منابع مشابه
Standard and non-standard Lagrangians for dynamical systems
Dynamical systems described by equations of motion with the first-order time derivative (dissipative) terms of even and odd powers, and coefficients varying either in time or in space, are considered. Methods to obtain standard and nonstandard Lagrangians are presented and used to identify classes of equations of motion that admit a Lagrangian description. It is shown that there are two general...
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Recently, non-standard Lagrangians have gained a growing importance in theoretical physics and in the theory of non-linear differential equations. However, their formulations and implications in general relativity are still in their infancies despite some advances in contemporary cosmology. The main aim of this paper is to fill the gap. Though non-standard Lagrangians may be defined by a multit...
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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 Lagrangian...
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ژورنال
عنوان ژورنال: Journal of Undergraduate Reports in Physics
سال: 2019
ISSN: 2642-7451
DOI: 10.1063/1.5129244