Simplest driven conservative chaotic oscillator

DOI10.1016/S0375-9601(01)00765-4zbMath1010.70020OpenAlexW2096452248MaRDI QIDQ5950416

H. P. W. Gottlieb, Julien Clinton Sprott

Publication date: 11 December 2001

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0375-9601(01)00765-4

zbMATH Keywords

largest Lyapunov exponentcubic nonlinearitydriving frequencymaximal degree of chaospower-law nonlinearitysinusoidally driven oscillator

Mathematics Subject Classification ID

Forced motions for nonlinear problems in mechanics (70K40) Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics (70K55)

Related Items (10)

Unnamed Item ⋮ A simple chaotic delay differential equation ⋮ On hyperjerky systems ⋮ A Tribute to J. C. Sprott ⋮ Dissipative and conservative chaotic nature of a new quasi-periodically forced oscillator with megastability ⋮ Multiple coexisting attractors and hysteresis in the generalized Ueda oscillator ⋮ Analysis, synchronisation and circuit design of a new highly nonlinear chaotic system ⋮ PERIODICALLY FORCED CHAOTIC SYSTEM WITH SIGNUM NONLINEARITY ⋮ Classical limit of quantum mechanics induced by continuous measurements ⋮ Chaos in a Periodically Perturbed Second-Order Equation with Signum Nonlinearity

Cites Work

• Unnamed Item
• Determining Lyapunov exponents from a time series
• Transformation invariance of Lyapunov exponents
• Generalization of the method of slowly varying amplitude and phase to non-linear oscillatory systems with two degrees of freedom

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