Index 733 tangent vectors to a manifold, 719 tent map, 316, 359, 443 tent map of slope r, 384, 455 ternary expansion, 438 test function, 191, 219 time plot of the solution, 22 time-dependent differential equation, 85, 91, 257, 317, 352 linear differential equation, 49, 59, 83, 103, 165, 248, 282, 324 topological conjugacy, 407 topological Markov chain, 471 topologically conjugate, 167, 407, 595 topologically equivalent, 167 topologically transitive, 287, 439, 492 totally disconnected, 711 trace, 63, 713 trajectory, 80 transition graph, 428 irreducible, 468 transition matrix, 471 transitive, 287, 439, 492 transpose, 12, 713 transversal, 217, 231, 254 transverse, 636 transverse manifolds, 719 trapping region, 286, 304, 492, 640 Tresser, C., xix, 400 Tucker, W., xx, 297 Ueda, Y., xx unemployment, 54 uniformly hyperbolic, 682 unstable, 115 periodic orbit, 256 unstable eigenspace, 573 unstable focus, 552 unstable manifold, 115, 135, 138, 570 unstable node, 27 linear map, 547 unstable periodic point, 368, 555 unstable subspace, 139 Van der Pol equation, 229, 264 Variation of parameters, 50 vector field for the system of equations, 95, 126 Volterra, V., xix volume change, 247, 281 waterwheel model of Lorenz equations, 332 weakly attracting, 123, 187 weakly repelling fixed point, 124 Williams, R., 311, 495 word, 430 Wronskian, 15 Xia, Z., 663 Yakubu, A.A., 589 Yorke, J., xviii, 293, 424, 493, 498, 513, 530, 660, 680, 682

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