Resonance phenomena in a harmonic oscillator driven by the chaotic force

Toshihiro Shimizu

Physica A: Statistical Mechanics and its Applications, 1996, vol. 234, issue 1, 371-385

Abstract: The coherent nature of chaos is investigated in a simple harmonic oscillator driven by the chaotic force. The resonance phenomena between a harmonic oscillator and a chaotic oscillator are discussed in two cases: (a) the bifurcation parameter of the chaotic force is modulated by the amplitude of the harmonic oscillator and (b) the eigenfrequency of the harmonic oscillator is also modulated by the chaotic force in addition to (a). As a model of neural network, a system of many Brownian particles interacting via the chaotic force is proposed. The controlling of chaos is also discussed.

Date: 1996
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378437196002580
Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:234:y:1996:i:1:p:371-385

DOI: 10.1016/S0378-4371(96)00258-0

Access Statistics for this article

Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

More articles in Physica A: Statistical Mechanics and its Applications from Elsevier
Bibliographic data for series maintained by Catherine Liu ().