The calculation of resonance separatrices for the near-integrable case of the standard mapping

DOI10.1007/BF00945123zbMath0668.70029OpenAlexW2244415795MaRDI QIDQ1118433

Michael P. Mortell, Brian R. Seymour

Publication date: 1988

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00945123

zbMATH Keywords

fixed pointsperturbation expansionseparatricesstandard mappingnonlinear resonant acoustic oscillations in a closed tube

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Nonlinear resonances for nonlinear problems in mechanics (70K30)

Related Items (1)

Finite-Amplitude, Shockless, Resonant Vibrations of an Inhomogeneous Elastic Panel

Cites Work

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• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Converse KAM: theory and practice
• Subharmonic non-linear acoustic resonances in closed tubes
• Regular and stochastic motion
• A finite-rate theory of quadratic resonance in a closed tube
• Nonlinear forced oscillations in a closed tube: continuous solutions of a functional equation
• A finite-rate theory of resonance in a closed tube: discontinuous solutions of a functional equation
• Discontinuous Solutions of a Measure-Preserving Mapping
• Second Order Hyperbolic Equations with Small Nonlinearities
• Resonant acoustic oscillations with damping: small rate theory
• Resonant oscillations in closed tubes
• Finite amplitude waves in bounded media: nonlinear free vibrations of an elastic panel

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