Nonlinear dynamics and solitons in the presence of rapidly varying periodic perturbations.

DOI10.1016/0960-0779(94)E0114-5zbMath1080.35523OpenAlexW1965841377MaRDI QIDQ815197

Karl H. Spatschek, Yuri S. Kivshar

Publication date: 16 February 2006

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

Full work available at URL: https://doi.org/10.1016/0960-0779(94)e0114-5

Mathematics Subject Classification ID

Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Nonlinear dynamics in mechanics (70K99) Soliton equations (35Q51)

Related Items (8)

Slow-fast dynamics in the truss core sandwich plate under excitations with high and low frequencies ⋮ Rapidly oscillating ac-driven long Josephson junctions with phase-shifts ⋮ Averaging of nonlinearity-managed pulses ⋮ Resonant control of solitons ⋮ Quasi-periodic bursters and chaotic dynamics in a shallow arch subject to a fast-slow parametric excitation ⋮ Exact stationary solutions of the parametrically driven and damped nonlinear Dirac equation ⋮ Nonlinear Physics: Integrability, Chaos and Beyond ⋮ Soliton chaos and lengthscale competition in nonlinear dynamics.

Cites Work

• Soliton chaos and lengthscale competition in nonlinear dynamics.
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Regular and stochastic motion
• Taming chaotic dynamics with weak periodic perturbations

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