149 citations
- New Jersey Institute of TechnologyUS4 papers
- Technical University of DenmarkDK3 papers
- Russian Academy of SciencesRU2 papers
- European Incoherent Scatter Scientific AssociationSE1 paper
- Institut Camille JordanFR1 paper
- Institute of PhysicsPL1 paper
- KTH Royal Institute of TechnologySE1 paper
- Max Planck Institute for Extraterrestrial PhysicsDE1 paper
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- National Agency for New Technologies, Energy and Sustainable Economic DevelopmentIT1 paper
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- Southwestern Institute of PhysicsCN1 paper
19 papers
Rank 2 distributions of Monge equations: symmetries, equivalences, extensions
Ian Anderson, Boris Kruglikov
By developing the Tanaka theory for rank 2 distributions, we completely classify classical Monge equations having maximal finite-dimensional symmetry algebras with fixed (albeit ar…
Geodesic Webs of Hypersurfaces
Vladislav V. Goldberg, Valentin V. Lychagin
In the present paper we study geometric structures associated with webs of hypersurfaces. We prove that with any geodesic (n+2)-web on an n-dimensional manifold there is naturally…
Feedback Differential Invariants
Valentin Lychagin
The problem of feedback equivalence for control systems is considered. An algebra of differential invariants and criteria for the feedback equivalence for regular control systems a…
Geodesic Webs and PDE Systems of Euler Equations
Vladislav V. Goldberg, Valentin V. Lychagin
We find necessary and sufficient conditions for the foliation defined by level sets of a function f(x_{1},...,x_{n}) to be totally geodesic in a torsion-free connection and apply t…
Geodesic Webs on a Two-Dimensional Manifold and Euler Equations
Vladislav V. Goldberg, Valentin V. Lychagin
We prove that any planar 4-web defines a unique projective structure in the plane in such a way that the leaves of the foliations are geodesics of this projective structure. We als…
Modeling temporal fluctuations in avalanching systems
Martin Rypdal, Kristoffer Rypdal
We demonstrate how to model the toppling activity in avalanching systems by stochastic differential equations (SDEs). The theory is developed as a generalization of the classical m…