2019
Том 71
№ 11

All Issues

Category of topological jet manifolds and certain applications in the theory of nonlinear infinite-dimensional dynamical systems

Fil' B. N., Prykarpatsky A. K.

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Abstract

A new category of topological jet manifolds is proposed for the purpose of investigating exact finite-dimensional approximations of nonlinear dynamical systems on infinite-dimensional functional manifolds. Differential geometry structures on these manifolds and their applications to the theory of integrability in quadratures of nonlinear dynamical Lax-type systems are studied.

English version (Springer): Ukrainian Mathematical Journal 44 (1992), no. 9, pp 1136-1148.

Citation Example: Fil' B. N., Prykarpatsky A. K. Category of topological jet manifolds and certain applications in the theory of nonlinear infinite-dimensional dynamical systems // Ukr. Mat. Zh. - 1992. - 44, № 9. - pp. 1242–1256.

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