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1.
38 p, 2.1 MB Limit cycles of planar discontinuous piecewise linear hamiltonian systems without equilibria separated by reducible cubics / Benterki, Rebiha (Université Mohamed El Bachir El Ibrahimi. Département de Mathématiques (Algeria)) ; Jimenez Ruiz, Jeidy Johana (Universidade Federal do Oeste da Bahia (Brazil)) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Due to their applications to many physical phenomena during these last decades the interest for studying the discontinuous piecewise differential systems has increased strongly. The limit cycles play a main role in the study of any planar differential system, but to determine the maximum number of limits cycles that a class of planar differential systems can have is one of the main problems in the qualitative theory of the planar differential systems. [...]
2021 - 10.14232/ejqtde.2021.1.69
Electronic Journal of Qualitative Theory of Differential Equations, Vol. 2021, Issue 69 (2021) , p. 1-38
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2.
32 p, 432.6 KB A survey on stably dissipative Lotka-Volterra systems with an application to infinite dimensional Volterra equations / Oliva, Waldyr M. (Center for Mathematical Analysis, Geometry and Dynamical Systems (Lisboa, Portugal))
For stably dissipative Lotka{Volterra equations the dynamics on the attractor are Hamiltonian and we argue that complex dynamics can occur. We also present examples and properties of some infinite dimensional Volterra systems with applications related with stably dissipative Lotka-Volterra equations. [...]
2014 - 10.5565/PUBLMAT_Extra14_21
Publicacions matemàtiques, Vol. Extra, Núm. (2014) , p. 421-452  
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