-
1
-
-
12044251580
-
-
K.M. Cuomo and A.V. Oppenheim, Phys. Rev. Lett. 71, 65 (1993); L. Kocarev, K.S. Halle, K. Eckert, L.O. Chua, and U. Parlitz, Int. J. Bifurcation Chaos Appl. Sci. Eng. 2, 973 (1992); L. Kocarev and U. Parlitz, Phys. Rev. Lett. 74, 5028 (1995); N.F. Rulkov, Chaos 6, 262 (1996).
-
(1993)
Phys. Rev. Lett.
, vol.71
, pp. 65
-
-
Cuomo, K.M.1
Oppenheim, A.V.2
-
2
-
-
12044251580
-
-
K.M. Cuomo and A.V. Oppenheim, Phys. Rev. Lett. 71, 65 (1993); L. Kocarev, K.S. Halle, K. Eckert, L.O. Chua, and U. Parlitz, Int. J. Bifurcation Chaos Appl. Sci. Eng. 2, 973 (1992); L. Kocarev and U. Parlitz, Phys. Rev. Lett. 74, 5028 (1995); N.F. Rulkov, Chaos 6, 262 (1996).
-
(1992)
Int. J. Bifurcation Chaos Appl. Sci. Eng.
, vol.2
, pp. 973
-
-
Kocarev, L.1
Halle, K.S.2
Eckert, K.3
Chua, L.O.4
Parlitz, U.5
-
3
-
-
11944272386
-
-
K.M. Cuomo and A.V. Oppenheim, Phys. Rev. Lett. 71, 65 (1993); L. Kocarev, K.S. Halle, K. Eckert, L.O. Chua, and U. Parlitz, Int. J. Bifurcation Chaos Appl. Sci. Eng. 2, 973 (1992); L. Kocarev and U. Parlitz, Phys. Rev. Lett. 74, 5028 (1995); N.F. Rulkov, Chaos 6, 262 (1996).
-
(1995)
Phys. Rev. Lett.
, vol.74
, pp. 5028
-
-
Kocarev, L.1
Parlitz, U.2
-
4
-
-
0003255519
-
-
K.M. Cuomo and A.V. Oppenheim, Phys. Rev. Lett. 71, 65 (1993); L. Kocarev, K.S. Halle, K. Eckert, L.O. Chua, and U. Parlitz, Int. J. Bifurcation Chaos Appl. Sci. Eng. 2, 973 (1992); L. Kocarev and U. Parlitz, Phys. Rev. Lett. 74, 5028 (1995); N.F. Rulkov, Chaos 6, 262 (1996).
-
(1996)
Chaos
, vol.6
, pp. 262
-
-
Rulkov, N.F.1
-
11
-
-
4544258791
-
-
B.R. Hunt and E. Ott, Phys. Rev. Lett. 76, 2254 (1996); Phys. Rev. E 54, 328 (1996).
-
(1996)
Phys. Rev. E
, vol.54
, pp. 328
-
-
-
15
-
-
4243299076
-
-
Y. Nagai and Y.-C. Lai, Phys. Rev. E 55, R1251 (1997); 56, 4031 (1997).
-
(1997)
Phys. Rev. E
, vol.56
, pp. 4031
-
-
-
18
-
-
0002696479
-
-
A.S. Pikovsky and P. Grassberger, J. Phys. A 24, 4587 (1991); A.S. Pikovsky, Phys. Lett. A 165, 33 (1992).
-
(1992)
Phys. Lett. A
, vol.165
, pp. 33
-
-
Pikovsky, A.S.1
-
19
-
-
0000130634
-
-
H. Fujisaka and T. Yamada, Prog. Theor. Phys. 74, 918 (1985); 75, 1087 (1986); H. Fujisaka, H. Ishii, M. Inoue, and T. Yamada, ibid. 76, 1198 (1986).
-
(1985)
Prog. Theor. Phys.
, vol.74
, pp. 918
-
-
Fujisaka, H.1
Yamada, T.2
-
20
-
-
0000130635
-
-
H. Fujisaka and T. Yamada, Prog. Theor. Phys. 74, 918 (1985); 75, 1087 (1986); H. Fujisaka, H. Ishii, M. Inoue, and T. Yamada, ibid. 76, 1198 (1986).
-
(1986)
Prog. Theor. Phys.
, vol.75
, pp. 1087
-
-
-
21
-
-
0001649483
-
-
H. Fujisaka and T. Yamada, Prog. Theor. Phys. 74, 918 (1985); 75, 1087 (1986); H. Fujisaka, H. Ishii, M. Inoue, and T. Yamada, ibid. 76, 1198 (1986).
-
(1986)
Prog. Theor. Phys.
, vol.76
, pp. 1198
-
-
Fujisaka, H.1
Ishii, H.2
Inoue, M.3
Yamada, T.4
-
22
-
-
0000824991
-
-
L. Yu, E. Ott, and Q. Chen, Phys. Rev. Lett. 65, 2935 (1990); Physica D 53, 102 (1992).
-
(1990)
Phys. Rev. Lett.
, vol.65
, pp. 2935
-
-
Yu, L.1
Ott, E.2
Chen, Q.3
-
23
-
-
0000824991
-
-
L. Yu, E. Ott, and Q. Chen, Phys. Rev. Lett. 65, 2935 (1990); Physica D 53, 102 (1992).
-
(1992)
Physica D
, vol.53
, pp. 102
-
-
-
24
-
-
12044255333
-
-
N. Platt, E.A. Spiegel, and C. Tresser, Phys. Rev. Lett. 70, 279 (1993); J.F. Heagy, N. Platt, and S.M. Hammel, Phys. Rev. E 49, 1140 (1994); N. Platt, S.M. Hammel, and J.F. Heagy, Phys. Rev. Lett. 72, 3498 (1994).
-
(1993)
Phys. Rev. Lett.
, vol.70
, pp. 279
-
-
Platt, N.1
Spiegel, E.A.2
Tresser, C.3
-
25
-
-
0001296111
-
-
N. Platt, E.A. Spiegel, and C. Tresser, Phys. Rev. Lett. 70, 279 (1993); J.F. Heagy, N. Platt, and S.M. Hammel, Phys. Rev. E 49, 1140 (1994); N. Platt, S.M. Hammel, and J.F. Heagy, Phys. Rev. Lett. 72, 3498 (1994).
-
(1994)
Phys. Rev. E
, vol.49
, pp. 1140
-
-
Heagy, J.F.1
Platt, N.2
Hammel, S.M.3
-
26
-
-
12044249418
-
-
N. Platt, E.A. Spiegel, and C. Tresser, Phys. Rev. Lett. 70, 279 (1993); J.F. Heagy, N. Platt, and S.M. Hammel, Phys. Rev. E 49, 1140 (1994); N. Platt, S.M. Hammel, and J.F. Heagy, Phys. Rev. Lett. 72, 3498 (1994).
-
(1994)
Phys. Rev. Lett.
, vol.72
, pp. 3498
-
-
Platt, N.1
Hammel, S.M.2
Heagy, J.F.3
-
27
-
-
0002881538
-
-
S.C. Venkataramani, T.M. Antonsen, E. Ott, and J.C. Sommerer, Physica D 96, 66 (1996).
-
(1996)
Physica D
, vol.96
, pp. 66
-
-
Venkataramani, S.C.1
Antonsen, T.M.2
Ott, E.3
Sommerer, J.C.4
-
31
-
-
84983710576
-
-
D. Marthaler, D. Armbruster, Y.-C. Lai, and E. Kostelich, Phys. Rev. E 64, 016220 (2001).
-
(2001)
Phys. Rev. E
, vol.64
, pp. 016220
-
-
Marthaler, D.1
Armbruster, D.2
Lai, Y.-C.3
Kostelich, E.4
-
33
-
-
0000263749
-
-
T. Kapitaniak, Phys. Rev. E 47, R2975 (1993); T. Kapitaniak and L.O. Chua, Int. J. Bifurcation Chaos Appl. Sci. Eng. 4, 477 (1994).
-
(1993)
Phys. Rev. E
, vol.47
-
-
Kapitaniak, T.1
-
36
-
-
18344381494
-
-
S.-Y. Kim and W. Lim, Phys. Rev. E 64, 016211 (2001); 63, 026217 (2001).
-
(2001)
Phys. Rev. E
, vol.63
, pp. 026217
-
-
-
37
-
-
0034706494
-
-
O. Popovych, Yu. Maistrenko, E. Mosekilde, A. Pikovsky, and J. Kurths, Phys. Lett. A 275, 401 (2002); Phys. Rev. E 63, 036201 (2001).
-
(2002)
Phys. Lett. A
, vol.275
, pp. 401
-
-
Popovych, O.1
Maistrenko, Yu.2
Mosekilde, E.3
Pikovsky, A.4
Kurths, J.5
-
38
-
-
4243665229
-
-
O. Popovych, Yu. Maistrenko, E. Mosekilde, A. Pikovsky, and J. Kurths, Phys. Lett. A 275, 401 (2002); Phys. Rev. E 63, 036201 (2001).
-
(2001)
Phys. Rev. E
, vol.63
, pp. 036201
-
-
-
39
-
-
0000402813
-
-
I. Aranson, D. Golomb, and H. Sompolinsky, Phys. Rev. Lett. 68, 3495 (1992); D. Auerbach, ibid. 72, 1184 (1994); Y. Jiang and P. Parmananda, Phys. Rev. E 57, 4135 (1998).
-
(1992)
Phys. Rev. Lett.
, vol.68
, pp. 3495
-
-
Aranson, I.1
Golomb, D.2
Sompolinsky, H.3
-
40
-
-
4243693111
-
-
I. Aranson, D. Golomb, and H. Sompolinsky, Phys. Rev. Lett. 68, 3495 (1992); D. Auerbach, ibid. 72, 1184 (1994); Y. Jiang and P. Parmananda, Phys. Rev. E 57, 4135 (1998).
-
(1994)
Phys. Rev. Lett.
, vol.72
, pp. 1184
-
-
Auerbach, D.1
-
41
-
-
0000150760
-
-
I. Aranson, D. Golomb, and H. Sompolinsky, Phys. Rev. Lett. 68, 3495 (1992); D. Auerbach, ibid. 72, 1184 (1994); Y. Jiang and P. Parmananda, Phys. Rev. E 57, 4135 (1998).
-
(1998)
Phys. Rev. E
, vol.57
, pp. 4135
-
-
Jiang, Y.1
Parmananda, P.2
-
44
-
-
0000928097
-
-
S.-Y. Kim and K. Lee, Phys. Rev. E 54, 1237 (1996); S.-Y. Kim and W. Lim, ibid. 63, 036223 (2001).
-
(1996)
Phys. Rev. E
, vol.54
, pp. 1237
-
-
Kim, S.-Y.1
Lee, K.2
-
45
-
-
0035275671
-
-
S.-Y. Kim and K. Lee, Phys. Rev. E 54, 1237 (1996); S.-Y. Kim and W. Lim, ibid. 63, 036223 (2001).
-
(2001)
Phys. Rev. E
, vol.63
, pp. 036223
-
-
Kim, S.-Y.1
Lim, W.2
-
51
-
-
45149135778
-
-
K. Kaneko, Physica D 41, 137 (1990); 75, 55 (1994); 124, 322 (1998).
-
(1990)
Physica D
, vol.41
, pp. 137
-
-
Kaneko, K.1
-
52
-
-
45149135778
-
-
K. Kaneko, Physica D 41, 137 (1990); 75, 55 (1994); 124, 322 (1998).
-
(1994)
Physica D
, vol.75
, pp. 55
-
-
-
53
-
-
45149135778
-
-
K. Kaneko, Physica D 41, 137 (1990); 75, 55 (1994); 124, 322 (1998).
-
(1998)
Physica D
, vol.124
, pp. 322
-
-
-
54
-
-
33645086292
-
-
note
-
-308, which is a threshold value for the numerical underflow in the double-precision calculation. Hence, in the system of u and v, we can follow a trajectory until its length becomes sufficiently long for the calculation of Lyapunov exponents of an asynchronous attractor.
-
-
-
-
55
-
-
0003871274
-
-
World Scientific, Singapore
-
C. Mira, L. Gardini, A. Barugola, and J.-C. Cathala, Chaotic Dynamics in Two-Dimensional Noninvertible Maps (World Scientific, Singapore, 1996); R.H. Abraham, L. Gardini, and C. Mira, Chaos in Discrete Dynamical Systems (Springer, New York, 1997).
-
(1996)
Chaotic Dynamics in Two-dimensional Noninvertible Maps
-
-
Mira, C.1
Gardini, L.2
Barugola, A.3
Cathala, J.-C.4
-
56
-
-
0003568092
-
-
Springer, New York
-
C. Mira, L. Gardini, A. Barugola, and J.-C. Cathala, Chaotic Dynamics in Two-Dimensional Noninvertible Maps (World Scientific, Singapore, 1996); R.H. Abraham, L. Gardini, and C. Mira, Chaos in Discrete Dynamical Systems (Springer, New York, 1997).
-
(1997)
Chaos in Discrete Dynamical Systems
-
-
Abraham, R.H.1
Gardini, L.2
Mira, C.3
-
57
-
-
0001674045
-
-
Yu.L. Maistrenko, V.L. Maistrenko, A. Popovich, and E. Mosekilde, Phys. Rev. Lett. 80, 1638 (1998); G.-I. Bischi and L. Gardini, Phys. Rev. E 58, 5710 (1998).
-
(1998)
Phys. Rev. Lett.
, vol.80
, pp. 1638
-
-
Maistrenko, Yu.L.1
Maistrenko, V.L.2
Popovich, A.3
Mosekilde, E.4
-
58
-
-
0000296089
-
-
Yu.L. Maistrenko, V.L. Maistrenko, A. Popovich, and E. Mosekilde, Phys. Rev. Lett. 80, 1638 (1998); G.-I. Bischi and L. Gardini, Phys. Rev. E 58, 5710 (1998).
-
(1998)
Phys. Rev. E
, vol.58
, pp. 5710
-
-
Bischi, G.-I.1
Gardini, L.2
-
59
-
-
33645073321
-
-
note
-
8) is obtained.
-
-
-
-
60
-
-
0008494528
-
-
A. Wolf, J.B. Swift, H.L. Swinney, and J.A. Vastano, Physica D 16, 285 (1985); G. Benettin, L. Galgani, A. Giorgilli, and J.-M. Strelcyn, Meccanica 15, 9 (1980); A.J. Lichtenberg and M.A. Lieberman, Regular and Stochastic Motion (Springer-Verlag, New York, 1983), p. 283.
-
(1985)
Physica D
, vol.16
, pp. 285
-
-
Wolf, A.1
Swift, J.B.2
Swinney, H.L.3
Vastano, J.A.4
-
61
-
-
0018989294
-
-
A. Wolf, J.B. Swift, H.L. Swinney, and J.A. Vastano, Physica D 16, 285 (1985); G. Benettin, L. Galgani, A. Giorgilli, and J.-M. Strelcyn, Meccanica 15, 9 (1980); A.J. Lichtenberg and M.A. Lieberman, Regular and Stochastic Motion (Springer-Verlag, New York, 1983), p. 283.
-
(1980)
Meccanica
, vol.15
, pp. 9
-
-
Benettin, G.1
Galgani, L.2
Giorgilli, A.3
Strelcyn, J.-M.4
-
62
-
-
0008494528
-
-
Springer-Verlag, New York
-
A. Wolf, J.B. Swift, H.L. Swinney, and J.A. Vastano, Physica D 16, 285 (1985); G. Benettin, L. Galgani, A. Giorgilli, and J.-M. Strelcyn, Meccanica 15, 9 (1980); A.J. Lichtenberg and M.A. Lieberman, Regular and Stochastic Motion (Springer-Verlag, New York, 1983), p. 283.
-
(1983)
Regular and Stochastic Motion
, pp. 283
-
-
Lichtenberg, A.J.1
Lieberman, M.A.2
|