메뉴 건너뛰기




Volumn , Issue , 2000, Pages 1-12

Periodic orbits and the global attractor for delayed monotone negative feedback

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0012959514     PISSN: 14173875     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (16)

References (24)
  • 1
    • 0000005142 scopus 로고
    • A note on "The Discrete Lyapunov Function ..."
    • O. Arino, A note on "The Discrete Lyapunov Function ...", J. Differential Equations 104 (1993), 1169-181.
    • (1993) J. Differential Equations , vol.104 , pp. 1169-1181
    • Arino, O.1
  • 2
    • 0001640367 scopus 로고
    • The discrete Lyapunov function for scalar delay differential equations
    • Y. Cao, The discrete Lyapunov function for scalar delay differential equations, J. Differential Equations 87 (1990), 365-390.
    • (1990) J. Differential Equations , vol.87 , pp. 365-390
    • Cao, Y.1
  • 3
    • 0030578131 scopus 로고    scopus 로고
    • Uniqueness of periodic solution for differential delay equations
    • Y. Cao, Uniqueness of periodic solution for differential delay equations, J. Differential Equations 128 (1996), 46-57.
    • (1996) J. Differential Equations , vol.128 , pp. 46-57
    • Cao, Y.1
  • 4
    • 3042525532 scopus 로고    scopus 로고
    • Connecting orbits from synchronous periodic solutions to phase-locked periodic solutions in a delay differential system
    • to appear
    • Y. Chen, T. Krisztin and J. Wu, Connecting orbits from synchronous periodic solutions to phase-locked periodic solutions in a delay differential system, J. Differential Equations, to appear.
    • J. Differential Equations
    • Chen, Y.1    Krisztin, T.2    Wu, J.3
  • 5
    • 3042525533 scopus 로고    scopus 로고
    • On a network of two neurons with delay: Existence and attraction of phase-locked oscillation
    • to appear
    • Y. Chen and J. Wu, On a network of two neurons with delay: existence and attraction of phase-locked oscillation, Advances in Differential Equations, to appear.
    • Advances in Differential Equations
    • Chen, Y.1    Wu, J.2
  • 7
    • 0001852665 scopus 로고
    • Connections between Morse sets for delay differential equations
    • B. Fiedler and J. Mallet-Paret, Connections between Morse sets for delay differential equations, J. reine angew. Math. 397 (1989), 23-41.
    • (1989) J. Reine Angew. Math. , vol.397 , pp. 23-41
    • Fiedler, B.1    Mallet-Paret, J.2
  • 9
    • 3042627720 scopus 로고    scopus 로고
    • Unstable sets of periodic orbits and the global attractor for delayed feedback
    • to appear
    • T. Krisztin, Unstable sets of periodic orbits and the global attractor for delayed feedback, Fields Institute Communications, to appear.
    • Fields Institute Communications
    • Krisztin, T.1
  • 10
    • 84901853796 scopus 로고    scopus 로고
    • Unique periodic orbits for delayed positive feedback and the global attractor
    • to appear
    • T. Krisztin and H.-O. Walther, Unique periodic orbits for delayed positive feedback and the global attractor, J. Dynamics and Differential Equations, to appear.
    • J. Dynamics and Differential Equations
    • Krisztin, T.1    Walther, H.-O.2
  • 13
    • 22444452217 scopus 로고    scopus 로고
    • Erratic solutions of simple delay equations
    • B. Lani-Wayda, Erratic solutions of simple delay equations, Trans. Amer. Math. Soc. 351 (1999), 901-945.
    • (1999) Trans. Amer. Math. Soc. , vol.351 , pp. 901-945
    • Lani-Wayda, B.1
  • 14
    • 0017714604 scopus 로고
    • Oscillation and chaos in physiological control systems
    • M.C. Mackey and L. Glass, Oscillation and chaos in physiological control systems, Science 197 (1977), 287-289.
    • (1977) Science , vol.197 , pp. 287-289
    • Mackey, M.C.1    Glass, L.2
  • 15
    • 0000226142 scopus 로고
    • Morse decompositions for differential delay equations
    • J. Mallet-Paret, Morse decompositions for differential delay equations, J. Differential Equations 72 (1988), 270-315.
    • (1988) J. Differential Equations , vol.72 , pp. 270-315
    • Mallet-Paret, J.1
  • 16
    • 0030102662 scopus 로고    scopus 로고
    • Systems of differential delay equations: Floquet multipliers and discrete Lyapunov functions
    • J. Mallet-Paret and G. Sell, Systems of differential delay equations: Floquet multipliers and discrete Lyapunov functions, J. Differential Equations 125 (1996), 385- 440.
    • (1996) J. Differential Equations , vol.125 , pp. 385-440
    • Mallet-Paret, J.1    Sell, G.2
  • 17
    • 0030102885 scopus 로고    scopus 로고
    • The Poincaré-Bendixson theorem for monotone cyclic feedback systems with delay
    • J. Mallet-Paret and G. Sell, The Poincaré-Bendixson theorem for monotone cyclic feedback systems with delay, J. Differential Equations 125 (1996), 441-489.
    • (1996) J. Differential Equations , vol.125 , pp. 441-489
    • Mallet-Paret, J.1    Sell, G.2
  • 19
    • 0000256610 scopus 로고
    • Stability of analog neural networks with delay
    • C.M. Marcus and R.M. Westerwelt, Stability of analog neural networks with delay, Phys. Rev. A 39 (1989), 347-356.
    • (1989) Phys. Rev. A , vol.39 , pp. 347-356
    • Marcus, C.M.1    Westerwelt, R.M.2
  • 20
    • 0030503977 scopus 로고    scopus 로고
    • On the global dynamics of attractors for scalar delay equations
    • C. McCord and K. Mischaikow, On the global dynamics of attractors for scalar delay equations, J. Amer. Math. Soc. 9 (1996), 1095-1133.
    • (1996) J. Amer. Math. Soc. , vol.9 , pp. 1095-1133
    • McCord, C.1    Mischaikow, K.2
  • 22
    • 3042574339 scopus 로고
    • A differential delay equation with a planar attractor
    • Université Cadi Ayyad, Marrakech
    • H.-O. Walther, A differential delay equation with a planar attractor, in Proc. of the Int. Conf. on Differential Equations, Université Cadi Ayyad, Marrakech, 1991.
    • (1991) Proc. of the Int. Conf. on Differential Equations
    • Walther, H.-O.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.