TY - JOUR
T1 - Persistence of supertransients of spatiotemporal chaotic dynamical systems in noisy environment
AU - Lai, Ying Cheng
N1 - Funding Information:
We thank the Army High Performance Computing Center at the University of Minnesota for providing CPU time on the connection machine CM5. This work was partially supported by the Kansas Institute for Theoretical and Computational Science through the K*STAR/NSF EPSCoR Program.
Copyright:
Copyright 2014 Elsevier B.V., All rights reserved.
PY - 1995/5/8
Y1 - 1995/5/8
N2 - Superlong chaotic transients have been discovered in numerical simulations of model spatiotemporal chaotic dynamical systems. The presence of such transients poses a fundamental difficulty for observing the asymptotic state of the system. In this paper, we investigate the effect of small random noise on the lifetime of the chaotic transient. It is found that the averaged transient lifetime scales algebraically with the amplitude of the noise, with a near-zero exponent. This indicates that the transient lifetime is almost independent of the noise amplitude and, consequently, the presence of noise is not advantageous in attempts to reduce the transient lifetime. Therefore, we expect supertransients to be common in spatially-extended chaotic systems.
AB - Superlong chaotic transients have been discovered in numerical simulations of model spatiotemporal chaotic dynamical systems. The presence of such transients poses a fundamental difficulty for observing the asymptotic state of the system. In this paper, we investigate the effect of small random noise on the lifetime of the chaotic transient. It is found that the averaged transient lifetime scales algebraically with the amplitude of the noise, with a near-zero exponent. This indicates that the transient lifetime is almost independent of the noise amplitude and, consequently, the presence of noise is not advantageous in attempts to reduce the transient lifetime. Therefore, we expect supertransients to be common in spatially-extended chaotic systems.
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U2 - 10.1016/0375-9601(95)00224-Q
DO - 10.1016/0375-9601(95)00224-Q
M3 - Article
AN - SCOPUS:0011180696
VL - 200
SP - 418
EP - 422
JO - Physics Letters, Section A: General, Atomic and Solid State Physics
JF - Physics Letters, Section A: General, Atomic and Solid State Physics
SN - 0375-9601
IS - 6
ER -