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Volumn 63, Issue 3, 2001, Pages

Transition to stochastic synchronization in spatially extended systems

Author keywords

[No Author keywords available]

Indexed keywords

CRYSTAL LATTICES; PERCOLATION (SOLID STATE); PHASE TRANSITIONS; RANDOM PROCESSES;

EID: 0035276540     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.63.036226     Document Type: Article
Times cited : (65)

References (36)
  • 17
    • 85035295508 scopus 로고    scopus 로고
    • S. Puri, Narosa Publishing, New Dehli
    • For a recent review on directed percolation, see P. Grassberger, in Proceedings of the 1995 Shimla Conference on Complex Systems, edited by S. Puri (Narosa Publishing, New Dehli, 1997).
    • (1997) Proceedings of the 1995 Shimla Conference on Complex Systems
  • 20
    • 29444458309 scopus 로고    scopus 로고
    • P. Hubert, P. Tisseur, and S. Vaienti, J.-M. Gambaudo World Scientific, Singapore
    • L. Baroni, R. Livi, and A. Torcini, in Dynamical Systems: From Crystal to Chaos, edited by P. Hubert, P. Tisseur, and S. Vaienti, J.-M. Gambaudo (World Scientific, Singapore, 2000), p. 23.
    • (2000) Dynamical Systems: From Crystal to Chaos , pp. 23
    • Baroni, L.1    Livi, R.2    Torcini, A.3
  • 21
    • 85035263129 scopus 로고    scopus 로고
    • We have checked that different norms, e.g., the maximum or the Euclidean, do not modify the scenario described herein. Note that both quantities are well defined also in the noise-free case, since there is a finite probability that two different initial conditions may stay closer than a finite distance (Formula presented)
    • We have checked that different norms, e.g., the maximum or the Euclidean, do not modify the scenario described herein. Note that both quantities are well defined also in the noise-free case, since there is a finite probability that two different initial conditions may stay closer than a finite distance (Formula presented).
  • 22
    • 85035285254 scopus 로고    scopus 로고
    • a recent book by L. Arnold [Random Dynamical Systems, in Springer Monographs in Mathematics (Berlin, New York, 1998)], it has been shown that the maximum Lyapunov exponent is a meaningful quantity when the deterministic dynamics is coupled with the time-independent stochastic signal
    • In a recent book by L. Arnold [Random Dynamical Systems, in Springer Monographs in Mathematics (Berlin, New York, 1998)], it has been shown that the maximum Lyapunov exponent is a meaningful quantity when the deterministic dynamics is coupled with the time-independent stochastic signal.
  • 28
    • 85035263128 scopus 로고    scopus 로고
    • A.-L. Barabasi and H.E. Stanley Fractal Concepts in Surface Growth (Cambridge University Press, Cambridge, England, 1995)
    • A.-L. Barabasi and H.E. Stanley Fractal Concepts in Surface Growth (Cambridge University Press, Cambridge, England, 1995).
  • 36
    • 85035285985 scopus 로고    scopus 로고
    • e-print Phys. Rev. E (to be published); e-print
    • M. Cencini and A. Torcini, Phys. Rev. E (to be published); e-print nlin.CD/0011044.
    • Cencini, M.1    Torcini, A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.