Transport properties and bifurcation analysis in nonlinear dynamical systems
Dynamical and transport properties in conservative and dissipative dynamical systems
| Full text | |
| Author(s): |
Perre, Rodrigo M.
[1]
;
Carneiro, Barbara P.
[2]
;
Mendez-Bermudez, J. A.
[3, 4]
;
Leonel, Edson D.
[2]
;
de Oliveira, Juliano A.
[5, 1, 2]
Total Authors: 5
|
| Affiliation: | [1] Univ Estadual Paulista, UNESP, Campus Sao Joao da Boa Vista, BR-13876750 Sao Joao Da Boa Vista, SP - Brazil
[2] Univ Estadual Paulista, Dept Fis, UNESP, Av-24A, 1515, BR-13506900 Rio Claro, SP - Brazil
[3] Benemerita Univ Autonoma Puebla, Inst Fis, Apartado Postal J-48, Puebla 72570 - Mexico
[4] Univ Sao Paulo, Inst Ciencias Matemat & Comp, Dept Matemat Aplicada & Estat, Campus Sao Carlos, Caixa Postal 668, BR-13560970 Sao Carlos, SP - Brazil
[5] Abdus Salam Int Ctr Theoret Phys, Str Costiera 11, I-34151 Trieste - Italy
Total Affiliations: 5
|
| Document type: | Journal article |
| Source: | CHAOS SOLITONS & FRACTALS; v. 131, FEB 2020. |
| Web of Science Citations: | 0 |
| Abstract | |
Some dynamical properties for a dissipative two-dimensional discontinuous standard mapping are considered. The mapping, in action-angle variables, is parameterized by two control parameters; namely, k >= 0 controlling the intensity of the nonlinearity and gamma is an element of {[}0, 1] representing the dissipation. The case of gamma = 0 recovers the non-dissipative model while any gamma not equal 0 yields to the breaking of area preservation; hence leading to the existence of attractors, including chaotic ones. We show that when starting from a large initial action, the dynamics converges to chaotic attractors through an exponential decay in time, while the speed of the decay depends on the dissipation intensity. We also investigate the positive Lyapunov exponents and describe their behavior as a function of the control parameters. (C) 2019 Elsevier Ltd. All rights reserved. (AU) | |
| 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 |
| FAPESP's process: | 17/14414-2 - Scaling investigation in dynamical systems |
| Grantee: | Edson Denis Leonel |
| Support Opportunities: | Regular Research Grants |
| FAPESP's process: | 19/06931-2 - Random matrix theory approach to complex networks |
| Grantee: | Francisco Aparecido Rodrigues |
| Support Opportunities: | Research Grants - Visiting Researcher Grant - International |
| FAPESP's process: | 14/18672-8 - Effects of dissipation, transient and dynamical properties in discrete mappings |
| Grantee: | Juliano Antonio de Oliveira |
| Support Opportunities: | Regular Research Grants |