Computing One-Dimensional Global Manifolds of Poincaré Maps by Continuation

DOI10.1137/05062408XzbMath1090.37055OpenAlexW2119779417WikidataQ114476404 ScholiaQ114476404MaRDI QIDQ5470858

Hinke M. Osinga, Bernd Krauskopf, J. P. England

Publication date: 1 June 2006

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

Full work available at URL: https://doi.org/10.1137/05062408x

zbMATH Keywords

periodic orbitsboundary value problemmapstable and unstable manifoldsslow-fast systemsPoincarésemiconductor laserchemical oscillatorVan der Pol oscillatorperiodically forced systemcollocation routines

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Forced motions for nonlinear problems in mechanics (70K40) Stability and convergence of numerical methods for ordinary differential equations (65L20) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Lasers, masers, optical bistability, nonlinear optics (78A60) Periodic orbits of vector fields and flows (37C27) Invariant manifold theory for dynamical systems (37D10) Dynamical systems in classical and celestial mechanics (37N05) Computational methods for bifurcation problems in dynamical systems (37M20) Systems with slow and fast motions for nonlinear problems in mechanics (70K70)

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