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Volumn 70, Issue 2 2, 2004, Pages

Information flow through a chaotic channel: Prediction and postdiction at finite resolution

Author keywords

[No Author keywords available]

Indexed keywords

AMPLIFICATION; BIFURCATION (MATHEMATICS); CHAOS THEORY; CONFORMAL MAPPING; CONVERGENCE OF NUMERICAL METHODS; CORRELATION METHODS; FOURIER TRANSFORMS; INTEGRAL EQUATIONS; LYAPUNOV METHODS; MARKOV PROCESSES; NONLINEAR SYSTEMS; PHASE SPACE METHODS; PROBABILITY DISTRIBUTIONS;

EID: 42749098843     PISSN: 15393755     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.70.026205     Document Type: Review
Times cited : (10)

References (27)
  • 1
    • 0003582543 scopus 로고
    • Cambridge University Press, Cambridge
    • E. Ott, Chaos in Dynamical Systems (Cambridge University Press, Cambridge, 1993).
    • (1993) Chaos in Dynamical Systems
    • Ott, E.1
  • 10
    • 33645072190 scopus 로고    scopus 로고
    • N. F. Rulkov, M. A. Vorontsov, and L. Illing, e-print nlin.CD/ 0211019
    • N. F. Rulkov, M. A. Vorontsov, and L. Illing, e-print nlin.CD/ 0211019.
  • 20
    • 84940644968 scopus 로고
    • C. E. Shannon, Bell Syst. Tech. J. 27, 379 (1948). Published also in C. E. Shannon and W. Weaver, The Mathematical Theory of Communication (University of Illinois Press, Urbana, Illinois, 1963), and available online at http://cm.bell-labs.com/cm/ms/what/shannonday/paper.html
    • (1948) Bell Syst. Tech. J. , vol.27 , pp. 379
    • Shannon, C.E.1
  • 21
    • 84940644968 scopus 로고
    • University of Illinois Press, Urbana, Illinois
    • C. E. Shannon, Bell Syst. Tech. J. 27, 379 (1948). Published also in C. E. Shannon and W. Weaver, The Mathematical Theory of Communication (University of Illinois Press, Urbana, Illinois, 1963), and available online at http://cm.bell-labs.com/cm/ms/what/shannonday/paper.html
    • (1963) The Mathematical Theory of Communication
    • Shannon, C.E.1    Weaver, W.2
  • 23
    • 0004108421 scopus 로고
    • MIT Press, Cambridge, MA
    • This is also referred to as the entropy, or uncertainty, or equivocation of X. Note that there are different conventions regarding the sign of I(X); we follow Shannon's definition as a positive quantity - the amount of information gained upon measuring X. On the other hand, Wiener defines information as a negative quantity [N. Wiener, Cybernetics (MIT Press, Cambridge, MA, 1961)].
    • (1961) Cybernetics
    • Wiener, N.1
  • 24
    • 33645078221 scopus 로고    scopus 로고
    • note
    • This can be regarded as defining what the observed quantity is. Transformations commonly used to switch from one set of variables/equations to another do not conserve this property.
  • 27
    • 4243370712 scopus 로고    scopus 로고
    • This is fundamentally different from other representations that use complex numbers in various contexts, including, for example, the recent treatment of coupled oscillators with a collective fundamental frequency [H. Kori and Y. Kuramoto, Phys. Rev. E 63, 046214 (2001)].
    • (2001) Phys. Rev. E , vol.63 , pp. 046214
    • Kori, H.1    Kuramoto, Y.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.