Display Abstract

Title Towards a symbolic quest into homoclinic chaos

Name Roberto Barrio
Country Spain
Email rbarrio@unizar.es
Co-Author(s) Tingli Xing and Andrey Shilnikov
Submit Time 2014-02-26 08:49:06
Special Session 111: Computational dynamics in Hamiltonian and dissipative systems
In this talk we explore multi-fractal, self-similar structures of heteroclinic and homoclinic bifurcations of saddle singularities in the parameter space of a generic Z2-symmetric system. A computational technique based on the symbolic description utilizing kneading invariants is proposed for explorations of parametric chaos in systems with the Lorenz attractor. The technique allows for uncovering the stunning complexity and universality of the patterns discovered in the bi-parametric scans of the given models and detects their organizing centers -- codimension-two T-points and separating saddles in the exemplary system: the Shimizu-Morioka model