General conditions for the existence of non-standard Lagrangians for dissipative dynamical systems

Z.E. Musielak

Chaos, Solitons & Fractals, 2009, vol. 42, issue 5, 2645-2652

Abstract: Equations of motion describing dissipative dynamical systems with coefficients varying either in time or in space are considered. To identify the equations that admit a Lagrangian description, two classes of non-standard Lagrangians are introduced and general conditions required for the existence of these Lagrangians are determined. The conditions are used to obtain some non-standard Lagrangians and derive equations of motion resulting from these Lagrangians.

Date: 2009
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Citations: View citations in EconPapers (6)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:42:y:2009:i:5:p:2645-2652

DOI: 10.1016/j.chaos.2009.03.171

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