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Volumn 66, Issue 6, 2002, Pages 11-

Statistics of finite-time Lyapunov exponents in a random time-dependent potential

Author keywords

[No Author keywords available]

Indexed keywords

CHAOS THEORY; ENTROPY; HAMILTONIANS; MATRIX ALGEBRA; PERTURBATION TECHNIQUES; QUANTUM THEORY;

EID: 37649032460     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.66.066207     Document Type: Article
Times cited : (72)

References (48)
  • 1
    • 85036388970 scopus 로고    scopus 로고
    • E. Ott, Chaos in Dynamical Systems (Cambridge University Press, Cambridge, 1993)
    • E. Ott, Chaos in Dynamical Systems (Cambridge University Press, Cambridge, 1993).
  • 10
    • 85036317503 scopus 로고    scopus 로고
    • A. Crisanti, G. Paladin, and A. Vulpiani, Products of Random Matrices (Springer, Berlin, 1993)
    • A. Crisanti, G. Paladin, and A. Vulpiani, Products of Random Matrices (Springer, Berlin, 1993).
  • 44
    • 85036303112 scopus 로고    scopus 로고
    • I. M. Lifshitz, S. A. Gredeskul, and L. A. Pastur, Introduction to the Theory of Disordered Systems (Wiley, New York, 1988)
    • I. M. Lifshitz, S. A. Gredeskul, and L. A. Pastur, Introduction to the Theory of Disordered Systems (Wiley, New York, 1988).
  • 46
    • 85036248913 scopus 로고    scopus 로고
    • Two complex-conjugate eigenvalues with the largest real part sometimes exist for odd (Formula presented) For simplicity, we will unrestrictedly refer to “the” largest eigenvalue also in these cases, by which we then mean either of the two eigenvalues. Moreover, note that no modulus signs appear in Eq. (39). This interpretation of the eigenvalue (Formula presented) for odd (Formula presented) which can also be motivated from analyticity considerations, is confirmed by the explicit computation of the first moment of (Formula presented) in Sec. IV B
    • Two complex-conjugate eigenvalues with the largest real part sometimes exist for odd (Formula presented) For simplicity, we will unrestrictedly refer to “the” largest eigenvalue also in these cases, by which we then mean either of the two eigenvalues. Moreover, note that no modulus signs appear in Eq. (39). This interpretation of the eigenvalue (Formula presented) for odd (Formula presented) which can also be motivated from analyticity considerations, is confirmed by the explicit computation of the first moment of (Formula presented) in Sec. IV B.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.