Alternation of regular and chaotic dynamics in a simple two-degree-of-freedom system with nonlinear inertial coupling

DOI10.1063/1.3683480zbMath1331.70063OpenAlexW1977575953WikidataQ51391861 ScholiaQ51391861MaRDI QIDQ2787718

Grigori Sigalov, Oleg V. Gendelman, Mohammad A. Al-Shudeifat, Lawrence A. Bergman, Alexander F. Vakakis, Leonid I. Manevitch

Publication date: 4 March 2016

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.3683480

Mathematics Subject Classification ID

Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics (70K55) Qualitative investigation and simulation of ordinary differential equation models (34C60) Complex behavior and chaotic systems of ordinary differential equations (34C28)

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Cites Work

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• Sensitive dependence on initial conditions of strongly nonlinear periodic orbits of the forced pendulum
• Gauge Theory of Small Vibrations in Polyatomic Molecules

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