Energy Bounds for the Slow Capture by a Center in Sustained Resonance

DOI10.1137/0143016zbMath0519.34043OpenAlexW1977530569MaRDI QIDQ3669798

Richard Haberman

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1137/0143016

zbMATH Keywords

separatrixslowly varying coefficientssustained resonancecapture by a centerreentry resonanceroll resonance

Mathematics Subject Classification ID

Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Nonlinear dynamics in mechanics (70K99) Singular perturbations for ordinary differential equations (34E15) Nonlinear resonances for nonlinear problems in mechanics (70K30) Dynamical systems and ergodic theory (37-XX)

Related Items (5)

Slowly Varying Phase Planes and Boundary-Layer Theory ⋮ Resonant dynamics in strongly nonlinear systems ⋮ Connection across a Separatrix with Dissipation ⋮ On the Asymptotic Solution of Non‐Hamiltonian Systems Exhibiting Sustained Resonance ⋮ Resonance trapping in dissipative and antidissipative systems: an ergodic approach

This page was built for publication: Energy Bounds for the Slow Capture by a Center in Sustained Resonance