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Introduction to the Modeling and Analysis of Complex Systems

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476 INDEXlinear system, 36linearization, 90link, 295, 296local bifurcation, 131logistic growth, 54, 105logistic map, 80, 152long tail, 355long-range inhibition, 202Lorenz attrac<strong>to</strong>r, 164Lorenz equations, 162Lotka-Volterra model, 58, 107, 114Louvain method, 400Lyapunov exponent, 157Lyapunov stable, 94machine learning, 8majority rule, 190, 326matplotlib, 42matrix exponential, 120matrix spectrum, 408Mat<strong>the</strong>w effect, 354mean field, 215mean-field approximation, 215, 416mesoscopic property, 400mode, 83model, 13modeling, 13modularity, 400moment closure, 426Monte Carlo simulation, 207multi-layer cellular au<strong>to</strong>mata, 200multigraph, 302multiple edges, 302multiplex network, 340n-partite graph, 300nabla, 230negative assortativity, 397neighbor, 297neighbor degree distribution, 421neighbor detection, 436neighborhood, 186network, 8, 76, 295, 296network analysis, 377network density, 371network growth, 354network model, 295network percolation, 372, 376network r<strong>and</strong>omization, 323network science, 24, 295network size, 371network <strong>to</strong>pology, 296NetworkX, 76, 303neuron, 143neutral center, 94, 126no boundaries, 189node, 295, 296node strength, 302non-au<strong>to</strong>nomous system, 37non-diagonalizable matrix, 83non-quiescent state, 189nonlinear dynamics, 6nonlinear system, 6, 36nonlinearity, 6nullcline, 113numerical integration, 104Occam’s razor, 21order parameter, 200Oregona<strong>to</strong>r, 263organized complexity, 4out-degree centrality, 381PageRank, 382pair approximation, 426parity rule, 191

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