Spectral decomposition of piecewise linear monotonic maps

被引：9

作者：

Antoniou, I ^{[1
]}

Qiao, BI ^{[1
]}

机构：

[1] FREE UNIV BRUSSELS,INT SOLVAY INST CHEM,B-1050 BRUSSELS,BELGIUM

来源：

CHAOS SOLITONS & FRACTALS | 1996年 / 7卷 / 11期

关键词：

D O I：

10.1016/S0960-0779(96)00020-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We construct a generalized spectral decomposition of the Frobenius-Perron operator for one class of piecewise linear monotonic maps by using a general, iterative, operator method which is applicable in principle for any mixing dynamical system. The Jordan block structure is specified and analyzed. The eigenvalues in the decomposition are related to the decay rates of the correlation functions. We explicitly define appropriate generalized function spaces, which provide mathematical meaning to the spectral decomposition. Copyright (C) 1996 Elsevier Science Ltd.

引用

页码：1895 / 1911

页数：17

共 50 条

[41] Piecewise-linear soliton equations and piecewise-linear integrable maps
Quispel, GRW
Capel, HW
Scully, J
[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2001, 34 (11): : 2491 - 2503
[42] Piecewise linear maps with heterogeneous chaos
Saiki, Yoshitaka
Takahasi, Hiroki
Yorke, James A.
[J]. NONLINEARITY, 2021, 34 (08) : 5744 - 5761
[43] Piecewise linear model for tree maps
Baillif, M
de Carvalho, A
[J]. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2001, 11 (12): : 3163 - 3169
[44] Analysis of spatiotemporally periodic behavior in lattices of coupled piecewise monotonic maps
Chatterjee, N
Gupte, N
[J]. PHYSICAL REVIEW E, 2001, 63 (01):
[45] Computation of the anharmonic orbits in two piecewise monotonic maps with a single discontinuity
Li, Yurong
Du, Zhengdong
[J]. ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2017, 68 (01):
[46] Large deviation principle for piecewise monotonic maps with density of periodic measures
Chung, Yong Moo
Yamamoto, Kenichiro
[J]. ERGODIC THEORY AND DYNAMICAL SYSTEMS, 2023, 43 (03) : 861 - 872
[47] Computation of the anharmonic orbits in two piecewise monotonic maps with a single discontinuity
Yurong Li
Zhengdong Du
[J]. Zeitschrift für angewandte Mathematik und Physik, 2017, 68
[48] Spectral decomposition of Chebyshev maps
Qiao, B
Antoniou, I
[J]. PHYSICA A, 1996, 233 (1-2): : 449 - 457
[49] PIECEWISE LINEAR PATHS TO MINIMIZE CONVEX FUNCTIONS MAY NOT BE MONOTONIC
TODD, MJ
[J]. MATHEMATICAL PROGRAMMING, 1979, 17 (01) : 106 - 108
[50] A Decomposition Theorem for the Least Squares Piecewise Monotonic Data Approximation Problem
Demetriou, Ioannis C.
[J]. APPROXIMATION AND OPTIMIZATION: ALGORITHMS, COMPLEXITY AND APPLICATIONS, 2019, 145 : 119 - 134

← 1 2 3 4 5 →