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The numerical computation of connecting orbits in dynamical systems. (English) Zbl 0706.65080
Structural changes in dynamical systems are often related to the appearance or disappearance of orbits connecting two stationary points. A direct numerical method for the computation of connecting orbits and their associated parameter values is developed. The author employs a general phase condition and truncates the boundary-value problem to a finite interval by using on both ends the technique of asymptotic boundary conditions. The approximation error caused by this truncation is shown to decay exponentially.
Reviewer: E.Eitelberg

MSC:
65L10 Numerical solution of boundary value problems involving ordinary differential equations
37-XX Dynamical systems and ergodic theory
Software:
AUTO; PASVA3
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