Convergence estimates for the numerical approximation of homoclinic solutions

Björn Sandstede
This article is concerned with the numerical computation of homoclinic solutions converging to a hyperbolic or semi-hyperbolic equilibrium of a system u̇ = ƒ (u, μ). The approximation is done by replacing the original problem by a boundary value problem on a finite interval and introducing an additional phase condition to make the solution unique. Numerical experiments have indicated that the parameter μ is much better approximated than the homoclinic solution. This was proved in...
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