TY - JOUR
T1 - Soliton as strange attractor
T2 - Nonlinear synchronization and chaos
AU - Soto-Crespo, J. M.
AU - Akhmediev, Nail
PY - 2005/7/8
Y1 - 2005/7/8
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=27144451945&partnerID=8YFLogxK
U2 - 10.1103/PhysRevLett.95.024101
DO - 10.1103/PhysRevLett.95.024101
M3 - Article
SN - 0031-9007
VL - 95
JO - Physical Review Letters
JF - Physical Review Letters
IS - 2
M1 - 024101
ER -