Titlebook: Numerical Continuation Methods for Dynamical Systems; Path following and b Bernd Krauskopf,Hinke M. Osinga,Jorge Galán-Vioque Book 2007 Spr

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978-94-007-9702-4Springer Science+Business Media B.V. 2007

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FRONT

Interactive Continuation Tools,d bifurcating branches.We give a brief over view of how such a frame work is implemented in the recent software environment MATCONT. In the final two sections we give a few examples that illustrate the use of MATCONT and indicate directions of future developments.

Spinal-Fusion

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Global Bifurcation Analysis in Laser Systems, response of semiconductor lasers for faster Internet connections [57].Furthermore, nonlinear analysis of laser systems stimulated and helped to validate the feasibility of novel, chaos-based applications including secure communication schemes [4, 50], chaotic radars [34], and instability-based laser sensors [56].

考博

Phase Conditions, Symmetries and PDE Continuation,rticular applications of phase conditions to periodic, heteroclinic and homoclinic orbits in ODEs, to relative equilibria and relative periodic orbits in PDEs, as well as to time integration of equivariant PDEs.

通知

Periodic Orbit Continuation in Multiple Time Scale Systems,problems with multiple time scales. This inconvenience prompts the search for alternative methods for computing such periodic orbits; we introduce here new multiple-shooting algorithms based on geometric singular perturbation theory.

EXULT

Numerical Computation of Coherent Structures,different kinds of coherent structures, namely traveling waves, time-periodic structures, and planar localized patterns. In each case we explain how to set up a well-posed boundary value problem and illustrate the theory with the results of an example computation.