Index C1, 367, 705 C∞, 167, 367, 558, 705, 706 Cr, 167, 367, 558, 705, 706 DF(x), 137 L−1(C), 174 O(xk), 89, 394 W s (0), 128 W s (x∗), 115 W u (x∗), 115 Fix(f), 356 Per(n, f), 356 Σ2, 603, 604 Σ+ N , 442 ΣG + , 468 χ S (q), 516 ∈, 708 /, 708 B(p, r), 708 φ(t x0), 80 B(p, r), 708 d(p, S), 710 f n , 354 B(p, r), 286 uj, 82 Of + (x0), 355 OF(x0), 565 affinely conjugate, 407 Alekseev, V. M., xix Alligood, K., 513, 660 allowable string, 471 allowable symbol sequence, 468 α-limit set, 110, 565 Andronov–Hopf bifurcation, 213, 235 Anosov diffeomorphism, 575 Anosov, D.V., 575 aperiodic, 7, 521, 581 stochastic matrix, 581 transition matrix, 521 Arnold, V., xix asymptotically stable, 115, 368, 556 globally, 115, 128 orbitally, 214 atmospheric convection, 335 attracting, 6, 556 fixed point, 115, 119, 123 period-n point, 368 periodic orbit, 214, 256 attracting set, 287, 311, 640 attractor, 287, 311, 492, 640 chaotic, 293, 311, 492, 513, 641, 660 H´ enon, 646 Lorenz, 304, 306 Milnor, 289, 494 R¨ ossler, 313 solenoid, 642 test for chaotic, 329, 513, 660 transitive, 287, 492, 640 ball, 286 closed, 708 open, 286, 708 basic invariant set, 647, 665 basic invariant sets, 665 basin of attraction, 115, 128, 136, 139, 184, 366, 494, 571, 640 727
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