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Numerical Continuation Methods for Dynamical Systems
ISBN-13:
9781402063565
Veröffentl:
2007
Seiten:
399
Autor:
Bernd Krauskopf
Serie:
Understanding Complex Systems
eBook Typ:
PDF
eBook Format:
EPUB
Kopierschutz:
1 - PDF Watermark
Sprache:
Englisch
Beschreibung:
Path following in combination with boundary value problem solvers has emerged as a continuing and strong influence in the development of dynamical systems theory and its application. It is widely acknowledged that the software package AUTO - developed by Eusebius J. Doedel about thirty years ago and further expanded and developed ever since - plays a central role in the brief history of numerical continuation.
"Path following in combination with boundary value problem solvers has emerged as a continuing and strong influence in the development of dynamical systems theory and its application. It is widely acknowledged that the software package AUTO - developed by Eusebius J. Doedel about thirty years ago and further expanded and developed ever since - plays a central role in the brief history of numerical continuation.
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.
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