Calculation of the Lyapunov exponent and the morphological period of time series i...
Transport properties and bifurcation analysis in nonlinear dynamical systems
| Full text | |
| Author(s): |
Viana, R. L.
;
Batista, A. M.
;
Batista, C. A. S.
;
Iarosz, K. C.
Total Authors: 4
|
| Document type: | Journal article |
| Source: | NONLINEAR DYNAMICS; v. 87, n. 3, p. 1589-1601, FEB 2017. |
| Web of Science Citations: | 1 |
| Abstract | |
We investigate analytically and numerically coupled lattices of chaotic maps where the interaction is non-local, i.e., each site is coupled to all the other sites but the interaction strength decreases exponentially with the lattice distance. This kind of coupling models an assembly of pointlike chaotic oscillators in which the coupling is mediated by a rapidly diffusing chemical substance. We consider a case of a lattice of Bernoulli maps, for which the Lyapunov spectrum can be analytically computed and also the completely synchronized state of chaotic Ulam maps, for which we derive analytically the Lyapunov spectrum. (AU) | |
| FAPESP's process: | 16/16148-5 - Synchronous behaviour and synaptic plasticity in complex networks |
| Grantee: | Kelly Cristiane Iarosz |
| Support Opportunities: | Scholarships abroad - Research Internship - Post-doctor |