Reconstitution of Potential Function by Power Spectra of Trajectories in Nonlinear Dynamical Systems

Masataka MINAMI  Takashi HIKIHARA  

Publication
IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences   Vol.E95-A   No.2   pp.613-616
Publication Date: 2012/02/01
Online ISSN: 1745-1337
DOI: 10.1587/transfun.E95.A.613
Print ISSN: 0916-8508
Type of Manuscript: LETTER
Category: Nonlinear Problems
Keyword: 
power spectra,  potential function,  reconstitution,  nonlinear dynamical systems,  

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Summary: 
Phase structure of nonlinear dynamical system is governed by the vector field and decides the trajectories. Accordingly, the power spectra of trajectories include the structural field effect on the phase space. In this paper, we develop a method for analyzing phase structure using power spectra of trajectories and reconstitute a potential function in the system.