메뉴 건너뛰기




Volumn 68, Issue 6 2, 2003, Pages 662031-6620310

Dynamical origin for the occurrence of asynchronous hyperchaos and chaos via blowout bifurcations

Author keywords

[No Author keywords available]

Indexed keywords

BIFURCATION (MATHEMATICS); COMPUTER SIMULATION; LYAPUNOV METHODS; MATHEMATICAL MODELS; SYNCHRONIZATION; SYSTEMS ANALYSIS;

EID: 1442354872     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (10)

References (62)
  • 1
    • 12044251580 scopus 로고
    • 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
  • 3
    • 11944272386 scopus 로고
    • 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 scopus 로고    scopus 로고
    • 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 scopus 로고    scopus 로고
    • 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 scopus 로고    scopus 로고
    • 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 scopus 로고
    • 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 scopus 로고
    • 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 scopus 로고
    • 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
  • 23
    • 0000824991 scopus 로고
    • 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 scopus 로고
    • 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 scopus 로고
    • 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 scopus 로고
    • 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
  • 33
    • 0000263749 scopus 로고
    • 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 scopus 로고    scopus 로고
    • S.-Y. Kim and W. Lim, Phys. Rev. E 64, 016211 (2001); 63, 026217 (2001).
    • (2001) Phys. Rev. E , vol.63 , pp. 026217
  • 38
    • 4243665229 scopus 로고    scopus 로고
    • 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
  • 40
    • 4243693111 scopus 로고
    • 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 scopus 로고    scopus 로고
    • 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 scopus 로고    scopus 로고
    • 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 scopus 로고    scopus 로고
    • 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 scopus 로고    scopus 로고
    • 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 scopus 로고    scopus 로고
    • K. Kaneko, Physica D 41, 137 (1990); 75, 55 (1994); 124, 322 (1998).
    • (1994) Physica D , vol.75 , pp. 55
  • 53
    • 45149135778 scopus 로고    scopus 로고
    • K. Kaneko, Physica D 41, 137 (1990); 75, 55 (1994); 124, 322 (1998).
    • (1998) Physica D , vol.124 , pp. 322
  • 54
    • 33645086292 scopus 로고    scopus 로고
    • 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.
  • 56
    • 0003568092 scopus 로고    scopus 로고
    • 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
  • 58
    • 0000296089 scopus 로고    scopus 로고
    • 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 scopus 로고    scopus 로고
    • note
    • 8) is obtained.
  • 60
    • 0008494528 scopus 로고
    • 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 scopus 로고
    • 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 scopus 로고
    • 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


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.