Blowout bifurcation in a system of coupled chaotic lasers
Ashwin, Peter, Terry, John R., Thornburg, K. Scott and Roy, Rajarshi (1998) Blowout bifurcation in a system of coupled chaotic lasers Physical Review E, 58.
We show that loss of synchronization of two identical coupled chaotic class B lasers can occur via a blowout bifurcation. This occurs when a transverse Lyapunov exponent governing the stability of a synchronized subspace passes through zero. A system of two laterally coupled lasers with modulated parameters is investigated numerically in a region of chaotic behavior. A total of five invariant subspaces are shown to exist. Evidence of a blowout from one of these subspaces is found in Lyapunov exponents and in the presence of on-off intermittency for small enough coupling strengths. At all parameter values investigated, the phases of the electric fields are shown to be precisely synchronized even though the amplitudes may fluctuate chaotically and independently. We discuss the implication that there will be bubbling effects in laser systems in the presence of noise and imperfections.
|Divisions :||Faculty of Engineering and Physical Sciences > Mathematics|
|Date :||1 December 1998|
|Additional Information :||Published in Physical Review E, 58, 7186–7189. © 1998 The American Physical Society.|
|Depositing User :||Mr Adam Field|
|Date Deposited :||27 May 2010 14:40|
|Last Modified :||23 Sep 2013 18:32|
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