- 09-124 Renato Calleja, Alessandra Celletti
- Breakdown of invariant attractors for the dissipative standard map
Jul 29, 09
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Abstract. We implement different methods for the computation of the
breakdown threshold of invariant attractors in the dissipative
standard mapping. A first approach is based on the computation of the
Sobolev norms of the function parameterizing the solution.
Then we look for the approximating periodic
orbits and we analyze their stability in order to compute the critical
threshold at which an invariant attractor breaks down. We also
determine the domain of convergence of the dissipative standard mapping by
extending the computations to the complex parameter space as well as by
investigating a two--frequency model.