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Volumn 6, Issue 2, 1996, Pages 219-249

Clarifying chaos: Examples and counterexamples

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EID: 0039333597     PISSN: 02181274     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218127496000023     Document Type: Article
Times cited : (153)

References (59)
  • 2
    • 49049151403 scopus 로고
    • Symbolic dynamics and hyperbolic dynamical systems
    • Alekseev, V. & Yakobson, M. [1981] "Symbolic dynamics and hyperbolic dynamical systems," Physics Rep. 75, 287.
    • (1981) Physics Rep. , vol.75 , pp. 287
    • Alekseev, V.1    Yakobson, M.2
  • 7
    • 0039357543 scopus 로고
    • Dynamical system state need not have spectrum
    • Boyd, S. & Chua, L. [1985] "Dynamical system state need not have spectrum," IEEE Trans. Circuits and Syst. CAS-32(9), 968-969.
    • (1985) IEEE Trans. Circuits and Syst. , vol.CAS-32 , Issue.9 , pp. 968-969
    • Boyd, S.1    Chua, L.2
  • 8
    • 0040952089 scopus 로고
    • Horseshoes in the twist-and-flip map
    • Brown, R. & Chua, L. [1991a] "Horseshoes in the twist-and-flip map," Int. J. of Bifurcation and Chaos 1(1), 235-252.
    • (1991) Int. J. of Bifurcation and Chaos , vol.1 , Issue.1 , pp. 235-252
    • Brown, R.1    Chua, L.2
  • 9
    • 0040542760 scopus 로고
    • Generalizing the twist-and-flip paradigm
    • Brown, R. & Chua, L. [1991b] "Generalizing the twist-and-flip paradigm," Int. J. of Bifurcation and Chaos 1(2), 385-416.
    • (1991) Int. J. of Bifurcation and Chaos , vol.1 , Issue.2 , pp. 385-416
    • Brown, R.1    Chua, L.2
  • 10
    • 0041136854 scopus 로고
    • Generalizations of the Chua equations
    • Brown, R. [1992] "Generalizations of the Chua equations," Int. J. of Bifurcation and Chaos 2(4), 889-909.
    • (1992) Int. J. of Bifurcation and Chaos , vol.2 , Issue.4 , pp. 889-909
    • Brown, R.1
  • 12
    • 0002034420 scopus 로고
    • Randomness and mathematical proof
    • Chaitin, G. [1975] "Randomness and mathematical proof," Scientific American 232(5).
    • (1975) Scientific American , vol.232 , Issue.5
    • Chaitin, G.1
  • 13
    • 4243643104 scopus 로고
    • Randomness and complexity in pure mathematics
    • Chaitin, G. [1994] "Randomness and complexity in pure mathematics," Int. J. Bifurcation and Chaos 4(1).
    • (1994) Int. J. Bifurcation and Chaos , vol.4 , Issue.1
    • Chaitin, G.1
  • 15
    • 0025429926 scopus 로고
    • Generating randomness from chaos and constructing chaos with desired randomness
    • Chua, L. O., Yao, Y. & Yang, Q. [1990] "Generating randomness from chaos and constructing chaos with desired randomness," Int. J. of Circuit Theory and Applications 18(3), 215-240.
    • (1990) Int. J. of Circuit Theory and Applications , vol.18 , Issue.3 , pp. 215-240
    • Chua, L.O.1    Yao, Y.2    Yang, Q.3
  • 16
    • 0019080376 scopus 로고
    • Dynamic nonlinear networks: State of the art
    • Chua, L. O. [1980] "Dynamic nonlinear networks: State of the art," IEEE Trans. Circuits and Systems 27(11), 1059-1087.
    • (1980) IEEE Trans. Circuits and Systems , vol.27 , Issue.11 , pp. 1059-1087
    • Chua, L.O.1
  • 18
    • 84914748272 scopus 로고
    • Reversible diffeomorphisms and flows
    • Devaney, R. [1976] "Reversible diffeomorphisms and flows," Trans. Amer. Math. Soc., 218, 89-113.
    • (1976) Trans. Amer. Math. Soc. , vol.218 , pp. 89-113
    • Devaney, R.1
  • 20
    • 0002930778 scopus 로고
    • On the structure of symmetric periodic solutions of conservative systems with applications
    • Devogelaere, R. [1958] "On the structure of symmetric periodic solutions of conservative systems with applications," Contributions to the Theory of Nonlinear Oscillations IV, 53-54.
    • (1958) Contributions to the Theory of Nonlinear Oscillations , vol.4 , pp. 53-54
    • Devogelaere, R.1
  • 23
    • 0010681130 scopus 로고
    • Chaos: Solving the unsolvable, predicting the unpredictable
    • Academic Press, New York
    • Ford, J. [1986] "Chaos: Solving the unsolvable, predicting the unpredictable," from Chaotic Dynamics and Fractals (Academic Press, New York).
    • (1986) Chaotic Dynamics and Fractals
    • Ford, J.1
  • 24
    • 48549114635 scopus 로고
    • Strange attractors that are not chaotic
    • Grebogi, C., Ott, E., Pelikam, S. & Yorke, J. [1984] "Strange attractors that are not chaotic," Physica D13, 261.
    • (1984) Physica , vol.D13 , pp. 261
    • Grebogi, C.1    Ott, E.2    Pelikam, S.3    Yorke, J.4
  • 28
    • 0040542798 scopus 로고
    • The chaos of dynamical systems
    • Marcel Dekker, New York
    • Hirsch, M. [1985] "The chaos of dynamical systems" from Chaos, Fractals, and Dynamics (Marcel Dekker, New York).
    • (1985) Chaos, Fractals, and Dynamics
    • Hirsch, M.1
  • 30
    • 0039357542 scopus 로고
    • Random number generators
    • Hull, T. & Dobell, A. [1962] "Random number generators," SIAM 4, 230-254.
    • (1962) SIAM , vol.4 , pp. 230-254
    • Hull, T.1    Dobell, A.2
  • 31
    • 51649161951 scopus 로고
    • Lyapunov exponents, entropy and periodic points for diffeomorphisms
    • Katok, A. [1980] "Lyapunov exponents, entropy and periodic points for diffeomorphisms," Publ. Math. IHES 51, 137-174.
    • (1980) Publ. Math. IHES , vol.51 , pp. 137-174
    • Katok, A.1
  • 35
    • 0004154108 scopus 로고
    • University of Washington Press, Seattle
    • Lorenz, E. [1993] The Essence of Chaos (University of Washington Press, Seattle).
    • (1993) The Essence of Chaos
    • Lorenz, E.1
  • 36
    • 18344371384 scopus 로고
    • The definition of random sequences
    • Martin-Löf, P. [1966] "The definition of random sequences," Information and Control 9, 602-619.
    • (1966) Information and Control , vol.9 , pp. 602-619
    • Martin-Löf, P.1
  • 37
  • 40
    • 0039949945 scopus 로고
    • Ergodic theory, randomness, and chaos
    • Orenstein, D. [1989] "Ergodic theory, randomness, and chaos," Science 243, 182-186.
    • (1989) Science , vol.243 , pp. 182-186
    • Orenstein, D.1
  • 42
    • 0024090481 scopus 로고
    • Random number generators: Good ones are hard to find
    • Park, S. & Miller, K. [1988] "Random number generators: Good ones are hard to find," Commun. ACM 31(10), 1192-1201.
    • (1988) Commun. ACM , vol.31 , Issue.10 , pp. 1192-1201
    • Park, S.1    Miller, K.2
  • 49
    • 4244116032 scopus 로고
    • Chua's circuit: Rigorous results and future problems
    • Shil'nikov, L. [1994] "Chua's circuit: Rigorous results and future problems," Int. J. of Bifurcation and Chaos 4(3), 489-519.
    • (1994) Int. J. of Bifurcation and Chaos , vol.4 , Issue.3 , pp. 489-519
    • Shil'nikov, L.1
  • 51
    • 21844484279 scopus 로고
    • Chaos in the Tang-Mees-Chua model of threshold synchronization
    • Smell, A. J., Dumbell, K. D. & Smith, P. D. [1995] "Chaos in the Tang-Mees-Chua model of threshold synchronization," Int. J. Bifurcation and Chaos 5(1), 175-187.
    • (1995) Int. J. Bifurcation and Chaos , vol.5 , Issue.1 , pp. 175-187
    • Smell, A.J.1    Dumbell, K.D.2    Smith, P.D.3
  • 55
    • 0001591606 scopus 로고
    • On combination of stochastic and deterministic processes; Preliminary report
    • Ulam, S. & Von Neumann, J. [1947] "On combination of stochastic and deterministic processes; Preliminary report," Bulletin of the AMS, p. 1120.
    • (1947) Bulletin of the AMS , pp. 1120
    • Ulam, S.1    Von Neumann, J.2
  • 59
    • 84915285094 scopus 로고
    • Random normal deviates
    • Cambridge University Press, Cambridge
    • Wold, H. [1948] "Random normal deviates," Tracts for Computers (Cambridge University Press, Cambridge).
    • (1948) Tracts for Computers
    • Wold, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.