Resonant oscillations and fractal basin boundaries of a particle in a φ6 potential

R. Tchoukuegno, B.R. Nana Nbendjo and P. Woafo

Physica A: Statistical Mechanics and its Applications, 2002, vol. 304, issue 3, 362-378

Abstract: This paper considers the dynamics of a periodically forced particle in a φ6 potential. Harmonic, subharmonic and superharmonic oscillatory states are obtained using the multiple time scales method. From the Melnikov theory, we derive the analytical criteria for the occurrence of transverse intersections on the surface of homoclinic and heteroclinic orbits both for the three potential well case and a single potential well case. Our analytical investigations are complemented by the numerical simulations from which we show the fractality of the basins of attraction.

Keywords: Extended Duffing equation; Nonlinear oscillations; Melnikov chaos (search for similar items in EconPapers)
Date: 2002
References: View complete reference list from CitEc
Citations: View citations in EconPapers (2)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378437101005003
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:304:y:2002:i:3:p:362-378

DOI: 10.1016/S0378-4371(01)00500-3

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 ().