UAB Digital Repository of Documents 4 records found  Search took 0.00 seconds. 
1.
17 p, 659.0 KB The planar discontinuous piecewise linear refracting systems have at most one limit cycle / Li, Shimin (Guangdong University of Finance and Economics. School of Mathematics and Statistics) ; Liu, Changjian (Sun Yat-sen University. School of Mathematics (Zhuhai)) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
In this paper we investigate the limit cycles of planar piecewise linear differential systems with two zones separated by a straight line. It is well known that when these systems are continuous they can exhibit at most one limit cycle, while when they are discontinuous the question about maximum number of limit cycles that they can exhibit is still open. [...]
2021 - 10.1016/j.nahs.2021.101045
Nonlinear Analysis: Hybrid Systems, Vol. 41 (August 2021) , art. 101045  
2.
12 p, 322.1 KB The cyclicity of the period annulus of a reversible quadratic system / Liu, Changjian (Sun Yat-sen University. School of Mathematics (China)) ; Li, Chengzhi (Peking University. School of Mathematical Sciences (China)) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
We prove that perturbing the periodic annulus of the reversible quadratic polynomial differential system x˙ = y + ax2, y˙ = −x with a ≠ 0 inside the class of all quadratic polynomial differential systems we can obtain at most two limit cycle, including their multiplicities. [...]
2021 - 10.1017/prm.2021.2
Proceedings of the Royal Society of Edinburgh Section A: Mathematics, (February 2021)  
3.
13 p, 338.9 KB Lyapunov exponent and almost sure asymptotic stability of a stochastic SIRS model / Chen, Guoting (Université de Lille 1) ; Li, Tiecheng (Tsinghua University. Department of Mathematical Sciences) ; Liu, Changjian (Soochow University. School of Mathematics)
Epidemiological models with bilinear incidence rate usually have an asymptotically stable trivial equilibrium corresponding to the disease-free state, or an asymptotically stable nontrivial equilibrium (i. [...]
2014 - 10.5565/PUBLMAT_Extra14_08
Publicacions matemàtiques, Vol. Extra, Núm. (2014) , p. 153-165  
4.
12 p, 209.4 KB On the number of limit cycles bifurcating from a non-global degenerated center / Gasull, Armengol (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Li, Chengzhi ; Liu, Changjian ; Centre de Recerca Matemàtica
Vegeu el resum a l'inici del document del fitxer adjunt.
Centre de Recerca Matemàtica 2005 (Prepublicacions del Centre de Recerca Matemàtica ; 659)  

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