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Volumn 7, Issue 4, 2001, Pages 737-745

Oscillation death in systems of oscillators with transferable coupling and time-delay

Author keywords

Exponential polynomial; Neural oscillator; Oscillation death; Stability; Time delay; Transferability

Indexed keywords


EID: 0035638952     PISSN: 10780947     EISSN: None     Source Type: Journal    
DOI: 10.3934/dcds.2001.7.737     Document Type: Article
Times cited : (4)

References (12)
  • 2
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    • Frequency plateaus in a chain of weakly coupled oscillators
    • Ermentrout, G.B.; Kopell, N. (1984): Frequency plateaus in a chain of weakly coupled oscillators. SIAM J. Math. Anal. 15, 215-237
    • (1984) SIAM J. Math. Anal. , vol.15 , pp. 215-237
    • Ermentrout, G.B.1    Kopell, N.2
  • 3
    • 0025388272 scopus 로고
    • Oscillator death in systems of coupled neural oscillators
    • Ermentrout, G.B.; Kopell, N. (1990): Oscillator death in systems of coupled neural oscillators. SIAM J. Math. 50, 125-146
    • (1990) SIAM J. Math. , vol.50 , pp. 125-146
    • Ermentrout, G.B.1    Kopell, N.2
  • 4
    • 0028416471 scopus 로고
    • Inhibition-produced patterning in chains of coupled nonlinear oscillators
    • Ermentrout, G.B.; Kopell, N. (1994): Inhibition-produced patterning in chains of coupled nonlinear oscillators. SIAM J. Appl. Math. 54(2), 478-507
    • (1994) SIAM J. Appl. Math. , vol.54 , Issue.2 , pp. 478-507
    • Ermentrout, G.B.1    Kopell, N.2
  • 5
    • 84990585743 scopus 로고
    • Symmetry and phase-locking in chains of weakly coupled oscillators
    • Kopell, N.; Ermentrout, G.B. (1986): Symmetry and phase-locking In chains of weakly coupled oscillators. Comm. Pure and Appl. Math. 39, 600-623
    • (1986) Comm. Pure and Appl. Math. , vol.39 , pp. 600-623
    • Kopell, N.1    Ermentrout, G.B.2
  • 6
    • 40749096575 scopus 로고
    • Coupled oscillators and the design of central pattern generators
    • Kopell, N.; Ermentrout, G.B. (1988): Coupled oscillators and the design of central pattern generators. Math. Bios. 90, 87-109
    • (1988) Math. Bios. , vol.90 , pp. 87-109
    • Kopell, N.1    Ermentrout, G.B.2
  • 7
    • 0025477416 scopus 로고
    • Phase transitions and other phenomena in chains of oscillators
    • Kopell, N.; Ermentrout, G.B. (1990a): Phase transitions and other phenomena in chains of oscillators. SIAM J. Appl. Math. 60, 1014-1052
    • (1990) SIAM J. Appl. Math. , vol.60 , pp. 1014-1052
    • Kopell, N.1    Ermentrout, G.B.2
  • 9
    • 0002971208 scopus 로고
    • On the zeros of some elementary transcendental fanctions
    • Pontryagin, L.S. (1955): On the zeros of some elementary transcendental fanctions. Amer. Math. Soc. Transl. Ser. 2. 1, 95-110 (Translated from: Izv. Akad. Nauk SSSR Sci. Mat. 6, 1942, 115-134)
    • (1955) Amer. Math. Soc. Transl. Ser. 2. , vol.1 , pp. 95-110
    • Pontryagin, L.S.1
  • 10
    • 0001435436 scopus 로고
    • Translated from
    • Pontryagin, L.S. (1955): On the zeros of some elementary transcendental fanctions. Amer. Math. Soc. Transl. Ser. 2. 1, 95-110 (Translated from: Izv. Akad. Nauk SSSR Sci. Mat. 6, 1942, 115-134)
    • (1942) Izv. Akad. Nauk SSSR Sci. Mat. , vol.6 , pp. 115-134
  • 11
    • 0346858760 scopus 로고
    • Oscillation death of chains of oscillators with multiple coupling
    • Zhang, W.; He, M. (1995): Oscillation death of chains of oscillators with multiple coupling. Mathematica Applicata 8, 333-338
    • (1995) Mathematica Applicata , vol.8 , pp. 333-338
    • Zhang, W.1    He, M.2
  • 12
    • 0035608901 scopus 로고    scopus 로고
    • Contracting return maps for monotone delayed feedback
    • Walther, Hans-Otto (2001): Contracting return maps for monotone delayed feedback. Discrete and Continuous Dynamical Systems, 7, 259-274.
    • (2001) Discrete and Continuous Dynamical Systems , vol.7 , pp. 259-274
    • Walther, H.-O.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.