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Kuznetsov, Yuri Alexandrovich

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Author ID: kuznetsov.yuri-a Recent zbMATH articles by "Kuznetsov, Yuri Alexandrovich"
Published as: Kuznetsov, Y. A.; Kuznetsov, Yu. A.; Kuznetsov, Yu.a.; Kuznetsov, Yuri; Kuznetsov, Yuri A.
Homepage: https://www.staff.science.uu.nl/~kouzn101
External Links: MGP · ORCID · dblp
Documents Indexed: 77 Publications since 1989, including 5 Books

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Citations contained in zbMATH Open

70 Publications have been cited 3,097 times in 2,376 Documents Cited by Year
Elements of applied bifurcation theory. 2nd updated ed. Zbl 0914.58025
Kuznetsov, Yuri A.
562
1998
Elements of applied bifurcation theory. 3rd ed. Zbl 1082.37002
Kuznetsov, Yuri A.
547
2004
Elements of applied bifurcation theory. Zbl 0829.58029
Kuznetsov, Yuri A.
369
1995
MATCONT: A MATLAB package for numerical bifurcation analysis of ODEs. Zbl 1070.65574
Dhooge, A.; Govaerts, W.; Kuznetsov, Yu. A.
247
2003
One-parameter bifurcations in planar Filippov systems. Zbl 1079.34029
Kuznetsov, Yu. A.; Rinaldi, S.; Gragnani, A.
196
2003
Multiple attractors, catastrophes and chaos in seasonally perturbed predator-prey communities. Zbl 0756.92026
Rinaldi, Sergio; Muratori, Simona; Kuznetsov, Yuri
90
1993
New features of the software MatCont for bifurcation analysis of dynamical systems. Zbl 1158.34302
Dhooge, A.; Govaerts, W.; Kuznetsov, Yu. A.; Meijer, H. G. E.; Sautois, B.
79
2008
Remarks on food chain dynamics. Zbl 0844.92025
Kuznetsov, Yu. A.; Rinaldi, S.
78
1996
A numerical toolbox for homoclinic bifurcation analysis. Zbl 0877.65058
Champneys, A. R.; Kuznetsov, Yu. A.; Sandstede, B.
67
1996
Numerical detection and continuation of codimension-two homoclinic bifurcations. Zbl 0873.34030
Champneys, A. R.; Kuznetsov, Yu. A.
62
1994
Belyakov homoclinic bifurcations in a tritrophic food chain model. Zbl 1015.34031
Kuznetsov, Yu. A.; De Feo, O.; Rinaldi, S.
58
2001
Continuation techniques and interactive software for bifurcation analysis of ODEs and iterated maps. Zbl 0784.34030
Khibnik, Alexander I.; Kuznetsov, Yuri A.; Levitin, Victor V.; Nikolaev, Eugene V.
53
1993
Bifurcation analysis of periodic SEIR and SIR epidemic models. Zbl 0786.92022
Kuznetsov, Yu. A.; Piccardi, C.
51
1994
Numerical continuation, and computation of normal forms. Zbl 1034.37048
Beyn, Wolf-Jürgen; Champneys, Alan; Doedel, Eusebius; Govaerts, Willy; Kuznetsov, Yuri A.; Sandstede, Björn
35
2002
Bifurcations and chaos in a periodic predator-prey model. Zbl 1126.92316
Kuznetsov, Yu. A.; Muratori, S.; Rinaldi, S.
35
1992
An event-driven method to simulate Filippov systems with accurate computing of sliding motions. Zbl 1190.65109
Piiroinen, Petri T.; Kuznetsov, Yuri A.
29
2008
Multiparametric bifurcation analysis of a basic two-stage population model. Zbl 1106.34030
Baer, S. M.; Kooi, B. W.; Kuznetsov, Yu. A.; Thieme, H. R.
28
2006
Two-parameter discontinuity-induced bifurcations of limit cycles: classification and open problems. Zbl 1141.37341
Kowalczyk, P.; Di Bernardo, M.; Champneys, A. R.; Hogan, S. J.; Homer, M.; Piiroinen, P. T.; Kuznetsov, Yu. A.; Nordmark, A.
27
2006
SlideCont: An AUTO97 driver for bifurcation analysis of Filippov systems. Zbl 1073.65070
Dercole, Fabio; Kuznetsov, Yuri A.
27
2005
Practical computation of normal forms on center manifolds at degenerate Bogdanov-Takens bifurcations. Zbl 1096.37026
Kuznetsov, Yu. A.
25
2005
Numerical normalization techniques for all codim 2 bifurcations of equilibria in ODE’s. Zbl 0931.34024
Kuznetsov, Yu. A.
24
1999
Seasonality and chaos in a plankton-fish model. Zbl 0825.92135
Doveri, Francesco; Scheffer, Marten; Rinaldi, Sergio; Muratori, Simona; Kuznetsov, Yuri
24
1993
Numerical methods for two-parameter local bifurcation analysis of maps. Zbl 1155.65397
Govaerts, W.; Ghaziani, R. Khoshsiar; Kuznetsov, Yu. A.; Meijer, H. G. E.
23
2007
The fold-flip bifurcation. Zbl 1077.37515
Kuznetsov, Yu. A.; Meijer, H. G. E.; van Veen, L.
23
2004
Numerical normal forms for codim 2 bifurcations of fixed points with at most two critical eigenvalues. Zbl 1080.37056
Kuznetsov, Yu. A.; Meijer, H. G. E.
18
2005
Numerical continuation of bifurcations of limit cycles in MATLAB. Zbl 1087.65118
Govaerts, Willy; Kuznetsov, Yuri A.; Dhooge, Annick
17
2005
Numerical sliding bifurcation analysis: an application to a relay control system. Zbl 1368.93450
Dercole, F.; Gragnani, A.; Kuznetsov, Yu. A.; Rinaldi, S.
17
2003
A cross-diffusion model of forest boundary dynamics. Zbl 0790.92028
Kuznetsov, Yu. A.; Antonovsky, M. Ya.; Biktashev, V. N.; Aponina, E.
17
1994
Forest-pest interaction dynamics: The simplest mathematical models. Zbl 0699.92023
Antonovsky, M. Ya.; Fleming, R. A.; Kuznetsov, Yu. A.; Clark, W. C.
16
1990
Two degenerate boundary equilibrium bifurcations in planar Filippov systems. Zbl 1266.34067
Dercole, Fabio; Della Rossa, Fabio; Colombo, Alessandro; Kuznetsov, Yuri A.
15
2011
Remarks on interacting Neimark–Sacker bifurcations. Zbl 1108.37038
Kuznetsov, Yu. A.; Meijer, H. G. E.
15
2006
Generalized Hénon map and bifurcations of homoclinic tangencies. Zbl 1090.37036
Gonchenko, V. S.; Kuznetsov, Yu. A.; Meijer, H. G. E.
15
2005
On local bifurcations in neural field models with transmission delays. Zbl 1266.37040
van Gils, S. A.; Janssens, S. G.; Kuznetsov, Yu. A.; Visser, S.
12
2013
Continuation of connecting orbits in 3D-ODEs. II: Cycle-to cycle connections. Zbl 1170.37339
Doedel, E. J.; Kooi, B. W.; Van Voorn, G. A. K.; Kuznetsov, Yu. A.
11
2009
Continuation of connecting orbits in 3-D-ODEs. I. Point-to-cycle connections. Zbl 1149.34328
Doedel, E. J.; Kooi, B. W.; van Voorn, G. A. K.; Kuznetsov, Yu. A.
11
2008
Computation of periodic solution bifurcations in ODEs using bordered systems. Zbl 1066.65154
Doedel, E. J.; Govaerts, W.; Kuznetsov, Yu. A.
11
2003
Homoclinic bifurcations in slow-fast second-order systems. Zbl 0840.34065
Kuznetsov, Yuri A.; Muratori, Simona; Rinaldi, Sergio
11
1995
Improved homoclinic predictor for Bogdanov-Takens bifurcation. Zbl 1296.34098
Kuznetsov, Yu. A.; Meijer, H. G. E.; Al Hdaibat, B.; Govaerts, W.
10
2014
Is more memory in evolutionary selection (de)stabilizing? Zbl 1270.91024
Hommes, Cars; Kiseleva, Tatiana; Kuznetsov, Yuri; Verbic, Miroslav
10
2012
Bifurcation portraits. (Bifurcation diagrams of dynamical systems on the plane). Zbl 0714.58038
Bazykin, A. D.; Kuznetsov, Yu. A.; Khibnik, A. I.
10
1989
Interactive initialization and continuation of homoclinic and heteroclinic orbits in MATLAB. Zbl 1365.65274
De Witte, Virginie; Govaerts, Willy; Kuznetsov, Yuri A.; Friedman, Mark
9
2012
Numerical continuation of connecting orbits of maps in MATLAB. Zbl 1171.65093
Ghaziani, R. Khoshsiar; Govaerts, W.; Kuznetsov, Yu. A.; Meijer, H. G. E.
9
2009
Initialization of homoclinic solutions near Bogdanov-Takens points: Lindstedt-Poincaré compared with regular perturbation method. Zbl 1343.34104
Al-Hdaibat, B.; Govaerts, W.; Kuznetsov, Yu. A.; Meijer, H. G. E.
8
2016
Numerical computation of bifurcations in large equilibrium systems in Matlab. Zbl 1278.65003
Bindel, D.; Friedman, M.; Govaerts, W.; Hughes, J.; Kuznetsov, Yu. A.
8
2014
Numerical periodic normalization for codim 1 bifurcations of limit cycles. Zbl 1103.34025
Kuznetsov, Yu. A.; Govaerts, W.; Doedel, E. J.; Dhooge, A.
8
2005
Numerical continuation of branch points of limit cycles in MATCONT. Zbl 1086.65538
Dhooge, A.; Govaerts, W.; Kuznetsov, Y. A.
8
2004
Accurate approximation of homoclinic solutions in Gray-Scott kinetic model. Zbl 1325.34063
Kuznetsov, Yu. A.; Meijer, H. G. E.; Al-Hdaibat, B.; Govaerts, W.
7
2015
Numerical methods for the generalized Hopf bifurcation. Zbl 0968.65109
Govaerts, W.; Kuznetsov, Yu. A.; Sijnave, B.
7
2000
Numerical periodic normalization for codim 2 bifurcations of limit cycles: computational formulas, numerical implementation, and examples. Zbl 1284.34049
De Witte, V.; Della Rossa, F.; Govaerts, W.; Kuznetsov, Yu. A.
6
2013
Switching to nonhyperbolic cycles from codim 2 bifurcations of equilibria in ODEs. Zbl 1164.37015
Kuznetsov, Yu. A.; Meijer, H. G. E.; Govaerts, W.; Sautois, B.
6
2008
MATCONT: Matlab software for bifurcation study of dynamical systems. Zbl 1088.65591
Dhooge, A.; Sautois, B.; Govaerts, W.; Kuznetsov, Yu. A.
5
2005
Numerical analysis of the flip bifurcation of maps. Zbl 0729.65050
Kuznetsov, Yu. A.; Rinaldi, S.
5
1991
Pitchfork-Hopf bifurcations in 1D neural field models with transmission delays. Zbl 1392.37041
Dijkstra, K.; van Gils, S. A.; Janssens, S. G.; Kuznetsov, Yu. A.; Visser, S.
4
2015
Continuation of homoclinic orbits in MATLAB. Zbl 1129.65324
Friedman, M.; Govaerts, W.; Kuznetsov, Yu. A.; Sautois, B.
4
2005
Numerical bifurcation analysis of maps. From theory to software. Zbl 1425.37002
Kuznetsov, Yuri A.; Meijer, Hil G. E.
3
2019
Multiple solutions of a generalized singular perturbed Bratu problem. Zbl 1258.34043
Bakri, Taoufik; Kuznetsov, Yuri A.; Verhulst, Ferdinand; Doedel, Eusebius
3
2012
Bifurcation analysis of large equilibrium systems in MATLAB. Zbl 1129.65323
Bindel, David S.; Demmel, James W.; Friedman, Mark J.; Govaerts, Willy J. F.; Kuznetsov, Yuri A.
3
2005
Computation of invariant manifold bifurcations. Zbl 0705.34013
Kuznetsov, Yu. A.
3
1990
Switching to nonhyperbolic cycles from codimension two bifurcations of equilibria of delay differential equations. Zbl 07175469
Bosschaert, Maikel M.; Janssens, Sebastiaan G.; Kuznetsov, Yu. A.
2
2020
Degenerate Bogdanov-Takens bifurcations in a one-dimensional transport model of a fusion plasma. Zbl 1364.37168
de Blank, H. J.; Kuznetsov, Yu. A.; Pekkér, M. J.; Veldman, D. W. M.
2
2016
Torus bifurcations in a mechanical system. Zbl 1382.70023
Bakri, Taoufik; Kuznetsov, Yuri A.; Verhulst, Ferdinand
2
2015
Interactive continuation tools. Zbl 1126.65108
Govaerts, Willy; Kuznetsov, Yuri A.
2
2007
Numerical bifurcation analysis of homoclinic orbits embedded in one-dimensional manifolds of maps. Zbl 06920088
Neirynck, Niels; Govaerts, Willy; Kuznetsov, Yuri A.; Meijer, Hil G. E.
1
2018
Bifurcations of periodic solutions of ODEs using bordered systems. Zbl 1060.65677
Dhooge, A.; Govaerts, W.; Kuznetsov, Yu.a.
1
2004
Numerical continuation of fold bifurcations of limit cycles in MATCONT. Zbl 1039.65057
Dhooge, Annick; Govaerts, Willy; Kuznetsov, Yuri A.
1
2003
Continuation of codimension-2 equilibrium bifurcations in CONTENT. Zbl 0958.65140
Govaerts, W.; Kuznetsov, Yu. A.; Sijnave, B.
1
2000
Bifurcations of maps in the software package CONTENT. Zbl 1072.37515
Govaerts, W.; Kuznetsov, Yu. A.; Sijnave, B.
1
1999
Impulses of a complicated form in models of nerve conduction. Zbl 0851.35062
Kuznetsov, Yu. A.
1
1994
Strong resonance and chaos in a stock market model. Zbl 0825.93300
Ghezzi, L. L.; Kuznetsov, Y. A.
1
1994
Bifurcation portraits. Bifurcation diagrams of dynamical systems on the plane. Zbl 1081.37522
Bazykin, A. D.; Kuznetsov, Yu. A.; Khibnik, A. I.
1
1989
Switching to nonhyperbolic cycles from codimension two bifurcations of equilibria of delay differential equations. Zbl 07175469
Bosschaert, Maikel M.; Janssens, Sebastiaan G.; Kuznetsov, Yu. A.
2
2020
Numerical bifurcation analysis of maps. From theory to software. Zbl 1425.37002
Kuznetsov, Yuri A.; Meijer, Hil G. E.
3
2019
Numerical bifurcation analysis of homoclinic orbits embedded in one-dimensional manifolds of maps. Zbl 06920088
Neirynck, Niels; Govaerts, Willy; Kuznetsov, Yuri A.; Meijer, Hil G. E.
1
2018
Initialization of homoclinic solutions near Bogdanov-Takens points: Lindstedt-Poincaré compared with regular perturbation method. Zbl 1343.34104
Al-Hdaibat, B.; Govaerts, W.; Kuznetsov, Yu. A.; Meijer, H. G. E.
8
2016
Degenerate Bogdanov-Takens bifurcations in a one-dimensional transport model of a fusion plasma. Zbl 1364.37168
de Blank, H. J.; Kuznetsov, Yu. A.; Pekkér, M. J.; Veldman, D. W. M.
2
2016
Accurate approximation of homoclinic solutions in Gray-Scott kinetic model. Zbl 1325.34063
Kuznetsov, Yu. A.; Meijer, H. G. E.; Al-Hdaibat, B.; Govaerts, W.
7
2015
Pitchfork-Hopf bifurcations in 1D neural field models with transmission delays. Zbl 1392.37041
Dijkstra, K.; van Gils, S. A.; Janssens, S. G.; Kuznetsov, Yu. A.; Visser, S.
4
2015
Torus bifurcations in a mechanical system. Zbl 1382.70023
Bakri, Taoufik; Kuznetsov, Yuri A.; Verhulst, Ferdinand
2
2015
Improved homoclinic predictor for Bogdanov-Takens bifurcation. Zbl 1296.34098
Kuznetsov, Yu. A.; Meijer, H. G. E.; Al Hdaibat, B.; Govaerts, W.
10
2014
Numerical computation of bifurcations in large equilibrium systems in Matlab. Zbl 1278.65003
Bindel, D.; Friedman, M.; Govaerts, W.; Hughes, J.; Kuznetsov, Yu. A.
8
2014
On local bifurcations in neural field models with transmission delays. Zbl 1266.37040
van Gils, S. A.; Janssens, S. G.; Kuznetsov, Yu. A.; Visser, S.
12
2013
Numerical periodic normalization for codim 2 bifurcations of limit cycles: computational formulas, numerical implementation, and examples. Zbl 1284.34049
De Witte, V.; Della Rossa, F.; Govaerts, W.; Kuznetsov, Yu. A.
6
2013
Is more memory in evolutionary selection (de)stabilizing? Zbl 1270.91024
Hommes, Cars; Kiseleva, Tatiana; Kuznetsov, Yuri; Verbic, Miroslav
10
2012
Interactive initialization and continuation of homoclinic and heteroclinic orbits in MATLAB. Zbl 1365.65274
De Witte, Virginie; Govaerts, Willy; Kuznetsov, Yuri A.; Friedman, Mark
9
2012
Multiple solutions of a generalized singular perturbed Bratu problem. Zbl 1258.34043
Bakri, Taoufik; Kuznetsov, Yuri A.; Verhulst, Ferdinand; Doedel, Eusebius
3
2012
Two degenerate boundary equilibrium bifurcations in planar Filippov systems. Zbl 1266.34067
Dercole, Fabio; Della Rossa, Fabio; Colombo, Alessandro; Kuznetsov, Yuri A.
15
2011
Continuation of connecting orbits in 3D-ODEs. II: Cycle-to cycle connections. Zbl 1170.37339
Doedel, E. J.; Kooi, B. W.; Van Voorn, G. A. K.; Kuznetsov, Yu. A.
11
2009
Numerical continuation of connecting orbits of maps in MATLAB. Zbl 1171.65093
Ghaziani, R. Khoshsiar; Govaerts, W.; Kuznetsov, Yu. A.; Meijer, H. G. E.
9
2009
New features of the software MatCont for bifurcation analysis of dynamical systems. Zbl 1158.34302
Dhooge, A.; Govaerts, W.; Kuznetsov, Yu. A.; Meijer, H. G. E.; Sautois, B.
79
2008
An event-driven method to simulate Filippov systems with accurate computing of sliding motions. Zbl 1190.65109
Piiroinen, Petri T.; Kuznetsov, Yuri A.
29
2008
Continuation of connecting orbits in 3-D-ODEs. I. Point-to-cycle connections. Zbl 1149.34328
Doedel, E. J.; Kooi, B. W.; van Voorn, G. A. K.; Kuznetsov, Yu. A.
11
2008
Switching to nonhyperbolic cycles from codim 2 bifurcations of equilibria in ODEs. Zbl 1164.37015
Kuznetsov, Yu. A.; Meijer, H. G. E.; Govaerts, W.; Sautois, B.
6
2008
Numerical methods for two-parameter local bifurcation analysis of maps. Zbl 1155.65397
Govaerts, W.; Ghaziani, R. Khoshsiar; Kuznetsov, Yu. A.; Meijer, H. G. E.
23
2007
Interactive continuation tools. Zbl 1126.65108
Govaerts, Willy; Kuznetsov, Yuri A.
2
2007
Multiparametric bifurcation analysis of a basic two-stage population model. Zbl 1106.34030
Baer, S. M.; Kooi, B. W.; Kuznetsov, Yu. A.; Thieme, H. R.
28
2006
Two-parameter discontinuity-induced bifurcations of limit cycles: classification and open problems. Zbl 1141.37341
Kowalczyk, P.; Di Bernardo, M.; Champneys, A. R.; Hogan, S. J.; Homer, M.; Piiroinen, P. T.; Kuznetsov, Yu. A.; Nordmark, A.
27
2006
Remarks on interacting Neimark–Sacker bifurcations. Zbl 1108.37038
Kuznetsov, Yu. A.; Meijer, H. G. E.
15
2006
SlideCont: An AUTO97 driver for bifurcation analysis of Filippov systems. Zbl 1073.65070
Dercole, Fabio; Kuznetsov, Yuri A.
27
2005
Practical computation of normal forms on center manifolds at degenerate Bogdanov-Takens bifurcations. Zbl 1096.37026
Kuznetsov, Yu. A.
25
2005
Numerical normal forms for codim 2 bifurcations of fixed points with at most two critical eigenvalues. Zbl 1080.37056
Kuznetsov, Yu. A.; Meijer, H. G. E.
18
2005
Numerical continuation of bifurcations of limit cycles in MATLAB. Zbl 1087.65118
Govaerts, Willy; Kuznetsov, Yuri A.; Dhooge, Annick
17
2005
Generalized Hénon map and bifurcations of homoclinic tangencies. Zbl 1090.37036
Gonchenko, V. S.; Kuznetsov, Yu. A.; Meijer, H. G. E.
15
2005
Numerical periodic normalization for codim 1 bifurcations of limit cycles. Zbl 1103.34025
Kuznetsov, Yu. A.; Govaerts, W.; Doedel, E. J.; Dhooge, A.
8
2005
MATCONT: Matlab software for bifurcation study of dynamical systems. Zbl 1088.65591
Dhooge, A.; Sautois, B.; Govaerts, W.; Kuznetsov, Yu. A.
5
2005
Continuation of homoclinic orbits in MATLAB. Zbl 1129.65324
Friedman, M.; Govaerts, W.; Kuznetsov, Yu. A.; Sautois, B.
4
2005
Bifurcation analysis of large equilibrium systems in MATLAB. Zbl 1129.65323
Bindel, David S.; Demmel, James W.; Friedman, Mark J.; Govaerts, Willy J. F.; Kuznetsov, Yuri A.
3
2005
Elements of applied bifurcation theory. 3rd ed. Zbl 1082.37002
Kuznetsov, Yuri A.
547
2004
The fold-flip bifurcation. Zbl 1077.37515
Kuznetsov, Yu. A.; Meijer, H. G. E.; van Veen, L.
23
2004
Numerical continuation of branch points of limit cycles in MATCONT. Zbl 1086.65538
Dhooge, A.; Govaerts, W.; Kuznetsov, Y. A.
8
2004
Bifurcations of periodic solutions of ODEs using bordered systems. Zbl 1060.65677
Dhooge, A.; Govaerts, W.; Kuznetsov, Yu.a.
1
2004
MATCONT: A MATLAB package for numerical bifurcation analysis of ODEs. Zbl 1070.65574
Dhooge, A.; Govaerts, W.; Kuznetsov, Yu. A.
247
2003
One-parameter bifurcations in planar Filippov systems. Zbl 1079.34029
Kuznetsov, Yu. A.; Rinaldi, S.; Gragnani, A.
196
2003
Numerical sliding bifurcation analysis: an application to a relay control system. Zbl 1368.93450
Dercole, F.; Gragnani, A.; Kuznetsov, Yu. A.; Rinaldi, S.
17
2003
Computation of periodic solution bifurcations in ODEs using bordered systems. Zbl 1066.65154
Doedel, E. J.; Govaerts, W.; Kuznetsov, Yu. A.
11
2003
Numerical continuation of fold bifurcations of limit cycles in MATCONT. Zbl 1039.65057
Dhooge, Annick; Govaerts, Willy; Kuznetsov, Yuri A.
1
2003
Numerical continuation, and computation of normal forms. Zbl 1034.37048
Beyn, Wolf-Jürgen; Champneys, Alan; Doedel, Eusebius; Govaerts, Willy; Kuznetsov, Yuri A.; Sandstede, Björn
35
2002
Belyakov homoclinic bifurcations in a tritrophic food chain model. Zbl 1015.34031
Kuznetsov, Yu. A.; De Feo, O.; Rinaldi, S.
58
2001
Numerical methods for the generalized Hopf bifurcation. Zbl 0968.65109
Govaerts, W.; Kuznetsov, Yu. A.; Sijnave, B.
7
2000
Continuation of codimension-2 equilibrium bifurcations in CONTENT. Zbl 0958.65140
Govaerts, W.; Kuznetsov, Yu. A.; Sijnave, B.
1
2000
Numerical normalization techniques for all codim 2 bifurcations of equilibria in ODE’s. Zbl 0931.34024
Kuznetsov, Yu. A.
24
1999
Bifurcations of maps in the software package CONTENT. Zbl 1072.37515
Govaerts, W.; Kuznetsov, Yu. A.; Sijnave, B.
1
1999
Elements of applied bifurcation theory. 2nd updated ed. Zbl 0914.58025
Kuznetsov, Yuri A.
562
1998
Remarks on food chain dynamics. Zbl 0844.92025
Kuznetsov, Yu. A.; Rinaldi, S.
78
1996
A numerical toolbox for homoclinic bifurcation analysis. Zbl 0877.65058
Champneys, A. R.; Kuznetsov, Yu. A.; Sandstede, B.
67
1996
Elements of applied bifurcation theory. Zbl 0829.58029
Kuznetsov, Yuri A.
369
1995
Homoclinic bifurcations in slow-fast second-order systems. Zbl 0840.34065
Kuznetsov, Yuri A.; Muratori, Simona; Rinaldi, Sergio
11
1995
Numerical detection and continuation of codimension-two homoclinic bifurcations. Zbl 0873.34030
Champneys, A. R.; Kuznetsov, Yu. A.
62
1994
Bifurcation analysis of periodic SEIR and SIR epidemic models. Zbl 0786.92022
Kuznetsov, Yu. A.; Piccardi, C.
51
1994
A cross-diffusion model of forest boundary dynamics. Zbl 0790.92028
Kuznetsov, Yu. A.; Antonovsky, M. Ya.; Biktashev, V. N.; Aponina, E.
17
1994
Impulses of a complicated form in models of nerve conduction. Zbl 0851.35062
Kuznetsov, Yu. A.
1
1994
Strong resonance and chaos in a stock market model. Zbl 0825.93300
Ghezzi, L. L.; Kuznetsov, Y. A.
1
1994
Multiple attractors, catastrophes and chaos in seasonally perturbed predator-prey communities. Zbl 0756.92026
Rinaldi, Sergio; Muratori, Simona; Kuznetsov, Yuri
90
1993
Continuation techniques and interactive software for bifurcation analysis of ODEs and iterated maps. Zbl 0784.34030
Khibnik, Alexander I.; Kuznetsov, Yuri A.; Levitin, Victor V.; Nikolaev, Eugene V.
53
1993
Seasonality and chaos in a plankton-fish model. Zbl 0825.92135
Doveri, Francesco; Scheffer, Marten; Rinaldi, Sergio; Muratori, Simona; Kuznetsov, Yuri
24
1993
Bifurcations and chaos in a periodic predator-prey model. Zbl 1126.92316
Kuznetsov, Yu. A.; Muratori, S.; Rinaldi, S.
35
1992
Numerical analysis of the flip bifurcation of maps. Zbl 0729.65050
Kuznetsov, Yu. A.; Rinaldi, S.
5
1991
Forest-pest interaction dynamics: The simplest mathematical models. Zbl 0699.92023
Antonovsky, M. Ya.; Fleming, R. A.; Kuznetsov, Yu. A.; Clark, W. C.
16
1990
Computation of invariant manifold bifurcations. Zbl 0705.34013
Kuznetsov, Yu. A.
3
1990
Bifurcation portraits. (Bifurcation diagrams of dynamical systems on the plane). Zbl 0714.58038
Bazykin, A. D.; Kuznetsov, Yu. A.; Khibnik, A. I.
10
1989
Bifurcation portraits. Bifurcation diagrams of dynamical systems on the plane. Zbl 1081.37522
Bazykin, A. D.; Kuznetsov, Yu. A.; Khibnik, A. I.
1
1989
all top 5

Cited by 3,443 Authors

29 Krauskopf, Bernd
27 Kuznetsov, Yuri Alexandrovich
26 Kooi, Bob W.
26 Llibre, Jaume
26 Rodríguez-Luis, Alejandro J.
24 Rinaldi, Sergio
21 Algaba, Antonio
20 Zhang, Chunrui
19 Osinga, Hinke Maria
18 Champneys, Alan R.
18 Govaerts, Willy J. F.
18 Mello, Luis Fernando O.
18 Yang, Qigui
17 Ponce, Enrique
17 Wang, Wendi
16 Meijer, Hil G. E.
15 Freire Macías, Emilio
15 Simpson, David John Warwick
15 Tang, Sanyi
15 Wei, Zhouchao
15 Xiao, Yanni
15 Zheng, Baodong
14 de Carvalho Braga, Denis
14 Jeffrey, Mike R.
13 Chen, Hebai
13 Chen, Lansun
13 Gragnani, Alessandra
13 Lu, Qishao
13 Páez Chávez, Joseph Nikolai
12 Broer, Henk W.
12 Chattopadhyay, Joydev
12 Hommes, Cars H.
12 Yu, Pei
11 Chen, Guanrong
11 Gyllenberg, Mats
11 Hüls, Thorsten
11 Jiang, Weihua
11 Merino, Manuel
11 Valverde, Jose C.
10 Chung, Kwok-Wai
10 Dercole, Fabio
10 Gonchenko, Sergey V.
10 Guo, Shangjiang
10 Kühn, Christian
10 Pagano, Daniel Juan
10 Samanta, Guru Prasad
10 Zhusubaliev, Zhanybaĭ Tursunbaevich
9 Aihara, Kazuyuki
9 Banerjee, Malay
9 Bashkirtseva, Irina Adol’fovna
9 Chen, Xingwu
9 De Feo, Oscar
9 Feichtinger, Gustav
9 Fernández-Sánchez, Fernando
9 Gakkhar, Sunita
9 Kevrekidis, Ioannis George
9 Moiola, Jorge Luis
9 Peng, Mingshu
9 Ruan, Shigui
9 Sahoo, Banshidhar
9 Song, Yongli
9 Teixeira, Marco Antonio
9 Wei, Junjie
9 Wu, Xiaoqin P.
9 Yagasaki, Kazuyuki
8 Boer, Martin P.
8 di Bernardo, Mario
8 Diekmann, Odo
8 Ding, Xiaohua
8 Doedel, Eusebius J.
8 Gardini, Laura
8 Han, Maoan
8 Mosekilde, Erik
8 Niu, Lei
8 Olivar, Gerard
8 Poria, Swarup
8 Qin, Bo-Wei
8 Qin, Wenjie
8 Ryashko, Lev Borisovich
8 Scarabel, Francesca
8 M-Seara, Tere
8 Shilnikov, Andrey L.
8 Tonon, Durval José
8 Torres Peral, Francisco
8 Valls Anglés, Cláudia
8 van Gorder, Robert Ashton
8 Wang, Liancheng
8 Xiao, Dongmei
8 Xie, Jianhua
8 Zhang, Weinian
8 Zhu, Huaiping
7 Aguirre, Pablo
7 Angulo, Fabiola
7 Campbell, Sue Ann
7 de Carvalho, Tiago
7 Hogan, S. John
7 Huang, Lihong
7 Janovský, Vladimír
7 Jiang, Jifa
7 Kuznetsov, Nikolay Vladimirovich
...and 3,343 more Authors
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Cited in 270 Serials

288 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
138 Nonlinear Dynamics
125 Physica D
121 Chaos, Solitons and Fractals
76 Journal of Theoretical Biology
75 Chaos
72 Applied Mathematics and Computation
59 Communications in Nonlinear Science and Numerical Simulation
55 Nonlinear Analysis. Real World Applications
53 Mathematical Biosciences
53 SIAM Journal on Applied Dynamical Systems
48 Journal of Mathematical Biology
41 Journal of Mathematical Analysis and Applications
39 Journal of Differential Equations
39 Discrete and Continuous Dynamical Systems. Series B
35 Journal of Computational and Applied Mathematics
33 Theoretical Population Biology
32 Bulletin of Mathematical Biology
32 Journal of Difference Equations and Applications
31 Discrete Dynamics in Nature and Society
28 Advances in Difference Equations
25 Journal of Dynamics and Differential Equations
23 Mathematics and Computers in Simulation
22 Journal of Economic Dynamics & Control
21 Applied Mathematical Modelling
20 Physics Letters. A
19 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
18 Journal of Fluid Mechanics
18 Journal of Nonlinear Science
18 Abstract and Applied Analysis
18 Journal of Biological Dynamics
17 Differential Equations and Dynamical Systems
16 Discrete and Continuous Dynamical Systems
16 Mathematical Problems in Engineering
14 Nonlinearity
14 Journal of Computational Neuroscience
14 Regular and Chaotic Dynamics
13 The Journal of Mathematical Neuroscience
12 Mathematical and Computer Modelling
11 Biological Cybernetics
11 Mathematical Methods in the Applied Sciences
10 Complexity
10 Qualitative Theory of Dynamical Systems
10 Mathematical Modelling of Natural Phenomena
10 International Journal of Biomathematics
9 Journal of the Franklin Institute
9 Acta Applicandae Mathematicae
9 Mathematical Biosciences and Engineering
8 Computers & Mathematics with Applications
8 Applied Mathematics Letters
8 Journal of Computational Dynamics
7 Automatica
6 Computer Methods in Applied Mechanics and Engineering
6 Journal of Statistical Physics
6 Systems & Control Letters
6 Neural Computation
6 Japan Journal of Industrial and Applied Mathematics
6 SIAM Journal on Applied Mathematics
6 Journal of Applied Mathematics
6 Journal of Applied Analysis and Computation
6 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
5 Acta Mechanica
5 Numerische Mathematik
5 Dynamics and Stability of Systems
5 Neural Networks
5 Automation and Remote Control
5 Journal of Biological Systems
5 Dynamical Systems
5 Journal of Applied Mathematics and Computing
5 Acta Mechanica Sinica
5 Discrete and Continuous Dynamical Systems. Series S
5 Advances in Mathematical Physics
4 International Journal of Control
4 Journal of Mathematical Physics
4 Physica A
4 ZAMP. Zeitschrift für angewandte Mathematik und Physik
4 International Journal of Mathematics and Mathematical Sciences
4 International Journal of Circuit Theory and Applications
4 Journal of Economic Theory
4 Journal of Optimization Theory and Applications
4 Ricerche di Matematica
4 Mathematical Social Sciences
4 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
4 European Journal of Operational Research
4 International Journal of Computer Mathematics
4 Celestial Mechanics and Dynamical Astronomy
4 Indagationes Mathematicae. New Series
4 Journal of Mathematical Sciences (New York)
4 Journal of Mathematical Chemistry
4 Mathematical and Computer Modelling of Dynamical Systems
4 Journal of Dynamical and Control Systems
4 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
3 Applicable Analysis
3 Computers and Fluids
3 Journal of Engineering Mathematics
3 Mathematics of Computation
3 Journal of Mathematical Economics
3 Kybernetika
3 Applied Numerical Mathematics
3 Games and Economic Behavior
...and 170 more Serials
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Cited in 47 Fields

1,185 Ordinary differential equations (34-XX)
1,028 Dynamical systems and ergodic theory (37-XX)
959 Biology and other natural sciences (92-XX)
234 Numerical analysis (65-XX)
196 Partial differential equations (35-XX)
172 Systems theory; control (93-XX)
148 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
135 Mechanics of particles and systems (70-XX)
125 Difference and functional equations (39-XX)
85 Fluid mechanics (76-XX)
42 Information and communication theory, circuits (94-XX)
39 Mechanics of deformable solids (74-XX)
32 Probability theory and stochastic processes (60-XX)
32 Computer science (68-XX)
24 Statistical mechanics, structure of matter (82-XX)
24 Operations research, mathematical programming (90-XX)
23 Optics, electromagnetic theory (78-XX)
23 Geophysics (86-XX)
21 Operator theory (47-XX)
21 Calculus of variations and optimal control; optimization (49-XX)
16 Classical thermodynamics, heat transfer (80-XX)
15 Statistics (62-XX)
12 Integral equations (45-XX)
9 Combinatorics (05-XX)
7 Global analysis, analysis on manifolds (58-XX)
7 Quantum theory (81-XX)
5 Approximations and expansions (41-XX)
3 Linear and multilinear algebra; matrix theory (15-XX)
3 Measure and integration (28-XX)
3 Relativity and gravitational theory (83-XX)
2 General and overarching topics; collections (00-XX)
2 History and biography (01-XX)
2 Commutative algebra (13-XX)
2 Several complex variables and analytic spaces (32-XX)
2 Differential geometry (53-XX)
2 Algebraic topology (55-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 Algebraic geometry (14-XX)
1 Nonassociative rings and algebras (17-XX)
1 Functions of a complex variable (30-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Integral transforms, operational calculus (44-XX)
1 Functional analysis (46-XX)
1 Convex and discrete geometry (52-XX)
1 General topology (54-XX)
1 Manifolds and cell complexes (57-XX)
1 Mathematics education (97-XX)

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