Effects of multi global bifurcations on basin organization, catastrophes and final outcomes in a driven nonlinear oscillator at the 2T-subharmonic resonance

DOI10.1023/A:1008299800048zbMath0937.70015OpenAlexW276663305MaRDI QIDQ1286454

Elżbieta Tyrkiel, Wanda Szemplińska-Stupnicka

Publication date: 13 June 2000

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

Full work available at URL: https://doi.org/10.1023/a:1008299800048

zbMATH Keywords

Poincaré mapsbasins of attractioncatastrophessubcritical flip bifurcation2T-subharmonic resonancebasin-phase portraitsdissipative driven softening oscillatormultiglobal bifurcationsmultiple coexisting attractors

Mathematics Subject Classification ID

Forced motions for nonlinear problems in mechanics (70K40) Bifurcations and instability for nonlinear problems in mechanics (70K50) Dynamical systems in classical and celestial mechanics (37N05)

Related Items (2)

Oscillators with symmetric and asymmetric quadratic nonlinearity ⋮ Multiple nested basin boundaries in nonlinear driven oscillators

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