The role of the Jacobi last multiplier and isochronous systems

Pramana

Partha Guha1¹  Anindya Ghose Choudhury² 

[1] S.N. Bose National Centre for Basic Sciences, JD Block, Sector III, Salt Lake, Kolkata 700 098, India$$;Department of Physics, Surendranath College, 24/2 Mahatma Gandhi Road, Kolkata 700 009, India$$

关键词: Jacobi last multiplier;    isochronous systems;    Liénard equation;    commuting vector fields.;   

DOI  :  

学科分类：物理（综合）

来源: Indian Academy of Sciences

【 摘 要 】

We employ Jacobi’s last multiplier (JLM) to study planar differential systems. In particular, we examine its role in the transformation of the temporal variable for a system of ODEs originally analysed by Calogero–Leyvraz in course of their identification of isochronous systems. We also show that JLM simplifies to a great extent the proofs of isochronicity for the Liénard-type equations.

【 授权许可】

Unknown