| Full text | |
| Author(s): |
Borin, Daniel
;
Szezech Jr, Jose Danilo
;
Sales, Matheus Rolim
Total Authors: 3
|
| Document type: | Journal article |
| Source: | CHAOS SOLITONS & FRACTALS; v. 200, p. 12-pg., 2025-09-11. |
| Abstract | |
A particularly intriguing and unique feature of fractional dynamical systems is the cascade of bifurcations type trajectories (CBTT). We examine the CBTTs in a generalized version of the standard map that incorporates the Riemann-Liouville fractional derivative, known as the Riemann-Liouville Fractional Standard Map (RLFSM). We propose a methodology that uses two quantifiers based solely on the system's time series: the Hurst exponent and the recurrence time entropy, for characterizing such dynamics. This approach allows us to effectively characterize the dynamics of the RLFSM, including regions of CBTT and chaotic behavior. Our analysis demonstrates that regions of CBTT are associated with trajectories that exhibit lower values of these quantifiers compared to strong chaotic regions, indicating weakly chaotic dynamics during the CBTTs. (AU) | |
| FAPESP's process: | 22/03612-6 - Transport of particles in chaotic seas |
| Grantee: | Daniel Borin |
| Support Opportunities: | Scholarships in Brazil - Doctorate |
| FAPESP's process: | 23/08698-9 - Transport processes in Hamiltonian systems |
| Grantee: | Matheus Rolim Sales |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |
| FAPESP's process: | 24/09208-8 - Mechanism of transport in Hamiltonian systems |
| Grantee: | Matheus Rolim Sales |
| Support Opportunities: | Scholarships abroad - Research Internship - Post-doctor |
| FAPESP's process: | 24/14825-6 - Characterization and Identification of Transport Barriers in Dynamic Systems |
| Grantee: | Iberê Luiz Caldas |
| Support Opportunities: | Research Grants - Visiting Researcher Grant - Brazil |
| FAPESP's process: | 24/06749-8 - Description of billiards transport properties through Tsallis statistics |
| Grantee: | Daniel Borin |
| Support Opportunities: | Scholarships abroad - Research Internship - Doctorate |