Affine-periodic orbits for linear dynamical systems

被引：0

作者：

Yang, Xue ^{[1
,2
]}

Cheng, Ming ^{[1
]}

Li, Yong ^{[1
,2
]}

机构：

[1] Jilin Univ, Coll Math, Changchun 130012, Peoples R China

[2] Northeast Normal Univ, Ctr Math & Interdisciplinary Sci, Changchun 130024, Peoples R China

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2023年 / 46卷 / 06期

关键词：

fixed-point theorems; affine-periodic orbit; massera-type criterion; linear dynamical system; FUNCTIONAL-DIFFERENTIAL EQUATIONS; AUTOMORPHIC SOLUTIONS; NONLINEAR-SYSTEMS; MASSERA CRITERION; EXISTENCE; THEOREMS;

D O I：

10.1002/mma.8967

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We observe the relationship between forward bounded orbits and affine periodic orbits for infinite-dimensional linear dynamical systems and prove a Massera type criterion, which asserts that a forward bounded orbit implies the existence of affine periodic orbits. Such an affine-periodic orbit might be periodic, quasi(almost)-periodic, or spiral one. We also give an analog for hybrid (switching) discrete dynamical systems.

引用

页码：7230 / 7238

页数：9

共 42 条

[1]

Benkhalti R., 2000, DYNAM SYSTEMS APPL, V9, P221

[2] Almost periodic and almost automorphic solutions of linear differential/difference equations without Favard's separation condition. I [J].

Caraballo, Tomas ;

Cheban, David .

JOURNAL OF DIFFERENTIAL EQUATIONS, 2009, 246 (01) :108-128

[3] Almost periodic and almost automorphic solutions of linear differential/difference equations without Favard's separation condition. II [J].

Caraballo, Tomas ;

Cheban, David .

JOURNAL OF DIFFERENTIAL EQUATIONS, 2009, 246 (03) :1164-1186

[4] Rotating periodic solutions for second-order dynamical systems with singularities of repulsive type [J].

Chang, Xiaojun ;

Li, Yong .

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2017, 40 (08) :3092-3099

[5] ROTATING PERIODIC SOLUTIONS OF SECOND ORDER DISSIPATIVE DYNAMICAL SYSTEMS [J].

Chang, Xiaojun ;

Li, Yong .

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2016, 36 (02) :643-652

[6] AFFINE-PERIODIC SOLUTIONS AND PSEUDO AFFINE-PERIODIC SOLUTIONS FOR DIFFERENTIAL EQUATIONS WITH EXPONENTIAL DICHOTOMY AND EXPONENTIAL TRICHOTOMY [J].

Cheng, Cheng ;

Huang, Fushan ;

Li, Yong .

JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2016, 6 (04) :950-967

[7] REMARKS ON ONE-DIMENSIONAL DELAY-DIFFERENTIAL EQUATIONS [J].

CHOW, SN .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1973, 41 (02) :426-429

[8] SEMI-LINEAR FUNCTIONAL-DIFFERENTIAL EQUATIONS IN BANACH-SPACE [J].

FITZGIBBON, WE .

JOURNAL OF DIFFERENTIAL EQUATIONS, 1978, 29 (01) :1-14

[9] (Q, T)-affine-periodic solutions and Pseudo (Q, T affine-periodic solutions for Dynamic Equations on Time Scales [J].

Guo, Ruichao ;

Jiang, Xiaomeng ;

Wang, Hongren .

JOURNAL OF MATHEMATICS, 2022, 2022

[10]

Henry D, 1981, GEOMETRIC THEORY SEM, V840, DOI [10.1007/BFb0089647, DOI 10.1007/BFB0089647]

← 1 2 3 4 5 →