Effects of a low frequency parametric excitation

DOI10.1016/j.chaos.2004.03.029zbMath1129.74320OpenAlexW2034354739MaRDI QIDQ1766575

Faouzi Lakrad, Werner O. Schiehlen

Publication date: 8 March 2005

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2004.03.029

Mathematics Subject Classification ID

Bifurcations and instability for nonlinear problems in mechanics (70K50) Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics (70K55) Dynamical bifurcation of solutions to dynamical problems in solid mechanics (74H60) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Related Items (7)

Mixed mode oscillations induced by bi-stability and fractal basins in the FGP plate under slow parametric and resonant external excitations ⋮ Nonlinear normal modes of a shallow arch with elastic constraints for two-to-one internal resonances ⋮ Parametric excitation induced extreme events in MEMS and Liénard oscillator ⋮ Perturbation methods and the Melnikov functions for slowly varying oscillators ⋮ Quasi-periodic bursters and chaotic dynamics in a shallow arch subject to a fast-slow parametric excitation ⋮ Analysis of in-plane 1:1:1 internal resonance of a double cable-stayed shallow arch model with cables' external excitations ⋮ Complex Bursting Patterns in a van der Pol–Mathieu–Duffing Oscillator

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