BIFURCATION STRUCTURE AT 1/3-SUBHARMONIC RESONANCE IN AN ASYMMETRIC NONLINEAR ELASTIC OSCILLATOR

DOI10.1142/S0218127496000904zbMath0878.34037MaRDI QIDQ4346582

A. Salvatori, Giuseppe Rega

Publication date: 3 August 1997

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

zbMATH Keywords

bifurcation diagramsglobal dynamicsbasins of attractionunstable periodic solutions1/3-subharmonic resonance regimeasymmetric nonlinear oscillatorattractor-basin bifurcation structureattractor-basin-manifold phase portraitsdirect and inverse saddlesmain and secondary evolutions to chaossudden bifurcational events

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Forced motions for nonlinear problems in mechanics (70K40) Dynamical systems and ergodic theory (37-XX)

Related Items

Oscillators with symmetric and asymmetric quadratic nonlinearity ⋮ Two-parameter sliding bifurcations of periodic solutions in a dry-friction oscillator ⋮ Thermomechanical modelling, nonlinear dynamics and chaos in shape memory oscillators ⋮ Controlling Nonlinear Dynamics in a Two-Well Impact System. ⋮ Controlling Nonlinear Dynamics in a Two-Well Impact System. ⋮ Secondary Bifurcations and High Periodic Orbits in Voltage Controlled Buck Converter ⋮ Non-linearity, bifurcation and chaos in the finite dynamics of different cable models.