Superintegrable cases of four-dimensional dynamical systems

Oğul Esen; Anindya Ghose Choudhury; Partha Guha; Hasan Gümral

doi:10.1134/S1560354716020039

Superintegrable cases of four-dimensional dynamical systems

Oğul Esen, Anindya Ghose Choudhury, Partha Guha, Hasan Gümral

Mathematics

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

4 Scopus citations

Abstract

Degenerate tri-Hamiltonian structures of the Shivamoggi and generalized Raychaudhuri equations are exhibited. For certain specific values of the parameters, it is shown that hyperchaotic Lü and Qi systems are superintegrable and admit tri-Hamiltonian structures.

Original language	British English
Pages (from-to)	175-188
Number of pages	14
Journal	Regular and Chaotic Dynamics
Volume	21
Issue number	2
DOIs	https://doi.org/10.1134/S1560354716020039
State	Published - 1 Mar 2016

Keywords

4D Poisson structures
Darboux polynomials
first integrals
generalized Raychaudhuri equations
Jacobi’s last multiplier
Lü system and Qi system
Shivamoggi equations
tri-Hamiltonian structures

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title = "Superintegrable cases of four-dimensional dynamical systems",

abstract = "Degenerate tri-Hamiltonian structures of the Shivamoggi and generalized Raychaudhuri equations are exhibited. For certain specific values of the parameters, it is shown that hyperchaotic L{\"u} and Qi systems are superintegrable and admit tri-Hamiltonian structures.",

keywords = "4D Poisson structures, Darboux polynomials, first integrals, generalized Raychaudhuri equations, Jacobi{\textquoteright}s last multiplier, L{\"u} system and Qi system, Shivamoggi equations, tri-Hamiltonian structures",

author = "Oğul Esen and Choudhury, {Anindya Ghose} and Partha Guha and Hasan G{\"u}mral",

note = "Publisher Copyright: {\textcopyright} 2016, Pleiades Publishing, Ltd.",

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T1 - Superintegrable cases of four-dimensional dynamical systems

AU - Esen, Oğul

AU - Choudhury, Anindya Ghose

AU - Guha, Partha

AU - Gümral, Hasan

PY - 2016/3/1

Y1 - 2016/3/1

N2 - Degenerate tri-Hamiltonian structures of the Shivamoggi and generalized Raychaudhuri equations are exhibited. For certain specific values of the parameters, it is shown that hyperchaotic Lü and Qi systems are superintegrable and admit tri-Hamiltonian structures.

AB - Degenerate tri-Hamiltonian structures of the Shivamoggi and generalized Raychaudhuri equations are exhibited. For certain specific values of the parameters, it is shown that hyperchaotic Lü and Qi systems are superintegrable and admit tri-Hamiltonian structures.

KW - 4D Poisson structures

KW - Darboux polynomials

KW - first integrals

KW - generalized Raychaudhuri equations

KW - Jacobi’s last multiplier

KW - Lü system and Qi system

KW - Shivamoggi equations

KW - tri-Hamiltonian structures

UR - http://www.scopus.com/inward/record.url?scp=84963761801&partnerID=8YFLogxK

U2 - 10.1134/S1560354716020039

DO - 10.1134/S1560354716020039

M3 - Article

AN - SCOPUS:84963761801

SN - 1560-3547

VL - 21

SP - 175

EP - 188

JO - Regular and Chaotic Dynamics

JF - Regular and Chaotic Dynamics

IS - 2

ER -

Superintegrable cases of four-dimensional dynamical systems

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Keywords

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