Méndez-Bermúdez, J. A.De Oliveira, Juliano A. [UNESP]Aguilar-Sánchez, R.Leonel, Edson D. [UNESP]2018-12-112018-12-112015-07-21Physica A: Statistical Mechanics and its Applications, v. 436, p. 943-951.0378-4371http://hdl.handle.net/11449/167921Scaling 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.943-951engDiscontinuous functionNonlinear mapScaling lawsArtigo10.1016/j.physa.2015.05.035Acesso aberto2-s2.0-849375967472-s2.0-84937596747.pdf