Summary
International Symposium on Nonlinear Theory and its Applications
2009
Session Number:B3L-D
Session:
Number:B3L-D3
A Spectral Reconstitution Method of Potential Function in Dynamical System
Masataka MINAMI, Takashi HIKIHARA,
pp.-
Publication Date:2009/10/18
Online ISSN:2188-5079
Summary:
Phase structure of dynamical system governs their trajectories, which depend on the initial condition. Accordingly, the power spectra of trajectories include the structural information of the phase space of the nonlinear system. In this paper, the potential function of a low-dimensional nonlinear system is estimated through the power spectra of the trajectories from the given initial conditions. It is clarified that a method has a potential to reconstitute the potential function in the dynamical system.