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Podvigina, Ol’ga Mikhaĭlovna

Author ID: podvigina.olga-mikhailovna Recent zbMATH articles by "Podvigina, Ol’ga Mikhaĭlovna"
Published as: Podvigina, Olga; Podvigina, O. M.; Podvigina, O.; Podvigina, Olga M.; Podvigina, Ol’ga Mikhaĭlovna
Documents Indexed: 37 Publications since 1994, including 1 Additional arXiv Preprint
Co-Authors: 17 Co-Authors with 22 Joint Publications
385 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

33 Publications have been cited 204 times in 108 Documents Cited by Year
On local attraction properties and a stability index for heteroclinic connections. Zbl 1219.37021
Podvigina, Olga; Ashwin, Peter
29
2011
Stability and bifurcations of heteroclinic cycles of type Z. Zbl 1259.37015
Podvigina, Olga
22
2012
Hopf bifurcation with cubic symmetry and instability of ABC flow. Zbl 1116.37310
Ashwin, Peter; Podvigina, Olga
15
2003
On the nonlinear stability of the 1:1:1 ABC flow. Zbl 0817.76021
Podvigina, O.; Pouquet, A.
12
1994
Simple heteroclinic cycles in \({\mathbb R}^4\). Zbl 1351.34050
Podvigina, Olga; Chossat, Pascal
11
2015
The Cauchy-Lagrangian method for numerical analysis of Euler flow. Zbl 1354.65172
Podvigina, O.; Zheligovsky, V.; Frisch, U.
10
2016
Classification and stability of simple homoclinic cycles in \(\mathbb R^5\). Zbl 1278.34051
Podvigina, Olga
10
2013
The Monge-Ampère equation: various forms and numerical solution. Zbl 1194.65141
Zheligovsky, V.; Podvigina, O.; Frisch, U.
10
2010
A heteroclinic network in mode interaction with symmetry. Zbl 1205.37043
Castro, Sofia B. S. D.; Labouriau, Isabel S.; Podvigina, Olga
8
2010
Asymptotic stability of pseudo-simple heteroclinic cycles in \(\mathbb R^4\). Zbl 1386.34083
Podvigina, Olga; Chossat, Pascal
8
2017
Spatially-periodic steady solutions to the three-dimensional Navier-Stokes equation with the \(ABC\)-force. Zbl 0943.76019
Podvigina, Olga M.
7
1999
The \(1:\sqrt 2\) mode interaction and heteroclinic networks in Boussinesq convection. Zbl 1141.76453
Podvigina, Olga; Ashwin, Peter
7
2007
Stability of a heteroclinic network and its cycles: a case study from Boussinesq convection. Zbl 1411.34079
Podvigina, Olga; Castro, Sofia B. S. D.; Labouriau, Isabel S.
6
2019
Asymptotic stability of robust heteroclinic networks. Zbl 1443.37023
Podvigina, Olga; Castro, Sofia B. S. D.; Labouriau, Isabel S.
5
2020
Modelling instability \(ABC\) flow using a mode interaction between steady and Hopf bifurcations with rotational symmetries of the cube. Zbl 1091.35520
Podvigina, Olga; Ashwin, Peter; Hawker, David
4
2006
Magnetic field generation by convective flows in a plane layer: the dependence on the Prandtl numbers. Zbl 1505.76119
Podvigina, O. M.
4
2008
Dependence of magnetic field generation by thermal convection on the rotation rate: a case study. Zbl 1248.76152
Chertovskih, R.; Gama, S. M. A.; Podvigina, O.; Zheligovsky, V.
4
2010
An optimized iterative method for numerical solution of large systems of equations based on the extremal property of zeroes of Chebyshev polynomials. Zbl 0908.65036
Podvigina, O. M.; Zheligovsky, V. A.
3
1997
Pseudo-simple heteroclinic cycles in \(\mathbb{R}^4\). Zbl 1390.37046
Chossat, Pascal; Lohse, Alexander; Podvigina, Olga
3
2018
Instability of flows near the onset of convection in a rotating layer with stress-free horizontal boundaries. Zbl 1505.76033
Podvigina, Olga
3
2008
Noise-induced switching near a depth two heteroclinic network and an application to Boussinesq convection. Zbl 1311.37013
Ashwin, Peter; Podvigina, Olga
3
2010
A route to magnetic field reversals: an example of an ABC-forced nonlinear dynamo. Zbl 1206.86036
Podvigina, O. M.
3
2003
On the evolution of the angle of inclination of the axis of rotation of a planet in a planetary system in the nonresonance case. Zbl 1473.70025
Krasil’nikov, Pavel Sergeevich; Podvigina, Ol’ga Mikhaĭlovna
3
2018
Simple heteroclinic networks in \(\mathbb R^4\). Zbl 1423.34045
Podvigina, Olga; Lohse, Alexander
3
2019
Investigation of the ABC flow instability with application of centre manifold reduction. Zbl 1136.37323
Podvigina, O. M.
2
2006
Optimal transport by omni-potential flow and cosmological reconstruction. Zbl 1274.83151
Frisch, Uriel; Podvigina, Olga; Villone, Barbara; Zheligovsky, Vladislav
2
2012
Numerical evidence of breaking of vortex lines in an ideal fluid. Zbl 1142.76350
Kuznetsov, Evgeniy A.; Podvigina, Olga M.; Zheligovsky, Vladislav A.
1
2002
Generation of a magnetic field by three-dimensional convective flows of a conducting fluid in a rotating horizontal layer. Zbl 1179.76091
Gertsenshteĭn, S. Ya.; Zheligovskiĭ, V. A.; Podvigina, O. M.; Chertovskikh, R. A.
1
2007
Two-dimensional heteroclinic connections in the generalized Lotka-Volterra system. Zbl 1525.37024
Podvigina, Olga
1
2023
Impact of a Moon on the evolution of a planet’s rotation axis: a non-resonant case. Zbl 1490.70059
Podvigina, O. M.; Krasilnikov, P. S.
1
2022
Instability of small-amplitude convective flows in a rotating layer with free boundaries. Zbl 1200.76073
Podvigina, O. M.
1
2006
Convective stability of a rotating conducting fluid layer in an external magnetic field. Zbl 1213.76087
Podvigina, O. M.
1
2009
Existence, uniqueness, and analyticity of space-periodic solutions to the regularized long-wave equation. Zbl 1292.35227
Chertovskih, R.; Chian, A. C.-L.; Podvigina, O.; Rempel, E. L.; Zheligovsky, V.
1
2014
Two-dimensional heteroclinic connections in the generalized Lotka-Volterra system. Zbl 1525.37024
Podvigina, Olga
1
2023
Impact of a Moon on the evolution of a planet’s rotation axis: a non-resonant case. Zbl 1490.70059
Podvigina, O. M.; Krasilnikov, P. S.
1
2022
Asymptotic stability of robust heteroclinic networks. Zbl 1443.37023
Podvigina, Olga; Castro, Sofia B. S. D.; Labouriau, Isabel S.
5
2020
Stability of a heteroclinic network and its cycles: a case study from Boussinesq convection. Zbl 1411.34079
Podvigina, Olga; Castro, Sofia B. S. D.; Labouriau, Isabel S.
6
2019
Simple heteroclinic networks in \(\mathbb R^4\). Zbl 1423.34045
Podvigina, Olga; Lohse, Alexander
3
2019
Pseudo-simple heteroclinic cycles in \(\mathbb{R}^4\). Zbl 1390.37046
Chossat, Pascal; Lohse, Alexander; Podvigina, Olga
3
2018
On the evolution of the angle of inclination of the axis of rotation of a planet in a planetary system in the nonresonance case. Zbl 1473.70025
Krasil’nikov, Pavel Sergeevich; Podvigina, Ol’ga Mikhaĭlovna
3
2018
Asymptotic stability of pseudo-simple heteroclinic cycles in \(\mathbb R^4\). Zbl 1386.34083
Podvigina, Olga; Chossat, Pascal
8
2017
The Cauchy-Lagrangian method for numerical analysis of Euler flow. Zbl 1354.65172
Podvigina, O.; Zheligovsky, V.; Frisch, U.
10
2016
Simple heteroclinic cycles in \({\mathbb R}^4\). Zbl 1351.34050
Podvigina, Olga; Chossat, Pascal
11
2015
Existence, uniqueness, and analyticity of space-periodic solutions to the regularized long-wave equation. Zbl 1292.35227
Chertovskih, R.; Chian, A. C.-L.; Podvigina, O.; Rempel, E. L.; Zheligovsky, V.
1
2014
Classification and stability of simple homoclinic cycles in \(\mathbb R^5\). Zbl 1278.34051
Podvigina, Olga
10
2013
Stability and bifurcations of heteroclinic cycles of type Z. Zbl 1259.37015
Podvigina, Olga
22
2012
Optimal transport by omni-potential flow and cosmological reconstruction. Zbl 1274.83151
Frisch, Uriel; Podvigina, Olga; Villone, Barbara; Zheligovsky, Vladislav
2
2012
On local attraction properties and a stability index for heteroclinic connections. Zbl 1219.37021
Podvigina, Olga; Ashwin, Peter
29
2011
The Monge-Ampère equation: various forms and numerical solution. Zbl 1194.65141
Zheligovsky, V.; Podvigina, O.; Frisch, U.
10
2010
A heteroclinic network in mode interaction with symmetry. Zbl 1205.37043
Castro, Sofia B. S. D.; Labouriau, Isabel S.; Podvigina, Olga
8
2010
Dependence of magnetic field generation by thermal convection on the rotation rate: a case study. Zbl 1248.76152
Chertovskih, R.; Gama, S. M. A.; Podvigina, O.; Zheligovsky, V.
4
2010
Noise-induced switching near a depth two heteroclinic network and an application to Boussinesq convection. Zbl 1311.37013
Ashwin, Peter; Podvigina, Olga
3
2010
Convective stability of a rotating conducting fluid layer in an external magnetic field. Zbl 1213.76087
Podvigina, O. M.
1
2009
Magnetic field generation by convective flows in a plane layer: the dependence on the Prandtl numbers. Zbl 1505.76119
Podvigina, O. M.
4
2008
Instability of flows near the onset of convection in a rotating layer with stress-free horizontal boundaries. Zbl 1505.76033
Podvigina, Olga
3
2008
The \(1:\sqrt 2\) mode interaction and heteroclinic networks in Boussinesq convection. Zbl 1141.76453
Podvigina, Olga; Ashwin, Peter
7
2007
Generation of a magnetic field by three-dimensional convective flows of a conducting fluid in a rotating horizontal layer. Zbl 1179.76091
Gertsenshteĭn, S. Ya.; Zheligovskiĭ, V. A.; Podvigina, O. M.; Chertovskikh, R. A.
1
2007
Modelling instability \(ABC\) flow using a mode interaction between steady and Hopf bifurcations with rotational symmetries of the cube. Zbl 1091.35520
Podvigina, Olga; Ashwin, Peter; Hawker, David
4
2006
Investigation of the ABC flow instability with application of centre manifold reduction. Zbl 1136.37323
Podvigina, O. M.
2
2006
Instability of small-amplitude convective flows in a rotating layer with free boundaries. Zbl 1200.76073
Podvigina, O. M.
1
2006
Hopf bifurcation with cubic symmetry and instability of ABC flow. Zbl 1116.37310
Ashwin, Peter; Podvigina, Olga
15
2003
A route to magnetic field reversals: an example of an ABC-forced nonlinear dynamo. Zbl 1206.86036
Podvigina, O. M.
3
2003
Numerical evidence of breaking of vortex lines in an ideal fluid. Zbl 1142.76350
Kuznetsov, Evgeniy A.; Podvigina, Olga M.; Zheligovsky, Vladislav A.
1
2002
Spatially-periodic steady solutions to the three-dimensional Navier-Stokes equation with the \(ABC\)-force. Zbl 0943.76019
Podvigina, Olga M.
7
1999
An optimized iterative method for numerical solution of large systems of equations based on the extremal property of zeroes of Chebyshev polynomials. Zbl 0908.65036
Podvigina, O. M.; Zheligovsky, V. A.
3
1997
On the nonlinear stability of the 1:1:1 ABC flow. Zbl 0817.76021
Podvigina, O.; Pouquet, A.
12
1994
all top 5

Cited by 145 Authors

20 Podvigina, Ol’ga Mikhaĭlovna
10 Castro, Sofia B. S. D.
9 Lohse, Alexander
8 Ashwin, Peter
6 Besse, Nicolas
5 Labouriau, Isabel S.
4 Frisch, Uriel
4 Garrido-da-Silva, Liliana
4 Postlethwaite, Claire M.
4 Zheligovsky, Vladislav A.
3 Chertovskih, Roman A.
3 Rodrigues, Alexandre A. P.
2 Balanov, Zalman I.
2 Bick, Christian
2 Brandt, Luca
2 Chossat, Pascal
2 Cossette, Jean-François
2 Eckstein, Michał
2 Evstigneev, Nikolai M.
2 Froese, Brittany D.
2 Keller, Gerhard
2 Krasil’nikov, Pavel Sergeevich
2 Krawcewicz, Wieslaw Z.
2 Magnitskii, Nikolai Alexandrovich
2 Miller, Tomasz
2 Nave, Jean-Christophe
2 Oberman, Adam M.
2 Rachinskii, Dmitrii I.
2 Roslan, Ummu Atiqah Mohd
2 Rucklidge, Alastair M.
2 Scapin, Nicoló
2 Schneider, Kai
2 Smolarkiewicz, Piotr K.
2 Tavelli, Maurizio
2 Yin, Xi Yuan
1 Agelas, Leo
1 Andreev, Viktor Konstantinovich
1 Awanou, Gerard Michel
1 Bahari, Mustapha
1 Barba, Federico Dalla
1 Bekezhanova, Viktoriya B.
1 Ben Belgacem, Fethi
1 Bešo, Emin
1 Borisyuk, Roman M.
1 Boscheri, Walter
1 Bouya, Ismaël
1 Bukina, Elena
1 Burylko, O. A.
1 Burylko, Oleksandr
1 Caldas, Iberê L.
1 Castro, Luísa
1 Chacón, Luis
1 Charbonneau, Paul
1 Chawanya, Tsuyoshi
1 Chertovskikh, R. A.
1 Chian, Abraham C.-L.
1 Chimanski, Emanuel V.
1 Citro, Vincenzo
1 Costa, Pedro
1 Crialesi-Esposito, Marco
1 Das, Alaka
1 Delzanno, Gian Luca
1 Demou, Andreas D.
1 Dimarco, Giacomo
1 Dormy, Emmanuel
1 Dumbser, Michael
1 Duwig, Christophe
1 Eyink, Gregory L.
1 Fabre, David
1 Fan, Yanlong
1 Ferreira, Ana M. J.
1 Finn, John M.
1 Galloway, David
1 Gama, Silvio Marques A.
1 Gertsenshtein, Semen Yakovlevich
1 Gilbert, Andrew D.
1 Glimm, Tilmann
1 Habbal, Abderrahmane
1 Han, Daozhi
1 Hawker, David
1 Henscheid, Nick
1 Hernandez, Matthew
1 Hertel, Tobias
1 Hooton, Edward W.
1 Horodecki, Paweł
1 Horodecki, Ryszard
1 Jeong, Valerie
1 Jiménez-González, J. I.
1 Jones, Samuel E.
1 Kalabušić, Senada
1 Karimi, Sohrab
1 Kazanovich, Yakov B.
1 Larssen, H. S.
1 Li, Xiaole
1 Liao, Shijun
1 Liu, Jun
1 Liz, Eduardo
1 Lois-Prados, Cristina
1 Lorite-Díez, Manuel
1 Lu, Kai
...and 45 more Authors
all top 5

Cited in 46 Serials

12 Dynamical Systems
10 Physica D
8 Journal of Computational Physics
7 Journal of Fluid Mechanics
7 Nonlinearity
5 Geophysical and Astrophysical Fluid Dynamics
5 Chaos
4 SIAM Journal on Applied Dynamical Systems
3 Journal of Nonlinear Science
2 Communications in Mathematical Physics
2 Computer Methods in Applied Mechanics and Engineering
2 Fluid Dynamics
2 Journal of Mathematical Analysis and Applications
2 Journal of Dynamics and Differential Equations
2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
2 Physics of Fluids
2 Journal of Applied Nonlinear Dynamics
1 Archive for Rational Mechanics and Analysis
1 Computers and Fluids
1 Computer Physics Communications
1 Chaos, Solitons and Fractals
1 Journal of Geometry and Physics
1 BIT
1 International Journal of Game Theory
1 Journal of Approximation Theory
1 Journal of Computational and Applied Mathematics
1 Journal of the London Mathematical Society. Second Series
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Acta Applicandae Mathematicae
1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
1 Applications of Mathematics
1 International Journal of Computer Mathematics
1 Celestial Mechanics and Dynamical Astronomy
1 Journal of Mathematical Sciences (New York)
1 Computational and Applied Mathematics
1 Journal of Applied Mechanics and Technical Physics
1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 LMS Journal of Computation and Mathematics
1 Communications in Nonlinear Science and Numerical Simulation
1 Annales Henri Poincaré
1 Discrete and Continuous Dynamical Systems. Series B
1 Acta Mathematica Scientia. Series B. (English Edition)
1 Discrete and Continuous Dynamical Systems. Series S
1 ISRN Applied Mathematics
1 Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp’yuternye Nauki
1 Russian Journal of Nonlinear Dynamics

Citations by Year