45 citations · 114 across the 31 of their papers we have counts for
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Normal shift in general Lagrangian dynamics
Ruslan Sharipov
It is well known that Lagrangian dynamical systems naturally arise in describing wave front dynamics in the limit of short waves (which is called pseudoclassical limit or limit of…
Dynamical systems admitting normal shift and wave equations
Ruslan Sharipov
High frequency limit for most of wave phenomena is known as quasiclassical limit or ray optics limit. Propagation of waves in this limit is described in terms of wave fronts and ra…
A note on Newtonian, Lagrangian and Hamiltonian dynamical systems in Riemannian manifolds
Ruslan Sharipov
Newtonian, Lagrangian, and Hamiltonian dynamical systems are well formalized mathematically. They give rise to geometric structures describing motion of a point in smooth manifolds…
Second problem of globalization in the theory of dynamical systems admitting the normal shift of hypersurfaces
Ruslan Sharipov
Problem of global integration of geometric structures arising in the theory of dynamical systems admitting the normal shift is considered. In the case when such integration is poss…
First problem of globalization in the theory of dynamical systems admitting the normal shift of hypersurfaces
Ruslan Sharipov
Formula for the force field of Newtonian dynamical systems admitting the normal shift of hypersurfaces in Riemannian manifolds is considered. Problem of globalization for geometric…