Scaling properties for a family of discontinuous mappings

J.A. Méndez-Bermúdez, Juliano A. de Oliveira, R. Aguilar-Sánchez and Edson D. Leonel

Physica A: Statistical Mechanics and its Applications, 2015, vol. 436, issue C, 943-951

Abstract: Scaling exponents that describe a transition from integrability to non-integrability in a family of two-dimensional, nonlinear, and discontinuous mappings are obtained. The mapping considered is parameterized by the exponent γ in the action variable. The scaling exponents describing the behavior of the average square action along the chaotic orbits are obtained for different values of γ; therefore classes of universality can be defined. For specific values of γ our mapping acts as the discontinuous-map representation of well-known nonlinear systems, thus making our study broadly applicable. Also, the formalism used is general and the procedure can be extended to characterize many other dynamical systems.

Keywords: Nonlinear map; Discontinuous function; Scaling laws (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:436:y:2015:i:c:p:943-951

DOI: 10.1016/j.physa.2015.05.035

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