Abstract
Recently it has been found that spatiotemporal chaotic systems modeled by coupled map lattices with translational symmetry exhibit an extreme type of final state sensitivity characterized by a near-zero uncertainty exponent in both phase space and parameter space. A perturbation in initial condition and parameter, no matter how small from the point of view of computation, has a significant probability of altering the system's asymptotic attractor completely. In this paper we demonstrate that such a final state sensitivity persists for spatiotemporal systems without symmetry. This suggests that extreme final state sensitivity is a robust dynamical phenomenon in spatiotemporal chaotic systems.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 206-212 |
| Number of pages | 7 |
| Journal | Physics Letters A |
| Volume | 196 |
| Issue number | 1-2 |
| DOIs | |
| State | Published - Dec 19 1994 |
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ASJC Scopus subject areas
- Physics and Astronomy(all)
Cite this
Extreme final state sensitivity in inhomogeneous spatiotemporal chaotic systems. / Lai, Ying-Cheng; Grebogi, Celso; Kostelich, Eric.
In: Physics Letters A, Vol. 196, No. 1-2, 19.12.1994, p. 206-212.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Extreme final state sensitivity in inhomogeneous spatiotemporal chaotic systems
AU - Lai, Ying-Cheng
AU - Grebogi, Celso
AU - Kostelich, Eric
PY - 1994/12/19
Y1 - 1994/12/19
N2 - Recently it has been found that spatiotemporal chaotic systems modeled by coupled map lattices with translational symmetry exhibit an extreme type of final state sensitivity characterized by a near-zero uncertainty exponent in both phase space and parameter space. A perturbation in initial condition and parameter, no matter how small from the point of view of computation, has a significant probability of altering the system's asymptotic attractor completely. In this paper we demonstrate that such a final state sensitivity persists for spatiotemporal systems without symmetry. This suggests that extreme final state sensitivity is a robust dynamical phenomenon in spatiotemporal chaotic systems.
AB - Recently it has been found that spatiotemporal chaotic systems modeled by coupled map lattices with translational symmetry exhibit an extreme type of final state sensitivity characterized by a near-zero uncertainty exponent in both phase space and parameter space. A perturbation in initial condition and parameter, no matter how small from the point of view of computation, has a significant probability of altering the system's asymptotic attractor completely. In this paper we demonstrate that such a final state sensitivity persists for spatiotemporal systems without symmetry. This suggests that extreme final state sensitivity is a robust dynamical phenomenon in spatiotemporal chaotic systems.
UR - http://www.scopus.com/inward/record.url?scp=22244485236&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=22244485236&partnerID=8YFLogxK
U2 - 10.1016/0375-9601(94)91072-3
DO - 10.1016/0375-9601(94)91072-3
M3 - Article
AN - SCOPUS:22244485236
VL - 196
SP - 206
EP - 212
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 - 1-2
ER -