Indicators of Chaos

IR Web Site

Search this article

Description

Chaotic phenomena are getting interest in all spheres of knowledge. In the past there were certain tools to identify regular and chaotic motions in dynamical systems such as time series curves, phase plots, Poincare maps, power spectra, Lyapunov Exponents etc. These indicators, though very powerful, are not sufficient to differentiate regular and chaotic motion when the system bears higher degrees of freedom. Recent developments in nonlinear dynamics, provide some new tools like Fast Lyapunov Indicators (FLI), Smaller Alignment Indices (SALI), Dynamic Lyapunov Indicators, 0 - 1 test etc. to overcome this problem. These new tools are discovered and explained by various researchers. In the present article these new tools have been discussed and their applications have been shown with satisfactory answers. Burger's map, Chirikov map and Bouncing ball dynamics model are brought in this cotext. Results obtained are quite satisfactory and significant.

Journal

Keywords

Details 詳細情報について

Report a problem

Back to top