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The Existence of Periodic Orbits and Invariant Tori for Some 3-Dimensional Quadratic Systems

We use the normal form theory, averaging method, and integral manifold theorem to study the existence of limit cycles in Lotka-Volterra systems and the existence of invariant tori in quadratic systems in ℝ(3).

Detalles Bibliográficos
Autores principales: Jiang, Yanan, Han, Maoan, Xiao, Dongmei
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi Publishing Corporation 2014
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3984815/
https://www.ncbi.nlm.nih.gov/pubmed/24982980
http://dx.doi.org/10.1155/2014/705703
Descripción
Sumario:We use the normal form theory, averaging method, and integral manifold theorem to study the existence of limit cycles in Lotka-Volterra systems and the existence of invariant tori in quadratic systems in ℝ(3).