Indeterminate trans-critical bifurcations in parametrically excited systems

DOI10.1098/rspa.1992.0170zbMath0825.70084OpenAlexW2106175101MaRDI QIDQ4033178

J. M. T. Thompson, Mohamed S. Soliman

Publication date: 16 May 1993

Published in: Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.1992.0170

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Parametric resonances for nonlinear problems in mechanics (70K28) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Related Items (6)

Michael Thompson: his seminal contributions to nonlinear dynamics -- and beyond ⋮ Generic features of escape from a potential well under parametric excitation ⋮ A Bracing Nonlinear Walk in Applied Mechanics: Memoirs and Reflections ⋮ Four Indeterminate Pitchfork Bifurcations Resulting in Unpredictable Dynamics in Nonlinear Driven Oscillators ⋮ Chaos in mechanical systems -- a review ⋮ Bifurcation and chaos in escape equation model by incremental harmonic balancing

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