ASYMMETRIC PERIODIC MOTIONS WITH CHAOS IN A SOFTENING DUFFING OSCILLATOR

DOI10.1142/S0218127413500867zbMath1270.34075OpenAlexW2124484443MaRDI QIDQ2845302

Jianzhe Huang, Albert C. J. Luo

Publication date: 22 August 2013

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

Full work available at URL: https://doi.org/10.1142/s0218127413500867

zbMATH Keywords

Hopf bifurcationsoftening Duffing oscillatorsymmetric periodic motionsasymmetric periodic motions

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Theoretical approximation of solutions to ordinary differential equations (34A45) Bifurcation theory for ordinary differential equations (34C23) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Complex behavior and chaotic systems of ordinary differential equations (34C28)

Related Items (1)

Nonlinear Dynamics of a Smooth and Discontinuous Oscillator with Multiple Stability

Cites Work

• A quantitative stability and bifurcation analysis of the generalized Duffing oscillator with strong nonlinearity
• Averaging using elliptic functions: Approximation of limit cycles
• Subharmonic resonances and criteria for escape and chaos in a driven oscillator
• A nonlinear oscillator with a strange attractor
• Influences of harmonic coupling on bifurcations in duffing oscillator with bounded potential well
• ANALYTICAL DYNAMICS OF PERIOD-m FLOWS AND CHAOS IN NONLINEAR SYSTEMS
• Analytical Routes of Period-1 Motions to Chaos in a Periodically Forced Duffing Oscillator with a Twin-well Potential

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