| Full text | |
| Author(s): |
Leonel, Edson Denis
Total Authors: 1
|
| Document type: | Journal article |
| Source: | Entropy; v. 27, n. 8, p. 19-pg., 2025-08-11. |
| Abstract | |
We explore the concept of scaling invariance in a type of dynamical systems that undergo a transition from regularity to chaos. The systems are described by a two-dimensional, nonlinear mapping that preserves the area in the phase space. The key variables are the action and the angle, as usual from Hamiltonian systems. The transition is influenced by a control parameter giving the form of the order parameter. We observe a scaling invariance in the average squared action within the chaotic region, providing evidence that this change from regularity (integrability) to chaos (non-integrability) is akin to a second-order or continuous phase transition. As the order parameter approaches zero, its response against the variation in the control parameter (susceptibility) becomes increasingly pronounced (indeed diverging), resembling a phase transition. (AU) | |
| FAPESP's process: | 21/09519-5 - Characterization of phase transitions in nonlinear systems |
| Grantee: | Edson Denis Leonel |
| Support Opportunities: | Regular Research Grants |
| FAPESP's process: | 25/10524-4 - Invariância de Escala: Uma Porta de Entrada para Transições de Fase |
| Grantee: | Edson Denis Leonel |
| Support Opportunities: | Regular Research Grants - Publications - Scientific article |
| FAPESP's process: | 19/14038-6 - Investigation of dynamical properties in nonlinear systems |
| Grantee: | Edson Denis Leonel |
| Support Opportunities: | Regular Research Grants |