Superpersistent Chaotic Transients

2010 ◽  
pp. 131-152 ◽  
Author(s):  
Ying-Cheng Lai
Keyword(s):  
Chaotic Transients

Fractal Basin Boundaries, Long-Lived Chaotic Transients, And Unstable-Unstable Pair Bifurcation

1983 ◽  
Vol 51 (10) ◽  
pp. 942-942 ◽  
Author(s):  
Celso Grebogi ◽  
Edward Ott ◽  
James A. Yorke
Keyword(s):  
Fractal Basin Boundaries ◽  
Chaotic Transients ◽  
Basin Boundaries

Average lifetime and geometric properties for superlong chaotic transients in a hybrid optical bistable system

1996 ◽  
Vol 54 (1) ◽  
pp. 371-375 ◽  
Author(s):  
Hua-Wei Yin ◽  
Jian-Hua Dai ◽  
Hong-Jun Zhang
Keyword(s):  
Bistable System ◽  
Average Lifetime ◽  
Geometric Properties ◽  
Chaotic Transients

Spatial distribution of chaotic transients in unidirectional synchronisation

1999 ◽  
Vol 257 (3-4) ◽  
pp. 175-181 ◽  
Author(s):  
Giovanni Santoboni ◽  
Alberto Varone ◽  
Steven R. Bishop
Keyword(s):  
Spatial Distribution ◽  
Chaotic Transients

Influence of noise on the mean lifetime of chaotic transients

1991 ◽  
Vol 44 (6) ◽  
pp. 4065-4067 ◽  
Author(s):  
Marek Franaszek
Keyword(s):  
Mean Lifetime ◽  
The Mean ◽  
Chaotic Transients ◽  
Influence Of Noise

TRACKING SUSTAINED CHAOS

2000 ◽  
Vol 10 (03) ◽  
pp. 571-578 ◽  
Author(s):  
IRA B. SCHWARTZ ◽  
IOANA TRIANDAF
Keyword(s):  
Dynamical Systems ◽  
Simple Method ◽  
Periodically Driven ◽  
Unstable Solutions ◽  
Chaotic Transients ◽  
Parameter Values

Tracking unstable periodic states first introduced in [Schwartz & Triandaf, 1992] is the process of continuing unstable solutions as a systems parameter is varied in experiments. The tracked dynamical objects have been periodic saddles of well-defined finite periods. However, other saddles, such as chaotic saddles, have not been successfully "tracked," or continued. In this paper, we introduce a new yet simple method which can be used to track chaotic saddles in dynamical systems, which allows an experimentalist to sustain chaotic transients far away from crisis parameter values. The method is illustrated on a periodically driven CO 2 laser.

Chaos and chaotic transients in yttrium iron garnet (invited)

1988 ◽  
Vol 64 (10) ◽  
pp. 5396-5400 ◽  
Author(s):  
T. L. Carroll ◽  
L. M. Pecora ◽  
F. J. Rachford
Keyword(s):  
Yttrium Iron Garnet ◽  
Yttrium Iron ◽  
Iron Garnet ◽  
Chaotic Transients

Scaling laws for noise-induced superpersistent chaotic transients

2005 ◽  
Vol 71 (4) ◽  
Author(s):  
Younghae Do ◽  
Ying-Cheng Lai
Keyword(s):  
Scaling Laws ◽  
Chaotic Transients

scholarly journals Chaotic transients and generalized crises of a Duffing-van der Pol oscillator with two external periodic excitations

2013 ◽  
Vol 62 (12) ◽  
pp. 120506
Author(s):  
Han Qun ◽  
Xu Wei ◽  
Liu Tao ◽  
Liu Li
Keyword(s):  
Van Der Pol Oscillator ◽  
Van Der Pol ◽  
Chaotic Transients
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