Double Hopf bifurcations and chaos of a nonlinear vibration system

DOI10.1023/A:1008347523779zbMath0967.70017MaRDI QIDQ1974284

Qinsheng Bi, Pei Yu

Publication date: 10 May 2001

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

zbMATH Keywords

stabilitychaoscritical pointquasi-periodic solutionsnormal form theorytwo-dimensional torusdouble Hopf bifurcationsecondary bifurcationcascading bifurcationsdouble pendulum systemnonsemisimple 1:1 resonanceperiod-doubling routephase-locked periodic solutionspositive damping

Mathematics Subject Classification ID

Bifurcations and instability for nonlinear problems in mechanics (70K50) Quasi-periodic motions and invariant tori for nonlinear problems in mechanics (70K43) Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics (70K55)

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