| Full text | |
| Author(s): |
Total Authors: 3
|
| Affiliation: | [1] Univ Estadual Paulista, Dept Fis, Unesp Ave 24A, 1515, Rio Claro, SP - Brazil
[2] Univ Estadual Paulista UNESP, Campus Sao Joao da Boa Vista, Sao Joao Da Boa Vista, SP - Brazil
Total Affiliations: 2
|
| Document type: | Journal article |
| Source: | EPL; v. 131, n. 2 JUL 2020. |
| Web of Science Citations: | 0 |
| Abstract | |
Some characteristics of scaling invariance are discussed for a transition from integrability to non-integrability in a class of dynamical systems described by a two-dimensional, nonlinear and area-preserving mapping. The dynamical variables are action I and angle and that the angle diverges in the limit of vanishingly action. The transition is controlled by a parameter epsilon closely related to the order parameter. A scaling invariance observed for the average squared action along the chaotic sea gives evidence that the transition observed from integrability to non-integrability is equivalent to a second-order, also called continuous, phase transition since when the order parameter approaches zero at the same time the response of the order parameter to the conjugate field (susceptibility) diverges. This investigation allows application to a wide class of systems and transitions, including transition from limited to unlimited chaotic diffusion in dissipative systems and also in a transition from limited to unlimited Fermi acceleration in time-dependent billiard systems. (AU) | |
| FAPESP's process: | 19/14038-6 - Investigation of dynamical properties in nonlinear systems |
| Grantee: | Edson Denis Leonel |
| Support Opportunities: | Regular Research Grants |
| FAPESP's process: | 18/14685-9 - Transport properties and bifurcation analysis in nonlinear dynamical systems |
| Grantee: | Juliano Antonio de Oliveira |
| Support Opportunities: | Regular Research Grants |