Passage Through Resonance for a One-Dimensional Oscillator with Slowly Varying Frequency

DOI10.1137/0120039zbMath0222.34041OpenAlexW1995632704MaRDI QIDQ5627077

No author found.

Publication date: 1971

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0120039

Mathematics Subject Classification ID

Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Singular perturbations, turning point theory, WKB methods for ordinary differential equations (34E20) Asymptotic expansions of solutions to ordinary differential equations (34E05) Nonlinear resonances for nonlinear problems in mechanics (70K30)

Related Items

Stationary phase theory and passage through resonance, Wall imperfections as a triggering mechanism for Stokes-layer transition, Asymptotic Analysis of Forced Nonlinear Sturm-Liouville Systems, On Wave Interactions, I: Explosive Resonant Triads, Semi‐Resonant Interactions and Frequency Dividers, On the asymptotic solutions for a class of second order differential equations with slowly varying coefficients, Evaluation of closure strategies for a periodically-forced Duffing oscillator with slowly modulated frequency subject to Gaussian white noise, Boundary-layer receptivity due to distributed surface imperfections of a deterministic or random nature, An asymptotic solution to a problem involving two simultaneous small divisors, The Passage of Weakly Coupled Nonlinear Oscillators through Internal Resonance, Two-timing for forced oscillation equations, Nonlinear Transition Layers-The Second Painleve Transcendent, Diagrammatic theory of transition of pendulum like systems, Linearly Coupled, Slowly Varying Oscillators, Resonance layers in the interactions of rapidly oscillating wave fields, Adiabatic Invariance and Passage Through Resonance for Nearly Periodic Hamiltonian Systems, Resonance in a Weakly Nonlinear System with Slowly Varying Parameters