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
ΣN
+
, 442
ΣG
+
, 468
χS(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
enon, 646
Lorenz, 304, 306
Milnor, 289, 494
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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