Home > Search Results: Zhao, Yulin
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Articles, 5 records found
Articles 5 records found  
1.
13 p, 370.0 KB Existence of at most two limit cycles for some non-autonomous differential equations / Gasull, Armengol (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Zhao, Yulin (Sun Yat-sen University. School of Mathematics)
It is know that the non-autonomous differential equations dx/dt = a(t) + b(t)|x|, where a(t) and b(t) are 1-periodic maps of class C1, have no upper bound for their number of limit cycles (isolated solutions satisfying x(0) = x(1)). [...]
2023 - 10.3934/cpaa.2023016
Communications on Pure and Applied Analysis, Vol. 22, Issue 3 (March 2023) , p. 970-982  
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2.
22 p, 833.4 KB On the birth and death of algebraic limit cycles in quadratic differential systems / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Oliveira, Regilene (Universidade de São Paulo. Instituto de Ciências Matemáticas e Computação. Departamento de Matemática (Brazil)) ; Zhao, Yulin (Sun Yat-sen University. School of Mathematics (People's Republic of China))
In 1958 started the study of the families of algebraic limit cycles in the class of planar quadratic polynomial differential systems. In the present we known one family of algebraic limit cycles of degree 2 and four families of algebraic limit cycles of degree 4, and that there are no limit cycles of degree 3. [...]
2021 - 10.1017/S0956792520000145
European Journal of Applied Mathematics, Vol. 32, Issue 2 (April 2021) , p. 317-336  
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3.
10 p, 340.5 KB On a family of polynomial differential equations having at most three limit cycles / Gasull, Armengol (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Zhao, Yulin (Sun Yat-sen University(China), Department of Mathematics)
We prove the existence of at most three limit cycles for a family of planar polynomial differential equations. Moreover we show that this upper bound in sharp. The key point in our approach is that the differential equations of this family can be transformed into Abel differential equations.
2013
Houston Journal of Mathematics, Vol. 39 Núm. 1 (2013) , p. 191-203  
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4.
14 p, 744.9 KB On the polynomial vector fields on S^2 / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Zhao, Yulin (Sun Yat-sen University. Department of Mathematics)
2011 - 10.1017/S0308210509000158
Proceedings of the Royal Society of Edinburgh Section A: Mathematics, Vol. 141A (2011) , p. 1055-1069  
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5.
31 p, 235.2 KB Bifurcations of limit cycles from cubic Hamiltonian systems with a center and a homoclinic saddle-loop / Zhao, Yulin ; Zhang, Zhifen
It is provedin this paper that the maximum number of limit cycles of system [formula] is equal to two in the finite plane, where [formula]. This is partial answer to the seventh question in [2], posed by Arnold.
2000 - 10.5565/PUBLMAT_44100_08
Publicacions matemàtiques, V. 44 N. 1 (2000) , p. 205-235  
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See also: similar author names
185 Zhao, Y.
1 Zhao, Y. P.
1 Zhao, Y.P.
1 Zhao, Y.S.
1 Zhao, Yang
2 Zhao, Ye
3 Zhao, Yi
1 Zhao, Yifan
2 Zhao, Ying
1 Zhao, Yong
1 Zhao, Yong-Qing
1 Zhao, Yongke
1 Zhao, Yuliang
1 Zhao, Yunxiang
1 Zhao, Yutong
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