Titlebook: Dynamical Phase Transitions in Chaotic Systems; Edson Denis Leonel Book 2023 Higher Education Press Limited Company 2023 Scaling laws in n

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Suppression of Fermi Acceleration in Oval Billiard,s of the particles with the boundary of the billiard. Two scaling laws emerge from a set of three scaling hypotheses. A scaling invariance is observed, giving pieces of evidence of a phase transition in the system.

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A Hamiltonian and a Mapping,choices made with the functions lead to describing different systems. Imposing the determinant of the Jacobian matrix equal to unity leads to area preservation. Chaotic diffusion is considered via different techniques leading to a scaling invariance.

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