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• W2042814236 endingPage "2869" @default.
• W2042814236 startingPage "2823" @default.
• W2042814236 abstract "Studies of nonlinear dynamical systems with many degrees of freedom show that the behavior of these systems is significantly different as compared with the behavior of systems with less than two degrees of freedom. These findings motivated us to carry out a survey of research focusing on the behavior of high-dimensional chaos, which include onset of chaos, routes to chaos and the persistence of chaos. This paper reports on various methods of generating and investigating nonlinear, dissipative and driven dynamical systems that exhibit high-dimensional chaos, and reviews recent results in this new field of research. We study high-dimensional Lorenz, Duffing, Rössler and Van der Pol oscillators, modified canonical Chua's circuits, and other dynamical systems and maps, and we formulate general rules of high-dimensional chaos. Basic techniques of chaos control and synchronization developed for high-dimensional dynamical systems are also reviewed." @default.
• W2042814236 created "2016-06-24" @default.
• W2042814236 creator A5028452828 @default.
• W2042814236 creator A5074123865 @default.
• W2042814236 date "2009-09-01" @default.
• W2042814236 modified "2023-10-17" @default.
• W2042814236 title "HIGH-DIMENSIONAL CHAOS IN DISSIPATIVE AND DRIVEN DYNAMICAL SYSTEMS" @default.
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