Yuri A. Kuznetsov

Publication Activity (10 Years)

Years Active: 1994-2024
Publications (10 Years): 11

Top Topics

Data Dependencies

Prime Implicates

Differential Equations

Top Venues

SIAM J. Appl. Dyn. Syst.

Int. J. Bifurc. Chaos

J. Comput. Phys.

Publications

Len Spek, Stephan A. van Gils, Yuri A. Kuznetsov, Mónika Polner
Hopf Bifurcations of Two Population Neural Fields on the Sphere with Diffusion and Distributed Delays. SIAM J. Appl. Dyn. Syst. 23 (3) (2024)
Maikel M. Bosschaert, Yuri A. Kuznetsov
Interplay between Normal Forms and Center Manifold Reduction for Homoclinic Predictors near Bogdanov-Takens Bifurcation. SIAM J. Appl. Dyn. Syst. 23 (1) (2024)
Maikel M. Bosschaert, Yuri A. Kuznetsov
Bifurcation Analysis of Bogdanov-Takens Bifurcations in Delay Differential Equations. SIAM J. Appl. Dyn. Syst. 23 (1) (2024)
Bram Lentjes, Mattias Windmolders, Yuri A. Kuznetsov
Periodic Center Manifolds for Nonhyperbolic Limit Cycles in ODEs. Int. J. Bifurc. Chaos 33 (15) (2023)
Maikel M. Bosschaert, Yuri A. Kuznetsov
Bifurcation analysis of Bogdanov-Takens bifurcations in delay differential equations. CoRR (2022)
Yuri A. Kuznetsov, Joost Hooyman
Bifurcations of Heteroclinic Contours in Two-Parameter Planar Systems: Overview and Explicit Examples. Int. J. Bifurc. Chaos 31 (12) (2021)
Maikel M. Bosschaert, Yuri A. Kuznetsov
Interplay between normal forms and center manifold reduction for homoclinic predictors near Bogdanov-Takens bifurcation. CoRR (2021)
Maikel M. Bosschaert, Sebastiaan G. Janssens, Yuri A. Kuznetsov
Switching to Nonhyperbolic Cycles from Codimension Two Bifurcations of Equilibria of Delay Differential Equations. SIAM J. Appl. Dyn. Syst. 19 (1) (2020)
Niels Neirynck, Willy Govaerts, Yuri A. Kuznetsov, Hil G. E. Meijer
Numerical Bifurcation Analysis of Homoclinic Orbits Embedded in One-Dimensional Manifolds of Maps. ACM Trans. Math. Softw. 44 (3) (2018)
Evgeny Kikinzon, Yuri A. Kuznetsov, Konstantin Lipnikov, Mikhail J. Shashkov
Approximate static condensation algorithm for solving multi-material diffusion problems on meshes non-aligned with material interfaces. J. Comput. Phys. 347 (2017)
B. Al Hdaibat, Willy Govaerts, Yuri A. Kuznetsov, Hil G. E. Meijer
Initialization of Homoclinic Solutions near Bogdanov-Takens Points: Lindstedt-Poincaré Compared with Regular Perturbation Method. SIAM J. Appl. Dyn. Syst. 15 (2) (2016)
Yuri A. Kuznetsov, Hil G. E. Meijer, B. Al Hdaibat, Willy Govaerts
Accurate Approximation of Homoclinic Solutions in Gray-Scott Kinetic Model. Int. J. Bifurc. Chaos 25 (9) (2015)
Yuri A. Kuznetsov, Hil G. E. Meijer, B. Al Hdaibat, Willy Govaerts
Improved Homoclinic Predictor for Bogdanov-Takens Bifurcation. Int. J. Bifurc. Chaos 24 (4) (2014)
David Bindel, Mark J. Friedman, Willy Govaerts, J. Hughes, Yuri A. Kuznetsov
Numerical computation of bifurcations in large equilibrium systems in matlab. J. Comput. Appl. Math. 261 (2014)
Virginie De Witte, Fabio Della Rossa, Willy Govaerts, Yuri A. Kuznetsov
Numerical Periodic Normalization for Codim 2 Bifurcations of Limit Cycles: Computational Formulas, Numerical Implementation, and Examples. SIAM J. Appl. Dyn. Syst. 12 (2) (2013)
Yuri A. Kuznetsov, Sergey I. Repin
Guaranteed lower bounds of the smallest eigenvalues of elliptic differential operators. J. Num. Math. 21 (2) (2013)
Virginie De Witte, Willy Govaerts, Yuri A. Kuznetsov, Mark J. Friedman
Interactive Initialization and Continuation of Homoclinic and Heteroclinic Orbits in MATLAB. ACM Trans. Math. Softw. 38 (3) (2012)
Taoufik Bakri, Yuri A. Kuznetsov, Ferdinand Verhulst, Eusebius J. Doedel
Multiple solutions of a Generalized singular perturbed Bratu Problem. Int. J. Bifurc. Chaos 22 (4) (2012)
Yuri A. Kuznetsov
Approximations with piece-wise constant fluxes for diffusion equations. J. Num. Math. 19 (4) (2011)
Fabio Dercole, Fabio Della Rossa, Alessandro Colombo, Yuri A. Kuznetsov
Two Degenerate Boundary Equilibrium Bifurcations in Planar Filippov Systems. SIAM J. Appl. Dyn. Syst. 10 (4) (2011)
Ronald H. W. Hoppe, Yuri A. Kuznetsov
Preface. J. Num. Math. 17 (1) (2009)
Yuri A. Kuznetsov
Preconditioned iterative methods for algebraic saddle-point problems. J. Num. Math. 17 (1) (2009)
Eusebius J. Doedel, Bob W. Kooi, G. A. K. van Voorn, Yuri A. Kuznetsov
Continuation of Connecting orbits in 3D-ODES (II) : Cycle-to-Cycle Connections. Int. J. Bifurc. Chaos 19 (1) (2009)
Petri T. Piiroinen, Yuri A. Kuznetsov
An event-driven method to simulate Filippov systems with accurate computing of sliding motions. ACM Trans. Math. Softw. 34 (3) (2008)
Yuri A. Kuznetsov, Robert Sacker
Neimark-Sacker bifurcation. Scholarpedia 3 (5) (2008)
Yuri A. Kuznetsov
Saddle-node bifurcation for maps. Scholarpedia 3 (4) (2008)
Eusebius J. Doedel, Bob W. Kooi, G. A. K. van Voorn, Yuri A. Kuznetsov
Continuation of Connecting orbits in 3D-ODES (I): Point-to-Cycle Connections. Int. J. Bifurc. Chaos 18 (7) (2008)
John Guckenheimer, Yuri A. Kuznetsov
Hopf-Hopf bifurcation. Scholarpedia 3 (8) (2008)
John Guckenheimer, Yuri A. Kuznetsov
Bogdanov-Takens bifurcation. Scholarpedia 2 (1) (2007)
Willy Govaerts, R. Khoshsiar Ghaziani, Yuri A. Kuznetsov, Hil G. E. Meijer
Numerical Methods for Two-Parameter Local Bifurcation Analysis of Maps. SIAM J. Sci. Comput. 29 (6) (2007)
John Guckenheimer, Yuri A. Kuznetsov
Bautin bifurcation. Scholarpedia 2 (5) (2007)
John Guckenheimer, Yuri A. Kuznetsov
Cusp bifurcation. Scholarpedia 2 (4) (2007)
John Guckenheimer, Yuri A. Kuznetsov
Fold-Hopf bifurcation. Scholarpedia 2 (10) (2007)
Yuri A. Kuznetsov
Conjugate maps. Scholarpedia 2 (12) (2007)
Yuri A. Kuznetsov
Saddle-node bifurcation. Scholarpedia 1 (10) (2006)
Piotr Kowalczyk, Mario di Bernardo, Alan R. Champneys, Stephen John Hogan, Martin E. Homer, Petri T. Piiroinen, Yuri A. Kuznetsov, Arne B. Nordmark
Two-Parameter Discontinuity-Induced bifurcations of Limit Cycles: Classification and Open Problems. Int. J. Bifurc. Chaos 16 (3) (2006)
Steven M. Baer, Bob W. Kooi, Yuri A. Kuznetsov, Horst R. Thieme
Multiparametric Bifurcation Analysis of a Basic Two-Stage Population Model. SIAM J. Appl. Math. 66 (4) (2006)
Yuri A. Kuznetsov
Mixed finite element method for diffusion equations on polygonal meshes with mixed cells. J. Num. Math. 14 (4) (2006)
Willy Govaerts, Yuri A. Kuznetsov, Bart Sautois
MATCONT. Scholarpedia 1 (9) (2006)
Yuri A. Kuznetsov
Andronov-Hopf bifurcation. Scholarpedia 1 (10) (2006)
Yuri A. Kuznetsov, Hil G. E. Meijer
Numerical Normal Forms for Codim 2 Bifurcations of Fixed Points with at Most Two Critical Eigenvalues. SIAM J. Sci. Comput. 26 (6) (2005)
Willy Govaerts, Yuri A. Kuznetsov, Annick Dhooge
Numerical Continuation of Bifurcations of Limit Cycles in MATLAB. SIAM J. Sci. Comput. 27 (1) (2005)
Mark J. Friedman, Willy Govaerts, Yuri A. Kuznetsov, Bart Sautois
Continuation of Homoclinic Orbits in Matlab. International Conference on Computational Science (1) (2005)
Yuri A. Kuznetsov, Sergey I. Repin
Convergence analysis and error estimates for mixed finite element method on distorted meshes. J. Num. Math. 13 (1) (2005)
V. S. Gonchenko, Yuri A. Kuznetsov, Hil G. E. Meijer
Generalized Hénon Map and Bifurcations of Homoclinic Tangencies. SIAM J. Appl. Dyn. Syst. 4 (2) (2005)
Yuri A. Kuznetsov
Practical Computation of Normal Forms on Center Manifolds at degenerate Bogdanov-takens bifurcations. Int. J. Bifurc. Chaos 15 (11) (2005)
Fabio Dercole, Yuri A. Kuznetsov
SlideCont: An auto97 driver for bifurcation analysis of filippov systems. ACM Trans. Math. Softw. 31 (1) (2005)
David Bindel, James Demmel, Mark J. Friedman, Willy Govaerts, Yuri A. Kuznetsov
Bifurcation Analysis of Large Equilibrium Systems in Matlab. International Conference on Computational Science (1) (2005)
Eusebius J. Doedel, Willy Govaerts, Yuri A. Kuznetsov, Annick Dhooge
Numerical Continuation of Branch Points of Equilibria and Periodic orbits. Int. J. Bifurc. Chaos 15 (3) (2005)
Yuri A. Kuznetsov, Willy Govaerts, Eusebius J. Doedel, Annick Dhooge
Numerical Periodic Normalization for Codim 1 Bifurcations of Limit Cycles. SIAM J. Numer. Anal. 43 (4) (2005)
Annick Dhooge, Willy Govaerts, Yuri A. Kuznetsov
Numerical Continuation of Branch Points of Limit Cycles in MATCONT. International Conference on Computational Science (2004)
Annick Dhooge, Willy Govaerts, Yuri A. Kuznetsov
MATCONT: a Matlab package for numerical bifurcation analysis of ODEs. SIGSAM Bull. 38 (1) (2004)
Yuri A. Kuznetsov, Hil G. E. Meijer, Lennaert van Veen
The fold-flip bifurcation. Int. J. Bifurc. Chaos 14 (7) (2004)
Annick Dhooge, Willy Govaerts, Yuri A. Kuznetsov, W. Mestrom, A. M. Riet
Cl_matcont: A Continuation Toolbox in Matlab. SAC (2003)
Yuri A. Kuznetsov, S. Rinaldi, Alessandra Gragnani
One-Parameter bifurcations in Planar Filippov Systems. Int. J. Bifurc. Chaos 13 (8) (2003)
Yuri A. Kuznetsov
Spectrally equivalent preconditioners for mixed hybrid discretizations of diffusion equations on distorted meshes. J. Num. Math. 11 (1) (2003)
Annick Dhooge, Willy Govaerts, Yuri A. Kuznetsov
Numerical Continuation of Fold Bifurcations of Limit Cycles in MATCONT. International Conference on Computational Science (2003)
Eusebius J. Doedel, Willy Govaerts, Yuri A. Kuznetsov
Computation of Periodic Solution Bifurcations in ODEs Using Bordered Systems. SIAM J. Numer. Anal. 41 (2) (2003)
Annick Dhooge, Willy Govaerts, Yuri A. Kuznetsov
MATCONT: A MATLAB package for numerical bifurcation analysis of ODEs. ACM Trans. Math. Softw. 29 (2) (2003)
Yuri A. Kuznetsov, Konstantin Lipnikov
Fast separable solver for mixed finite element methods and applications. J. Num. Math. 10 (2) (2002)
Ronald H. W. Hoppe, Yuri A. Kuznetsov
Overlapping Domain Decomposition methods with distributed Lagrange multipliers. J. Num. Math. 9 (4) (2001)
Yuri A. Kuznetsov, Oscar De Feo, S. Rinaldi
Belyakov Homoclinic Bifurcations in a Tritrophic Food Chain Model. SIAM J. Appl. Math. 62 (2) (2001)
Marc Garbey, Yuri A. Kuznetsov, Yuri V. Vassilevski
A Parallel Schwarz Method for a Convection-Diffusion Problem. SIAM J. Sci. Comput. 22 (3) (2000)
Willy Govaerts, Yuri A. Kuznetsov, B. Sijnave
Numerical Methods for the Generalized Hopf Bifurcation. SIAM J. Numer. Anal. 38 (1) (2000)
Willy Govaerts, Yuri A. Kuznetsov, B. Sijnave
Bifurcations of Maps in the Software Package CONTENT. CASC (1999)
Willy Govaerts, Yuri A. Kuznetsov, B. Sijnave
Implementation of Hopf and Double-Hopf Continuation Using Bordering Methods. ACM Trans. Math. Softw. 24 (4) (1998)
Zhangxin Chen, Richard E. Ewing, Raytcho D. Lazarov, Serguei Maliassov, Yuri A. Kuznetsov
Multilevel Preconditioners for Mixed Methods for Second Order Elliptic Problems. Numer. Linear Algebra Appl. 3 (5) (1996)
Owe Axelsson, Yuri A. Kuznetsov
Editorial. Numer. Linear Algebra Appl. 2 (5) (1995)
Yuri A. Kuznetsov, Carlo Piccardi
Bifurcations and chaos in a periodically forced prototype adaptive control system. Kybernetika 30 (2) (1994)