On the algebraic properties of difference approximations of Hamiltonian systems

In this paper, we examine difference approximations for dynamic systems characterized by polynomial Hamiltonians, specifically focusing on cases where these approximations establish birational correspondences between the initial and final states of the system. Difference approximations are commonly...

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Veröffentlicht in:	Discrete and continuous models and applied computational science Jg. 33; H. 3; S. 260 - 271
Hauptverfasser:	Lapshenkova, Lyubov O., Malykh, Mikhail D., Matyukhina, Elena N.
Format:	Journal Article
Sprache:	Englisch
Veröffentlicht:	Peoples’ Friendship University of Russia (RUDN University) 15.10.2025
Schlagworte:	appelroth quadratization birational map hamiltonian system kahan method
ISSN:	2658-4670, 2658-7149
Online-Zugang:	Volltext
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