7 papers
Steffen's flexible polyhedron is embedded. A proof via symbolic computations
Victor Alexandrov, Evgenii Volokitin
A polyhedron is flexible if it can be continuously deformed preserving the shape and dimensions of every its face. In the late 1970's Klaus Steffen constructed a sphere-homeomorphi…
A flexible polyhedron without self-intersections in Euclidean 3-space, all of whose dihedral angles change during a flex
Victor Alexandrov, Evgenii Volokitin
We construct a sphere-homeomorphic flexible self-intersection free polyhedron in Euclidean 3-space such that all its dihedral angles change during some flex of this polyhedron. The…
The cubic Darboux systems with a non-elementary singular point at the Poincaré equator
Evgenii P. Volokitin
We study the global behavior of the trajectories of the polynomial system . Our study is related to the pap…
Phase Portraits of Polynomial Systems Satisfying the Caushy - Riemann Conditions
E. P. Volokitin, S. A. Treskov, V. V. Cheresiz
We study plane quadratic and cubic differential systems satisfying the Caushy - Riemann conditions. We construct all global topologically equivalent phase portraits of the systems.
A global mathematical investigation of a predator-prey model
S. A. Treskov, E. P. Volokitin
We construct a global bifurcation diagram of the plane differential system which describes…
About a conjecture for uniformly isochronous polynomial centers
E. P. Volokitin
We study a specific family of uniformly isochronous polynomial systems. Our results permit to solve a problem about centers of such systems.