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A comparative analysis of Rossler type dynamics and laser systems

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UNSPECIFIED (2002) A comparative analysis of Rossler type dynamics and laser systems. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 12 (3). pp. 495-509. ISSN 0218-1274

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Abstract

We introduce the standard Rossler oscillator and extend it from a system defined on P, 3 to a system defined on R 2 X C. We extend the system in such a way that the simple Rossler type dynamics are preserved, whilst introducing an additional symmetry to the system such that when the oscillators are linearly coupled, there exists an embedding of symmetry forced invariant manifolds. We contrast our results with a previously considered model for a linearly coupled solid-state laser system which possessed a similar embedding of invariant manifolds. We discuss whether the mechanisms for loss of synchronization are system dependent or a more generic property of systems with embedded invariant manifolds.

Item Type: Journal Article
Subjects: Q Science > QA Mathematics
Q Science
Journal or Publication Title: INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
Publisher: WORLD SCIENTIFIC PUBL CO PTE LTD
ISSN: 0218-1274
Date: March 2002
Volume: 12
Number: 3
Number of Pages: 15
Page Range: pp. 495-509
Publication Status: Published
URI: http://wrap.warwick.ac.uk/id/eprint/11035

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