Autor(es)

Mendez-Bermudez, J. A. ; Aguilar-Sanchez, R. ; Sigarreta, Jose M. ; Leonel, Edson D.

• Tipo de documento: Artigo Científico
• Fonte: PHYSICAL REVIEW E; v. 109, n. 3, p. 4-pg., 2024-03-29.

Resumo

The Riemann-Liouville fractional standard map (RL-fSM) is a two-dimensional nonlinear map with memory given in action-angle variables (I, theta). The RL-fSM is parameterized by K and alpha is an element of (1, 2], which control the strength of nonlinearity and the fractional order of the Riemann-Liouville derivative, respectively. In this work we present a scaling study of the average squared action (I-2) of the RL-fSM along strongly chaotic orbits, i.e., for K >> 1. We observe two scenarios depending on the initial action I-0, I-0 << K or I-0 >> K. However, we can show that (I-2)/I-0(2) is a universal function of the scaled discrete time nK(2)/I-0(2) (n being the nth iteration of the RL-fSM). In addition, we note that (I-2) is independent of alpha for K >> 1. Analytical estimations support our numerical results. (AU)

• Processo FAPESP: 19/14038-6 - Investigação de propriedades dinâmicas em sistemas não lineares
• Beneficiário: Edson Denis Leonel
• Modalidade de apoio: Auxílio à Pesquisa - Regular