Spectral decomposition of the tent maps and the isomorphism of dynamical systems

被引：15

作者：

Antoniou, I ^{[1
]}

Qiao, B ^{[1
]}

机构：

[1] FREE UNIV BRUSSELS, B-1050 BRUSSELS, BELGIUM

来源：

PHYSICS LETTERS A | 1996年 / 215卷 / 5-6期

关键词：

D O I：

10.1016/0375-9601(96)00104-1

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We construct a generalized spectral decomposition of the family of tent maps. Comparison with the Renyi maps shows that isomorphic systems may have different rates of approach to equilibrium. We propose therefore a natural isomorphism of dynamical systems on the basis of the identity of spectra in rigged Hilbert space.

引用

页码：280 / 290

页数：11

共 50 条

[41] A Quantum Version of Spectral Decomposition Theorem of dynamical systems, quantum chaos hierarchy: Ergodic, mixing and exact
Gomez, Ignacio
Castagnino, Mario
[J]. CHAOS SOLITONS & FRACTALS, 2015, 70 : 99 - 116
[42] KNEADING SEQUENCES OF SKEW TENT MAPS
MISIUREWICZ, M
VISINESCU, E
[J]. ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES, 1991, 27 (01): : 125 - 140
[43] INTERMITTENCY FOR TENT MAPS IS EXACTLY CALCULABLE
JETSCHKE, G
STIEWE, C
[J]. PHYSICS LETTERS A, 1985, 112 (6-7) : 265 - 268
[44] On the classification of inverse limits of tent maps
Block, L
Jakimovik, S
Kailhofer, L
Keesling, J
[J]. FUNDAMENTA MATHEMATICAE, 2005, 187 (02) : 171 - 192
[45] HIGHER DIMENSIONAL ANALOGS OF THE TENT MAPS
BOYARSKY, A
BYERS, W
GAUTHIER, P
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1987, 11 (11) : 1317 - 1324
[46] Parrondo's Paradox for Tent Maps
Canovas, Jose S.
[J]. AXIOMS, 2021, 10 (02)
[47] Periodic Points of Skew Tent Maps
Chen, Kai
Shi, Yong-Guo
Xu, Bing
[J]. JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS, 2023, 29 (02) : 443 - 454
[48] Periodic Points of Skew Tent Maps
Kai Chen
Yong-Guo Shi
Bing Xu
[J]. Journal of Dynamical and Control Systems, 2023, 29 : 443 - 454
[49] A spectral decomposition of the attractor of piecewise-contracting maps of the interval
CALDERON, A. L. F. R. E. D. O.
CATSIGERAS, E. L. E. O. N. O. R. A.
GUIRAUD, P. I. E. R. R. E.
[J]. ERGODIC THEORY AND DYNAMICAL SYSTEMS, 2021, 41 (07) : 1940 - 1960
[50] Decomposition dynamical systems for solving variational inequalities
Hai, Trinh Ngoc
[J]. OPTIMIZATION, 2023, 72 (03) : 883 - 903

← 1 2 3 4 5 →