Controlling chaos in a Lorenz-like system using feedback

Kociuba, G. and Heckenberg, N. R. (2003) Controlling chaos in a Lorenz-like system using feedback. Physical Review E (Statistical, Nonlinear, and Soft Matter Physics), 68 6: 662121-662128. doi:10.1103/PhysRevE.68.066212

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Author Kociuba, G.
Heckenberg, N. R.
Title Controlling chaos in a Lorenz-like system using feedback
Journal name Physical Review E (Statistical, Nonlinear, and Soft Matter Physics)   Check publisher's open access policy
ISSN 1050-2947
1094-1622
Publication date 2003-12
Sub-type Article (original research)
DOI 10.1103/PhysRevE.68.066212
Open Access Status File (Publisher version)
Volume 68
Issue 6
Start page 662121
End page 662128
Total pages 8
Place of publication New York
Publisher American Physical Society
Language eng
Abstract We demonstrate that the dynamics of an autonomous chaotic laser can be controlled to a periodic or steady state under self-synchronization. In general, past the chaos threshold the dependence of the laser output on feedback applied to the pump is submerged in the Lorenz-like chaotic pulsation. However there exist specific feedback delays that stabilize the chaos to periodic behavior or even steady state. The range of control depends critically on the feedback delay time and amplitude. Our experimental results are compared with the complex Lorenz equations which show good agreement.
Keyword Physics, Fluids & Plasmas
Physics, Mathematical
Unstable Periodic-orbits
Laser
Dynamics
Q-Index Code C1
Q-Index Status Provisional Code
Institutional Status Unknown
Additional Notes online journal

Document type: Journal Article
Sub-type: Article (original research)
Collections: Excellence in Research Australia (ERA) - Collection
School of Physical Sciences Publications
 
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Citation counts: TR Web of Science Citation Count  Cited 7 times in Thomson Reuters Web of Science Article | Citations
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Created: Mon, 13 Aug 2007, 14:04:53 EST