Semi‐Resonant Interactions and Frequency Dividers

DOI10.1002/sapm197352151zbMath0257.70017OpenAlexW2552362165MaRDI QIDQ5672260

Alan C. Newell, B. A. Funk, Mark J. Ablowitz

Publication date: 1973

Published in: Studies in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/sapm197352151

Mathematics Subject Classification ID

Nonlinear dynamics in mechanics (70K99)

Related Items (15)

Asymptotics for the solution of averaged equations for a system of coupled oscillators ⋮ Stationary phase theory and passage through resonance ⋮ Resonant Modal Interactions and Adiabatic Invariance for a Nonlinear Wave Equation in a Variable Domain ⋮ Linearly Coupled, Slowly Varying Oscillators: The Interaction of a Positive-Energy Mode With a Negative-Energy Mode ⋮ Triad Resonance for Weakly Coupled, Slowly Varying Oscillators ⋮ Boundary-layer receptivity due to distributed surface imperfections of a deterministic or random nature ⋮ The Passage of Weakly Coupled Nonlinear Oscillators through Internal Resonance ⋮ Nonlinear Transition Layers-The Second Painleve Transcendent ⋮ Simple Harmonic Generation: an Exact Method of Solution ⋮ Linearly Coupled, Slowly Varying Oscillators ⋮ Asymptotic Hamiltonian dynamics: The Toda lattice, the three-wave interaction and the non-holonomic Chaplygin sleigh ⋮ Weakly Nonlinear Dispersive Waves under Parametric Resonance Perturbation ⋮ The Effect of Dissipation on Linearly Coupled, Slowly Varying Oscillators ⋮ Adiabatic Invariance and Passage Through Resonance for Nearly Periodic Hamiltonian Systems ⋮ Resonance in a Weakly Nonlinear System with Slowly Varying Parameters

Cites Work

• On the dynamics of unsteady gravity waves of finite amplitude Part 1. The elementary interactions
• Energy transfer between external and internal gravity waves
• Resonant interactions among capillary-gravity waves
• The Propagation of Nonlinear Wave Envelopes
• The Evolution of Multi‐Phase Modes for Nonlinear Dispersive Waves
• Passage Through Resonance for a One-Dimensional Oscillator with Slowly Varying Frequency
• Non-linear gravity wave interactions

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