Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
978018 | Physica A: Statistical Mechanics and its Applications | 2008 | 7 Pages |
Abstract
In this work, we investigate the relations among the Unstable Dimension Variability (UDV) and phase space dimensions in a coupled map lattice with diffusive coupling. Studying a simple system with UDV at low dimensions, we give theoretical support and numerical evidence to the statement that, from some fixed dimensional value onwards, there is no UDV. More precisely, we construct a high dimensional non-hyperbolic system without UDV.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Marcelo M. Disconzi, Leonardo G. Brunnet,