Simplest driven conservative chaotic oscillator

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Author(s)
Gottlieb, Hans
Sprott, J.
Griffith University Author(s)
Year published
2001
Metadata
Show full item recordAbstract
Sinusoidally driven oscillator equations with a power-law nonlinearity are investigated computationally to determine the driving frequency which produces the "most chaos", i.e., the maximized largest Lyapunov exponent. It is argued that the "simplest" such driven chaotic oscillator has a cubic nonlinearity x3.Sinusoidally driven oscillator equations with a power-law nonlinearity are investigated computationally to determine the driving frequency which produces the "most chaos", i.e., the maximized largest Lyapunov exponent. It is argued that the "simplest" such driven chaotic oscillator has a cubic nonlinearity x3.
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Journal Title
Physics Letters A
Volume
291
Issue
6
Copyright Statement
© 2001 Elsevier. This is the author-manuscript version of this paper. Reproduced in accordance with the copyright policy of the publisher. Please refer to the journal's website for access to the definitive, published version.
Subject
Mathematical Sciences
Physical Sciences