-
2
-
-
49049151403
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
22
-
-
0011303424
-
-
Wadsworth & Cole, Pacific Grove, California
-
Epstein, R. & Carnielli, W. [1989] Computability, Computable Functions, Logic and the Foundations of Mathematics (Wadsworth & Cole, Pacific Grove, California).
-
(1989)
Computability, Computable Functions, Logic and the Foundations of Mathematics
-
-
Epstein, R.1
Carnielli, W.2
-
23
-
-
0010681130
-
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
-
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
-
25
-
-
0003478288
-
-
Springer-Verlag, New York
-
Guckenheimer, J. & Holmes, P. [1983] Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields (Springer-Verlag, New York).
-
(1983)
Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields
-
-
Guckenheimer, J.1
Holmes, P.2
-
28
-
-
0040542798
-
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
-
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
-
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
-
-
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
-
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
-
-
0004239863
-
-
John Wiley & Sons, New York
-
Moon, F. C. [1987] Chaotic Vibrations (John Wiley & Sons, New York).
-
(1987)
Chaotic Vibrations
-
-
Moon, F.C.1
-
40
-
-
0039949945
-
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
-
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
-
45
-
-
0019071197
-
Autocorrelations of certain chaos
-
Sakai, H. & Tokumara, H. [1980] "Autocorrelations of certain chaos," IEEE Trans. Acoustics, Speech, and Signal Processing ASSP-28(5), 588-590.
-
(1980)
IEEE Trans. Acoustics, Speech, and Signal Processing
, vol.ASSP-28
, Issue.5
, pp. 588-590
-
-
Sakai, H.1
Tokumara, H.2
-
49
-
-
4244116032
-
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
-
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
-
53
-
-
0020811512
-
Synchronization and chaos
-
Tang, Y. S., Mees, A. I. & Chua, L. O. [1983], "Synchronization and chaos," IEEE Trans. on Circuits and Systems 30, 620-626.
-
(1983)
IEEE Trans. on Circuits and Systems
, vol.30
, pp. 620-626
-
-
Tang, Y.S.1
Mees, A.I.2
Chua, L.O.3
-
55
-
-
0001591606
-
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
-
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
|