Vladimir Balan

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1 We develop the method of anholonomic frames with associated nonlinear connection (in brief, N–connection) structure and show explicitly how geometries with local anisotropy (various type of Finsler–Lagrange–Cartan–Hamilton spaces) can be modelled on the metric–affine spaces. There are formulated the criteria when such generalized Finsler metrics are(More)
The paper investigates the linear stability of mammalian physiology time-delayed flow for three distinct cases (normal cell cycle, a neoplasmic cell cycle, and multiple cell arrest states), for the Dirac, uniform, and exponential distributions. For the Dirac distribution case, it is shown that the model exhibits a Hopf bifurcation for certain values of the(More)
The paper determines basic relations between the metric canonically induced by the Berwald-Moor Finsler structure, the normalized flag Generalized Lagrange metric and the Pavlov poly-scalar product. Then, in the framework of vector bundles endowed with (h, v)−metrics, the extended Einstein equations are obtained for both the associated Generalized Lagrange(More)
Within the framework of jet spaces endowed with non-linear connection, are characterized the special curves of these spaces (h-paths, v-paths and geodesics, Lorentz-type paths and electromagnetic Lagrangian-action minimizers) which extend the Riemannian classical electromagnetic field model. Remarkable special cases outline the extension and computer-drawn(More)
Tangent fibrations generate a ”multi-floored tower”, while raising from one of its floors to the next one, one practically reiterates the previously performed actions. In this way, the ”tower” admits a laddershaped structure. Raising to the first floors suffices for iteratively performing the subsequent steps. The paper mainly studies the tangent functor.(More)
The first part of the paper describes the harmonicity equations for harmonic maps from Riemann surfaces to Lie groups which carry a left-invariant pseudoRiemannian structure; §3 includes basic facts about loop groups and their factorizations; §4 presents the formalism of [10] and an extension of Wu’s formula to the case of generalized harmonic maps into(More)