Maxim V. Shamolin, "On Integrability of Certain Classes of Variable Dissipation Systems," Proof, vol. 4, pp. 75-84, 2024, DOI:10.37394/232020.2024.4.6
Maxim V. Shamolin. On Integrability of Certain Classes of Variable Dissipation Systems.
Proof. 2024;4:75-84. 10.37394/232020.2024.4.6
PROOF
Print ISSN: 2944-9162, E-ISSN: 2732-9941 An Open Access International Journal of Applied Science and Engineering
Volume 4, 2024
On Integrability of Certain Classes of Variable Dissipation Systems
Author:
Abstract: We study the non-conservative systems for which the methods for studying, for example, Hamiltonian
systems is not applicable in general. Therefore, for such systems, it is necessary, in some sense, to “directly”
integrate the main equation of dynamics. Herewith, we offer more universal interpretation of both obtained cases
and new ones of complete integrability in transcendental functions in dynamics in a non-conservative force field.
Pages: 75-84 DOI: 10.37394/232020.2024.4.6WSEAS Transactions on Proof, ISSN / E-ISSN: 2944-9162 / 2732-9941, Volume 4, 2024, Art. #6
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