Properties of chaotic and regular boundary crisis in dissipative driven nonlinear oscillators

DOI10.1023/A:1008339214577zbMath0943.70015OpenAlexW156136203MaRDI QIDQ1806828

A. Zubrzycki, Elżbieta Tyrkiel, Wanda Szemplińska-Stupnicka

Publication date: 5 September 2000

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1008339214577

zbMATH Keywords

global bifurcationchaotic attractorschaotic boundary crisisdestroyer saddle invariant manifoldshomoclinic tangling of destroyer saddleregular boundary crisissymmetric twin-well potential Duffing systemunsymmetric single-well potential oscillator with nonlinearity

Mathematics Subject Classification ID

Forced motions for nonlinear problems in mechanics (70K40) Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics (70K55) Dynamical systems in classical and celestial mechanics (37N05) Homoclinic and heteroclinic trajectories for nonlinear problems in mechanics (70K44)

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• Dynamics

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