NDLI: The analysis of Melnikov process of duffing oscillator in non-Gaussian color noise environment

Content Provider	IEEE Xplore Digital Library
Author	Wensuo Yi Jihong Song
Copyright Year	2011
Description	Author affiliation: Department of Electronic Information Engineering, Changchun University, China (Wensuo Yi; Jihong Song)
Abstract	In this paper, the one DOF Hamiltonian system and complete Duffing equation are studied in details, the methods of random Melnikov process function is introduced. It is found that the non-Gaussian color noise on the chaos character of Duffing oscillator lies on the value of parameters in the model, the non-Gaussian color noise has no effect on system's ultimate dynamic behavior. The tiny change of sin wave swing scope and frequency will induce the chaotic system behavior great differently, so the parameter can be estimated, the numerical results confirm the conclusion that the chaotic oscillator is immune to zero mean square non-Gaussian color noise for sin wave frequency and scope parameter estimate.
Starting Page	306
Ending Page	309
File Size	278745
Page Count	4
File Format	PDF
ISBN	9781424493043
e-ISBN	9781424493067
DOI	10.1109/CISP.2011.6099976
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2011-10-15
Publisher Place	China
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Chaos Presses doffing non-Gaussian color noise Educational institutions Frequency estimation random Melnikov process Colored noise Oscillators
Content Type	Text
Resource Type	Article

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The analysis of Melnikov process of duffing oscillator in non-Gaussian color noise environment