Bifurcation analysis of a general class of nonlinear integrate-and-fire neurons

SIAM Journal on Applied Mathematics

Volumn 68, Issue 4, 2008, Pages 1045-1079

  Touboul, Jonathan ^a  

^a UNIVERSITÉ PARIS EST   (France)

Author keywords

Bautin bifurcation; Bogdanov Takens bifurcation; Dynamical system analysis; Hopf bifurcation; Neuron models; Nonlinear dynamics; Saddle homoclinic bifurcation; Saddle node bifurcation; Subthreshold neuron oscillations

Indexed keywords

BIFURCATION (MATHEMATICS); DYNAMICAL SYSTEMS; MILITARY OPERATIONS; NEUROLOGY; NEURONS; PHASE SPACE METHODS; SCHRODINGER EQUATION; TWO DIMENSIONAL;

ANDRONOV-HOPF BIFURCATION; BAUTIN BIFURCATION; BIFURCATION ANALYSIS; BIFURCATION DIAGRAMS; BOGDANOV-TAKENS BIFURCATION; BOGDANOV-TAKENS BIFURCATIONS; CODIMENSION-TWO; COMPUTATIONAL NEUROSCIENCE; COMPUTATIONALLY EFFICIENT; CORTICAL NEURONS; DYNAMICAL SYSTEM ANALYSIS; GENERAL CLASS; GLOBAL BIFURCATIONS; HOMOCLINIC BIFURCATIONS; IN-VITRO; IN-VIVO; INTEGRATE-AND-FIRE NEURONS; LOCAL BIFURCATIONS; NEURON MODELS; NONLINEAR DYNAMICS; PHASE SPACES; SADDLE HOMOCLINIC BIFURCATION; SADDLE-NODE BIFURCATION; SADDLE-NODE BIFURCATIONS; SUB THRESHOLDS; SUBTHRESHOLD NEURON OSCILLATIONS;

HOPF BIFURCATION;

EID: 49449110607     PISSN: 00361399     EISSN: None     Source Type: Journal    
DOI: 10.1137/070687268     Document Type: Article

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