Bifurcation and chaos in the Duffing oscillator with a PID controller

DOI10.1023/A:1008204332684zbMath0881.70014OpenAlexW147185871MaRDI QIDQ1362207

Yuanli Cai, Fangsen Cui, Chye Heng Chew, Jian-xue Xu

Publication date: 19 February 1998

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

Full work available at URL: https://doi.org/10.1023/a:1008204332684

zbMATH Keywords

Hopf bifurcationparameter spaceMelnikov methodfractal basin boundaryglobal stable fixed point

Mathematics Subject Classification ID

Bifurcations and instability for nonlinear problems in mechanics (70K50) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Related Items (6)

Chaotic behavior in sampled-data control systems with saturating control ⋮ Antiperiodic oscillations in a forced Duffing oscillator ⋮ Constructing the second order Poincaré map based on the Hopf-zero unfolding method ⋮ Extended framework of Hamilton's principle applied to Duffing oscillation ⋮ BIFURCATION CONTROL: THEORIES, METHODS, AND APPLICATIONS ⋮ Active nonlinear control of buckling and vibrations of a flexible buckled beam.

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