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

Mircea Neagu

Mircea Neagu

Department of Mathematics and Informatics, Transilvania University of BraşovRomania
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Neagu, Mircea
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Elena Ovsiyuk

Elena Ovsiyuk

Mozyr State Pedagogical University named after I.P. ShamyakinBelarus
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Ovsiyuk, Elena
  
Nov 21, 2024
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Published Online: Nov 21, 2024
Page range: 123 - 129
Received: Sep 01, 2024
Accepted: Nov 11, 2024
DOI: https://doi.org/10.2478/awutm-2024-0009
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© 2024 Mircea Neagu et al., published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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.

Language:
English
Publication timeframe:
Volume Open
Journal Subjects:
Mathematics, General Mathematics
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