Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4630093 | Applied Mathematics and Computation | 2012 | 5 Pages |
Abstract
In this paper we propose a numerical method to characterize hyperchaotic points in the parameter-space of continuous-time dynamical systems. The method considers the second largest Lyapunov exponent value as a measure of hyperchaotic motion, to construct two-dimensional parameter-space color plots. Different levels of hyperchaos in these plots are represented by a continuously changing yellow–red scale. As an example, a particular system modeled by a set of four nonlinear autonomous first-order ordinary differential equations is considered. Practical applications of these plots include, by instance, walking in the parameter-space of hyperchaotic systems along desirable paths.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Marcos J. Correia, Paulo C. Rech,