On planar and non-planar isochronous systems and poisson structures

Partha Guha; A. Ghose Choudhury

doi:10.1142/S0219887810004750

On planar and non-planar isochronous systems and poisson structures

Partha Guha, A. Ghose Choudhury

Mathematics

Surendranath College

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

We construct certain new classes of isochronous dynamical systems based on the recent constructions of Calogero and Leyvraz. We show how a Poisson structure can be ascribed to such equations in ℝ³ and indicate their connection with the Nambu structures.

Original language	British English
Pages (from-to)	1115-1131
Number of pages	17
Journal	International Journal of Geometric Methods in Modern Physics
Volume	7
Issue number	7
DOIs	https://doi.org/10.1142/S0219887810004750
State	Published - Nov 2010

Keywords

Isochronous systems
Jacobi identity
Poisson structure

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10.1142/S0219887810004750

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title = "On planar and non-planar isochronous systems and poisson structures",

abstract = "We construct certain new classes of isochronous dynamical systems based on the recent constructions of Calogero and Leyvraz. We show how a Poisson structure can be ascribed to such equations in ℝ3 and indicate their connection with the Nambu structures.",

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AU - Choudhury, A. Ghose

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AB - We construct certain new classes of isochronous dynamical systems based on the recent constructions of Calogero and Leyvraz. We show how a Poisson structure can be ascribed to such equations in ℝ3 and indicate their connection with the Nambu structures.

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KW - Jacobi identity

KW - Poisson structure

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JF - International Journal of Geometric Methods in Modern Physics

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On planar and non-planar isochronous systems and poisson structures

Abstract

Keywords

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