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Volumn 5730 LNCS, Issue , 2009, Pages 163-179

Wavelet analysis of spike train in the fitzhugh model

Author keywords

Catastrophe; Haar wavelets; Phase space; Short Haar Wavelet Transform

Indexed keywords

CRITICAL VALUE; HAAR WAVELET TRANSFORM; HAAR WAVELETS; PHASE SPACES; SMOOTH FUNCTIONS; SPIKE TRAIN; WAVELET COEFFICIENTS;

EID: 76749162971     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/978-3-642-10649-1_10     Document Type: Conference Paper
Times cited : (1)

References (19)
  • 1
    • 53349102813 scopus 로고
    • Impulses and physiological states in theoretical models of nerve membrane
    • Fitzhugh, R.: Impulses and physiological states in theoretical models of nerve membrane. Biophys. Journal 1, 445-466 (1961)
    • (1961) Biophys. Journal , vol.1 , pp. 445-466
    • Fitzhugh, R.1
  • 2
    • 6344238035 scopus 로고
    • An active pulse transmission line simulating nerve axon
    • Nagumo, J., Arimoto, S., Yoshizawa, S.: An active pulse transmission line simulating nerve axon. Proc. Inst. Radio Eng. 50, 2061-2070 (1962)
    • (1962) Proc. Inst. Radio Eng , vol.50 , pp. 2061-2070
    • Nagumo, J.1    Arimoto, S.2    Yoshizawa, S.3
  • 3
    • 1342309671 scopus 로고    scopus 로고
    • Haar Wavelet based Technique for Sharp Jumps Classification
    • Cattani, C.: Haar Wavelet based Technique for Sharp Jumps Classification. Mathematical Computer Modelling 39, 255-279 (2004)
    • (2004) Mathematical Computer Modelling , vol.39 , pp. 255-279
    • Cattani, C.1
  • 4
    • 76749122907 scopus 로고    scopus 로고
    • Cattani, C.: Haar wavelets based technique in evolution problems. Proc. Estonian Acad. of Sciences, Phys. Math. 53(1), 45-63 (2004)
    • Cattani, C.: Haar wavelets based technique in evolution problems. Proc. Estonian Acad. of Sciences, Phys. Math. 53(1), 45-63 (2004)
  • 5
    • 33750701845 scopus 로고    scopus 로고
    • Wavelet approach to Stability of Orbits Analysis
    • Cattani, C.: Wavelet approach to Stability of Orbits Analysis. International Journal of Applied Mechanics 42(6), 136-142 (2006)
    • (2006) International Journal of Applied Mechanics , vol.42 , Issue.6 , pp. 136-142
    • Cattani, C.1
  • 6
    • 39149085813 scopus 로고    scopus 로고
    • Wavelet and Wave Analysis as applied to Materials with Micro or Nanostructure
    • World Scientific, Singapore
    • Cattani, C., Rushchitsky, J.J.: Wavelet and Wave Analysis as applied to Materials with Micro or Nanostructure. Advances in Mathematics for Applied Sciences, p. 74. World Scientific, Singapore (2007)
    • (2007) Advances in Mathematics for Applied Sciences , pp. 74
    • Cattani, C.1    Rushchitsky, J.J.2
  • 7
    • 54249143936 scopus 로고    scopus 로고
    • Wavelet Analysis of pulses in the Fitzhugh model
    • Gervasi, O, Murgante, B, Laganà, A, Taniar, D, Mun, Y, Gavrilova, M.L, eds, ICCSA 2008, Part I, Springer, Heidelberg
    • Cattani, C., Scalia, M.: Wavelet Analysis of pulses in the Fitzhugh model. In: Gervasi, O., Murgante, B., Laganà, A., Taniar, D., Mun, Y., Gavrilova, M.L. (eds.) ICCSA 2008, Part I. LNCS, vol. 5072, pp. 1191-1201. Springer, Heidelberg (2008)
    • (2008) LNCS , vol.5072 , pp. 1191-1201
    • Cattani, C.1    Scalia, M.2
  • 9
    • 20444400297 scopus 로고    scopus 로고
    • Identifying generalized FitzhughNagumo equation from a numerical solution of Hodgkin-Huxley model
    • Georgiev, N.V.: Identifying generalized FitzhughNagumo equation from a numerical solution of Hodgkin-Huxley model. Journal of Applied Mathematics, 397-407 (2003)
    • (2003) Journal of Applied Mathematics , vol.397-407
    • Georgiev, N.V.1
  • 10
    • 0000370809 scopus 로고
    • Bifurcation of the Hodgkin and Huxley equations: A new twist
    • Guckenheimer, J., Labouriau, I.S.: Bifurcation of the Hodgkin and Huxley equations: a new twist. Bull. Math. Biol., 937-952 (1993)
    • (1993) Bull. Math. Biol , vol.937-952
    • Guckenheimer, J.1    Labouriau, I.S.2
  • 11
    • 0017854654 scopus 로고    scopus 로고
    • Hassard, B.: Bifurcation of periodc solutions of the Hodgkin-Huxley model for the squid gain axon. J. Teor. Biol., 401-420 (1978)
    • Hassard, B.: Bifurcation of periodc solutions of the Hodgkin-Huxley model for the squid gain axon. J. Teor. Biol., 401-420 (1978)
  • 12
    • 77956707015 scopus 로고
    • Currents carried by sodium and potassium ions through the membrane of the giant axon of Loligo
    • Hodgkin, A.L., Huxley, A.F.: Currents carried by sodium and potassium ions through the membrane of the giant axon of Loligo. J. Physiol. 116, 449-472 (1952)
    • (1952) J. Physiol , vol.116 , pp. 449-472
    • Hodgkin, A.L.1    Huxley, A.F.2
  • 13
    • 76949125485 scopus 로고
    • The components of membrane conductance in the giant axon of Loligo
    • Hodgkin, A.L., Huxley, A.F.: The components of membrane conductance in the giant axon of Loligo. J. Physiol. 116, 473-496 (1952)
    • (1952) J. Physiol , vol.116 , pp. 473-496
    • Hodgkin, A.L.1    Huxley, A.F.2
  • 14
    • 77956677051 scopus 로고
    • The dual effect of membrane potential on sodium conductance in the giant axon of Loligo
    • Hodgkin, A.L., Huxley, A.F.: The dual effect of membrane potential on sodium conductance in the giant axon of Loligo. J. Physiol. 116, 497-506 (1952)
    • (1952) J. Physiol , vol.116 , pp. 497-506
    • Hodgkin, A.L.1    Huxley, A.F.2
  • 15
    • 0019310660 scopus 로고
    • Numerical calculation of stable and unstable solutions to the Hodgkin-Huxley equations
    • Rinzel, J., Miller, R.N.: Numerical calculation of stable and unstable solutions to the Hodgkin-Huxley equations. Math Biosci., 27-59 (1980)
    • (1980) Math Biosci , vol.27-59
    • Rinzel, J.1    Miller, R.N.2
  • 18
    • 24944584190 scopus 로고    scopus 로고
    • Practical Test Functions Generated by Computer Algorithms
    • Gervasi, O, Gavrilova, M.L, Kumar, V, Laganá, A, Lee, H.P, Mun, Y, Taniar, D, Tan, C.J.K, eds, ICCSA 2005, Springer, Heidelberg
    • Toma, G.: Practical Test Functions Generated by Computer Algorithms. In: Gervasi, O., Gavrilova, M.L., Kumar, V., Laganá, A., Lee, H.P., Mun, Y., Taniar, D., Tan, C.J.K. (eds.) ICCSA 2005. LNCS, vol. 3482, pp. 576-584. Springer, Heidelberg (2005)
    • (2005) LNCS , vol.3482 , pp. 576-584
    • Toma, G.1
  • 19
    • 33745854291 scopus 로고    scopus 로고
    • Analysis and control of the bifurcation of Hodgkin-Huxley model
    • Wang, J., Chen, L., Fei, X.: Analysis and control of the bifurcation of Hodgkin-Huxley model. Chaos, Solitons and Fractals, 247-256 (2007)
    • (2007) Chaos, Solitons and Fractals , vol.247-256
    • Wang, J.1    Chen, L.2    Fei, X.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.