Numerical Continuation Methods for Dynamical Systems

Path following and boundary value problems

AvBernd Krauskopf,Hinke M. Osinga

Inbunden, Engelska, 2007

Del i serien Understanding Complex Systems

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Beskrivning

Topics that are treated include: interactive continuation tools, higher-dimensional continuation, the computation of invariant manifolds, and continuation techniques for slow-fast systems, for symmetric Hamiltonian systems, for spatially extended systems and for systems with delay.

Produktinformation

Utgivningsdatum:2007-07-26
Mått:155 x 235 x 29 mm
Vikt:793 g
Format:Inbunden
Språk:Engelska
Serie:Understanding Complex Systems
Antal sidor:399
Upplaga:2007
Förlag:Springer-Verlag New York Inc.
ISBN:9781402063558

Utforska kategorier

Innehållsförteckning

Lecture Notes on Numerical Analysis of Nonlinear Equations.- Interactive Continuation Tools.- Higher-Dimensional Continuation.- Computing Invariant Manifolds via the Continuation of Orbit Segments.- The Dynamics of SQUIDs and Coupled Pendula.- Global Bifurcation Analysis in Laser Systems.- Numerical Bifurcation Analysis of Electronic Circuits.- Periodic Orbit Continuation in Multiple Time Scale Systems.- Continuation of Periodic Orbits in Symmetric Hamiltonian Systems.- Phase Conditions, Symmetries and PDE Continuation.- Numerical Computation of Coherent Structures.- Continuation and Bifurcation Analysis of Delay Differential Equations.