1983•Bulletin of the Australian Mathematical SocietyOpen access

Existence of limit cycles for a class of autonomous systems

Anthony Sofo

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Abstract

A proof is given for the existence of at least one stable periodic limit cycle solution for the polynomial non-linear differential equation of the form in some cases where the Levinson-Smith criteria are not directly applicable.

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What this paper is about

A proof is given for the existence of at least one stable periodic limit cycle solution for the polynomial non-linear differential equation of the form in some cases where the Levinson-Smith criteria are not directly applicable.

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Available abstract

A proof is given for the existence of at least one stable periodic limit cycle solution for the polynomial non-linear differential equation of the form in some cases where the Levinson-Smith criteria are not directly applicable.

Key concepts: Mathematics, Limit cycle, Limit (mathematics), Class (philosophy), Polynomial, Mathematical analysis, Differential equation, Pure mathematics

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