728 Index basis, 15, 544, 714 beetle, flour, 349, 586 Belickii Theorem, 596 Belousov–Zhabotinsky chemical reaction, xix, 263 Bendixson criterion, 248 Benedicks, M., 646 bifurcation, 232, 391 Andronov–Hopf, 235 homoclinic, 245 period doubling, 397 saddle-node, 392 subcritical, 233 supercritical, 233 tangential, 392 value, 232 bifurcation diagram, 392 bifurcation value, 391 binary expansion, 437 Birkhoff Transitivity Theorem, 539 Birkhoff, G. D., xviii, xix, 539 blood cells, 415, 536 Bonatti, C., 718 Borel measure, 515 Borel set, 515 boundary, 286, 481, 492, 708 bounded, 286, 709 bounding function, 191, 219, 222, 242 Bowen, R., 622 box dimension, 671 Brusselator, 224 butterfly effect, xx, 291, 453 BZ chemical reaction, 263 Cantor set, 316, 457, 482, 711 non-symmetric, 676, 685 positive measure, 679 capacity, 671 capital accumulation, 412, 534 Carleson,L., 646 Castillo–Ch´ avez, C., 589 Cauchy sequence, 712 celestial mechanics, xix center linear, 552 nonlinear, 170, 180 chain recurrent, 288, 493, 665 chaotic, xvii, 7, 470 chaotic attractor, 293, 492, 641 test, 329, 513, 660 chaotic invariant set, 492, 641 characteristic equation, 4, 543, 713 characteristic function, 516 characteristic multipliers, 256 chemostat, 152, 154 closed, 286, 481, 492, 709 closed ball, 708 closed orbit, 214 closure, 286, 492, 709 Cobb–Douglas production function, 346, 412, 534 cobweb method of iteration, 365 compact, 286, 710, 712 compartmental model, 53 competitive market, 134 competitive populations, 145 complete, 707, 712 complex eigenvalues, 29 conjugacy, 407 conjugate, 407, 595 Cr, 167, 595 Conley, C., 288, 665 connected, 710 conservative systems, 173 constant coefficients, 12 continuous, 705, 711 continuously differentiable, 367, 705 contraction, 385 constant, 686 correctly aligned M-rectangles, 613 correlation dimension, 681 Coullet, P., xix, 400 countable, 457 countably additive, 515 Cournot duopoly model, 58 critical point, 196, 386 cross section, 217 cutting, 454 damped harmonic oscillator, 3 damping, 183 degenerate stable node, 38 linear map, 550 degenerate unstable node linear map, 550 dense, 710 dense orbit, 439 dense periodic points, 447 density function, 517 derivative, 82, 137, 557, 706 determinant, 713 diabetes, 54 diagonal, 358 diagonal matrix, 714
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