dynamical Systems in Banach Spaces , 2006, Int. J. Bifurc. Chaos.

[16]  Guanrong Chen,et al.  Introduction to anti-control of discrete chaos: theory and applications , 2006, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences.

[17]  Yuming Shi Chaos in first-order partial difference equations , 2008 .