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Classification of Quadratic Systems Admitting the Existence of an Algebraic Limit Cycle by Jaume Llibre; Grzegorz Świrszcz is a Mathematics article available to read on EtoBox.
What is Classification of Quadratic Systems Admitting the Existence of an Algebraic Limit Cycle about?
In the paper we find a set of necessary conditions that must be satisfied by a quadratic system in order to have an algebraic limit cycle. We find a countable set of 5 parameter families of quadratic systems such that every quadratic system with an algebraic limit cycle must, after a change of variables, belong to one of those families. We provide a classification of all the quadratic systems which can have an algebraic limit cycle based on geometrical properties of the embedding of the system in the Poincaré compactification of R 2 . We propose names for all the classes we distinguish and we classify all known examples of quadratic systems with algebraic limit cycle. We also prove the integrability of certain classes of quadratic systems.
Who reads Classification of Quadratic Systems Admitting the Existence of an Algebraic Limit Cycle?
It is typically read by researchers, students, and practitioners in Mathematics.
- Author
- Jaume Llibre; Grzegorz Świrszcz
- Publisher
- Elsevier Science; Elsevier ; Elsevier BV (ISSN 0007-4497)
- Published
- 2007
- Language
- EN
- Field
- Mathematics (Physical Sciences)