Titlebook: Recent Trends in Dynamical Systems; Proceedings of a Con Andreas Johann,Hans-Peter Kruse,Stephan Schmitz Conference proceedings 2013 Spring

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ANNUL

Andreas Johann,Hans-Peter Kruse,Stephan SchmitzIncludes supplementary material:

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pus840

https://doi.org/10.1007/978-3-0348-0451-6Dynamical Systems; Fluid mechanics; Invariant manifolds

adroit

macular-edema

含水層

Branches of Periodic Orbits in Reversible Systemsvey we describe how these branches of periodic orbits originate from equilibria, terminate at homoclinic orbits, and branch from each other in period-doubling bifurcations or higher order subharmonic bifurcations. Adding external parameters allows to study degenerate cases and the transition from degenerate to non-degenerate situations.

CANT

Canard Explosion and Position Curves mechanism. We introduce the notion of position curve and study the typical shape of a position curve. We also study catastrophes of limit cycles, obtaining results in .-uniform neighbourhoods, both in phase space and in parameter space.

WATER

Deformation of Geometry and Bifurcations of Vortex Ringson surfaces parametrized by the curvature of the surface. Equivariant bifurcations in this family are characterized, whence the stability of the Thomson heptagon is deduced without recourse to the Birkhoff normal form, which has hitherto been a necessary tool.

encyclopedia

Recent Trends in Dynamical Systems978-3-0348-0451-6Series ISSN 2194-1009 Series E-ISSN 2194-1017