Damped equations of Mathieu type

A. Ghose Choudhury; Partha Guha

doi:10.1016/j.amc.2013.11.106

Damped equations of Mathieu type

A. Ghose Choudhury, Partha Guha

Mathematics

Surendranath College

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

10 Scopus citations

Abstract

We obtain the first integrals of various extensions of the Mathieu equation by exploiting the integrable time-dependent classical dynamics introduced by Bartuccelli and Gentile (2003) [6]. We also compute the Lagrangian of the Van der Pol-Mathieu equation using Jacobi's last multiplier and consider certain coupled versions of time-dependent equations of the oscillator type.

Original language	British English
Pages (from-to)	85-93
Number of pages	9
Journal	Applied Mathematics and Computation
Volume	229
DOIs	https://doi.org/10.1016/j.amc.2013.11.106
State	Published - 25 Feb 2014

Keywords

First integrals
Jacobi's last multiplier
Lagrangians
Mathieu equation
Van der Pol-Mathieu equation

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10.1016/j.amc.2013.11.106

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title = "Damped equations of Mathieu type",

abstract = "We obtain the first integrals of various extensions of the Mathieu equation by exploiting the integrable time-dependent classical dynamics introduced by Bartuccelli and Gentile (2003) [6]. We also compute the Lagrangian of the Van der Pol-Mathieu equation using Jacobi's last multiplier and consider certain coupled versions of time-dependent equations of the oscillator type.",

keywords = "First integrals, Jacobi's last multiplier, Lagrangians, Mathieu equation, Van der Pol-Mathieu equation",

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AU - Ghose Choudhury, A.

AU - Guha, Partha

PY - 2014/2/25

Y1 - 2014/2/25

N2 - We obtain the first integrals of various extensions of the Mathieu equation by exploiting the integrable time-dependent classical dynamics introduced by Bartuccelli and Gentile (2003) [6]. We also compute the Lagrangian of the Van der Pol-Mathieu equation using Jacobi's last multiplier and consider certain coupled versions of time-dependent equations of the oscillator type.

AB - We obtain the first integrals of various extensions of the Mathieu equation by exploiting the integrable time-dependent classical dynamics introduced by Bartuccelli and Gentile (2003) [6]. We also compute the Lagrangian of the Van der Pol-Mathieu equation using Jacobi's last multiplier and consider certain coupled versions of time-dependent equations of the oscillator type.

KW - First integrals

KW - Jacobi's last multiplier

KW - Lagrangians

KW - Mathieu equation

KW - Van der Pol-Mathieu equation

UR - http://www.scopus.com/inward/record.url?scp=84891717701&partnerID=8YFLogxK

U2 - 10.1016/j.amc.2013.11.106

DO - 10.1016/j.amc.2013.11.106

M3 - Article

AN - SCOPUS:84891717701

SN - 0096-3003

VL - 229

SP - 85

EP - 93

JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

ER -

Damped equations of Mathieu type

Abstract

Keywords

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