Quasi-periodic solutions and periodic bursters in quasiperiodically driven oscillators

DOI10.1016/j.cnsns.2008.09.007zbMath1221.34116OpenAlexW1964914668MaRDI QIDQ716763

Faouzi Lakrad, Mohamed Belhaq

Publication date: 30 September 2011

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2008.09.007

zbMATH Keywords

quasi-periodic solutionsperiodic burster

Mathematics Subject Classification ID

Almost and pseudo-almost periodic solutions to ordinary differential equations (34C27)

Related Items (3)

Mixed mode oscillations induced by bi-stability and fractal basins in the FGP plate under slow parametric and resonant external excitations ⋮ Instability zones in the dynamics of a quantum mechanical quasiperiodic parametric oscillator ⋮ Quasi-periodic bursters and chaotic dynamics in a shallow arch subject to a fast-slow parametric excitation

Cites Work

• Asymptotic solutions for a damped non-linear quasi-periodic Mathieu equation
• Quasi-periodic oscillations, chaos and suppression of chaos in a nonlinear oscillator driven by parametric and external excitations
• Bursters and quasi-periodic solutions of a self-excited quasi-periodic Mathieu oscillator
• Three-period quasi-periodic solutions in the self-excited quasi-periodic Mathieu oscillator
• Hill's equation with quasi-periodic forcing: resonance tongues, instability pockets and global phenomena
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