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Volumn 10, Issue 4, 2004, Pages 925-940

A nonlocal eigenvalue problem for the stability of a traveling wave in a neuronal medium

Author keywords

Eigenvalues; Integrodifferential equations; Neuronal dynamics; Nonlocal equations; Stability; Traveling wave

Indexed keywords


EID: 2942668768     PISSN: 10780947     EISSN: None     Source Type: Journal    
DOI: 10.3934/dcds.2004.10.925     Document Type: Article
Times cited : (11)

References (16)
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  • 5
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    • Parabolic bursting in an excitable system coupled with a slow oscillation
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    • Ermentrout, G.B.1    Kopell, N.2
  • 6
    • 0005832594 scopus 로고    scopus 로고
    • Effects of delay on the type and velocity of travelling pulses in neuronal networks with spatially decaying connectivity
    • D. Golomb and G.B. Ermentrout. Effects of delay on the type and velocity of travelling pulses in neuronal networks with spatially decaying connectivity. Network: Comput. Neural Syst., 11:221-246, 2000.
    • (2000) Network: Comput. Neural Syst. , vol.11 , pp. 221-246
    • Golomb, D.1    Ermentrout, G.B.2
  • 8
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    • personal communication
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    • Howard, P.1
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    • Class 1 neural excitability, conventional synapses, weakly connected networks, and mathematical foundations of pulse-coupled models
    • E. Izhikevich. Class 1 neural excitability, conventional synapses, weakly connected networks, and mathematical foundations of pulse-coupled models. IEEE Trans. Neural Networks, 10:499-507, 1999.
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    • Izhikevich, E.1
  • 12
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    • The evolution of synaptically generated waves in one- and two-dimensional domains
    • R. Oşan and B. Ermentrout. The evolution of synaptically generated waves in one- and two-dimensional domains. Physica D, 163:217-235, 2002.
    • (2002) Physica D , vol.163 , pp. 217-235
    • Oşan, R.1    Ermentrout, B.2
  • 13
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    • Regular traveling waves in a one-dimensional network of theta neurons
    • R. Oşan, J. Rubin, and B. Ermentrout. Regular traveling waves in a one-dimensional network of theta neurons. SIAM J. Appl. Math., 62:1197-1221, 2002.
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  • 14
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    • Stability of traveling waves
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    • B. Sandstede. Stability of traveling waves. In Handbook of Dynamical Systems, Vol. 2, B. Fiedler, ed., North-Holland, Amsterdam, 2002.
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.