184 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- V. Zheligovsky20 · h 13
- G. Molchan4 profiles19 · h 21
- D. Sornette3 profiles17 · h 91
- V. Pisarenko16 · h 24
- O. Podvigina14 · h 13
- R. Novikov2 profiles8 · h 25
- R. Chertovskih2 profiles7 · h 8
- U. Frisch6 · h 57
- P. Grinevich2 profiles5 · h 22
- Vladimir Keilis-Borok5 · h 8
- A. Mazel4 · h 13
- J. Lebowitz2 profiles4 · h 90
- Centre National de la Recherche ScientifiqueFR35 papers
- Russian Academy of SciencesRU26 papers
- Observatoire de la Côte d’AzurFR20 papers
- École PolytechniqueFR13 papers
- Lomonosov Moscow State UniversityRU12 papers
- University of California, Los AngelesUS12 papers
- Centre de Mathématiques Appliquées de l'École polytechniqueFR11 papers
- Landau Institute for Theoretical PhysicsRU10 papers
- The Abdus Salam International Centre for Theoretical Physics (ICTP)IT10 papers
- Universidade do PortoPT9 papers
- Institut de Physique de NiceFR8 papers
- ETH ZurichCH7 papers
12 papers · 1 filter
Pseudo-simple heteroclinic cycles in
Pascal Chossat, Alexander Lohse, Olga Podvigina
We study pseudo-simple heteroclinic cycles for a -equivariant system in with finite , and their nearby dynamics. In particular, in a first step towards a fu…
Classification and stability of simple homoclinic cycles in R^5
Olga Podvigina
The paper presents a complete study of simple homoclinic cycles in R^5. We find all symmetry groups Gamma such that a Gamma-equivariant dynamical system in R^5 can possess a simple…
Dissipative structures in a nonlinear dynamo
Andrew D. Gilbert, Yannick Ponty, Vladislav Zheligovsky
This paper considers magnetic field generation by a fluid flow in a system referred to as the Archontis dynamo: a steady nonlinear magnetohydrodynamic (MHD) state is driven by a pr…
On stability of rolls near the onset of convection in a layer with stress-free boundaries
Olga Podvigina
We consider a classical problem of linear stability of convective rolls in a plane layer with stress-free horizontal boundaries near the onset of convection. The problem has been s…
The Monge-Ampere equation: various forms and numerical methods
V. Zheligovsky, O. Podvigina, U. Frisch
We present three novel forms of the Monge-Ampere equation, which is used, e.g., in image processing and in reconstruction of mass transportation in the primordial Universe. The cen…
Dependence of magnetic field generation by thermal convection on the rotation rate: a case study
R. Chertovskih, S. M. A. Gama, O. Podvigina +1
Dependence of magnetic field generation on the rotation rate is explored by direct numerical simulation of magnetohydrodynamic convective attractors in a plane layer of conducting…
Determination of a flow generating a neutral magnetic mode
V. Zheligovsky
The problem of reconstruction of a flow of conducting incompressible fluid generating a given magnetic mode is considered. We use the magnetic induction equation to derive ordinary…
Generation of a symmetric magnetic field by thermal convection in a plane rotating layer
V. Zheligovsky
We investigate numerically magnetic field generation by thermal convection with square periodicity cells in a rotating horizontal layer of electrically-conducting fluid with stress…
Amplitude equations for weakly nonlinear two-scale perturbations of free hydromagnetic convective regimes in a rotating layer
V. Zheligovsky
Weakly non-linear stability of regimes of free hydromagnetic thermal convection in a rotating horizontal layer with free electrically conducting boundaries is considered in the Bou…
Mean-field equations for weakly nonlinear two-scale perturbations of forced hydromagnetic convection in a rotating layer
V. Zheligovsky
We consider stability of regimes of hydromagnetic thermal convection in a rotating horizontal layer with free electrically conducting boundaries, to perturbations involving large s…
Eddy diffusivity in convective hydromagnetic systems
M. Baptista, S. M. A. Gama, V. Zheligovsky
An eigenvalue equation, for linear instability modes involving large scales in a convective hydromagnetic system, is derived in the framework of multiscale analysis. We consider a…
Dynamo effect in parity-invariant flow with large and moderate separation of scales
V. A. Zheligovsky, O. M. Podvigina, U. Frisch
It is shown that non-helical (more precisely, parity-invariant) flows capable of sustaining a large-scale dynamo by the negative magnetic eddy diffusivity effect are quite common.…