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Conference publicationsAbstractsXXII conferencePseudogradient systems as classical nonrelativistic systems with pseudo-Euclidean phase space: their properties and substantial examplesRussian Federation, 142290 Pushchino, Institute of Theoretical and Experimental Biophysics 1 pp. (accepted)The class of pseudogradient dynamic systems is introduced. The systems of this class represent classical nonrelativistic systems whose phase spaces are naturally endowed with the pseudo-riemannian metric; this metric in some physically interesting cases is globally reduced to the pseudo-Euclidean one. Properties of the pseudogradient systems are considered and substantial examples are presented; the examples include linear harmonic oscillator, oscillator with a viscous linear/nonlinear friction, and some nonlinear technical and biophysical pulse generators together with their continuous analogues that support propagation of autowaves. The pseudo-Euclidean space, which has come in the physics in connection with the special theory of a relativity, in the presented examples appears again - however already in absolutely other physical context.
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