메뉴 건너뛰기




Volumn 42, Issue 3, 2009, Pages 1854-1859

Mechanism of long transient oscillations in cyclic coupled systems

Author keywords

[No Author keywords available]

Indexed keywords

HOPF BIFURCATION; OPERATIONAL AMPLIFIERS;

EID: 67650450880     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.chaos.2009.03.103     Document Type: Article
Times cited : (6)

References (28)
  • 1
    • 0034511090 scopus 로고    scopus 로고
    • Dynamics of a hybrid system of a brain neural network and an artificial nonlinear oscillators
    • Katayama N., Nakao M., Saitoh H., and Yamamoto M. Dynamics of a hybrid system of a brain neural network and an artificial nonlinear oscillators. BioSystems 58 (2000) 249
    • (2000) BioSystems , vol.58 , pp. 249
    • Katayama, N.1    Nakao, M.2    Saitoh, H.3    Yamamoto, M.4
  • 2
    • 51249169446 scopus 로고
    • Coupled nonlinear oscillators and the symmetries of animal gaits
    • Collins J.J., and Stewart I. Coupled nonlinear oscillators and the symmetries of animal gaits. J Nonlinear Sci 3 (1993) 349
    • (1993) J Nonlinear Sci , vol.3 , pp. 349
    • Collins, J.J.1    Stewart, I.2
  • 3
    • 33745000977 scopus 로고    scopus 로고
    • Noise-resistant and synchronized oscillation of segmentation clock
    • Horikawa K., Ishimatsu K., Yoshimoto E., Kondo S., and Takeda H. Noise-resistant and synchronized oscillation of segmentation clock. Nature 441 (2006) 719
    • (2006) Nature , vol.441 , pp. 719
    • Horikawa, K.1    Ishimatsu, K.2    Yoshimoto, E.3    Kondo, S.4    Takeda, H.5
  • 4
    • 38349061594 scopus 로고    scopus 로고
    • Stochastic synchronization of genetic oscillator networks
    • Li C., Chen L., and Aihara K. Stochastic synchronization of genetic oscillator networks. BMC Syst Biol 1 6 (2007)
    • (2007) BMC Syst Biol , vol.1 , Issue.6
    • Li, C.1    Chen, L.2    Aihara, K.3
  • 5
    • 67650355675 scopus 로고    scopus 로고
    • Huang MC, Huang YT, Wu JW, Chung TS. Potential for regulatory networks of gene expression near a stable point. arXiv:0710.3837v1; 2007.
    • Huang MC, Huang YT, Wu JW, Chung TS. Potential for regulatory networks of gene expression near a stable point. arXiv:0710.3837v1; 2007.
  • 6
    • 0141455111 scopus 로고    scopus 로고
    • Chaotic itineracy
    • Kaneko K., and Tsuda I. Chaotic itineracy. Chaos 13 (2003) 926
    • (2003) Chaos , vol.13 , pp. 926
    • Kaneko, K.1    Tsuda, I.2
  • 7
    • 0000130634 scopus 로고
    • A new intermittency in coupled dynamical systems
    • Fujisaka H., and Yamada T. A new intermittency in coupled dynamical systems. Prog Theor Phys 74 3 (1985) 918
    • (1985) Prog Theor Phys , vol.74 , Issue.3 , pp. 918
    • Fujisaka, H.1    Yamada, T.2
  • 8
    • 0000130635 scopus 로고
    • Stability theory of synchronized motion in coupled-oscillator systems. iv
    • Fujisaka H., and Yamada T. Stability theory of synchronized motion in coupled-oscillator systems. iv. Prog Theor Phys 75 5 (1986) 1087
    • (1986) Prog Theor Phys , vol.75 , Issue.5 , pp. 1087
    • Fujisaka, H.1    Yamada, T.2
  • 9
    • 67650380012 scopus 로고    scopus 로고
    • Kirst C, Timme M. Bifurcation from networks of unstable attractors to heteroclinic switching. arXiv:0709.3432v1; 2007.
    • Kirst C, Timme M. Bifurcation from networks of unstable attractors to heteroclinic switching. arXiv:0709.3432v1; 2007.
  • 10
    • 23444449126 scopus 로고    scopus 로고
    • Unstable attractors: existence and robustness in networks of oscillators with delayed pulse coupling
    • Ashwin P., and Timme M. Unstable attractors: existence and robustness in networks of oscillators with delayed pulse coupling. Nonlinearity 18 (2005) 2035
    • (2005) Nonlinearity , vol.18 , pp. 2035
    • Ashwin, P.1    Timme, M.2
  • 11
    • 0032482432 scopus 로고    scopus 로고
    • Collective dynamics of small-world networks
    • Watts D.J., and Strogatz S.H. Collective dynamics of small-world networks. Nature 393 (1998) 440
    • (1998) Nature , vol.393 , pp. 440
    • Watts, D.J.1    Strogatz, S.H.2
  • 12
    • 0038483826 scopus 로고    scopus 로고
    • Emergence of scaling in random networks
    • Barabási A.L., and Albert R. Emergence of scaling in random networks. Science 286 (1999) 509
    • (1999) Science , vol.286 , pp. 509
    • Barabási, A.L.1    Albert, R.2
  • 13
    • 5344273683 scopus 로고
    • Supertransients, spatiotemporal intermittency and stability of fully developed spatiotemporal chaos
    • Kaneko K. Supertransients, spatiotemporal intermittency and stability of fully developed spatiotemporal chaos. Phys Lett 149 (1990) 105
    • (1990) Phys Lett , vol.149 , pp. 105
    • Kaneko, K.1
  • 14
    • 0022364842 scopus 로고
    • The behavior of rings of coupled oscillators
    • Ermentrout G.B. The behavior of rings of coupled oscillators. J Math Biol 23 (1985) 55
    • (1985) J Math Biol , vol.23 , pp. 55
    • Ermentrout, G.B.1
  • 15
  • 16
    • 0030168272 scopus 로고    scopus 로고
    • Limit cycles of one-dimensional neural networks with the cyclic connection matrix
    • Park C.Y., Hayakawa Y., Nakajima K., and Sawada Y. Limit cycles of one-dimensional neural networks with the cyclic connection matrix. IEICE Trans Fundam E79-A 6 (1996) 752
    • (1996) IEICE Trans Fundam , vol.E79-A , Issue.6 , pp. 752
    • Park, C.Y.1    Hayakawa, Y.2    Nakajima, K.3    Sawada, Y.4
  • 18
    • 0033713644 scopus 로고    scopus 로고
    • Bifurcation and chaotic attractor in a neural oscillator with three analog neurons
    • Nakamura Y., and Kawakami H. Bifurcation and chaotic attractor in a neural oscillator with three analog neurons. Electron Commun Jpn 83 9 (2000) 104
    • (2000) Electron Commun Jpn , vol.83 , Issue.9 , pp. 104
    • Nakamura, Y.1    Kawakami, H.2
  • 21
    • 67650398485 scopus 로고    scopus 로고
    • Gait control for a legged robot using neural networks with dynamically-rearranging function
    • [in Japanese]
    • Fujii A., Ishiguro A., Uchikawa Y., Aoki T., and Eggenberger P. Gait control for a legged robot using neural networks with dynamically-rearranging function. IEEJ Trans 119-C 12 (1999) 1567 [in Japanese]
    • (1999) IEEJ Trans , vol.119 -C , Issue.12 , pp. 1567
    • Fujii, A.1    Ishiguro, A.2    Uchikawa, Y.3    Aoki, T.4    Eggenberger, P.5
  • 22
    • 0032878925 scopus 로고    scopus 로고
    • A coupled neural oscillator model for recruitment and annihilation of the degrees of freedom of oscillatory movements
    • Nagashino H., Kataoka M., and Kinouchi Y. A coupled neural oscillator model for recruitment and annihilation of the degrees of freedom of oscillatory movements. Neurocomputing 26-27 (1999) 455
    • (1999) Neurocomputing , vol.26-27 , pp. 455
    • Nagashino, H.1    Kataoka, M.2    Kinouchi, Y.3
  • 23
    • 0035384011 scopus 로고    scopus 로고
    • A neural network model for quadruped gait generation and transitions
    • Nagashino H., Nomura Y., and Kinouchi Y. A neural network model for quadruped gait generation and transitions. Neurocomputing 38-40 (2001) 1469
    • (2001) Neurocomputing , vol.38-40 , pp. 1469
    • Nagashino, H.1    Nomura, Y.2    Kinouchi, Y.3
  • 25
    • 0009554781 scopus 로고
    • Analysis and synthesis of continuous-time hysteretic neural networks
    • Jinno K., and Saito T. Analysis and synthesis of continuous-time hysteretic neural networks. IEICE Trans Fundam J75-A 3 (1992) 552
    • (1992) IEICE Trans Fundam , vol.J75-A , Issue.3 , pp. 552
    • Jinno, K.1    Saito, T.2
  • 26
    • 0029410754 scopus 로고
    • Dynamics and bifurcation of two coupled neural oscillators with different connection types
    • Borisyuk G.N., Borisyuk R.M., Khibnik A.I., and Roose D. Dynamics and bifurcation of two coupled neural oscillators with different connection types. Bull Math Biol 57 6 (1995) 809
    • (1995) Bull Math Biol , vol.57 , Issue.6 , pp. 809
    • Borisyuk, G.N.1    Borisyuk, R.M.2    Khibnik, A.I.3    Roose, D.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.