Lighting Arnold flames: resonance in doubly forced periodic oscillators

DOI10.1088/0951-7715/15/2/310zbMath1007.34038OpenAlexW2082657197MaRDI QIDQ4533442

Ioannis G. Kevrekidis, Bruce B. Peckham

Publication date: 11 June 2002

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0951-7715/15/2/310

zbMATH Keywords

bifurcationresonancelocal symmetryBrusselatorArnold flamesdoubly forced oscillatorssurfaces circle maps

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Normal forms for dynamical systems (37G05) Dynamical aspects of symmetries, equivariant bifurcation theory (37G40) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30)

Related Items (6)

Dissecting a resonance wedge on heteroclinic bifurcations ⋮ Transition to chaos through period doublings of a forced oscillating cylinder in steady current ⋮ NONLINEAR ANALYSIS OF A NETWORK OF THREE CONTINUOUS STIRRED TANK REACTORS WITH PERIODIC FEED SWITCHING: SYMMETRY AND SYMMETRY-BREAKING ⋮ Torus maps and the problem of a one-dimensional optical resonator with a quasiperiodically moving wall ⋮ Remarks on interacting Neimark–Sacker bifurcations ⋮ A route to computational chaos revisited: Noninvertibility and the breakup of an invariant circle

Uses Software

• Geomview
• AUTO-86

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