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A novel method of control using chaotic dynamics in systems having many degrees‐of‐freedom
Author(s) -
Li Yongtao,
Tanaka Tai,
Suemitsu Yoshikazu,
Nara Shigetoshi
Publication year - 2007
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200700684
Subject(s) - chaotic , attractor , degrees of freedom (physics and chemistry) , computer science , synchronization of chaos , complex dynamics , context (archaeology) , state space , simple (philosophy) , control of chaos , control theory (sociology) , generator (circuit theory) , state (computer science) , statistical physics , control (management) , mathematics , artificial intelligence , physics , algorithm , mathematical analysis , paleontology , philosophy , statistics , epistemology , quantum mechanics , biology , power (physics)
Chaotic dynamics in systems having many degrees of freedom are investigated from the viewpoint of harnessing chaos and is applied to complex control problems to indicate that chaotic dynamics has potential capabilities for complex control functions by simple rule(s). An important idea is that chaotic dynamics generated in these systems give us autonomous complex pattern dynamics itinerating through intermediate state points between embedded designed attractors in high‐dimensional state space. A key point is that, with the use of simple adaptive switching between a weakly chaotic regime and a strongly chaotic regime, complex problems can be solved. As an actual example, a two‐dimensional maze, where it should be noted that the set context is one of typical ill‐posed problems, is solved with the use of chaos in a recurrent neural network model. Our computer experiments show that the success rate over several hundreds trials is much better, at least, than that of a random number generator. Our functional simulations indicate that harnessing of chaos is one of essential ideas to approach mechanisms of brain functions. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)