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Mischaikow, Konstantin

Author ID: mischaikow.konstantin Recent zbMATH articles by "Mischaikow, Konstantin"
Published as: Mischaikow, Konstantin; Mischaikow, K.; Mischaikov, Konstantin; Mischiakow, Konstantin
all top 5

Co-Authors

14 single-authored
18 Gedeon, Tomáš
17 Kokubu, Hiroshi
16 Mrozek, Marian
13 Kalies, William D.
12 Harker, Shaun
12 Oka, Hiroe
11 Gameiro, Marcio F.
9 Hutson, Vivian
7 Pilarczyk, Paweł
6 Day, Sarah L.
6 Hattori, Harumi
5 Kramár, Miroslav
5 Lessard, Jean-Philippe
5 Nanda, Vidit
5 Reineck, James F.
5 Wanner, Thomas
4 Arai, Zin
4 Cummins, Bree
4 Junge, Oliver
4 Kepley, Shane
4 McCord, Christopher K.
4 Vandervorst, Robertus C. A. M.
4 Vickers, Glenn T.
4 Yi, Yingfei
3 Lou, Yuan
3 Schatz, Michael F.
3 Weibel, Charles A.
2 Batko, Bogdan
2 Bauer, Ulrich
2 Boczko, Erik M.
2 Bush, Justin
2 Carbinatto, Maria C.
2 Flores, Gilberto
2 Franzosa, Robert D.
2 Goullet, Arnaud
2 Hien, David
2 Hiraoka, Yasuaki
2 Kaczynski, Tomasz
2 Kondic, Lou
2 Kurtuldu, Huseyin
2 Levanger, Rachel
2 Maier-Paape, Stanislaus
2 Mireles-James, Jason D.
2 Poláčik, Peter
2 Spendlove, Kelly
2 van den Berg, Jan Bouwe
2 Wolkowicz, Gail S. K.
2 Zgliczyński, Piotr
2 Zhang, Lun
1 Alsing, Paul M.
1 Bambusi, Dario
1 Blair, Howard A.
1 Corne, Matthew
1 Cowan, Wes
1 Cyranka, Jacek
1 Dockery, Jack D.
1 Duncan, William
1 Eramian, Hamed
1 Eslami, Mohammed
1 Ferry, Steven C.
1 Fiedler, Bernold
1 Grinfeld, Michael
1 Hung, Ying
1 Huttinga, Zane
1 Izumi, Shunsuke
1 Jaquette, Jonathan
1 Jones, Gordon
1 Kasti, Dinesh
1 Kovalcinova, Lenka
1 Krishan, Kapilanjan
1 Kuksin, Sergeĭ B.
1 Kwapisz, Jaroslaw
1 Lipiński, Michał
1 López-Gómez, Julián
1 Luzzatto, Stefano
1 Madruga, Santiago
1 Martínez, Salomé
1 Miller, Ulrich
1 Miller, Warner Allen
1 Minzoni, Antonmaria Alessio
1 Miyaji, Tomoyuki
1 Mok, Kafung
1 Moll, Victor Hugo
1 Morita, Yoshihisa
1 Nishiura, Yasumasa
1 Obayashi, Ippei
1 Ogawa, Toshiyuki
1 Oka, Hireo
1 Patterson, Kate
1 Paul, Mark R.
1 Pelinovsky, Dmitry Efimovich
1 Pernarowski, Mark
1 Przybylski, Mateusz
1 Queirolo, Elena
1 Smith, Hal Leslie
1 Snijders, Max
1 Suri, Balachandra
1 Szymczak, Andrzej
1 Takaishi, Takeshi
1 Tanaka, Kazunaga
...and 8 more Co-Authors
all top 5

Serials

15 Journal of Differential Equations
12 SIAM Journal on Applied Dynamical Systems
8 Journal of Dynamics and Differential Equations
5 Journal of Mathematical Biology
5 SIAM Journal on Mathematical Analysis
5 Foundations of Computational Mathematics
4 Physica D
4 Japan Journal of Industrial and Applied Mathematics
4 Journal of Computational Dynamics
3 Transactions of the American Mathematical Society
3 Nonlinear Analysis. Theory, Methods & Applications
3 Journal of Applied and Computational Topology
2 Nonlinearity
2 Mathematics of Computation
2 Proceedings of the American Mathematical Society
2 The Annals of Applied Probability
2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
2 Chaos
2 Homology, Homotopy and Applications
2 SIAM Journal on Applied Algebra and Geometry
1 Archive for Rational Mechanics and Analysis
1 Journal of Fluid Mechanics
1 Rocky Mountain Journal of Mathematics
1 Bulletin of Mathematical Biology
1 Mathematics and Computers in Simulation
1 Michigan Mathematical Journal
1 SIAM Journal on Numerical Analysis
1 Topology and its Applications
1 Ergodic Theory and Dynamical Systems
1 Applied Numerical Mathematics
1 Discrete & Computational Geometry
1 Journal of the American Mathematical Society
1 Differential and Integral Equations
1 Dynamic Systems and Applications
1 Bulletin of the American Mathematical Society. New Series
1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
1 Topological Methods in Nonlinear Analysis
1 Physics of Fluids
1 Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica
1 Electronic Research Announcements of the American Mathematical Society
1 Discrete and Continuous Dynamical Systems
1 Resenhas do Instituto do Matemática e Estatística da Universidade de São Paulo
1 Revista Matemática Complutense
1 Discrete and Continuous Dynamical Systems. Series B
1 Acta Numerica
1 Applied Mathematical Sciences
1 Banach Center Publications
1 RIMS Kôkyûroku Bessatsu
1 Axioms

Publications by Year

Citations contained in zbMATH Open

119 Publications have been cited 2,833 times in 1,662 Documents Cited by Year
The evolution of dispersal. Zbl 1052.92042
Hutson, V.; Martinez, S.; Mischaikow, K.; Vickers, G. T.
245
2003
The evolution of slow dispersal rates: a reaction diffusion model. Zbl 0921.92021
Dockery, Jack; Hutson, Vivian; Mischaikow, Konstantin; Pernarowski, Mark
242
1998
Computational homology. Zbl 1039.55001
Kaczynski, Tomasz; Mischaikow, Konstantin; Mrozek, Marian
150
2004
Asymptotically autonomous semiflows: Chain recurrence and Lyapunov functions. Zbl 0829.34037
Mischaikow, Konstantin; Smith, Hal; Thieme, Horst R.
116
1995
The evolution of dispersal rates in a heterogeneous time-periodic environment. Zbl 0996.92035
Hutson, V.; Mischaikow, K.; Poláčik, P.
107
2001
Chaos in the Lorenz equations: A computer-assisted proof. Zbl 0820.58042
Mischaikow, Konstantin; Mrozek, Marian
105
1995
Validated continuation for equilibria of PDEs. Zbl 1151.65074
Day, Sarah; Lessard, Jean-Philippe; Mischaikow, Konstantin
83
2007
Morse theory for filtrations and efficient computation of persistent homology. Zbl 1278.57030
Mischaikow, Konstantin; Nanda, Vidit
69
2013
Homoclinic orbits in a first order superquadratic Hamiltonian system: Convergence of subharmonic orbits. Zbl 0787.34041
Tanaka, Kazunaga; Mischaikow, Konstantin
65
1991
Conley index. Zbl 1035.37010
Mischaikow, Konstantin; Mrozek, Marian
64
2002
Convergence in competition models with small diffusion coefficients. Zbl 1074.35054
Hutson, V.; Lou, Y.; Mischaikow, K.
64
2005
A database schema for the analysis of global dynamics of multiparameter systems. Zbl 1186.37021
Arai, Zin; Kalies, William; Kokubu, Hiroshi; Mischaikow, Konstantin; Oka, Hiroe; Pilarczyk, Paweł
57
2009
Rigorous numerics for symmetric connecting orbits: even homoclinics of the Gray-Scott equation. Zbl 1231.34081
van den Berg, Jan Bouwe; Mireles-James, Jason D.; Lessard, Jean-Philippe; Mischaikow, Konstantin
48
2011
Rigorous numerics for partial differential equations: The Kuramoto-Sivashinsky equation. Zbl 0984.65101
Zgliczyński, Piotr; Mischaikow, Konstantin
47
2001
Spatial heterogeneity of resources versus Lotka-Volterra dynamics. Zbl 1023.35047
Hutson, V.; Lou, Y.; Mischaikow, K.
46
2002
Travelling waves for mutualist species. Zbl 0815.35044
Mischaikow, Konstantin; Hutson, Vivian
44
1993
An algorithmic approach to chain recurrence. Zbl 1099.37010
Kalies, W. D.; Mischaikow, K.; VanderVorst, R. C. A. M.
44
2005
Global smooth solution curves using rigorous branch following. Zbl 1206.37045
van den Berg, Jan Bouwe; Lessard, Jean-Philippe; Mischaikow, Konstantin
43
2010
Competing species near a degenerate limit. Zbl 1043.35080
Hutson, V.; Lou, Y.; Mischaikow, K.; Polácik, P.
40
2003
Isolating neighborhoods and chaos. Zbl 0840.58033
Mischaikow, Konstantin; Mrozek, Marian
37
1995
Chaos in the Lorenz equations: A computer assisted proof. II: Details. Zbl 0913.58038
Mischaikow, Konstantin; Mrozek, Marian
36
1998
Limit behaviour for a competing species problem with diffusion. Zbl 0848.35057
Hutson, V.; López-Gómez, J.; Mischaikow, K.; Vickers, G.
36
1995
Rigorous numerics for global dynamics: a study of the Swift-Hohenberg equation. Zbl 1058.35050
Day, Sarah; Hiraoka, Yasuaki; Mischaikow, Konstantin; Ogawa, Toshiyuki
36
2005
A topological measurement of protein compressibility. Zbl 1320.55004
Gameiro, Marcio; Hiraoka, Yasuaki; Izumi, Shunsuke; Kramar, Miroslav; Mischaikow, Konstantin; Nanda, Vidit
35
2015
Rigorous a posteriori computation of (un)stable manifolds and connecting orbits for analytic maps. Zbl 1330.37029
Mireles James, J. D.; Mischaikow, Konstantin
33
2013
Combinatorial-topological framework for the analysis of global dynamics. Zbl 1319.37004
Bush, Justin; Gameiro, Marcio; Harker, Shaun; Kokubu, Hiroshi; Mischaikow, Konstantin; Obayashi, Ippei; Pilarczyk, Paweł
33
2012
Travelling waves in predator-prey systems. Zbl 0815.35045
Mischaikow, Konstantin; Reineck, James F.
30
1993
Discrete Morse theoretic algorithms for computing homology of complexes and maps. Zbl 1387.55010
Harker, Shaun; Mischaikow, Konstantin; Mrozek, Marian; Nanda, Vidit
30
2014
Non-local dispersal. Zbl 1212.35484
Grinfeld, M.; Hines, G.; Hutson, V.; Mischaikow, K.; Vickers, G. T.
29
2005
A rigorous numerical method for the global analysis of infinite-dimensional discrete dynamical systems. Zbl 1059.37068
Day, S.; Junge, O.; Mischaikow, K.
29
2004
Chaos in the Lorenz equations: A computer assisted proof. III: Classical parameter values. Zbl 0979.37015
Mischaikow, Konstantin; Mrozek, Marian; Szymczak, Andrzej
27
2001
Global asymptotic dynamics of gradient-like bistable equations. Zbl 0841.35014
Mischaikow, Konstantin
26
1995
Combinatorial representation of parameter space for switching networks. Zbl 1360.37180
Cummins, Bree; Gedeon, Tomas; Harker, Shaun; Mischaikow, Konstantin; Mok, Kafung
26
2016
A predator-prey system involving group defense: A connection matrix approach. Zbl 0724.34015
Mischaikow, Konstantin; Wolkowicz, Gail
26
1990
On the global dynamics of attractors for scalar delay equations. Zbl 0861.58023
McCord, Christopher; Mischaikow, Konstantin
25
1996
Validated continuation over large parameter ranges for equilibria of PDEs. Zbl 1166.65379
Gameiro, Marcio; Lessard, Jean-Philippe; Mischaikow, Konstantin
23
2008
Rigorous numerics for the Cahn-Hilliard equation on the unit square. Zbl 1160.37418
Maier-Paape, Stanislaus; Miller, Ulrich; Mischaikow, Konstantin; Wanner, Thomas
22
2008
Analysis of Kolmogorov flow and Rayleigh-Bénard convection using persistent homology. Zbl 1415.76582
Kramár, Miroslav; Levanger, Rachel; Tithof, Jeffrey; Suri, Balachandra; Xu, Mu; Paul, Mark; Schatz, Michael F.; Mischaikow, Konstantin
22
2016
The connection matrix theory for semiflows on (not necessarily locally compact) metric spaces. Zbl 0676.54048
Franzosa, Robert D.; Mischaikow, Konstantin
21
1988
Structure of the attractor of the Cahn-Hilliard equation on a square. Zbl 1148.35008
Maier-Paape, Stanislaus; Mischaikow, Konstantin; Wanner, Thomas
21
2007
Horseshoes and the Conley index spectrum. Zbl 0971.37005
Carbinatto, Maria C.; Kwapisz, Jaroslaw; Mischaikow, Konstantin
20
2000
Lattice structures for attractors. I. Zbl 1346.37013
Kalies, William D.; Mischaikow, Konstantin; Vandervorst, Robert C. A. M.
20
2014
Zeta functions, periodic trajectories, and the Conley index. Zbl 0833.34045
McCord, Christopher; Mischaikow, Konstantin; Mrozek, Marian
19
1995
Graph approach to the computation of the homology of continuous maps. Zbl 1104.55001
Mischaikow, Konstantin; Mrozek, Marian; Pilarczyk, Pawel
19
2005
Structure of the global attractor of cyclic feedback systems. Zbl 0823.34057
Gedeon, Tomáš; Mischaikow, Konstantin
17
1995
On Conley index theory: A brief introduction. Zbl 0946.37010
Mischaikow, Konstantin
17
1999
A dynamical system approach to a phase transition problem. Zbl 0772.35029
Hattori, Harumi; Mischaikow, Konstantin
16
1991
Conley index theory. Zbl 0847.58062
Mischaikow, Konstantin
16
1995
Topological techniques for efficient rigorous computation in dynamics. Zbl 1123.37328
Mischaikow, Konstantin
16
2002
Global dynamics for steep nonlinearities in two dimensions. Zbl 1376.34019
Gedeon, Tomáš; Harker, Shaun; Kokubu, Hiroshi; Mischaikow, Konstantin; Oka, Hiroe
16
2017
Polygonal approximation of flows. Zbl 1118.37017
Boczko, Erik; Kalies, William D.; Mischaikow, Konstantin
15
2007
Lattice structures for attractors. II. Zbl 1373.37039
Kalies, William D.; Mischaikow, Konstantin; Vandervorst, Robert C. A. M.
14
2016
A study of rigorous ODE integrators for multi-scale set-oriented computations. Zbl 1382.65199
Miyaji, Tomoyuki; Pilarczyk, Paweł; Gameiro, Marcio; Kokubu, Hiroshi; Mischaikow, Konstantin
14
2016
Computing homology. Zbl 1028.55001
Kaczynski, Tomasz; Mischaikow, Konstantin; Mrozek, Marian
13
2003
Connected simple systems, transition matrices and heteroclinic bifurcations. Zbl 0763.34028
McCord, Christopher; Mischaikow, Konstantin
13
1992
Quantifying force networks in particulate systems. Zbl 1349.74083
Kramár, Miroslav; Goullet, Arnaud; Kondic, Lou; Mischaikow, Konstantin
13
2014
Stability and uniqueness of slowly oscillating periodic solutions to Wright’s equation. Zbl 1382.34069
Jaquette, Jonathan; Lessard, Jean-Philippe; Mischaikow, Konstantin
13
2017
Rigorous computations of homoclinic tangencies. Zbl 1210.37008
Arai, Zin; Mischaikow, Konstantin
12
2006
Homology and symmetry breaking in Rayleigh-Bénard convection: experiments and simulations. Zbl 1182.76403
Krishan, Kapilanjan; Kurtuldu, Huseyin; Schatz, Michael F.; Gameiro, Marcio; Mischaikow, Konstantin; Madruga, Santiago
12
2007
Algebraic transition matrices in the Conley index theory. Zbl 0896.58053
Franzosa, Robert; Mischaikow, Konstantin
11
1998
Dynamics of bifurcations for variational problems with \(O(3)\) equivariance: A Conley index approach. Zbl 0756.49003
Fiedler, Bernold; Mischaikow, Konstantin
10
1992
Efficient computation of Lyapunov functions for Morse decompositions. Zbl 1366.37031
Goullet, Arnaud; Harker, Shaun; Mischaikow, Konstantin; Kalies, William D.; Kasti, Dinesh
9
2015
Conley-Morse databases for the angular dynamics of Newton’s method on the plane. Zbl 1338.37004
Bush, Justin; Cowan, Wes; Harker, Shaun; Mischaikow, Konstantin
9
2016
Chaotic solutions in slowly varying perturbations of Hamiltonian systems with applications to shallow water sloshing. Zbl 1005.37028
Gedeon, Tomáš; Kokubu, Hiroshi; Mischaikow, Konstantin; Oka, Hiroe
8
2002
Probabilistic validation of homology computations for nodal domains. Zbl 1131.60047
Mischaikow, Konstantin; Wanner, Thomas
8
2007
Cubical approximation and computation of homology. Zbl 0938.55012
Kalies, William D.; Mischaikow, Konstantin; Watson, Greg
8
1999
Model rejection and parameter reduction via time series. Zbl 1393.37092
Cummins, Bree; Gedeon, Tomas; Harker, Shaun; Mischaikow, Konstantin
8
2018
Dynamics on the global attractor of a gradient flow arising from the Ginzburg-Landau equation. Zbl 0807.58029
Mischaikow, Konstantin; Morita, Yoshihisa
7
1994
Topological horseshoes of traveling waves for a fast-slow predator-prey system. Zbl 1143.34032
Gameiro, Marcio; Gedeon, Tomáš; Kalies, William; Kokubu, Hiroshi; Mischaikow, Konstantin; Oka, Hiroe
7
2007
Quantitative hyperbolicity estimates in one-dimensional dynamics. Zbl 1154.37324
Day, S.; Kokubu, H.; Luzzatto, S.; Mischaikow, K.; Oka, H.; Pilarczyk, P.
7
2008
Conley index approach to sampled dynamics. Zbl 1442.37088
Batko, Bogdan; Mischaikow, Konstantin; Mrozek, Marian; Przybylski, Mateusz
7
2020
Singular index pairs. Zbl 0943.34028
Mischaikow, Konstantin; Mrozek, Marian; Reineck, James F.
6
1999
The Conley index for fast-slow systems. I: One-dimensional slow variable. Zbl 0945.34029
Gedeon, Tomáš; Kokubu, Hiroshi; Mischaikow, Konstantin; Oka, Hiroe; Reineck, James F.
6
1999
Existence of generalized homoclinic orbits for one parameter families of flows. Zbl 0661.34038
Mischaikow, Konstantin
6
1988
Transition systems. Zbl 0677.34046
Mischaikow, Konstantin
6
1989
Probabilistic and numerical validation of homology computations for nodal domains. Zbl 1141.60025
Day, Sarah; Kalies, William D.; Mischaikow, Konstantin; Wanner, Thomas
6
2007
On the existence of intermediate magnetohydrodynamic shock waves. Zbl 0695.76030
Mischaikow, Konstantin; Hattori, Harumi
6
1990
Inducing a map on homology from a correspondence. Zbl 1337.55006
Harker, Shaun; Kokubu, Hiroshi; Mischaikow, Konstantin; Pilarczyk, Paweł
6
2016
Measuring the departures from the Boussinesq approximation in Rayleigh-Bénard convection experiments. Zbl 1241.76186
Kurtuldu, H.; Mischaikow, K.; Schatz, M. F.
5
2011
Horseshoes and the Conley index spectrum. II: The theorem is sharp. Zbl 0954.37009
Carbinatto, M. C.; Mischaikow, K.
5
1999
A comparison framework for interleaved persistence modules. Zbl 1443.55001
Harker, Shaun; Kramár, Miroslav; Levanger, Rachel; Mischaikow, Konstantin
5
2019
Discretization strategies for computing Conley indices and Morse decompositions of flows. Zbl 1373.37043
Weilandt, Frank; Mrozek, Marian; Mischaikow, Konstantin
5
2016
A computational framework for connection matrix theory. Zbl 1487.37018
Harker, Shaun; Mischaikow, Konstantin; Spendlove, Kelly
5
2021
Lattice structures for attractors. III. Zbl 1504.37018
Kalies, W. D.; Mischaikow, K.; Vandervorst, R. C. A. M.
5
2022
Dynamics of cyclic feedback systems. Zbl 0848.34031
Gedeon, T.; Mischaikow, K.
4
1994
Reconstructing functions from random samples. Zbl 1330.55017
Ferry, Steve; Mischaikow, Konstantin; Nanda, Vidit
4
2014
On the slow motions of phase boundaries in the Korteweg theory of capillarity. Zbl 0788.35117
Hattori, Harumi; Mischaikow, Konstantin
4
1992
Graph-based topological approximation of saddle-node bifurcation in maps. Zbl 1254.37014
Arai, Zin; Gameiro, Marcio; Gedeon, Tomas; Kokubu, Hiroshi; Mischaikow, Konstantin; Oka, Hiroe
4
2012
Existence of infinitely many connecting orbits in a singularly perturbed ordinary differential equation. Zbl 0898.34047
Kokubu, Hiroshi; Mischaikow, Konstantin; Oka, Hiroe
4
1996
Equilibria and their stability in networks with steep sigmoidal nonlinearities. Zbl 1483.37107
Duncan, William; Gedeon, Tomas; Kokubu, Hiroshi; Mischaikow, Konstantin; Oka, Hiroe
4
2021
Towards automated chaos verification. Zbl 1102.37027
Day, Sarah; Junge, Oliver; Mischaikow, Konstantin
4
2005
Travelling waves for a cooperative and a competitive-cooperative system. Zbl 0729.76638
Mischaikow, Konstantin
4
1991
Connecting orbit structure of monotone solutions in the shadow system. Zbl 0902.35058
Kokubu, Hiroshi; Mischaikow, Konstantin; Nishiura, Yasumasa; Oka, Hireo; Takaishi, Takeshi
3
1997
Conley index theory. Zbl 0913.00021
3
1999
Conley’s connection matrix. Zbl 0655.34036
Mischaikow, Konstantin
3
1987
Topology-guided sampling of nonhomogeneous random processes. Zbl 1213.60072
Mischaikow, Konstantin; Wanner, Thomas
3
2010
When activators repress and repressors activate: a qualitative analysis of the Shea-Ackers model. Zbl 1166.92021
Gedeon, Tomáš; Mischaikow, Konstantin; Patterson, Kate; Traldi, Eliane
3
2008
The conley index for fast-slow systems. II: multidimensional slow variable. Zbl 1107.34051
Gedeon, Tomáš; Kokubu, Hiroshi; Mischaikow, Konstantin; Oka, Hiroe
3
2006
Equivalence of topological and singular transition matrices in the Conley index theory. Zbl 0853.58080
McCord, Christopher K.; Mischaikow, Konstantin
3
1995
The structure of isolated invariant sets and the Conley index. Zbl 0802.34051
Mischaikow, Konstantin
3
1993
Lattice structures for attractors. III. Zbl 1504.37018
Kalies, W. D.; Mischaikow, K.; Vandervorst, R. C. A. M.
5
2022
Extending combinatorial regulatory network modeling to include activity control and decay modulation. Zbl 1498.92086
Cummins, Bree; Gameiro, Marcio; Gedeon, Tomas; Kepley, Shane; Mischaikow, Konstantin; Zhang, Lun
1
2022
A computational framework for connection matrix theory. Zbl 1487.37018
Harker, Shaun; Mischaikow, Konstantin; Spendlove, Kelly
5
2021
Equilibria and their stability in networks with steep sigmoidal nonlinearities. Zbl 1483.37107
Duncan, William; Gedeon, Tomas; Kokubu, Hiroshi; Mischaikow, Konstantin; Oka, Hiroe
4
2021
Computing linear extensions for polynomial posets subject to algebraic constraints. Zbl 1518.14081
Kepley, Shane; Mischaikow, Konstantin; Zhang, Lun
2
2021
Conley index approach to sampled dynamics. Zbl 1442.37088
Batko, Bogdan; Mischaikow, Konstantin; Mrozek, Marian; Przybylski, Mateusz
7
2020
Contractibility of a persistence map preimage. Zbl 1458.37083
Cyranka, Jacek; Mischaikow, Konstantin; Weibel, Charles
3
2020
A comparison framework for interleaved persistence modules. Zbl 1443.55001
Harker, Shaun; Kramár, Miroslav; Levanger, Rachel; Mischaikow, Konstantin
5
2019
Model rejection and parameter reduction via time series. Zbl 1393.37092
Cummins, Bree; Gedeon, Tomas; Harker, Shaun; Mischaikow, Konstantin
8
2018
Global dynamics for switching systems and their extensions by linear differential equations. Zbl 1380.34035
Huttinga, Zane; Cummins, Bree; Gedeon, Tomáš; Mischaikow, Konstantin
2
2018
Global dynamics for steep nonlinearities in two dimensions. Zbl 1376.34019
Gedeon, Tomáš; Harker, Shaun; Kokubu, Hiroshi; Mischaikow, Konstantin; Oka, Hiroe
16
2017
Stability and uniqueness of slowly oscillating periodic solutions to Wright’s equation. Zbl 1382.34069
Jaquette, Jonathan; Lessard, Jean-Philippe; Mischaikow, Konstantin
13
2017
Topological signals of singularities in Ricci flow. Zbl 1422.57062
Alsing, Paul M.; Blair, Howard A.; Corne, Matthew; Jones, Gordon; Miller, Warner A.; Mischaikow, Konstantin; Nanda, Vidit
1
2017
Combinatorial representation of parameter space for switching networks. Zbl 1360.37180
Cummins, Bree; Gedeon, Tomas; Harker, Shaun; Mischaikow, Konstantin; Mok, Kafung
26
2016
Analysis of Kolmogorov flow and Rayleigh-Bénard convection using persistent homology. Zbl 1415.76582
Kramár, Miroslav; Levanger, Rachel; Tithof, Jeffrey; Suri, Balachandra; Xu, Mu; Paul, Mark; Schatz, Michael F.; Mischaikow, Konstantin
22
2016
Lattice structures for attractors. II. Zbl 1373.37039
Kalies, William D.; Mischaikow, Konstantin; Vandervorst, Robert C. A. M.
14
2016
A study of rigorous ODE integrators for multi-scale set-oriented computations. Zbl 1382.65199
Miyaji, Tomoyuki; Pilarczyk, Paweł; Gameiro, Marcio; Kokubu, Hiroshi; Mischaikow, Konstantin
14
2016
Conley-Morse databases for the angular dynamics of Newton’s method on the plane. Zbl 1338.37004
Bush, Justin; Cowan, Wes; Harker, Shaun; Mischaikow, Konstantin
9
2016
Inducing a map on homology from a correspondence. Zbl 1337.55006
Harker, Shaun; Kokubu, Hiroshi; Mischaikow, Konstantin; Pilarczyk, Paweł
6
2016
Discretization strategies for computing Conley indices and Morse decompositions of flows. Zbl 1373.37043
Weilandt, Frank; Mrozek, Marian; Mischaikow, Konstantin
5
2016
A topological measurement of protein compressibility. Zbl 1320.55004
Gameiro, Marcio; Hiraoka, Yasuaki; Izumi, Shunsuke; Kramar, Miroslav; Mischaikow, Konstantin; Nanda, Vidit
35
2015
Efficient computation of Lyapunov functions for Morse decompositions. Zbl 1366.37031
Goullet, Arnaud; Harker, Shaun; Mischaikow, Konstantin; Kalies, William D.; Kasti, Dinesh
9
2015
Discrete Morse theoretic algorithms for computing homology of complexes and maps. Zbl 1387.55010
Harker, Shaun; Mischaikow, Konstantin; Mrozek, Marian; Nanda, Vidit
30
2014
Lattice structures for attractors. I. Zbl 1346.37013
Kalies, William D.; Mischaikow, Konstantin; Vandervorst, Robert C. A. M.
20
2014
Quantifying force networks in particulate systems. Zbl 1349.74083
Kramár, Miroslav; Goullet, Arnaud; Kondic, Lou; Mischaikow, Konstantin
13
2014
Reconstructing functions from random samples. Zbl 1330.55017
Ferry, Steve; Mischaikow, Konstantin; Nanda, Vidit
4
2014
Morse theory for filtrations and efficient computation of persistent homology. Zbl 1278.57030
Mischaikow, Konstantin; Nanda, Vidit
69
2013
Rigorous a posteriori computation of (un)stable manifolds and connecting orbits for analytic maps. Zbl 1330.37029
Mireles James, J. D.; Mischaikow, Konstantin
33
2013
Combinatorial-topological framework for the analysis of global dynamics. Zbl 1319.37004
Bush, Justin; Gameiro, Marcio; Harker, Shaun; Kokubu, Hiroshi; Mischaikow, Konstantin; Obayashi, Ippei; Pilarczyk, Paweł
33
2012
Graph-based topological approximation of saddle-node bifurcation in maps. Zbl 1254.37014
Arai, Zin; Gameiro, Marcio; Gedeon, Tomas; Kokubu, Hiroshi; Mischaikow, Konstantin; Oka, Hiroe
4
2012
Rigorous numerics for symmetric connecting orbits: even homoclinics of the Gray-Scott equation. Zbl 1231.34081
van den Berg, Jan Bouwe; Mireles-James, Jason D.; Lessard, Jean-Philippe; Mischaikow, Konstantin
48
2011
Measuring the departures from the Boussinesq approximation in Rayleigh-Bénard convection experiments. Zbl 1241.76186
Kurtuldu, H.; Mischaikow, K.; Schatz, M. F.
5
2011
Global smooth solution curves using rigorous branch following. Zbl 1206.37045
van den Berg, Jan Bouwe; Lessard, Jean-Philippe; Mischaikow, Konstantin
43
2010
Topology-guided sampling of nonhomogeneous random processes. Zbl 1213.60072
Mischaikow, Konstantin; Wanner, Thomas
3
2010
A database schema for the analysis of global dynamics of multiparameter systems. Zbl 1186.37021
Arai, Zin; Kalies, William; Kokubu, Hiroshi; Mischaikow, Konstantin; Oka, Hiroe; Pilarczyk, Paweł
57
2009
A database schema for the analysis of global dynamics. Zbl 1183.37026
Arai, Zin; Kalies, William; Kokubu, Hiroshi; Mischaikow, Konstantin; Oka, Hiroe; Pilarczyk, Pawel
1
2009
Validated continuation over large parameter ranges for equilibria of PDEs. Zbl 1166.65379
Gameiro, Marcio; Lessard, Jean-Philippe; Mischaikow, Konstantin
23
2008
Rigorous numerics for the Cahn-Hilliard equation on the unit square. Zbl 1160.37418
Maier-Paape, Stanislaus; Miller, Ulrich; Mischaikow, Konstantin; Wanner, Thomas
22
2008
Quantitative hyperbolicity estimates in one-dimensional dynamics. Zbl 1154.37324
Day, S.; Kokubu, H.; Luzzatto, S.; Mischaikow, K.; Oka, H.; Pilarczyk, P.
7
2008
When activators repress and repressors activate: a qualitative analysis of the Shea-Ackers model. Zbl 1166.92021
Gedeon, Tomáš; Mischaikow, Konstantin; Patterson, Kate; Traldi, Eliane
3
2008
Validated continuation for equilibria of PDEs. Zbl 1151.65074
Day, Sarah; Lessard, Jean-Philippe; Mischaikow, Konstantin
83
2007
Structure of the attractor of the Cahn-Hilliard equation on a square. Zbl 1148.35008
Maier-Paape, Stanislaus; Mischaikow, Konstantin; Wanner, Thomas
21
2007
Polygonal approximation of flows. Zbl 1118.37017
Boczko, Erik; Kalies, William D.; Mischaikow, Konstantin
15
2007
Homology and symmetry breaking in Rayleigh-Bénard convection: experiments and simulations. Zbl 1182.76403
Krishan, Kapilanjan; Kurtuldu, Huseyin; Schatz, Michael F.; Gameiro, Marcio; Mischaikow, Konstantin; Madruga, Santiago
12
2007
Probabilistic validation of homology computations for nodal domains. Zbl 1131.60047
Mischaikow, Konstantin; Wanner, Thomas
8
2007
Topological horseshoes of traveling waves for a fast-slow predator-prey system. Zbl 1143.34032
Gameiro, Marcio; Gedeon, Tomáš; Kalies, William; Kokubu, Hiroshi; Mischaikow, Konstantin; Oka, Hiroe
7
2007
Probabilistic and numerical validation of homology computations for nodal domains. Zbl 1141.60025
Day, Sarah; Kalies, William D.; Mischaikow, Konstantin; Wanner, Thomas
6
2007
Rigorous computations of homoclinic tangencies. Zbl 1210.37008
Arai, Zin; Mischaikow, Konstantin
12
2006
The conley index for fast-slow systems. II: multidimensional slow variable. Zbl 1107.34051
Gedeon, Tomáš; Kokubu, Hiroshi; Mischaikow, Konstantin; Oka, Hiroe
3
2006
Convergence in competition models with small diffusion coefficients. Zbl 1074.35054
Hutson, V.; Lou, Y.; Mischaikow, K.
64
2005
An algorithmic approach to chain recurrence. Zbl 1099.37010
Kalies, W. D.; Mischaikow, K.; VanderVorst, R. C. A. M.
44
2005
Rigorous numerics for global dynamics: a study of the Swift-Hohenberg equation. Zbl 1058.35050
Day, Sarah; Hiraoka, Yasuaki; Mischaikow, Konstantin; Ogawa, Toshiyuki
36
2005
Non-local dispersal. Zbl 1212.35484
Grinfeld, M.; Hines, G.; Hutson, V.; Mischaikow, K.; Vickers, G. T.
29
2005
Graph approach to the computation of the homology of continuous maps. Zbl 1104.55001
Mischaikow, Konstantin; Mrozek, Marian; Pilarczyk, Pawel
19
2005
Towards automated chaos verification. Zbl 1102.37027
Day, Sarah; Junge, Oliver; Mischaikow, Konstantin
4
2005
Computational homology. Zbl 1039.55001
Kaczynski, Tomasz; Mischaikow, Konstantin; Mrozek, Marian
150
2004
A rigorous numerical method for the global analysis of infinite-dimensional discrete dynamical systems. Zbl 1059.37068
Day, S.; Junge, O.; Mischaikow, K.
29
2004
Selection of slow diffusion in a reaction diffusion model: limiting cases. Zbl 1073.35104
Flores, Gilberto; Mischaikow, Konstantin
1
2004
The evolution of dispersal. Zbl 1052.92042
Hutson, V.; Martinez, S.; Mischaikow, K.; Vickers, G. T.
245
2003
Competing species near a degenerate limit. Zbl 1043.35080
Hutson, V.; Lou, Y.; Mischaikow, K.; Polácik, P.
40
2003
Computing homology. Zbl 1028.55001
Kaczynski, Tomasz; Mischaikow, Konstantin; Mrozek, Marian
13
2003
Conley index. Zbl 1035.37010
Mischaikow, Konstantin; Mrozek, Marian
64
2002
Spatial heterogeneity of resources versus Lotka-Volterra dynamics. Zbl 1023.35047
Hutson, V.; Lou, Y.; Mischaikow, K.
46
2002
Topological techniques for efficient rigorous computation in dynamics. Zbl 1123.37328
Mischaikow, Konstantin
16
2002
Chaotic solutions in slowly varying perturbations of Hamiltonian systems with applications to shallow water sloshing. Zbl 1005.37028
Gedeon, Tomáš; Kokubu, Hiroshi; Mischaikow, Konstantin; Oka, Hiroe
8
2002
The evolution of dispersal rates in a heterogeneous time-periodic environment. Zbl 0996.92035
Hutson, V.; Mischaikow, K.; Poláčik, P.
107
2001
Rigorous numerics for partial differential equations: The Kuramoto-Sivashinsky equation. Zbl 0984.65101
Zgliczyński, Piotr; Mischaikow, Konstantin
47
2001
Chaos in the Lorenz equations: A computer assisted proof. III: Classical parameter values. Zbl 0979.37015
Mischaikow, Konstantin; Mrozek, Marian; Szymczak, Andrzej
27
2001
Special issue in celebration of Jack K. Hale’s 70th birthday. Part 3 of 4 parts. Zbl 0982.00063
1
2001
Horseshoes and the Conley index spectrum. Zbl 0971.37005
Carbinatto, Maria C.; Kwapisz, Jaroslaw; Mischaikow, Konstantin
20
2000
Special issue in celebration of Jack K. Hale’s 70th birthday. Part 2 of 4 parts. Zbl 0969.00109
2
2000
Multiple travelling waves in evolutionary game dynamics. Zbl 1306.91020
Hutson, V.; Mischaikow, K.; Vickers, G. T.
2
2000
On Conley index theory: A brief introduction. Zbl 0946.37010
Mischaikow, Konstantin
17
1999
Cubical approximation and computation of homology. Zbl 0938.55012
Kalies, William D.; Mischaikow, Konstantin; Watson, Greg
8
1999
Singular index pairs. Zbl 0943.34028
Mischaikow, Konstantin; Mrozek, Marian; Reineck, James F.
6
1999
The Conley index for fast-slow systems. I: One-dimensional slow variable. Zbl 0945.34029
Gedeon, Tomáš; Kokubu, Hiroshi; Mischaikow, Konstantin; Oka, Hiroe; Reineck, James F.
6
1999
Horseshoes and the Conley index spectrum. II: The theorem is sharp. Zbl 0954.37009
Carbinatto, M. C.; Mischaikow, K.
5
1999
Conley index theory. Zbl 0913.00021
3
1999
Directional transition matrix. Zbl 0956.37007
Kokubu, Hiroshi; Mischaikow, Konstantin; Oka, Hiroe
1
1999
Post-fertilization traveling waves on eggs. Zbl 0944.35042
Flores, Gilberto; Minzoni, Antonmaria; Mischiakow, Konstantin; Moll, Victor
1
1999
The evolution of slow dispersal rates: a reaction diffusion model. Zbl 0921.92021
Dockery, Jack; Hutson, Vivian; Mischaikow, Konstantin; Pernarowski, Mark
242
1998
Chaos in the Lorenz equations: A computer assisted proof. II: Details. Zbl 0913.58038
Mischaikow, Konstantin; Mrozek, Marian
36
1998
Algebraic transition matrices in the Conley index theory. Zbl 0896.58053
Franzosa, Robert; Mischaikow, Konstantin
11
1998
An approach to practical persistence. Zbl 0927.92030
Hutson, V.; Mischaikow, K.
2
1998
Connecting orbit structure of monotone solutions in the shadow system. Zbl 0902.35058
Kokubu, Hiroshi; Mischaikow, Konstantin; Nishiura, Yasumasa; Oka, Hireo; Takaishi, Takeshi
3
1997
On the global dynamics of attractors for scalar delay equations. Zbl 0861.58023
McCord, Christopher; Mischaikow, Konstantin
25
1996
Existence of infinitely many connecting orbits in a singularly perturbed ordinary differential equation. Zbl 0898.34047
Kokubu, Hiroshi; Mischaikow, Konstantin; Oka, Hiroe
4
1996
Singular limits for travelling waves for a pair of equations. Zbl 0852.35066
Hutson, Vivian; Mischaikow, Konstantin
2
1996
Asymptotically autonomous semiflows: Chain recurrence and Lyapunov functions. Zbl 0829.34037
Mischaikow, Konstantin; Smith, Hal; Thieme, Horst R.
116
1995
Chaos in the Lorenz equations: A computer-assisted proof. Zbl 0820.58042
Mischaikow, Konstantin; Mrozek, Marian
105
1995
Isolating neighborhoods and chaos. Zbl 0840.58033
Mischaikow, Konstantin; Mrozek, Marian
37
1995
Limit behaviour for a competing species problem with diffusion. Zbl 0848.35057
Hutson, V.; López-Gómez, J.; Mischaikow, K.; Vickers, G.
36
1995
Global asymptotic dynamics of gradient-like bistable equations. Zbl 0841.35014
Mischaikow, Konstantin
26
1995
Zeta functions, periodic trajectories, and the Conley index. Zbl 0833.34045
McCord, Christopher; Mischaikow, Konstantin; Mrozek, Marian
19
1995
Structure of the global attractor of cyclic feedback systems. Zbl 0823.34057
Gedeon, Tomáš; Mischaikow, Konstantin
17
1995
Conley index theory. Zbl 0847.58062
Mischaikow, Konstantin
16
1995
Equivalence of topological and singular transition matrices in the Conley index theory. Zbl 0853.58080
McCord, Christopher K.; Mischaikow, Konstantin
3
1995
Dynamics on the global attractor of a gradient flow arising from the Ginzburg-Landau equation. Zbl 0807.58029
Mischaikow, Konstantin; Morita, Yoshihisa
7
1994
Dynamics of cyclic feedback systems. Zbl 0848.34031
Gedeon, T.; Mischaikow, K.
4
1994
A product theorem for connection matrices and the structure of connecting orbits. Zbl 0818.34024
Mischaikow, Konstantin; Reineck, James F.
1
1994
...and 19 more Documents
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Cited by 1,959 Authors

62 Mischaikow, Konstantin
48 Lessard, Jean-Philippe
48 Lou, Yuan
47 Li, Wan-Tong
37 Mireles-James, Jason D.
36 Mrozek, Marian
27 Gedeon, Tomáš
27 Sun, Jianwen
27 Wanner, Thomas
24 Shen, Wenxian
24 van den Berg, Jan Bouwe
22 Zgliczyński, Piotr
20 Lam, King-Yeung
19 Gameiro, Marcio F.
19 Shi, Junping
18 Yang, Feiying
18 Zhao, Xiao-Qiang
17 Pilarczyk, Paweł
16 Cosner, Chris
16 Wang, Mingxin
15 Coville, Jerome
15 Du, Yihong
15 Kalies, William D.
15 Ruan, Shigui
15 Wang, Yuanshi
13 Cantrell, Robert Stephen
13 Kaczynski, Tomasz
13 Nanda, Vidit
13 Wu, YiXiang
12 Breden, Maxime
12 Hiraoka, Yasuaki
12 Peng, Rui
12 Rossi, Julio Daniel
11 Girardin, Léo
11 Hafstein, Sigurður Freyr
11 He, Xiaoqing
11 Kokubu, Hiroshi
11 Li, Fang
11 Vandervorst, Robertus C. A. M.
11 Wang, Zhi Cheng
11 Wei, Guowei
10 Ahn, Inkyung
10 Chen, Shanshan
10 Cummins, Bree
10 Ding, Yanheng
10 Giesl, Peter
10 Harker, Shaun
10 Martínez, Salomé
10 Ni, Wei-Ming
10 Zanolin, Fabio
10 Zou, Xingfu
9 Choi, Wonhyung
9 Day, Sarah L.
9 Landi, Claudia
9 Zhang, Jimin
8 Batko, Bogdan
8 Castelli, Roberto
8 Liu, Shuang
8 Ma, Li
8 Sander, Evelyn
8 Tang, De
8 Wilczak, Daniel
8 Wójcik, Klaudiusz
8 Wu, Chufen
7 Allili, Madjid
7 Bai, Xueli
7 Braverman, Elena
7 Bubenik, Peter
7 DeAngelis, Donald L.
7 Fiedler, Bernold
7 Ghrist, Robert W.
7 Hamel, François
7 Kim, Yongjung
7 Lin, Guo
7 Nadin, Grégoire
7 Ni, Wenjie
7 Nolasco de Carvalho, Alexandre
7 Pereira, Marcone Corrêa
7 Romero, Ana
7 Srzednicki, Roman
7 Wang, Jiabing
7 Wang, Yuxia
7 Zhou, Peng
6 Arioli, Gianni
6 Berestycki, Henri
6 Capinski, Maciej J.
6 Cyranka, Jacek
6 Dai, Binxiang
6 Dłotko, Paweł
6 Galias, Zbigniew
6 Gidea, Marian
6 Guo, Shangjiang
6 Jaquette, Jonathan
6 Kamrujjaman, Md.
6 Kepley, Shane
6 Kramár, Miroslav
6 Langa, Jose’ Antonio
6 Li, Desheng
6 López-Gómez, Julián
6 Lutscher, Frithjof
...and 1,859 more Authors
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Cited in 269 Serials

175 Journal of Differential Equations
69 Discrete and Continuous Dynamical Systems. Series B
57 Journal of Dynamics and Differential Equations
56 Journal of Mathematical Biology
56 SIAM Journal on Applied Dynamical Systems
52 Journal of Mathematical Analysis and Applications
40 Nonlinear Analysis. Real World Applications
34 Discrete and Continuous Dynamical Systems
32 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
29 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
28 Physica D
27 Communications in Nonlinear Science and Numerical Simulation
26 Bulletin of Mathematical Biology
24 Topology and its Applications
23 Applied Mathematics and Computation
23 Foundations of Computational Mathematics
22 Mathematical Methods in the Applied Sciences
22 ZAMP. Zeitschrift für angewandte Mathematik und Physik
20 Calculus of Variations and Partial Differential Equations
20 Chaos
19 Nonlinearity
18 Journal of Applied and Computational Topology
17 Computers & Mathematics with Applications
17 Chaos, Solitons and Fractals
17 Discrete & Computational Geometry
16 Journal of Computational Dynamics
15 Transactions of the American Mathematical Society
14 Proceedings of the American Mathematical Society
14 Japan Journal of Industrial and Applied Mathematics
14 Journal of Biological Dynamics
13 Communications on Pure and Applied Analysis
13 Journal of Theoretical Biology
12 Applied Mathematics Letters
12 Abstract and Applied Analysis
11 Mathematical Biosciences
11 SIAM Journal on Mathematical Analysis
10 Journal de Mathématiques Pures et Appliquées. Neuvième Série
9 Applicable Analysis
9 Archive for Rational Mechanics and Analysis
9 Journal of Computational and Applied Mathematics
9 Journal of Functional Analysis
9 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
9 Journal of Nonlinear Science
8 Theoretical Population Biology
8 Computational Geometry
8 SIAM Journal on Applied Mathematics
8 Nonlinear Analysis. Theory, Methods & Applications
8 Foundations of Data Science
7 Acta Applicandae Mathematicae
7 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
7 Journal of Symbolic Computation
7 Journal of Difference Equations and Applications
7 Journal of Fixed Point Theory and Applications
6 Mathematics of Computation
6 European Journal of Applied Mathematics
6 Indagationes Mathematicae. New Series
6 Applicable Algebra in Engineering, Communication and Computing
6 Journal of Mathematical Imaging and Vision
6 Advances in Difference Equations
6 Mathematical Biosciences and Engineering
6 International Journal of Biomathematics
6 Science China. Mathematics
5 Mathematische Nachrichten
5 Ergodic Theory and Dynamical Systems
5 Applied Numerical Mathematics
5 Communications in Partial Differential Equations
5 Topological Methods in Nonlinear Analysis
5 NoDEA. Nonlinear Differential Equations and Applications
5 Nonlinear Dynamics
5 Mathematical Modelling of Natural Phenomena
5 Discrete and Continuous Dynamical Systems. Series S
5 SIAM Journal on Applied Algebra and Geometry
4 Communications in Mathematical Physics
4 Rocky Mountain Journal of Mathematics
4 Annali di Matematica Pura ed Applicata. Serie Quarta
4 Journal of Pure and Applied Algebra
4 Mathematics and Computers in Simulation
4 Systems & Control Letters
4 The Annals of Applied Probability
4 Taiwanese Journal of Mathematics
4 Qualitative Theory of Dynamical Systems
4 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
4 Journal of Machine Learning Research (JMLR)
4 Journal of Applied Analysis and Computation
4 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
3 Physica A
3 Mathematische Annalen
3 Mathematische Zeitschrift
3 Numerical Functional Analysis and Optimization
3 Numerische Mathematik
3 Theoretical Computer Science
3 Asymptotic Analysis
3 Applied Mathematical Modelling
3 Pattern Recognition
3 Proceedings of the National Academy of Sciences of the United States of America
3 Celestial Mechanics and Dynamical Astronomy
3 Electronic Journal of Differential Equations (EJDE)
3 Communications in Contemporary Mathematics
3 Differential Equations
3 Algebraic & Geometric Topology
...and 169 more Serials
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Cited in 53 Fields

705 Partial differential equations (35-XX)
651 Biology and other natural sciences (92-XX)
544 Dynamical systems and ergodic theory (37-XX)
318 Ordinary differential equations (34-XX)
186 Algebraic topology (55-XX)
178 Numerical analysis (65-XX)
103 Computer science (68-XX)
92 Integral equations (45-XX)
81 Operator theory (47-XX)
61 Manifolds and cell complexes (57-XX)
49 Probability theory and stochastic processes (60-XX)
46 Statistics (62-XX)
45 Global analysis, analysis on manifolds (58-XX)
44 Systems theory; control (93-XX)
37 Mechanics of particles and systems (70-XX)
35 Combinatorics (05-XX)
35 General topology (54-XX)
27 Fluid mechanics (76-XX)
24 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
23 Mechanics of deformable solids (74-XX)
22 Category theory; homological algebra (18-XX)
22 Difference and functional equations (39-XX)
22 Statistical mechanics, structure of matter (82-XX)
19 Calculus of variations and optimal control; optimization (49-XX)
14 Order, lattices, ordered algebraic structures (06-XX)
13 Differential geometry (53-XX)
12 Convex and discrete geometry (52-XX)
12 Operations research, mathematical programming (90-XX)
11 Quantum theory (81-XX)
10 Information and communication theory, circuits (94-XX)
9 Functional analysis (46-XX)
8 Classical thermodynamics, heat transfer (80-XX)
7 Approximations and expansions (41-XX)
6 Mathematical logic and foundations (03-XX)
6 Algebraic geometry (14-XX)
6 Linear and multilinear algebra; matrix theory (15-XX)
6 Relativity and gravitational theory (83-XX)
5 Commutative algebra (13-XX)
5 Real functions (26-XX)
5 Harmonic analysis on Euclidean spaces (42-XX)
5 Optics, electromagnetic theory (78-XX)
4 Associative rings and algebras (16-XX)
4 Group theory and generalizations (20-XX)
3 Geophysics (86-XX)
2 General and overarching topics; collections (00-XX)
2 Number theory (11-XX)
2 Integral transforms, operational calculus (44-XX)
1 History and biography (01-XX)
1 Field theory and polynomials (12-XX)
1 Several complex variables and analytic spaces (32-XX)
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