-
2
-
-
0021294084
-
Initial and boundary value problems in kinetic theory. I. The Knudsen gas, II. The Boltzmann equation
-
Part II, 475-498
-
Babovsky, H. [1984] "Initial and boundary value problems in kinetic theory. I. The Knudsen gas, II. The Boltzmann equation," Trans. Theor. Stat. Phys. 13, Part I, 455-474; Part II, 475-498.
-
(1984)
Trans. Theor. Stat. Phys.
, vol.13
, Issue.PART I
, pp. 455-474
-
-
Babovsky, H.1
-
3
-
-
0039735665
-
Ergodic properties of a kicked damped particle
-
Beck, C. [1990] "Ergodic properties of a kicked damped particle," Commun. Math. Phys. 130, 51-60.
-
(1990)
Commun. Math. Phys.
, vol.130
, pp. 51-60
-
-
Beck, C.1
-
4
-
-
85000391603
-
Cryptoanalysis of the chaoticmap cryptosystem suggested at EUROCRYPT'91
-
Biham, E. [1991] "Cryptoanalysis of the chaoticmap cryptosystem suggested at EUROCRYPT'91," EUROCRYPT'91, pp. 532-534.
-
(1991)
EUROCRYPT'91
, pp. 532-534
-
-
Biham, E.1
-
5
-
-
0003104277
-
Chaos synchronization in Chua's circuit
-
Chua, L. O., Itoh, M., Kocarev, L. & Eckert, K. [1993] "Chaos synchronization in Chua's circuit," J. Circuits. Syst. Comput. 3, 309-324.
-
(1993)
J. Circuits. Syst. Comput.
, vol.3
, pp. 309-324
-
-
Chua, L.O.1
Itoh, M.2
Kocarev, L.3
Eckert, K.4
-
8
-
-
51249167581
-
Complex dynamic in a 4D Peano-Hilbert space
-
El Naschie, M. S. [1992] "Complex dynamic in a 4D Peano-Hilbert space," Il Nuovo Cimento 107B(5), 583-594.
-
(1992)
Il Nuovo Cimento
, vol.107 B
, Issue.5
, pp. 583-594
-
-
El Naschie, M.S.1
-
9
-
-
0040360950
-
Control and applications of chaos
-
Grebogi, C., Lai, Y-Ch. & Hayes, S. [1997] "Control and applications of chaos," Int. J. Bifurcation and Chaos 7, 2175-2197.
-
(1997)
Int. J. Bifurcation and Chaos
, vol.7
, pp. 2175-2197
-
-
Grebogi, C.1
Lai, Y.-Ch.2
Hayes, S.3
-
10
-
-
0003285244
-
Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
-
Springer-Verlag, NY
-
Guckenheimer, J. & Holmes, P. [1983] "Nonlinear oscillations, dynamical systems, and bifurcations of vector fields," Appl. Math. Sci. 42 (Springer-Verlag, NY).
-
(1983)
Appl. Math. Sci.
, vol.42
-
-
Guckenheimer, J.1
Holmes, P.2
-
11
-
-
84893107930
-
A secret key cryptosystem by iterating a chaotic map
-
Habutsu, T., Nishio, Y., Sasase & I., S. Mori, S. [1991] "A secret key cryptosystem by iterating a chaotic map," EUROCRYPT'91, pp. 127-140.
-
(1991)
EUROCRYPT'91
, pp. 127-140
-
-
Habutsu, T.1
Nishio, Y.2
Sasase, I.S.3
Mori, S.4
-
12
-
-
12044253971
-
Communicating with chaos
-
Hayes, S., Grebogi, C. & Ott, E. [1993] "Communicating with chaos," Phys. Rev. Lett. 70(20), 3031-3034.
-
(1993)
Phys. Rev. Lett.
, vol.70
, Issue.20
, pp. 3031-3034
-
-
Hayes, S.1
Grebogi, C.2
Ott, E.3
-
13
-
-
0026914505
-
Integrable spin systems with long range interactions
-
Hikami, K., Kulish, P. P. & Wadati, M. [1992] "Integrable spin systems with long range interactions," Chaos Solit. Fract. 2(5), 543-550.
-
(1992)
Chaos Solit. Fract.
, vol.2
, Issue.5
, pp. 543-550
-
-
Hikami, K.1
Kulish, P.P.2
Wadati, M.3
-
16
-
-
0000072208
-
Experimental demonstration of secure communications via chaotic synchronization
-
Kocarev, Lj., Halle, K. S., Eckert, K., Chua, L. O. & Parlitz, U. [1992] "Experimental demonstration of secure communications via chaotic synchronization," Int. J. Bifurcation and Chaos 2, 709-713.
-
(1992)
Int. J. Bifurcation and Chaos
, vol.2
, pp. 709-713
-
-
Kocarev, Lj.1
Halle, K.S.2
Eckert, K.3
Chua, L.O.4
Parlitz, U.5
-
17
-
-
0030833521
-
Statistics of chaotic binary sequences
-
Kohda, T. & Tsuneda, A., [1997] "Statistics of chaotic binary sequences," IEEE Trans. Inf. Theory 43(1), 104-112.
-
(1997)
IEEE Trans. Inf. Theory
, vol.43
, Issue.1
, pp. 104-112
-
-
Kohda, T.1
Tsuneda, A.2
-
18
-
-
0040654898
-
A simplified proof of a Birkhoff-Chinczyn theorem
-
Kolmogorov, A. N. [1938] "A simplified proof of a Birkhoff-Chinczyn theorem," Usp. Mat. Nauk 5, 52-56.
-
(1938)
Usp. Mat. Nauk
, vol.5
, pp. 52-56
-
-
Kolmogorov, A.N.1
-
19
-
-
0040827776
-
Ergodic properties of some class of piecewise smooth maps on the interval
-
Kosjakin, A. A. & Sandler, E. A. [1972] "Ergodic properties of some class of piecewise smooth maps on the interval," Matiematika 3, 32-40.
-
(1972)
Matiematika
, vol.3
, pp. 32-40
-
-
Kosjakin, A.A.1
Sandler, E.A.2
-
21
-
-
0000100336
-
Period three implies chaos
-
Li, T.-Y. & Yorke, J. A. [1975] "Period three implies chaos," Am. Math. Monthly 82(10), 985-992.
-
(1975)
Am. Math. Monthly
, vol.82
, Issue.10
, pp. 985-992
-
-
Li, T.-Y.1
Yorke, J.A.2
-
22
-
-
0010973174
-
-
World Scientific, Singapore
-
Lin, H. B. [1984] Chaos (World Scientific, Singapore).
-
(1984)
Chaos
-
-
Lin, H.B.1
-
23
-
-
0000241853
-
Deterministic nonperiodic flow
-
Lorenz, E. N. [1963] "Deterministic nonperiodic flow," J. Atmos. Sci. 20, 130-141.
-
(1963)
J. Atmos. Sci.
, vol.20
, pp. 130-141
-
-
Lorenz, E.N.1
-
24
-
-
0029196536
-
Chaotic cryptology
-
Martienssen, W., Hübinger, B. & Doerner, R. [1995] "Chaotic cryptology," Annalen der Physik 4, 35-42.
-
(1995)
Annalen der Physik
, vol.4
, pp. 35-42
-
-
Martienssen, W.1
Hübinger, B.2
Doerner, R.3
-
25
-
-
21844507647
-
Controlling and synchronization of chaos in the simplest dissipative nonautonomous circuit
-
Murali, K., Lakshmann, M. & Chua, L. O. [1995] "Controlling and synchronization of chaos in the simplest dissipative nonautonomous circuit," Int. J. Bifurcation and Chaos 5, 563-572.
-
(1995)
Int. J. Bifurcation and Chaos
, vol.5
, pp. 563-572
-
-
Murali, K.1
Lakshmann, M.2
Chua, L.O.3
-
27
-
-
0000768820
-
Bernoulli shifts with the same entropy are isomorphic
-
Ornstein, D. [1970] "Bernoulli shifts with the same entropy are isomorphic," Adv. Math. 4(3), 337-352.
-
(1970)
Adv. Math.
, vol.4
, Issue.3
, pp. 337-352
-
-
Ornstein, D.1
-
28
-
-
0000543733
-
A multiplicative ergodic theorem: Lyapunov characteristic numbers for dynamical systems
-
Oseledec, V. I. [1968] "A multiplicative ergodic theorem: Lyapunov characteristic numbers for dynamical systems," Trans. Moscow Math. Soc. 19, 197-231.
-
(1968)
Trans. Moscow Math. Soc.
, vol.19
, pp. 197-231
-
-
Oseledec, V.I.1
-
29
-
-
4243489552
-
Controlling chaos
-
Ott, E., Grebogi, C. & Yorke, J. A. [1990] "Controlling chaos," Phys. Rev. Lett. 64(11), 1196-1199.
-
(1990)
Phys. Rev. Lett.
, vol.64
, Issue.11
, pp. 1196-1199
-
-
Ott, E.1
Grebogi, C.2
Yorke, J.A.3
-
30
-
-
0001116643
-
Transmission of digital signals by chaotic synchronization
-
Parlitz, U., Chua, L. O., Kocarev, Lj., Halle, K. S. & Shang, A. [1992] "Transmission of digital signals by chaotic synchronization," Int. J. Bifurcation and Chaos 2, 973-977.
-
(1992)
Int. J. Bifurcation and Chaos
, vol.2
, pp. 973-977
-
-
Parlitz, U.1
Chua, L.O.2
Kocarev, Lj.3
Halle, K.S.4
Shang, A.5
-
31
-
-
0004233869
-
-
Cambridge University Press, Cambridge
-
Parry, W. [1981] Topics in Ergodic Theory (Cambridge University Press, Cambridge).
-
(1981)
Topics in Ergodic Theory
-
-
Parry, W.1
-
32
-
-
0343689904
-
Synchronization in chaotic systems
-
Pecora, L. M. & Caroll, T. L. [1990] "Synchronization in chaotic systems," Phys. Rev. Lett. 64(8), 821-824.
-
(1990)
Phys. Rev. Lett.
, vol.64
, Issue.8
, pp. 821-824
-
-
Pecora, L.M.1
Caroll, T.L.2
-
33
-
-
84961291543
-
Characteristic Lyapunov exponents and smooth ergodic theory
-
Pesin, J. B. [1977] "Characteristic Lyapunov exponents and smooth ergodic theory," Russ. Math. Surv. 32, 55-114.
-
(1977)
Russ. Math. Surv.
, vol.32
, pp. 55-114
-
-
Pesin, J.B.1
-
34
-
-
34250254669
-
Intermittent transition to turbulence in dissipative dynamical systems
-
Pomeau, Y. & Manneville, P. [1980] "Intermittent transition to turbulence in dissipative dynamical systems," Commun. Math. Phys. 74, 189-197.
-
(1980)
Commun. Math. Phys.
, vol.74
, pp. 189-197
-
-
Pomeau, Y.1
Manneville, P.2
-
36
-
-
0000672504
-
A numerical approach to ergodic problem of dissipative dynamical systems
-
Shimada, I. & Nagashima, T. [1979] "A numerical approach to ergodic problem of dissipative dynamical systems," Prog. Theor. Phys. 61, 1605-1616.
-
(1979)
Prog. Theor. Phys.
, vol.61
, pp. 1605-1616
-
-
Shimada, I.1
Nagashima, T.2
-
37
-
-
0000419815
-
On the concept of entropy of dynamical systems
-
Sinai, J. G. [1959] "On the concept of entropy of dynamical systems," Doklady Ac.Sc.S.U. 124, 768-771.
-
(1959)
Doklady Ac.Sc.S.U.
, vol.124
, pp. 768-771
-
-
Sinai, J.G.1
-
38
-
-
0007245193
-
The coexistence problem for conservative dynamical systems: A review
-
Strelcyn, J.-M. [1991] "The coexistence problem for conservative dynamical systems: A review," Colloq. Math. 62(2), 331-345.
-
(1991)
Colloq. Math.
, vol.62
, Issue.2
, pp. 331-345
-
-
Strelcyn, J.-M.1
-
39
-
-
0040921579
-
On topologically equivalent ergodic and chaotic reflection laws leading to different types of particle motion
-
Szczepański, J. & Kotulski, Z. [1998] "On topologically equivalent ergodic and chaotic reflection laws leading to different types of particle motion," Arch. Mech. 50(5), 865-875.
-
(1998)
Arch. Mech.
, vol.50
, Issue.5
, pp. 865-875
-
-
Szczepański, J.1
Kotulski, Z.2
-
40
-
-
3342952564
-
Long-time behavior of the one-particle distribution function for the Knudsen gas in a convex domain
-
Szczepański, J. & Wajnryb, E. [1991] "Long-time behavior of the one-particle distribution function for the Knudsen gas in a convex domain," Phys. Rev. A44(6), 3615-3621.
-
(1991)
Phys. Rev.
, vol.A44
, Issue.6
, pp. 3615-3621
-
-
Szczepański, J.1
Wajnryb, E.2
-
41
-
-
3342931913
-
Do ergodic or chaotic properties of the reflection law imply ergodicity or chaotic behavior of a particle's motion?
-
Szczepański, J. & Wajnryb, E. [1995] "Do ergodic or chaotic properties of the reflection law imply ergodicity or chaotic behavior of a particle's motion?" Chaos Solit. Fract. 5(1), 77-89.
-
(1995)
Chaos Solit. Fract.
, vol.5
, Issue.1
, pp. 77-89
-
-
Szczepański, J.1
Wajnryb, E.2
|