A Class of New Solvable Nonlinear Isochronous Systems and Their Classical Dynamics

• R. Mohanasubha ^[2] ; M. Senthilvelan ^[1]
  1. [1] Bharathidasan University

     Bharathidasan University

     India

     
  2. [2] Chennai Institute of Technology
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 22, Nº 1, 2023
• Idioma: inglés
• Enlaces
  • Texto completo
• Resumen

  • In a recent work, Calogero and Payandeh have identified a class of solvable two coupled first order nonlinear ordinary differential equations by connecting the roots of a monic polynomial of degree four with the coefficients of the polynomial. In this paper, we apply one of their earlier works to these first order nonlinear differential equations and enumerate the evolution equations in Newtonian form. Further, we demonstrate that second order evolution equations of the roots also follow the dynamics of the coefficients of the polynomial.