Basin Entropy and Shearless Barrier Breakup in Open Non-Twist Hamiltonian Systems
Leonardo C. Souza,
Amanda C. Mathias,
Pedro Haerter
et al.
Abstract:We consider open non-twist Hamiltonian systems represented by an area-preserving two-dimensional map describing incompressible planar flows in the reference frame of a propagating wave, and possessing exits through which map orbits can escape. The corresponding escape basins have a fractal nature that can be revealed by the so-called basin entropy, a novel concept developed to quantify final-state uncertainty in dynamical systems. Since the map considered violates locally the twist condition, there is a shearl… Show more
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