THE FORCED CHAOTIC AND IRREGULAR OSCILLATIONS OF THE NONLINEAR TWO DEGREES OF FREEDOM (2DOF) SYSTEM

DOI10.1142/S0218127499000328zbMath0951.70015MaRDI QIDQ4941671

Ondřej Szöllös, Ladislav Půst

Publication date: 2 January 2001

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

zbMATH Keywords

bifurcationschaotic motionsinstability domainshysteresis loopsharmonic forcephase plane portraitsfirst approximation solutionmultifold solutiontwo-degree-of-freedom nonlinear mechanical system

Mathematics Subject Classification ID

Forced motions for nonlinear problems in mechanics (70K40) Phase plane analysis, limit cycles for nonlinear problems in mechanics (70K05) Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics (70K55)

Related Items (1)

Bifurcation structure of two coupled periodically driven double-well Duffing oscillators.

Cites Work

• Combination parametric resonance leading to periodic and chaotic response in two-degree-of-freedom systems with quadratic non-linearities
• Bifurcations in Dynamical Systems With Internal Resonance
• ON THE SLOW TRANSITION ACROSS INSTABILITIES IN NON-LINEAR DISSIPATIVE SYSTEMS
• On the amplitude dynamics and crisis in resonant motion of stretched strings
• Modal Interactions in Dynamical and Structural Systems

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