EFFECT OF DISSIPATION ON THE HAMILTONIAN CHAOS IN COUPLED OSCILLATOR SYSTEMS

DOI10.1142/S0218127402004747zbMath1051.34030WikidataQ127705385 ScholiaQ127705385MaRDI QIDQ4736237

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Publication date: 9 August 2004

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

zbMATH Keywords

dissipationcoupled oscillatorschaotic attractorChaos

Mathematics Subject Classification ID

Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Complex behavior and chaotic systems of ordinary differential equations (34C28)

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Multistability and transition to chaos in the degenerate Hamiltonian system with weak nonlinear dissipative perturbation

Cites Work

• Parametric instability of two coupled nonlinear oscillators
• Integrability of Hamiltonians with third- and fourth-degree polynomial potentials
• Regular and chaotic motion in some quartic potentials
• Three identical oscillators with symmetric coupling
• Chaotic behaviour of a Hamiltonian with a quartic potential
• NONLINEAR INTERACTIONS BETWEEN TWO WIDELY SPACED MODES — EXTERNAL EXCITATION
• Existence of stable orbits in the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow><mml:mi mathvariant="italic">x</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow><mml:mi mathvariant="italic">y</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math>potential