On integrals, Hamiltonian and metriplectic formulations of polynomial systems in 3D

Oğul Esen, Anindya Ghose Choudhury, Partha Guha

Research output: Contribution to journalArticlepeer-review

Abstract

The first integrals of the reduced three-wave interaction problem, the Rabinovich system, the Hindmarsh-Rose model, and the Oregonator model are derived using the method of Darboux polynomials. It is shown that, the reduced three-wave interaction problem, the Rabinovich system, the Hindmarsh-Rose model can be written in a bi-Hamiltonian/Nambu metriplectic form.

Original languageBritish English
Pages (from-to)15-34
Number of pages20
JournalTheoretical and Applied Mechanics
Volume44
Issue number1
DOIs
StatePublished - 2017

Keywords

  • Darboux integrability method
  • Hindmarsh-Rose model
  • Metriplectic Structure
  • Nambu-Poisson brackets
  • Oregonator model
  • Rabinovich system
  • The reduced three-wave interaction problem

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