High-dimension chaotic attractors of a nonlinear ring cavity

The route to chaos found from the delay-differential rate equations is basically different from the subharmonic cascade which is generic of the adiabatic-following-approximation equation. The Lyapunov dimension of each chaotic attractor is found to increase linearly with the ratio of the delay time...

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Veröffentlicht in:	Physical review letters 1986-01, Vol.56 (4), p.274-277
Hauptverfasser:	LE BERRE, M, RESSAYRE, E, TALLET, A, GIBBS, H. M
Format:	Artikel
Sprache:	eng
Schlagworte:	Applied sciences Exact sciences and technology Fundamental areas of phenomenology (including applications) Nonlinear optics Optics Other techniques and industries Physics
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	The route to chaos found from the delay-differential rate equations is basically different from the subharmonic cascade which is generic of the adiabatic-following-approximation equation. The Lyapunov dimension of each chaotic attractor is found to increase linearly with the ratio of the delay time to the medium lifetime. This clearly shows the invalidity of the difference-equation mapping whose dimension never exceeds 2. (Author)
ISSN:	0031-9007 1079-7114
DOI:	10.1103/PhysRevLett.56.274