Symplectic Realizations and Symmetries of a Lotka Volterra Type System
Cristian Lazureanu, Tudor Binzar
TL;DR
This paper explores the mathematical structure of a Lotka-Volterra system by developing its biHamiltonian formulation, symplectic realizations, and symmetries to deepen understanding of its integrability and geometric properties.
Contribution
It introduces a biHamiltonian framework and symplectic realizations for a Lotka-Volterra system, highlighting its geometric and symmetry features.
Findings
BiHamiltonian structure established
Symplectic realizations constructed
Symmetries identified and analyzed
Abstract
In this paper a Lotka Volterra type system is considered. For such a system, biHamiltonian formulation, symplectic realizations and symmetries are presented.
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