Mathematical Biology & Bioinformatics | Volume 12 Issue 2 Year
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Numerical continuation methods for dynamical systems : path following and boundary value problems
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Controlling Delayed Dynamics: Advances in Theory, Methods and Applications
The other chapters by leading experts discuss continuation for various types of systems and objects and showcase examples of how numerical bifurcation analysis can be used in concrete applications. 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.
Three chapters review physical applications: the dynamics of a SQUID, global bifurcations in laser systems, and dynamics and bifurcations in electronic circuits. IntroductionForeword; Herbert B. Higher-Dimensional Continuation; Michael E. Aronson and Hans G.
Related Numerical Continuation Methods for Dynamical Systems: Path Following and Boundary Value Problems
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