A comparative analysis of Rossler type dynamics and laser systems
UNSPECIFIED. (2002) A comparative analysis of Rossler type dynamics and laser systems. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 12 (3). pp. 495-509. ISSN 0218-1274Full text not available from this repository.
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
|Journal or Publication Title:||INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS|
|Publisher:||WORLD SCIENTIFIC PUBL CO PTE LTD|
|Official Date:||March 2002|
|Number of Pages:||15|
|Page Range:||pp. 495-509|
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