Dynamical properties in the discontinuous standard mapping
Bárbara Pinto Carneiro1; Edson Denis Leonel1; Juliano Antonio de Oliveira2
1 Universidade Estadual Paulista (UNESP) - Campus Rio Claro; 2 Universidade Estadual Paulista (UNESP) - Campus São João da Boa Vista
Resumo
The dissipative discontinuous standard mapping described in the action and angle variables is considered. De ned the model, we build the phase space and chaotic attractors are observed. To characterize the chaotic attractors we have used the Lyapunov exponents. The root mean square of the action variable along of chaotic orbits is investigated. We observe that the behaviour of the root mean square diffuses unlimitedly according power law. The approach used is general and can be used in several many other systems.
Palavras-chave: Discontinuous standard mapping; dissipation; chaotic attractors; root mean square