Four Indeterminate Pitchfork Bifurcations Resulting in Unpredictable Dynamics in Nonlinear Driven Oscillators

DOI10.1142/S0218127498001662zbMath1003.37034OpenAlexW2048544410MaRDI QIDQ4941359

Mohamed S. Soliman

Publication date: 29 February 2000

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

Full work available at URL: https://doi.org/10.1142/s0218127498001662

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Forced motions for nonlinear problems in mechanics (70K40) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Cites Work

• Catastrophes with indeterminate outcome
• Indeterminate jumps to resonance from a tangled saddle-node bifurcation
• BASIN ORGANIZATION PRIOR TO A TANGLED SADDLE-NODE BIFURCATION
• Indeterminate trans-critical bifurcations in parametrically excited systems

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