Effect of node-degree correlation on synchronization of identical pulse-coupled oscillators

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 81, Issue 4, 2010, Pages

  Lamar, M Drew ^a   Smith, Gregory D ^a  

^a The College of William and Mary   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CORRELATED NODE DEGREES; DECREASING FUNCTIONS; DEGREE CORRELATION; DIRECTED NETWORK; EIGENVALUES; FAST TRANSITION; FINITE TIME; INCREASING FUNCTIONS; INITIAL CONDITIONS; LAPLACIAN MATRICES; NETWORK TOPOLOGY; NUMERICAL EXPERIMENTS; ON DYNAMICS; PULSE-COUPLED OSCILLATORS; STANDARD DEVIATION; SYNCHRONOUS STATE;

CORRELATION METHODS; EIGENVALUES AND EIGENFUNCTIONS; ELECTRIC NETWORK TOPOLOGY; OSCILLATORS (MECHANICAL); SYNCHRONIZATION;

OSCILLATORS (ELECTRONIC);

EID: 77951126807     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.81.046206     Document Type: Article

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41. -1] (Φ+ 1a), where ε is a small positional displacement (Ref.). If we choose ε = log a+1 (1+ε ), then we have the affine linear PRC Δ (Φ) =Φ (Φ+ 1 a ), which is approximated by Eq. when a is large. In addition, PRCs for the leaky integrate-and-fire neuron model are approximately affine linear when the ratio of the oscillator period and membrane time constant is small (Ref.).