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Volumn 22, Issue 4, 2012, Pages

Neurons are poised near the edge of chaos

Author keywords

Action potential; axons; basin of attraction; complexity; complexity function; edge of chaos; eigenvalues; Hodgkin Huxley axon; Hodgkin Huxley equations; Hopf bifurcation; limit cycles; local activity; memristor; neurons; spikes; stability; subcritical Hopf bifurcation; super critical Hopf bifurcation

Indexed keywords

BIFURCATION (MATHEMATICS); CONVERGENCE OF NUMERICAL METHODS; DIFFERENTIAL EQUATIONS; EIGENVALUES AND EIGENFUNCTIONS; JACOBIAN MATRICES; NEURONS; NONLINEAR EQUATIONS;

EID: 84860214648     PISSN: 02181274     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218127412500988     Document Type: Article
Times cited : (131)

References (18)
  • 3
    • 0018050487 scopus 로고
    • Nonlinear circuit theory
    • ed. Brayton, R. K. et al. (Georgi, St-Saphorin Switzerland)
    • Chua, L. O. [1978] "Nonlinear circuit theory," Modern Network Theory - An Introduction, ed. Brayton, R. K. et al. (Georgi, St-Saphorin Switzerland)
    • (1978) Modern Network Theory - An Introduction
    • Chua, L.O.1
  • 4
    • 0019079281 scopus 로고
    • Device modeling via basic nonlinear circuit elements
    • Chua, L. O. [1980] "Device modeling via basic nonlinear circuit elements," IEEE Trans. Circuits Syst. CAS-27, 1014-1044
    • (1980) IEEE Trans. Circuits Syst , vol.27 , pp. 1014-1044
    • Chua, L.O.1
  • 7
    • 32044437955 scopus 로고    scopus 로고
    • Local activity is the origin of complexity
    • Chua, L. O. [2005] "Local activity is the origin of complexity," Int. J. Bifurcation and Chaos 15, 3435-3456
    • (2005) Int. J. Bifurcation and Chaos , vol.15 , pp. 3435-3456
    • Chua, L.O.1
  • 8
    • 84859819160 scopus 로고    scopus 로고
    • Hodgkin- Huxley axon is made of memristors
    • Chua, L. O., Sbitnev, V. &Kim, H. [2012] "Hodgkin- Huxley axon is made of memristors," Int J. Bifurcation and Chaos 22, 1230011-1-48
    • (2012) Int J. Bifurcation and Chaos , vol.22 , pp. 12300111-12300148
    • Chua, L.O.1    Sbitnev, V.2    Kim, H.3
  • 11
    • 0017854654 scopus 로고
    • Bifurcation of periodic solutions of the hodgkin-huxley model for the squid giant axon
    • Hassard, B. [1978] "Bifurcation of periodic solutions of the Hodgkin-Huxley model for the squid giant axon," J. Theor. Biol. 71, 401-420
    • (1978) J. Theor. Biol , vol.71 , pp. 401-420
    • Hassard, B.1
  • 12
    • 35649001607 scopus 로고
    • A quantitative description of membrane current and its application to conduction and excitation in nerve
    • Hodgkin, A. L. &Huxley, A. F. [1952] "A quantitative description of membrane current and its application to conduction and excitation in nerve," J. Physiol. 117, 500-544.
    • (1952) J. Physiol , vol.117 , pp. 500-544
    • Hodgkin, A.L.1    Huxley, A.F.2
  • 15
    • 0004146634 scopus 로고
    • Cambridge University Press, London
    • Schrodinger, E. [1944] What is Life (Cambridge University Press, London)
    • (1944) What Is Life
    • Schrodinger, E.1
  • 16
    • 0004629610 scopus 로고
    • A mathematical model of two cells via Turing's equations
    • Smale, S. [1974] "A mathematical model of two cells via Turing's equations," Lectures in Applied Mathematics 6, 15-26
    • (1974) Lectures in Applied Mathematics , vol.6 , pp. 15-26
    • Smale, S.1
  • 18
    • 0035626982 scopus 로고    scopus 로고
    • Testing for local activity and edge of chaos
    • Yang, T. &Chua, L. O. [2001] "Testing for local activity and edge of chaos," Int. J. Bifurcation and Chaos 11, 1495-1591.
    • (2001) Int. J. Bifurcation and Chaos , vol.11 , pp. 1495-1591
    • Yang, T.1    Chua, L.O.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.