Applications of nonlocal constants of motion in Lagrangian Dynamics
Gianluca Gorni, Gaetano Zampieri
TL;DR
This paper presents a method to generate nonlocal constants of motion for Lagrangian systems and demonstrates its application to dissipative systems, the Lane-Emden equation, and the Maxwell-Bloch system with RWA.
Contribution
It introduces a new recipe for deriving nonlocal constants of motion in Lagrangian dynamics and applies it to various complex systems.
Findings
Derived useful nonlocal constants of motion for specific systems
Enhanced understanding of dissipative and oscillatory systems
Provided a systematic approach for Lagrangian systems
Abstract
We give a recipe to generate "nonlocal" constants of motion for ODE Lagrangian systems and we apply the method to find useful constants of motion for dissipative system, for the Lane-Emden equation, and for the Maxwell-Bloch system with RWA.
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Taxonomy
TopicsNonlinear Waves and Solitons · Numerical methods for differential equations · Nonlinear Photonic Systems