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West Th. (Ed) — Continuum Theory and Dynamical Systems, Vol. 149
West Th. (Ed) — Continuum Theory and Dynamical Systems, Vol. 149

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Название: Continuum Theory and Dynamical Systems, Vol. 149

Автор: West Th. (Ed)

Аннотация:

Based on the conference/workshop on Continuum Theory and Dynamical Systems held in Lafayette, Louisiana, this reference illustrates the current expansion of knowledge on the relationship between these subjects. It presents new problems in hyperspaces, induced maps, universal maps, fixed-point sets, disconnected numbers and quotient maps. Explaining the definitions and techniques used in the two fields and providing results from both areas, this volume: examines prime end (accessible) rotation numbers for chaotic sets and Henon maps; discussed the connection between the rotation shadowing property and the structure of the rotation set for annulus homeomorphisms; offers a Nielson-type theorum concerning the minimum number of fixed points for an area preserving homeomorphism of the two disc; constructs a closed unit disc that admits many inequivalent homeomorphisms that are Denjoy on the boundary and distinct irrational rotations on the interior; gives a geometric description of a horseshoe-type mapping of a plane disc into itself whose attracting set is not chainable; and considers semigroups generated by maps topologically conjugate to contractions. Written by experts who provide a cross-disciplinary perspective, this volume is intended for applied mathematicians, topologists, geomesters, physicists and graduate-level students in these disciplines.


Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1993

Количество страниц: 312

Добавлена в каталог: 29.03.2008

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
$2^X$      202
$D^{S}(G)$      240
$\alpha$-chain transitive      39
$\alpha$-invariant      39
$\delta$-chain      35
$\delta$-pseudo orbit      35 93
$\omega$-chaotic      95
$\omega$-limit point      90
$\omega$-scrambled      94
$\phi$ conjugate of A      135
Accessible      1 17 190
Accessible composant      269
Accessible in M      256
Accessible point      269
Accessible rotation number      1
Accessible with respect to the domain      63
Accessible with respect to the prime ends      63
Accessing arc      17
Admissible vertex map      111
Affine topological contraction      122
Affine transformation      121
AH-essential      202
Alexander's Isotopy Lemma      44
Almost periodic      62 63 79 80
Almost periodic point      90
Arc of accessibility to b      63
Arclike      174
Arcwise connected      235
Area preserving homeomorphism      43 44
Attracted      159
Attracting      272
Attracting neighborhood      45
Attracting set      17 103
Basic repetitive unit      67 68
Basin of attraction      159
Bonding maps      102
Brouwer Translation Arc Lemma      48
C(X)      202
C(X)-selection continuum      206
C-set      204
Cantor set      263
Chain      244
Chain recurrent      17
Chain-connected      244 256
Chain-transitive      15 17 36 39
Chainable      93
Chains in U      256
Chaos      89
Chaotic attractor      1
Chaotic in X      94
Chaotic map      94
Chaotic set      94
CIP      211
Circle of prime ends      16
Circlelike      174
Class($\hat{U}$)      207
Class(Q)      222
Class(S)      204
Cofrontier      52 60 81 183 184 277
Compact semigroup      114
Complete invariance property      209
Composant      186 269
Conjugacy      102
Conjugate mappings      101
Constant type      78
Continuum      60 100 201 277
Contraction      113
Cremer point      273
Cremer polynomial      273
Cross cuts      18 264
Cutting number for X      219
Decomposable continuum      93
Dendroid      231
Denjoy      18 52 183
Denjoy map      104
Derivative of f      121
Diophantine      273
Disconnection number      213 261
e-chain      17
e-MCIP      212
e-shadowing      93
Elongated horseshoe map      105
Equicontinuous      62 115
Equivalent      17 60
Ergodic      95
Exotic continuum      263
Fatou      263 272
Filled-in Julia set      274
Finitely irreducible      222
Fixed point      211
Fixed point set      209
Forced damped pendulum      159
Fractional part      68
Frechet manifold      244
Free arc      210
Free homeomorphism      45
Free modification      45
Generalized rotation number      61 62
Global attractor      154
Graph      213
H-map      103
Hawaiian disk      54
Henon      15 21
Henon attractor      22
Henon family of maps      5
Hereditarily indecomposable continuum      93 278
Horseshoe map      103
Hyperbolic arcs      47
Hyperbolic IFS      114
Identification map      222
IFS      114
Impression      63 264
Ind(h, C)      46
Indecomposable continuum      51 60 91 159 263 265 267 277
Induced homeomorphism      60 61
Inessential fixed point      45
Inessential neighborhood      45
Internal composant      271
Invariant set      130
Inverse limit      102 232
Inverse limit space      17 89
Inverse sequence      102
Julia set      263 272
K-composant      269
K-partition      244
Kernel      130
Kernel of the IFS      115
Knaster buckethandle      267
Knaster continuum      99
Knaster U-continuum      191
Lake-of-Wada channels      190
Length of g      120
Lift      35
Linear topological contraction      119
links      66
Local Siegal disk      51
Loosely embedded in X      244
Lozi map      84
MAP      202
MCIP      212
Metamorphis      4
MFPS(F)      212
Minimal homeomorphism      62 80
Minimal ideal      130
Minimal on A      184
Minimal under $f_{\alpha}$      79
Minimally invariant      184
Monotone      207
Neutral      272
Non-cut point      231
Nowhere locally compact      243
Orientation preserving homeomorphism      15 18 43 44
Parabolic point      272
Poincare return map      159 160
Positive topological entropy      89 93
Prime end      15 63 183 263
Prime end compactification      60
Prime end homeomorphism      18
Prime end rotation number      16 60 61
Prime end uniformization      184
Principal continuum      63
Principal saddles      5
Principal set      264
Pseudo-orbit      36
Pseudo-rotation interval      39
Pseudo-rotation set      39
Pseudo-shear      83
Pseudoarc      56 93 278
Pseudocircle      278
Pseudorotation      61 71 81 183 184
Q-manifold      244
Quasi-Lebesgue measure      49
Quotient map      222
Ray      190
Ray-composant      186
Recurrent      62 80 81 184
Recurrent point      90
Refines      245
Relection      206
Repelling      272
Repelling neighborhood      45
Repellor      45
Reversible      83
Right shift map      102
Rotary homoclinic tangency      6
Rotation interval      36
Rotation number      16 36 52 60 277
Rotation sequence      36
Rotation set      62
Rotation shadowing property      35 36
Semi-continuum      222
Semiconjugacy      102
Semiconjugate mappings      101
Sensitive dependence on initial conditions      94
Shadowing property      89 93
Shear map      37
Shift homeomorphism      17
Shift map      89
Siegel disk      183 263 272 273
Siegel Disk Problem      51 52
Siegel polynomial      273
Simple dense canals      190
Simple n-odd      205
Singular values      119
Smale horeshoe map      99 267
Snakelike      93
spans      66 68
Spectral raduis      118
Spiral map      37
Stable manifold      175
Stable value      202
Standard pseudorotation      71
Strange Attractor      15
Strong topological contraction      113
Strongly mixing      95
Subcontinuum      277
Subcontinuum disconnection number      240
Superattracting      272
Suslinean      231 238
Thumb disk      54
Topological entropy      89
Topologically equivalent      113
Topologically transitive      93 94
TREE      222
Triod      208
Uniformization      184
Universal      202 203
Universal covering space      35
Universal for G(n)      215
Unstable manifold      175
Wada property      158 160
Weak topological contraction      113
Weakly cut      219
Weakly mixing      95
Z-embedding      244
Z-semigroup      115
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