Edit Profile (opens in new tab) Podvigina, Ol’ga Mikhaĭlovna Co-Author Distance Author ID: podvigina.olga-mikhailovna Published as: Podvigina, Olga; Podvigina, O. M.; Podvigina, O.; Podvigina, Olga M.; Podvigina, Ol’ga Mikhaĭlovna more...less Documents Indexed: 37 Publications since 1994, including 1 Additional arXiv Preprint Co-Authors: 17 Co-Authors with 22 Joint Publications 385 Co-Co-Authors all top 5 Co-Authors 14 single-authored 8 Zheligovsky, Vladislav A. 5 Ashwin, Peter 3 Castro, Sofia B. S. D. 3 Chossat, Pascal 3 Frisch, Uriel 3 Labouriau, Isabel S. 2 Chertovskih, Roman A. 2 Krasil’nikov, Pavel Sergeevich 2 Lohse, Alexander 1 Chertovskikh, R. A. 1 Chian, Abraham C.-L. 1 Gama, Silvio Marques A. 1 Gertsenshtein, Semen Yakovlevich 1 Hawker, David 1 Kuznetsov, Evgeniĭ Aleksandrovich 1 Rempel, Erico L. 1 Villone, Barbara all top 5 Serials 6 Nonlinearity 6 Physica D 5 Dynamical Systems 4 Geophysical and Astrophysical Fluid Dynamics 2 Fluid Dynamics 2 Journal of Computational Physics 1 Journal of Mathematical Physics 1 Journal of Scientific Computing 1 Celestial Mechanics and Dynamical Astronomy 1 Journal of Nonlinear Science 1 Advances in Differential Equations 1 Chaos 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Doklady Physics 1 Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp’yuternye Nauki 1 Russian Journal of Nonlinear Dynamics all top 5 Fields 16 Dynamical systems and ergodic theory (37-XX) 15 Fluid mechanics (76-XX) 9 Ordinary differential equations (34-XX) 7 Partial differential equations (35-XX) 3 Numerical analysis (65-XX) 3 Mechanics of particles and systems (70-XX) 2 Astronomy and astrophysics (85-XX) 2 Geophysics (86-XX) 1 Relativity and gravitational theory (83-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications 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 cited Publications top 5 cited Publications 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 all top 5 Cited in 26 Fields 42 Fluid mechanics (76-XX) 39 Dynamical systems and ergodic theory (37-XX) 31 Ordinary differential equations (34-XX) 20 Numerical analysis (65-XX) 19 Partial differential equations (35-XX) 13 Biology and other natural sciences (92-XX) 5 Geophysics (86-XX) 4 Probability theory and stochastic processes (60-XX) 4 Mechanics of particles and systems (70-XX) 4 Classical thermodynamics, heat transfer (80-XX) 4 Astronomy and astrophysics (85-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Nonassociative rings and algebras (17-XX) 2 Measure and integration (28-XX) 2 Difference and functional equations (39-XX) 2 Differential geometry (53-XX) 2 Optics, electromagnetic theory (78-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Group theory and generalizations (20-XX) 1 Topological groups, Lie groups (22-XX) 1 Mechanics of deformable solids (74-XX) 1 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Relativity and gravitational theory (83-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year