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Author ID: liu.changjian Recent zbMATH articles by "Liu, Changjian"
Published as: Liu, Changjian; Liu, Chang Jian; Liu, C.
External Links: ORCID · Google Scholar · ResearchGate
Documents Indexed: 69 Publications since 2003, including 5 Additional arXiv Preprints
Reviewing Activity: 10 Reviews
Co-Authors: 52 Co-Authors with 64 Joint Publications
2,019 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

44 Publications have been cited 487 times in 368 Documents Cited by Year
A cubic system with thirteen limit cycles. Zbl 1176.34037
Li, Chengzhi; Liu, Changjian; Yang, Jiazhong
94
2009
A linear estimate of the number of limit cycles for some planar piecewise smooth quadratic differential system. Zbl 1327.34058
Li, Shimin; Liu, Changjian
38
2015
Integrability and linearizability of the Lotka-Volterra systems. Zbl 1046.34075
Liu, Changjian; Chen, Guoting; Li, Chengzhi
34
2004
Limit cycles by perturbing quadratic isochronous centers inside piecewise polynomial differential systems. Zbl 1444.34032
Cen, Xiuli; Liu, Changjian; Yang, Lijun; Zhang, Meirong
25
2018
The monotonicity of the ratio of two abelian integrals. Zbl 1283.34026
Liu, Changjian; Xiao, Dongmei
22
2013
The cyclicity of period annuli of some classes of reversible quadratic systems. Zbl 1119.34028
Chen, Guoting; Li, C.; Llibre, J.; Liu, C.
21
2006
The cyclicity of period annuli of a class of quintic Hamiltonian systems. Zbl 1288.34033
Zhao, Liqin; Qi, Minghui; Liu, Changjian
18
2013
The planar discontinuous piecewise linear refracting systems have at most one limit cycle. Zbl 1474.34286
Li, Shimin; Liu, Changjian; Llibre, Jaume
15
2021
Estimate of the number of zeros of Abelian integrals for an elliptic Hamiltonian with figure-of-eight loop. Zbl 1037.34026
Liu, Changjian
15
2003
The cyclicity of period annuli of a class of quadratic reversible systems with two centers. Zbl 1244.34049
Liu, Changjian
14
2012
On the hyperelliptic limit cycles of Liénard systems. Zbl 1366.34045
Liu, Changjian; Chen, Guoting; Yang, Jiazhong
14
2012
On the number of critical periods for planar polynomial systems of arbitrary degree. Zbl 1203.34049
Gasull, Armengol; Liu, Changjian; Yang, Jiazhong
14
2010
The smallest upper bound on the number of zeros of abelian integrals. Zbl 1464.34057
Liu, Changjian; Xiao, Dongmei
13
2020
Note on limit cycles for \(m\)-piecewise discontinuous polynomial Liénard differential equations. Zbl 1379.34021
Dong, Guangfeng; Liu, Changjian
13
2017
Integrability of Lotka-Volterra type systems of degree 4. Zbl 1259.34007
Liu, Changjian; Chen, Guoting; Chen, Guanrong
12
2012
New criteria for the monotonicity of the ratio of two abelian integrals. Zbl 1439.34038
Liu, Changjian; Chen, Guoting; Sun, Zhongqin
12
2018
Limit cycles bifurcated from some reversible quadratic centres with a non-algebraic first integral. Zbl 1250.34026
Liu, Changjian
10
2012
The estimate of the amplitude of limit cycles of symmetric Liénard systems. Zbl 1390.34077
Cao, Yuli; Liu, Changjian
10
2017
On the rational limit cycles of Abel equations. Zbl 1391.34067
Liu, Changjian; Li, Chunhui; Wang, Xishun; Wu, Junqiao
9
2018
On piecewise linear differential systems with \(n\) limit cycles of arbitrary multiplicities in two zones. Zbl 1418.34035
Zou, Changwu; Liu, Changjian; Yang, Jiazhong
8
2019
On the number of limit cycles bifurcating from a non-global degenerated center. Zbl 1116.34029
Gasull, Armengol; Li, Chengzhi; Liu, Changjian
7
2007
Bifurcation of limit cycles from a class of piecewise smooth systems with two vertical straight lines of singularity. Zbl 1387.37044
Gao, Yunfei; Peng, Linping; Liu, Changjian
7
2017
Abelian integrals in unfoldings of codimension 3 singularities with nilpotent linear parts. Zbl 1360.34074
Huang, Jicai; Liu, Changjian; Wang, Jihua
5
2017
Lyapunov exponent of a stochastic SIRS model. Zbl 1318.92046
Chen, Guoting; Li, Tiecheng; Liu, Changjian
5
2013
New family of abelian integrals satisfying Chebyshev property. Zbl 1464.34056
Cen, Xiuli; Liu, Changjian; Zhao, Yulin
5
2020
The Poincaré bifurcation of a SD oscillator. Zbl 1479.34063
Sun, Yangjian; Liu, Changjian
5
2021
The integrability of a class of cubic Lotka-Volterra systems. Zbl 1300.34008
Liu, Changjian; Li, Yun
5
2014
Quadratic perturbations of a quadratic reversible Lotka-Volterra system with two centers. Zbl 1308.34049
Peng, Linping; Feng, Zhaosheng; Liu, Changjian
5
2014
Bifurcation of limit cycles for a perturbed piecewise quadratic differential systems. Zbl 1537.34028
Ji, Gui Lin; Liu, Chang Jian; Li, Peng Heng
4
2022
The period function of reversible Lotka-Volterra quadratic centers. Zbl 1492.34032
Li, Jinming; Li, Chengzhi; Liu, Changjian; Wang, Dechen
3
2022
The Kowalevskaya exponents and rational integrability of polynomial differential systems. Zbl 1105.34001
Liu, Changjian; Wu, Hao; Yang, Jiazhong
3
2006
A proof for a stability conjecture on symmetric periodic solutions of the elliptic Sitnikov problem. Zbl 1476.70016
Cen, Xiuli; Liu, Changjian; Zhang, Meirong
3
2021
Orbital stability of smooth solitary waves for the \(b\)-family of Camassa-Holm equations. Zbl 1510.35045
Long, Teng; Liu, Changjian
3
2023
The complexity of generalized center problem. Zbl 1323.34036
Dong, Guangfeng; Liu, Changjian; Yang, Jiazhong
3
2015
The period function of quadratic generalized Lotka-Volterra systems without complex invariant lines. Zbl 1500.34029
Long, Teng; Liu, Changjian; Wang, Shaoqing
2
2022
The cyclicity of the period annulus of a reversible quadratic system. Zbl 1508.34030
Liu, Changjian; Li, Chengzhi; Llibre, Jaume
2
2022
The cyclicity of a class of quadratic reversible centers defining elliptic curves. Zbl 1518.34044
Ji, Guilin; Liu, Changjian
1
2022
On the isochronous center of planar piecewise polynomial potential systems. Zbl 1500.34017
Liu, Changjian; Wang, Shaoqing
1
2022
Configuration of planar Kolmogorov cubic polynomial differential systems with the most centers. Zbl 07805441
He, Hongjin; Liu, Changjian; Xiao, Dongmei
1
2024
The isochronous centers for Kukles homogeneous system of degree nine. Zbl 1485.34098
Guo, Lina; Liu, Changjian
1
2021
On the structure of periodic eigenvalues of the vectorial \(p\)-Laplacian. Zbl 1505.37071
Liu, Changjian; Zhang, Meirong
1
2022
On the maximal saddle order of \(p:-q \) resonant saddle. Zbl 1467.34031
Dong, Guangfeng; Liu, Changjian; Yang, Jiazhong
1
2019
Lyapunov exponent and almost sure asymptotic stability of a stochastic SIRS model. Zbl 1329.92127
Chen, Guoting; Li, Tiecheng; Liu, Changjian
1
2014
A proof of a Dumortier-Roussarie’s conjecture. Zbl 1512.34074
Li, Chengzhi; Liu, Changjian
1
2023
Configuration of planar Kolmogorov cubic polynomial differential systems with the most centers. Zbl 07805441
He, Hongjin; Liu, Changjian; Xiao, Dongmei
1
2024
Orbital stability of smooth solitary waves for the \(b\)-family of Camassa-Holm equations. Zbl 1510.35045
Long, Teng; Liu, Changjian
3
2023
A proof of a Dumortier-Roussarie’s conjecture. Zbl 1512.34074
Li, Chengzhi; Liu, Changjian
1
2023
Bifurcation of limit cycles for a perturbed piecewise quadratic differential systems. Zbl 1537.34028
Ji, Gui Lin; Liu, Chang Jian; Li, Peng Heng
4
2022
The period function of reversible Lotka-Volterra quadratic centers. Zbl 1492.34032
Li, Jinming; Li, Chengzhi; Liu, Changjian; Wang, Dechen
3
2022
The period function of quadratic generalized Lotka-Volterra systems without complex invariant lines. Zbl 1500.34029
Long, Teng; Liu, Changjian; Wang, Shaoqing
2
2022
The cyclicity of the period annulus of a reversible quadratic system. Zbl 1508.34030
Liu, Changjian; Li, Chengzhi; Llibre, Jaume
2
2022
The cyclicity of a class of quadratic reversible centers defining elliptic curves. Zbl 1518.34044
Ji, Guilin; Liu, Changjian
1
2022
On the isochronous center of planar piecewise polynomial potential systems. Zbl 1500.34017
Liu, Changjian; Wang, Shaoqing
1
2022
On the structure of periodic eigenvalues of the vectorial \(p\)-Laplacian. Zbl 1505.37071
Liu, Changjian; Zhang, Meirong
1
2022
The planar discontinuous piecewise linear refracting systems have at most one limit cycle. Zbl 1474.34286
Li, Shimin; Liu, Changjian; Llibre, Jaume
15
2021
The Poincaré bifurcation of a SD oscillator. Zbl 1479.34063
Sun, Yangjian; Liu, Changjian
5
2021
A proof for a stability conjecture on symmetric periodic solutions of the elliptic Sitnikov problem. Zbl 1476.70016
Cen, Xiuli; Liu, Changjian; Zhang, Meirong
3
2021
The isochronous centers for Kukles homogeneous system of degree nine. Zbl 1485.34098
Guo, Lina; Liu, Changjian
1
2021
The smallest upper bound on the number of zeros of abelian integrals. Zbl 1464.34057
Liu, Changjian; Xiao, Dongmei
13
2020
New family of abelian integrals satisfying Chebyshev property. Zbl 1464.34056
Cen, Xiuli; Liu, Changjian; Zhao, Yulin
5
2020
On piecewise linear differential systems with \(n\) limit cycles of arbitrary multiplicities in two zones. Zbl 1418.34035
Zou, Changwu; Liu, Changjian; Yang, Jiazhong
8
2019
On the maximal saddle order of \(p:-q \) resonant saddle. Zbl 1467.34031
Dong, Guangfeng; Liu, Changjian; Yang, Jiazhong
1
2019
Limit cycles by perturbing quadratic isochronous centers inside piecewise polynomial differential systems. Zbl 1444.34032
Cen, Xiuli; Liu, Changjian; Yang, Lijun; Zhang, Meirong
25
2018
New criteria for the monotonicity of the ratio of two abelian integrals. Zbl 1439.34038
Liu, Changjian; Chen, Guoting; Sun, Zhongqin
12
2018
On the rational limit cycles of Abel equations. Zbl 1391.34067
Liu, Changjian; Li, Chunhui; Wang, Xishun; Wu, Junqiao
9
2018
Note on limit cycles for \(m\)-piecewise discontinuous polynomial Liénard differential equations. Zbl 1379.34021
Dong, Guangfeng; Liu, Changjian
13
2017
The estimate of the amplitude of limit cycles of symmetric Liénard systems. Zbl 1390.34077
Cao, Yuli; Liu, Changjian
10
2017
Bifurcation of limit cycles from a class of piecewise smooth systems with two vertical straight lines of singularity. Zbl 1387.37044
Gao, Yunfei; Peng, Linping; Liu, Changjian
7
2017
Abelian integrals in unfoldings of codimension 3 singularities with nilpotent linear parts. Zbl 1360.34074
Huang, Jicai; Liu, Changjian; Wang, Jihua
5
2017
A linear estimate of the number of limit cycles for some planar piecewise smooth quadratic differential system. Zbl 1327.34058
Li, Shimin; Liu, Changjian
38
2015
The complexity of generalized center problem. Zbl 1323.34036
Dong, Guangfeng; Liu, Changjian; Yang, Jiazhong
3
2015
The integrability of a class of cubic Lotka-Volterra systems. Zbl 1300.34008
Liu, Changjian; Li, Yun
5
2014
Quadratic perturbations of a quadratic reversible Lotka-Volterra system with two centers. Zbl 1308.34049
Peng, Linping; Feng, Zhaosheng; Liu, Changjian
5
2014
Lyapunov exponent and almost sure asymptotic stability of a stochastic SIRS model. Zbl 1329.92127
Chen, Guoting; Li, Tiecheng; Liu, Changjian
1
2014
The monotonicity of the ratio of two abelian integrals. Zbl 1283.34026
Liu, Changjian; Xiao, Dongmei
22
2013
The cyclicity of period annuli of a class of quintic Hamiltonian systems. Zbl 1288.34033
Zhao, Liqin; Qi, Minghui; Liu, Changjian
18
2013
Lyapunov exponent of a stochastic SIRS model. Zbl 1318.92046
Chen, Guoting; Li, Tiecheng; Liu, Changjian
5
2013
The cyclicity of period annuli of a class of quadratic reversible systems with two centers. Zbl 1244.34049
Liu, Changjian
14
2012
On the hyperelliptic limit cycles of Liénard systems. Zbl 1366.34045
Liu, Changjian; Chen, Guoting; Yang, Jiazhong
14
2012
Integrability of Lotka-Volterra type systems of degree 4. Zbl 1259.34007
Liu, Changjian; Chen, Guoting; Chen, Guanrong
12
2012
Limit cycles bifurcated from some reversible quadratic centres with a non-algebraic first integral. Zbl 1250.34026
Liu, Changjian
10
2012
On the number of critical periods for planar polynomial systems of arbitrary degree. Zbl 1203.34049
Gasull, Armengol; Liu, Changjian; Yang, Jiazhong
14
2010
A cubic system with thirteen limit cycles. Zbl 1176.34037
Li, Chengzhi; Liu, Changjian; Yang, Jiazhong
94
2009
On the number of limit cycles bifurcating from a non-global degenerated center. Zbl 1116.34029
Gasull, Armengol; Li, Chengzhi; Liu, Changjian
7
2007
The cyclicity of period annuli of some classes of reversible quadratic systems. Zbl 1119.34028
Chen, Guoting; Li, C.; Llibre, J.; Liu, C.
21
2006
The Kowalevskaya exponents and rational integrability of polynomial differential systems. Zbl 1105.34001
Liu, Changjian; Wu, Hao; Yang, Jiazhong
3
2006
Integrability and linearizability of the Lotka-Volterra systems. Zbl 1046.34075
Liu, Changjian; Chen, Guoting; Li, Chengzhi
34
2004
Estimate of the number of zeros of Abelian integrals for an elliptic Hamiltonian with figure-of-eight loop. Zbl 1037.34026
Liu, Changjian
15
2003
all top 5

Cited by 349 Authors

30 Han, Maoan
26 Liu, Changjian
23 Llibre, Jaume
23 Yu, Pei
20 Yang, Jihua
19 Zhao, Liqin
15 Giné, Jaume
13 Torregrosa, Joan
12 Sun, Xianbo
10 Valls Anglés, Cláudia
10 Xiong, Yanqin
9 Huang, Wentao
8 Gasull, Armengol
8 Peng, Linping
8 Tian, Yun
7 Huang, Bo
7 Li, Feng
7 Li, Shimin
7 Liu, Yirong
7 Wei, Minzhi
7 Wu, Yusen
7 Yang, Jiazhong
7 Zhao, Yulin
6 Cen, Xiuli
6 Chen, Aiyong
6 Chen, Hebai
6 Chen, Xingwu
6 Guo, Laigang
6 Li, Tao
6 Sun, Yangjian
6 Wang, Qinlong
6 Xiao, Dongmei
5 Algaba, Antonio
5 Chen, Yufu
5 García, Cristóbal
5 Huang, Jianfeng
5 Li, Jibin
5 Romanovskiĭ, Valeriĭ Georgievich
5 Sabatini, Marco
5 Xia, Yonghui
5 Yang, Junmin
5 Zhang, Xiang
4 Asheghi, Rasoul
4 Christopher, Colin J.
4 Liang, Haihua
4 Novaes, Douglas Duarte
4 Qian, Xinjie
4 Wang, Jiaxin
4 Wang, Jihua
4 Zhang, Huiyang
3 Bakhshalizadeh, Ali
3 Carmona, Victoriano
3 Chen, Xiaoyan
3 da Cruz, Leonardo Pereira Costa
3 Dai, Yanfei
3 De Maesschalck, Peter
3 Dong, Guangfeng
3 Feng, Zhaosheng
3 Ferčec, Brigita
3 Fernández-Sánchez, Fernando
3 Gavrilov, Lubomir
3 Guo, Lina
3 Hong, Lijun
3 Hong, Xiaochun
3 Hu, Jianqiang
3 Ji, Guilin
3 Kazemi, Rasool
3 Li, Chengzhi
3 Li, Zhengkang
3 Liu, Xingbo
3 Liu, Yuanyuan
3 Long, Teng
3 Pessoa, Claudio Gomes
3 Prohens, Rafel
3 Reyes, Manuel
3 Ribeiro, Ronisio Moises
3 Sheng, Lijuan
3 Sui, Shiyou
3 Tucker, Warwick
3 Wang, Na
3 Wang, Shaoqing
3 Wu, Kuilin
3 Yu, Jiang
3 Zhang, Cui
2 Ben Hamed, Bassem
2 Berbache, Aziza
2 Buzzi, Claudio Aguinaldo
2 Chen, Guoting
2 Chen, Jiangbin
2 Demina, Maria V.
2 Gao, Jing
2 Gao, Yunfei
2 Gargouri, Ameni
2 Gong, Shuhua
2 Gouveia, Luiz F. S.
2 Hong, Xiaochun
2 Huang, Lihong
2 Huzak, Renato
2 Iliev, Iliya Dimov
2 Jia, Man
...and 249 more Authors
all top 5

Cited in 71 Serials

51 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
48 Journal of Differential Equations
40 Qualitative Theory of Dynamical Systems
27 Journal of Mathematical Analysis and Applications
16 Journal of Applied Analysis and Computation
14 Nonlinear Analysis. Real World Applications
13 Bulletin des Sciences Mathématiques
12 Applied Mathematics and Computation
11 Chaos, Solitons and Fractals
10 Physica D
10 Applied Mathematics Letters
8 Discrete and Continuous Dynamical Systems. Series B
7 Communications in Nonlinear Science and Numerical Simulation
6 Acta Mathematica Sinica. English Series
5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
4 Mediterranean Journal of Mathematics
4 Advances in Difference Equations
3 Nonlinearity
3 Journal of Symbolic Computation
3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
3 Journal of Dynamics and Differential Equations
3 Nonlinear Dynamics
3 Abstract and Applied Analysis
3 Communications on Pure and Applied Analysis
2 Journal of Mathematical Physics
2 Mathematical Methods in the Applied Sciences
2 Journal of Geometry and Physics
2 Proceedings of the American Mathematical Society
2 Discrete Dynamics in Nature and Society
2 Dynamical Systems
2 Journal of Dynamical Systems and Geometric Theories
2 Nonlinear Analysis. Hybrid Systems
2 Discrete and Continuous Dynamical Systems. Series S
2 São Paulo Journal of Mathematical Sciences
2 Science China. Mathematics
1 Applicable Analysis
1 Computers & Mathematics with Applications
1 Bulletin of Mathematical Biology
1 ACM Transactions on Mathematical Software
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Rendiconti del Circolo Matemàtico di Palermo. Serie II
1 Studies in Applied Mathematics
1 Transactions of the American Mathematical Society
1 Acta Applicandae Mathematicae
1 Science in China. Series A
1 Expositiones Mathematicae
1 Experimental Mathematics
1 Journal of Mathematical Sciences (New York)
1 Electronic Journal of Differential Equations (EJDE)
1 Computational and Applied Mathematics
1 Memoirs on Differential Equations and Mathematical Physics
1 NoDEA. Nonlinear Differential Equations and Applications
1 Boletín de la Sociedad Matemática Mexicana. Third Series
1 Discrete and Continuous Dynamical Systems
1 Journal of Applied Analysis
1 Differential Equations and Dynamical Systems
1 Chaos
1 Communications in Contemporary Mathematics
1 Journal of Nonlinear Mathematical Physics
1 Journal of Applied Mathematics
1 Acta Mathematica Scientia. Series B. (English Edition)
1 Bulletin of the Brazilian Mathematical Society. New Series
1 SIAM Journal on Applied Dynamical Systems
1 International Journal of Geometric Methods in Modern Physics
1 Mathematical Biosciences and Engineering
1 Frontiers of Mathematics in China
1 Computational & Mathematical Methods in Medicine
1 Differential Equations and Applications
1 S\(\vec{\text{e}}\)MA Journal
1 Journal of Function Spaces
1 Electronic Research Archive

Citations by Year