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2015•International Journal of Pure and Apllied MathematicsOpen access

A QUINTINC POLYNOMIAL DIFFERENTIAL SYSTEMS WITH EXPLICIT NON-ALGEBRAIC LIMIT CYCLE

Rachid Boukoucha, Ahmed Bendjeddou

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Abstract

In this paper, we introduce a multi-parameter quintinc polynomial differential system for which we prove the existence of a non-algebraic limit cycle.Moreover this limit cycle is explicitely given in polar coordinates.Concrete examples exhibiting the applicability of our result are introduced.

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What this paper is about

In this paper, we introduce a multi-parameter quintinc polynomial differential system for which we prove the existence of a non-algebraic limit cycle.Moreover this limit cycle is explicitely given in polar coordinates.Concrete examples exhibiting the applicability of our result are introduced.

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Available abstract

In this paper, we introduce a multi-parameter quintinc polynomial differential system for which we prove the existence of a non-algebraic limit cycle.Moreover this limit cycle is explicitely given in polar coordinates.Concrete examples exhibiting the applicability of our result are introduced.

Key concepts: Limit (mathematics), Limit cycle, Algebraic number, Polynomial, Differential (mechanical device), Mathematics, Polar coordinate system, Algebra over a field

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