Hansen, Matheus [UNESP]Costa, Diogo R. da [UNESP]Oliveira, Diego F. M. [UNESP]Leonel, Edson D. [UNESP]2014-12-032014-12-032014-07-01Applied Mathematics And Computation. New York: Elsevier Science Inc, v. 238, p. 387-392, 2014.0096-3003http://hdl.handle.net/11449/113130Some statistical and dynamical properties for the problem of relativistic charged particles in a wave packet are studied. We show that the introduction of dissipation change the structure of the phase space and attractors appear. Additionally, by changing at least one of the control parameters, the unstable manifold touches the stable manifold of the same saddle fixed point and a boundary crisis occurs. We show that the chaotic attractor is destroyed given place to a transient which follows a power law with exponent -1 when varying the control parameters near the criticalities. On the other hand, by changing at least two control parameters and by using the Lyapunov exponents to classify orbits with chaotic and periodic behaviour, we show the existence of infinite shrimp-shaped domains, which correspond to the periodic attractors, embedded in a region with chaotic behaviour. Finally, we show the first indication of a shrimp in a three dimension parameter space. (C) 2014 Elsevier Inc. All rights reserved.387-392engChaosDissipative mappingComplex systemArtigo10.1016/j.amc.2014.03.114WOS:000336522400033Acesso restrito6130644232718610