| Full text | |
| Author(s): |
Teixeira, Rivania M. N.
[1]
;
Rando, Danilo S.
[2]
;
Geraldo, Felipe C.
[3]
;
Costa Filho, R. N.
[1]
;
de Oliveira, Juliano A.
[2, 3]
;
Leonel, Edson D.
[2]
Total Authors: 6
|
| Affiliation: | [1] Univ Fed Ceara, Dept Fis, Fortaleza, Ceara - Brazil
[2] UNESP Univ Estadual Paulista, Dept Fis, BR-13506900 Rio Claro, SP - Brazil
[3] UNFSP Univ Estadual Paulista, Sao Jose Da Boa Vista, SP - Brazil
Total Affiliations: 3
|
| Document type: | Journal article |
| Source: | Physics Letters A; v. 379, n. 18-19, p. 1246-1250, JUN 26 2015. |
| Web of Science Citations: | 8 |
| Abstract | |
Decay to asymptotic steady state in one-dimensional logistic-like mappings is characterized by considering a phenomenological description supported by numerical simulations and confirmed by a theoretical description. As the control parameter is varied bifurcations in the fixed points appear. We verified at the bifurcation point in both; the transcritical, pitchfork and period-doubling bifurcations, that the decay for the stationary point is characterized via a homogeneous function with three critical exponents depending on the nonlinearity of the mapping. Near the bifurcation the decay to the fixed point is exponential with a relaxation time given by a power law whose slope is independent of the nonlinearity. The formalism is general and can be extended to other dissipative mappings. (C) 2015 Elsevier B.V. All rights reserved. (AU) | |
| FAPESP's process: | 12/23688-5 - Exponents and scaling laws, phase transitions and transport properties of time dependent systems |
| Grantee: | Edson Denis Leonel |
| Support Opportunities: | Regular Research Grants |