Numerical Analysis of equivariant evolution equations
10-025 Joseph Paez.
Starting Homoclinic Tangencies near 1 : 1 Resonances
We construct a theory-based numerical
method for starting the continuation of homoclinic tangencies near 1 :
1 resonances, for systems with arbitrary dimension ≥ 2. The core
of the method is numerical center manifold reduction and flow
approximation. The reduction is implemented by means of the
homological equation. The starting procedure is applied in numerical
examples.
