Lie Algebraic Approach and Complex Invariant Coupled Oscillator Systems

Lie Algebraic Approach and Complex Invariant Coupled Oscillator Systems

Jasvinderpal Singh Virdi

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Panjab University

Lie Algebraic Approach and Complex Invariant Coupled Oscillator Systems

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Abstract

In classical mechanics, the system of coupled harmonic oscillators is shown to possess the symmetry applicable toa six-dimensional space in complex coordinates, twodimensional phase space consisting of two position and twomomentum variables. In search into the features of a dynamical system, with the possibility of its complex invariant,we explore this dynamical systems. Dynamical algebraic approach is used to study two-dimensional complex systems(coupled oscillator system) on the extended complex phase plane (ECPS). Scope and importance of invariants in theanalysis of complex trajectories for dynamical systems is discussed.

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Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

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No ethics committee approval was required for this article type.

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Not applicable for this article.

How to Cite This Article

Jasvinderpal Singh Virdi. 2013. \u201cLie Algebraic Approach and Complex Invariant Coupled Oscillator Systems\u201d. Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 13 (GJSFR Volume 13 Issue F7): .

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GJSFR Volume 13 Issue F7
Pg. 21- 27

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Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

Keywords

complex hamiltonian complex invariant

Submission ReceivedJuly 3, 2013
Peer Review Double Blind
Handling Editor
Accepted July 29, 2013
Published August 9, 2013

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v1.2

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August 28, 2013

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Article Matrices

Total Score: 101

Country: India

Subject: Global Journal of Science Frontier Research - F: Mathematics & Decision

Authors: Jasvinderpal Singh Virdi (PhD/Dr. count: 0)

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Publish Date: 2013 08, Wed

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Total Views: 4798

Total Downloads: 2542

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