Control and anticontrol of chaos

This article offers an overview on some commonly concerned issues related to control and anticontrol of chaos. Similar to conventional systems control, the concept of controlling chaos is first to mean suppressing chaos in the sense of stabilising chaotic system responses. The process of chaos control is now understood as a transition between chaos and order and, sometimes, from chaos to chaos, depending on the application of interest. Anticontrol of chaos, in contrast to the main stream of ordering or suppressing chaos, is to make a nonchaotic dynamical system chaotic, or to retain/enhance the existing chaos of a complex system. Anticontrol of chaos has emerged as a theoretically attractive and potentially useful new subject in system control theory and time critical or energy-critical high-performance applications.

[1]  Guanrong Chen,et al.  On feedback control of chaotic continuous-time systems , 1993 .

[2]  Ying-Cheng Lai,et al.  Controlling chaos , 1994 .

[3]  W. Freeman The physiology of perception. , 1991, Scientific American.

[4]  J. Ford,et al.  What is chaos, that we should be mindful of it , 1993 .

[5]  Eyad H. Abed,et al.  Stabilization of period doubling bifurcations and implications for control of chaos , 1994 .

[6]  Maciej Ogorzalek,et al.  Taming chaos. II. Control , 1993 .

[7]  J. Yorke,et al.  Period Three Implies Chaos , 1975 .

[8]  Maciej Ogorzalek,et al.  Taming chaos. I. Synchronization , 1993 .

[9]  Celso Grebogi,et al.  Using small perturbations to control chaos , 1993, Nature.

[10]  A Garfinkel,et al.  Controlling cardiac chaos. , 1992, Science.

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

[12]  E. Atlee Jackson,et al.  OPCL MIGRATION CONTROLS BETWEEN FIVE ATTRACTORS OF THE CHUA SYSTEM , 1995 .

[13]  E. A. Jackson On the control of complex dynamic systems , 1991 .

[14]  Guanrong Chen,et al.  From Chaos to Order - Perspectives and Methodologies in Controlling Chaotic Nonlinear Dynamical Systems , 1993 .

[15]  Guanrong Chen,et al.  An overview of bifurcation, chaos and nonlinear dynamics in control systems , 1994 .

[16]  A Garfinkel,et al.  Chaos and chaos control in biology. , 1994, The Journal of clinical investigation.

[17]  Alberto Tesi,et al.  Harmonic balance analysis of period-doubling bifurcations with implications for control of nonlinear dynamics , 1996, Autom..

[18]  Ott,et al.  Preserving chaos: Control strategies to preserve complex dynamics with potential relevance to biological disorders. , 1995, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[19]  W. Ditto,et al.  Controlling chaos in the brain , 1994, Nature.