| Full text | |
| Author(s): |
Total Authors: 2
|
| Affiliation: | [1] Univ Sao Paulo, Inst Math & Stat, Sao Paulo - Brazil
[2] Univ Sao Paulo, Inst Phys, Sao Paulo - Brazil
Total Affiliations: 2
|
| Document type: | Journal article |
| Source: | CHAOS SOLITONS & FRACTALS; v. 150, SEP 2021. |
| Web of Science Citations: | 0 |
| Abstract | |
Periodic orbits are fundamental to nonlinear systems. We investigate periodic orbits for a dissipative mapping, derived from a prototype model of a non-linear driven oscillator with fast relaxation and a limit cycle. We show numerically the exponential growth of periodic orbits quantity and provide an analytical bound for such growth rate, by making use of the transition matrix associated with a given periodic or-bit. Furthermore, we give numerical evidence to support that optimal orbits, those that maximize time averages, are often unstable periodic orbits with low period, by numerically comparing their performance under a family of sinusoidal functions. (C) 2021 Elsevier Ltd. All rights reserved. (AU) | |
| FAPESP's process: | 18/03211-6 - Non linear dynamics |
| Grantee: | Iberê Luiz Caldas |
| Support Opportunities: | Research Projects - Thematic Grants |