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ORCIDYuri A. Kuznetsov
Person information
- affiliation: University of Twente, Department of Applied Mathematics
- affiliation: Utrecht University, Department of Mathematics
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2020 – today
- 2024
[j61]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): 410-439 (2024)- [j60]Maikel M. Bosschaert, Yuri A. Kuznetsov:
Bifurcation Analysis of Bogdanov-Takens Bifurcations in Delay Differential Equations. SIAM J. Appl. Dyn. Syst. 23(1): 553-591 (2024) - [j59]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): 1909-1945 (2024) - 2023
- [j58]Bram Lentjes, Mattias Windmolders, Yuri A. Kuznetsov:
Periodic Center Manifolds for Nonhyperbolic Limit Cycles in ODEs. Int. J. Bifurc. Chaos 33(15): 2350184:1-2350184:29 (2023) - 2022
- [i2]Maikel M. Bosschaert, Yuri A. Kuznetsov:
Bifurcation analysis of Bogdanov-Takens bifurcations in delay differential equations. CoRR abs/2210.02560 (2022) - 2021
- [j57]Yuri A. Kuznetsov, Joost Hooyman:
Bifurcations of Heteroclinic Contours in Two-Parameter Planar Systems: Overview and Explicit Examples. Int. J. Bifurc. Chaos 31(12): 2130036:1-2130036:19 (2021) - [i1]Maikel M. Bosschaert, Yuri A. Kuznetsov:
Interplay between normal forms and center manifold reduction for homoclinic predictors near Bogdanov-Takens bifurcation. CoRR abs/2109.12570 (2021) - 2020
- [j56]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): 252-303 (2020)
2010 – 2019
- 2018
- [j55]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): 25:1-25:19 (2018) - 2017
- [j54]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: 416-436 (2017) - 2016
- [j53]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): 952-980 (2016) - 2015
- [j52]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): 1550125:1-1550125:10 (2015) - 2014
- [j51]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) - [j50]David Bindel, Mark J. Friedman, Willy Govaerts, Jeremy Hughes, Yuri A. Kuznetsov:
Numerical computation of bifurcations in large equilibrium systems in matlab. J. Comput. Appl. Math. 261: 232-248 (2014) - [e1]William Fitzgibbon, Yuri A. Kuznetsov, Pekka Neittaanmäki, Olivier Pironneau:
Modeling, Simulation and Optimization for Science and Technology. Computational Methods in Applied Sciences 34, Springer 2014, ISBN 978-94-017-9053-6 [contents] - 2013
- [j49]Yuri A. Kuznetsov, Sergey I. Repin:
Guaranteed lower bounds of the smallest eigenvalues of elliptic differential operators. J. Num. Math. 21(2): 135-156 (2013) - [j48]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): 722-788 (2013) - 2012
- [j47]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) - [j46]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): 18:1-18:34 (2012) - 2011
- [j45]Yuri A. Kuznetsov:
Approximations with piece-wise constant fluxes for diffusion equations. J. Num. Math. 19(4): 309-328 (2011) - [j44]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): 1525-1553 (2011)
2000 – 2009
- 2009
- [j43]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): 159-169 (2009) - [j42]Ronald H. W. Hoppe, Yuri A. Kuznetsov:
Preface. J. Num. Math. 17(1): 1-2 (2009) - [j41]Yuri A. Kuznetsov:
Preconditioned iterative methods for algebraic saddle-point problems. J. Num. Math. 17(1): 67-75 (2009) - 2008
- [j40]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): 1889-1903 (2008) - [j39]Yuri A. Kuznetsov:
Saddle-node bifurcation for maps. Scholarpedia 3(4): 4399 (2008) - [j38]Yuri A. Kuznetsov, Robert Sacker:
Neimark-Sacker bifurcation. Scholarpedia 3(5): 1845 (2008) - [j37]John Guckenheimer, Yuri A. Kuznetsov:
Hopf-Hopf bifurcation. Scholarpedia 3(8): 1856 (2008) - [j36]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): 13:1-13:24 (2008) - 2007
- [j35]John Guckenheimer, Yuri A. Kuznetsov:
Bogdanov-Takens bifurcation. Scholarpedia 2(1): 1854 (2007) - [j34]John Guckenheimer, Yuri A. Kuznetsov:
Cusp bifurcation. Scholarpedia 2(4): 1852 (2007) - [j33]John Guckenheimer, Yuri A. Kuznetsov:
Bautin bifurcation. Scholarpedia 2(5): 1853 (2007) - [j32]John Guckenheimer, Yuri A. Kuznetsov:
Fold-Hopf bifurcation. Scholarpedia 2(10): 1855 (2007) - [j31]Yuri A. Kuznetsov:
Conjugate maps. Scholarpedia 2(12): 5420 (2007) - [j30]Willy Govaerts, Reza 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): 2644-2667 (2007) - 2006
- [j29]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): 601-629 (2006) - [j28]Yuri A. Kuznetsov:
Mixed finite element method for diffusion equations on polygonal meshes with mixed cells. J. Num. Math. 14(4): 305-315 (2006) - [j27]Willy Govaerts, Yuri A. Kuznetsov, Bart Sautois:
MATCONT. Scholarpedia 1(9): 1375 (2006) - [j26]Yuri A. Kuznetsov:
Andronov-Hopf bifurcation. Scholarpedia 1(10): 1858 (2006) - [j25]Yuri A. Kuznetsov:
Saddle-node bifurcation. Scholarpedia 1(10): 1859 (2006) - [j24]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): 1339-1365 (2006) - 2005
- [j23]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): 841-860 (2005) - [j22]Yuri A. Kuznetsov:
Practical Computation of Normal Forms on Center Manifolds at degenerate Bogdanov-takens bifurcations. Int. J. Bifurc. Chaos 15(11): 3535-3546 (2005) - [j21]Yuri A. Kuznetsov, Sergey I. Repin:
Convergence analysis and error estimates for mixed finite element method on distorted meshes. J. Num. Math. 13(1): 33-51 (2005) - [j20]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): 407-436 (2005) - [j19]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): 1407-1435 (2005) - [j18]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): 1932-1954 (2005) - [j17]Willy Govaerts, Yuri A. Kuznetsov, Annick Dhooge:
Numerical Continuation of Bifurcations of Limit Cycles in MATLAB. SIAM J. Sci. Comput. 27(1): 231-252 (2005) - [j16]Fabio Dercole, Yuri A. Kuznetsov:
SlideCont: An auto97 driver for bifurcation analysis of filippov systems. ACM Trans. Math. Softw. 31(1): 95-119 (2005) - [c6]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: 50-57 - [c5]Mark J. Friedman, Willy Govaerts, Yuri A. Kuznetsov, Bart Sautois:
Continuation of Homoclinic Orbits in Matlab. International Conference on Computational Science (1) 2005: 263-270 - 2004
- [j15]Annick Dhooge, Willy Govaerts, Yuri A. Kuznetsov:
MATCONT: a Matlab package for numerical bifurcation analysis of ODEs. SIGSAM Bull. 38(1): 21-22 (2004) - [j14]Yuri A. Kuznetsov, Hil G. E. Meijer, Lennaert van Veen:
The fold-flip bifurcation. Int. J. Bifurc. Chaos 14(7): 2253-2282 (2004) - [c4]Annick Dhooge, Willy Govaerts, Yuri A. Kuznetsov:
Numerical Continuation of Branch Points of Limit Cycles in MATCONT. International Conference on Computational Science 2004: 42-49 - 2003
- [j13]Yuri A. Kuznetsov, Sergio Rinaldi, Alessandra Gragnani:
One-Parameter bifurcations in Planar Filippov Systems. Int. J. Bifurc. Chaos 13(8): 2157-2188 (2003) - [j12]Yuri A. Kuznetsov:
Spectrally equivalent preconditioners for mixed hybrid discretizations of diffusion equations on distorted meshes. J. Num. Math. 11(1): 61-74 (2003) - [j11]Eusebius J. Doedel, Willy Govaerts, Yuri A. Kuznetsov:
Computation of Periodic Solution Bifurcations in ODEs Using Bordered Systems. SIAM J. Numer. Anal. 41(2): 401-435 (2003) - [j10]Annick Dhooge, Willy Govaerts, Yuri A. Kuznetsov:
MATCONT: A MATLAB package for numerical bifurcation analysis of ODEs. ACM Trans. Math. Softw. 29(2): 141-164 (2003) - [c3]Annick Dhooge, Willy Govaerts, Yuri A. Kuznetsov:
Numerical Continuation of Fold Bifurcations of Limit Cycles in MATCONT. International Conference on Computational Science 2003: 701-710 - [c2]Annick Dhooge, Willy Govaerts, Yuri A. Kuznetsov, W. Mestrom, A. M. Riet:
Cl_matcont: A Continuation Toolbox in Matlab. SAC 2003: 161-166 - 2002
- [j9]Yuri A. Kuznetsov, Konstantin Lipnikov:
Fast separable solver for mixed finite element methods and applications. J. Num. Math. 10(2): 137-155 (2002) - 2001
- [j8]Ronald H. W. Hoppe, Yuri A. Kuznetsov:
Overlapping Domain Decomposition methods with distributed Lagrange multipliers. J. Num. Math. 9(4): 285-293 (2001) - [j7]Yuri A. Kuznetsov, Oscar De Feo, Sergio Rinaldi:
Belyakov Homoclinic Bifurcations in a Tritrophic Food Chain Model. SIAM J. Appl. Math. 62(2): 462-487 (2001) - 2000
- [j6]Willy Govaerts, Yuri A. Kuznetsov, B. Sijnave:
Numerical Methods for the Generalized Hopf Bifurcation. SIAM J. Numer. Anal. 38(1): 329-346 (2000) - [j5]Marc Garbey, Yuri A. Kuznetsov, Yuri V. Vassilevski:
A Parallel Schwarz Method for a Convection-Diffusion Problem. SIAM J. Sci. Comput. 22(3): 891-916 (2000)
1990 – 1999
- 1999
- [c1]Willy Govaerts, Yuri A. Kuznetsov, B. Sijnave:
Bifurcations of Maps in the Software Package CONTENT. CASC 1999: 191-206 - 1998
- [j4]Willy Govaerts, Yuri A. Kuznetsov, B. Sijnave:
Implementation of Hopf and Double-Hopf Continuation Using Bordering Methods. ACM Trans. Math. Softw. 24(4): 418-436 (1998) - 1996
- [j3]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): 427-453 (1996) - 1995
- [j2]Owe Axelsson, Yuri A. Kuznetsov:
Editorial. Numer. Linear Algebra Appl. 2(5): 399 (1995) - 1994
- [j1]Yuri A. Kuznetsov, Carlo Piccardi:
Bifurcations and chaos in a periodically forced prototype adaptive control system. Kybernetika 30(2): 121-128 (1994)
Coauthor Index
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