Almost periodicity and periodicity for nonautonomous random dynamical systems

被引：8

作者：

de Fitte, Paul Raynaud ^{[1
]}

机构：

[1] Normandie Univ, Lab Raphael Salem, UMR CNRS 6085, Rouen, France

来源：

STOCHASTICS AND DYNAMICS | 2021年 / 21卷 / 06期

关键词：

Metric dynamical system; random dynamical system; crude cocycle; nonautonomous dynamical system; stochastic partial differential equation; almost periodic; DIFFERENTIAL-EQUATIONS;

D O I：

10.1142/S0219493721500349

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

We present a notion of almost periodicity which can be applied to random dynamical systems as well as almost periodic stochastic differential equations in Hilbert spaces (abstract stochastic partial differential equations). This concept allows for improvements of known results of almost periodicity in distribution, for general random processes and for solutions to stochastic differential equations.

引用

页数：34

共 50 条

[11] Almost minimal systems and periodicity in hyperspaces
Fernandez, Leobardo
Good, Chris
Puljiz, Mate
ERGODIC THEORY AND DYNAMICAL SYSTEMS, 2018, 38 : 2158 - 2179
[12] Pure point spectrum for dynamical systems and mean, Besicovitch and Weyl almost periodicity
Lenz, Daniel
Spindeler, Timo
Strungaru, Nicolae
ERGODIC THEORY AND DYNAMICAL SYSTEMS, 2024, 44 (02) : 524 - 568
[13] LEFT ALMOST PERIODICITY DOES NOT IMPLY RIGHT ALMOST PERIODICITY
WU, TS
BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1966, 72 (02) : 314 - &
[14] Convergence dynamics and pseudo almost periodicity of a class of nonautonomous RFDEs with applications
Fan, M
Ye, D
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2005, 309 (02) : 598 - 625
[15] Pseudo-almost periodicity of some nonautonomous evolution equations with delay
Ding, Hui-Sheng
Liang, Jin
N'Gurkata, Gaston M.
Xiao, Ti-Jun
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2007, 67 (05) : 1412 - 1418
[16] A sufficient condition for almost periodicity of solutions of nonautonomous nonlinear evolution equations
Aulbach, B
Van Minh, N
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2002, 51 (01) : 145 - 153
[17] NEAR PERIODICITY IN DYNAMICAL-SYSTEMS
CHEN, WC
SCIENCE IN CHINA SERIES A-MATHEMATICS, 1995, 38 (07): : 769 - 776
[18] Chaos, periodicity and complexity on dynamical systems
Balibrea, Francisco
CHAOS, NONLINEARITY, COMPLEXITY: THE DYNAMICAL PARADIGM OF NATURE, 2006, 206 : 1 - 52
[19] Almost automorphy and almost periodicity
Shen, WX
Yi, YF
MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY, 1998, 136 (647) : 1 - +
[20] ALMOST PERIODICITY OF BOUNDED SOLUTIONS TO NONLINEAR SYSTEMS
CHERESIZ, VM
DOKLADY AKADEMII NAUK SSSR, 1967, 173 (02): : 275 - &

← 1 2 3 4 5 →