Coexistent attractors and new periodic cycles in a bistable ring cavity

J. V. Moloney

doi:10.1016/0030-4018(84)90040-3

Coexistent attractors and new periodic cycles in a bistable ring cavity

J. V. Moloney

Research output: Contribution to journal › Article › peer-review

12 Scopus citations

Abstract

Two distinct period doubling routes to chaos on the low transmission branch of a bistable ring cavity are identified with bifurcations from stable solutions in different regions of parameter space. New periodic cycles, which cannot be predicted by conventional linear stability analysis, can abruptly appear via a tangent bifurcation and undergo a period doubling cascade over a limited parameter range before disappearing.

Original language	English (US)
Pages (from-to)	435-438
Number of pages	4
Journal	Optics Communications
Volume	48
Issue number	6
DOIs	https://doi.org/10.1016/0030-4018(84)90040-3
State	Published - Jan 15 1984

ASJC Scopus subject areas

Electronic, Optical and Magnetic Materials
Atomic and Molecular Physics, and Optics
Physical and Theoretical Chemistry
Electrical and Electronic Engineering

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10.1016/0030-4018(84)90040-3

Cite this

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title = "Coexistent attractors and new periodic cycles in a bistable ring cavity",

abstract = "Two distinct period doubling routes to chaos on the low transmission branch of a bistable ring cavity are identified with bifurcations from stable solutions in different regions of parameter space. New periodic cycles, which cannot be predicted by conventional linear stability analysis, can abruptly appear via a tangent bifurcation and undergo a period doubling cascade over a limited parameter range before disappearing.",

author = "Moloney, \{J. V.\}",

note = "Funding Information: The author acknowledgesu seful discussionsw ith Fred Hopf, Hyatt Gibbs and Chris Jones, and support from the U.S. Air Force Office of Scientific Research and the U.S. Army ResearchO ffice.",

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T1 - Coexistent attractors and new periodic cycles in a bistable ring cavity

AU - Moloney, J. V.

N1 - Funding Information: The author acknowledgesu seful discussionsw ith Fred Hopf, Hyatt Gibbs and Chris Jones, and support from the U.S. Air Force Office of Scientific Research and the U.S. Army ResearchO ffice.

PY - 1984/1/15

Y1 - 1984/1/15

N2 - Two distinct period doubling routes to chaos on the low transmission branch of a bistable ring cavity are identified with bifurcations from stable solutions in different regions of parameter space. New periodic cycles, which cannot be predicted by conventional linear stability analysis, can abruptly appear via a tangent bifurcation and undergo a period doubling cascade over a limited parameter range before disappearing.

AB - Two distinct period doubling routes to chaos on the low transmission branch of a bistable ring cavity are identified with bifurcations from stable solutions in different regions of parameter space. New periodic cycles, which cannot be predicted by conventional linear stability analysis, can abruptly appear via a tangent bifurcation and undergo a period doubling cascade over a limited parameter range before disappearing.

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SP - 435

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JO - Optics Communications

JF - Optics Communications

IS - 6

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Coexistent attractors and new periodic cycles in a bistable ring cavity

Abstract

ASJC Scopus subject areas

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