Home

About

Advanced Search

Browse by Discipline

Scientific Societies

E-print Alerts

Add E-prints

E-print Network
FAQHELPSITE MAPCONTACT US


  Advanced Search  

 
Soliton as Strange Attractor: Nonlinear Synchronization and Chaos J. M. Soto-Crespo1
 

Summary: Soliton as Strange Attractor: Nonlinear Synchronization and Chaos
J. M. Soto-Crespo1
and Nail Akhmediev2
1
Instituto de OŽ ptica, C.S.I.C., Serrano 121, 28006 Madrid, Spain
2
Optical Sciences Group, Research School of Physical Sciences and Engineering, The Australian National University,
Canberra ACT 0200, Australia
(Received 7 March 2005; published 8 July 2005)
We show that dissipative solitons can have dynamics similar to that of a strange attractor in low-
dimensional systems. Using a model of a passively mode-locked fiber laser as an example, we show that
soliton pulsations with periods equal to several round-trips of the cavity can be chaotic, even though they
are synchronized with the round-trip time. The chaotic part of this motion is quantified using a two-
dimensional map and estimating the Lyapunov exponent. We found a specific route to chaotic motion that
occurs through the creation, increase, and overlap of ``islands'' of chaos rather than through multiplication
of frequencies.
DOI: 10.1103/PhysRevLett.95.024101 PACS numbers: 05.45.Yv, 05.45.Xt, 42.55.Wd
Solitons are usually considered to be stable self-
localized objects that do not show any chaotic behavior.
This is true for solitons in integrable systems, but is cer-

  

Source: Akhmediev, Nail - Research School of Physical Sciences and Engineering, Australian National University
Australian National University, Research School of Physical Sciences and Engineering, Optical Sciences Group

 

Collections: Engineering; Physics