A QUINTIC 2-EQUIVARIANT LIÉNARD SYSTEM ARISING FROM THE COMPLEX GINZBURG–LANDAU EQUATION - Details

author：

Chen, Hebai (Chen, Hebai.) ^[1] | Chen, Xingwu (Chen, Xingwu.) ^[2] | Jia, Man (Jia, Man.) ^[3] | Tang, Yilei (Tang, Yilei.) ^[4] Unfold

Indexed by：

Abstract：

In　this　paper,　we　study　a　quintic　Liénard　system　x.　=　y,　y.　=　-(a0x　+　a1x3　+　a2x5)　-　(b0　+　b1x2)y　with　2-equivariance,　arising　from　the　complex　Ginzburg-Landau　equation.　Although　this　system　is　a　versal　unfolding　of　the　germ　x.　=　y,　y.　=　-a2x5　+　O(x6)　-　(b1x2　+　O(x3))y　near　the　origin,　it　cannot　be　changed　equivalently　into　a　near-Hamiltonian　system　for　global　variables　and　parameters　so　that　its　dynamics　cannot　be　studied　via　counting　the　isolate　zeros　of　Abelian　integrals　as　usual.　We　present　a　complete　study　of　this　system　with　a2　Copyright　©　by　SIAM.

Keyword：

Dynamical systems Hamiltonians Hopf bifurcation

Community：

[ 1 ] [Chen, Hebai]School of Mathematics and Statistics, HNP-LAMA, Central South University, Hunan, Changsha; 410083, China
[ 2 ] [Chen, Xingwu]School of Mathematics, Sichuan University, Sichuan, Chengdu; 610064, China
[ 3 ] [Jia, Man]School of Mathematics and Statistics, HNP-LAMA, Central South University, Hunan, Changsha; 410083, China
[ 4 ] [Jia, Man]School of Mathematics and Statistics, Fuzhou University, Fujian, Fuzhou; 350116, China
[ 5 ] [Tang, Yilei]School of Mathematical Sciences, CMA-Shanghai, Shanghai Jiao Tong University, Shanghai; 200240, China

Reprint 's Address：

Show more details

Online State Estimation Method for Dynamical Systems Based-On OS-KELM
2022，17th Chinese Intelligent Systems Conference, CISC 2021
Variational principle of higher dimension weighted pressure for amenable group actions
2024，JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
Competitive modes and estimation of ultimate bound sets for a chaotic dynamical financial system
2021，Nonlinear Dynamics
Predicting the chaos and solution bounds in a complex dynamical system
2021，Chaos, Solitons and Fractals
Full Differential Privacy Preserving for Switched LPV Systems
2024，IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS

Source ：

SIAM Journal on Mathematical Analysis

ISSN： 0036-1410

Year： 2023

Issue： 6

Volume： 55

Page： 5993-6038

2 . 2

JCR@2023

2 . 2 0 0

JCR@2023

JCR Journal Grade：1

CAS Journal Grade：2

Cited Count：

WoS CC Cited Count：

SCOPUS Cited Count： 6

WanFang Cited Count：

Chinese Cited Count：

30 Days PV： 4

Affiliated Colleges：

Get Fulltext

DOI Library Discovery Baidu Scholar Search Engineering Village

查看更多>>操作日志

管理员 2025-07-06 04:05:13 更新被引

管理员 2024-10-25 15:10:04 追加

管理员 2024-09-25 15:46:39 追加

管理员 2024-08-28 13:44:55 追加

Type
Departments

All Years Choose Year From to