On the Existence of Exactly N Limit Cycles in Lienard Systems

2010/02/27 by Aniruddha Palit, Palit, Aniruddha, Dhurjati Prasad Datta +2 · 1 citation
Mathematics · Physics and Astronomy · #34A34 #70K05 #Advanced Differential Equations and Dynamical Systems #Classical Analysis and ODEs (math.CA) #Dynamical Systems (math.DS) #FOS: Mathematics #Quantum chaos and dynamical systems #math.CA #math.DS #msc:34A34 #msc:70K05

paper · pdf · doi:10.48550/arxiv.1003.0114

Latex 2e, 19 pages, To appear in Int. J. Pure and Applied Math. (2010)

arxiv created 2010/02/27 · openalex publication_date 2010/02/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A theorem on the existence of exactly N limit cycles around a critical point for the Lienard system x+f(x) x+g(x) =0 is proved. An alogrithm on the determination of a desired number of limit cycles for this system has been considered which might become relevant for a Lienard system with incomplete data.

Cited by

• On the determination of exact number of limit cycles in Lienard Systems

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