From Pikovsky-Rabinovich Dynamical System to Lagrange-Hamilton Geometrical Objects

Neagu, Mircea; Ovsiyuk, Elena

doi:10.2478/awutm-2024-0009

Abstract

The aim of this paper is to develop, via the least squares variational method, the Lagrange-Hamilton geometries (in the sense of nonlinear connections, d-torsions and Lagrangian Yang-Mills electromagnetic-like energy) produced by Pikovsky-Rabinovich dynamical system from cryptography. From a geometrical point of view, the Jacobi stability of the Pikovsky-Rabinovich system is discussed.

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From Pikovsky-Rabinovich Dynamical System to Lagrange-Hamilton Geometrical Objects

Abstract

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