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Journal of Computational Dynamics

Short Title: J. Comput. Dyn.
Publisher: American Institute of Mathematical Sciences (AIMS), Springfield, MO
ISSN: 2158-2491; 2158-2505/e
Online: http://aimsciences.org/journals/home.jsp?journalID=24
http://aimsciences.org/journals/contentsListnew.jsp?pubID=679
Comments: Indexed cover-to-cover
Documents Indexed: 109 Publications (since 2014)
References Indexed: 102 Publications with 3,426 References.
all top 5

Authors

4 Kevrekidis, Ioannis George
4 Krauskopf, Bernd
4 McLachlan, Robert I.
4 Schütte, Christof
3 Froyland, Gary
3 Junge, Oliver
3 Lessard, Jean-Philippe
3 Mischaikow, Konstantin
3 Osinga, Hinke Maria
3 Rowley, Clarence W.
3 van den Berg, Jan Bouwe
2 Baier, Robert
2 Brunton, Steven L.
2 Celledoni, Elena
2 Dellnitz, Michael
2 Djurdjevac Conrad, Natasa
2 Giesl, Peter
2 González-Tokman, Cecilia
2 Grüne, Lars
2 Hamzi, Boumediene
2 Hartmann, Carsten
2 Hessel-von Molo, Mirko
2 Kassotakis, Pavlos G.
2 Klus, Stefan
2 Koltai, Péter
2 Kutz, J. Nathan
2 Laing, Carlo R.
2 McLaren, David I.
2 Mireles-James, Jason D.
2 Mrozek, Marian
2 Padberg-Gehle, Kathrin
2 Pavliotis, Grigorios A.
2 Quispel, Gilles Reinout Willem
2 Reich, Sebastian
2 Tu, Jonathan H.
2 van der Kamp, Peter H.
2 Wanner, Thomas
1 Aguirre, Pablo
1 Alfatlawi, Mustaffa
1 Alvarez, Amaury Cruz
1 Armbruster, Dieter
1 Avitabile, Daniele
1 Bader, Philipp
1 Baghaie, Ahmadreza
1 Bakhshinejad, Ali
1 Balashov, Vladislav
1 Balasuriya, Sanjeeva
1 Balázs, István
1 Banisch, Ralf
1 Bartha, Ferenc A.
1 Bauer, Werner
1 Belova, Anna
1 Benner, Peter
1 Benning, Martin
1 Beyn, Wolf-Jürgen
1 Bihlo, Alex
1 Birrell, Jeremiah
1 Blachut, Chantelle
1 Blanes, Sergio
1 Bläsche, Christian
1 Bogfjellmo, Geir
1 Bold, Katherine A.
1 Bouvrie, Jake
1 Breden, Maxime
1 Breiten, Tobias
1 Bruckner, Sharon
1 Caccia, Gianluca Frasca
1 Caracciolo, Chiara
1 Casas, Fernando
1 Cattafesta, Louis N. III
1 Chapiro, Grigori
1 Christodoulidi, Helen
1 Colombo, Leonardo Jesus
1 Condon, Marissa
1 Conrad, Tim O. F.
1 Coombes, Stephen
1 Courtois, Julien
1 Curry, Charles
1 Dawson, Scott T. M.
1 de Figueiredo, Luiz Henrique
1 de Oliveira, João Batista S.
1 Deem, Eric A.
1 Denner, Andreas
1 DeVille, Lee
1 D’Souza, Roshan M.
1 Dudás, János
1 Duncan, Andrew B.
1 Ehrhardt, Matthias Joachim
1 Elamvazhuthi, Karthik
1 Evangelista-Alvarado, Miguel Ángel
1 Evripidou, Charalampos A.
1 Falcolini, Corrado
1 Farazmand, Mohammad
1 Fathi, Mojtaba F.
1 Ferry, Steven C.
1 Flaßkamp, Kathrin
1 Freitag, Melina A.
1 Galatolo, Stefano
1 Garab, Ábel
1 García-Naranjo, Luis C.
...and 139 more Authors

Publications by Year

Citations contained in zbMATH Open

60 Publications have been cited 381 times in 305 Documents Cited by Year
On dynamic mode decomposition: theory and applications. Zbl 1346.37064
Tu, Jonathan H.; Rowley, Clarence W.; Luchtenburg, Dirk M.; Brunton, Steven L.; Kutz, J. Nathan
109
2014
On the numerical approximation of the Perron-Frobenius and Koopman operator. Zbl 1353.37154
Schütte, Christof; Koltai, Péter; Klus, Stefan
35
2016
A kernel-based method for data-driven Koopman spectral analysis. Zbl 1366.37144
Kevrekidis, Ioannis G.; Rowley, Clarence W.; Williams, Matthew O.
34
2015
Compressed sensing and dynamic mode decomposition. Zbl 1347.94012
Kutz, J. Nathan; Tu, Jonathan H.; Proctor, Joshua L.; Brunton, Steven L.
18
2015
Attraction-based computation of hyperbolic Lagrangian coherent structures. Zbl 1353.37161
Karrasch, Daniel; Farazmand, Mohammad; Haller, George
13
2015
On the computation of attractors for delay differential equations. Zbl 1358.34081
Ziessler, Adrian; Hessel-Von Molo, Mirko; Dellnitz, Michael
11
2016
Computing coherent sets using the Fokker-Planck equation. Zbl 1369.37084
Denner, Andreas; Junge, Oliver; Matthes, Daniel
11
2016
Detecting isolated spectrum of transfer and Koopman operators with Fourier analytic tools. Zbl 1346.37066
Froyland, Gary; González-Tokman, Cecilia; Quas, Anthony
10
2014
Parameterization method for unstable manifolds of delay differential equations. Zbl 1397.34123
Groothedde, C. M.; Mireles James, J. D.
9
2017
Lattice structures for attractors. I. Zbl 1346.37013
Kalies, William D.; Mischaikow, Konstantin; Vandervorst, Robert C. A. M.
8
2014
Rigorous continuation of bifurcation points in the diblock copolymer equation. Zbl 1404.35030
Lessard, Jean-Philippe; Sander, Evelyn; Wanner, Thomas
7
2017
An elementary way to rigorously estimate convergence to equilibrium and escape rates. Zbl 1353.37157
Galatolo, Stefano; Nisoli, Isaia; Saussol, Benoît
6
2015
Necessary and sufficient condition for the global stability of a delayed discrete-time single neuron model. Zbl 1308.39014
Bartha, Ferenc A.; Garab, Ábel
6
2014
Towards tensor-based methods for the numerical approximation of the Perron-Frobenius and Koopman operator. Zbl 1369.37080
Klus, Stefan; Schütte, Christof
6
2016
Global invariant manifolds near a Shilnikov homoclinic bifurcation. Zbl 1309.34077
Aguirre, Pablo; Krauskopf, Bernd; Osinga, Hinke M.
6
2014
Computer-assisted proofs for radially symmetric solutions of PDEs. Zbl 1409.35017
Balázs, István; van den Berg, Jan Bouwe; Courtois, Julien; Dudás, János; Lessard, Jean-Philippe; Vörös-Kiss, Anett; Williams, J. F.; Yin, Xi Yuan
5
2018
Steady state bifurcations for the Kuramoto-Sivashinsky equation: a computer assisted proof. Zbl 1326.35029
Zgliczyński, Piotr
5
2015
Optimal control of multiscale systems using reduced-order models. Zbl 1303.93187
Hartmann, Carsten; Latorre, Juan C.; Zhang, Wei; Pavliotis, Grigorios A.
5
2014
Asymptotic invariance and the discretisation of nonautonomous forward attracting sets. Zbl 1366.34082
Kloeden, Peter E.
5
2016
Mori-Zwanzig reduced models for uncertainty quantification. Zbl 07100319
Li, Jing; Stinis, Panos
4
2019
Modularity revisited: a novel dynamics-based concept for decomposing complex networks. Zbl 1348.60070
Sarich, Marco; Djurdjevac Conrad, Natasa; Bruckner, Sharon; Conrad, Tim O. F.; Schütte, Christof
4
2014
Discretization strategies for computing Conley indices and Morse decompositions of flows. Zbl 1373.37043
Weilandt, Frank; Mrozek, Marian; Mischaikow, Konstantin
3
2016
Towards a formal tie between combinatorial and classical vector field dynamics. Zbl 1353.37096
Wanner, Thomas; Mrozek, Marian; Kaczynski, Tomasz
3
2016
Discrete gradients for computational Bayesian inference. Zbl 1437.62110
Pathiraja, Sahani; Reich, Sebastian
3
2019
Geometry of the Kahan discretizations of planar quadratic Hamiltonian systems. II: Systems with a linear Poisson tensor. Zbl 1457.37085
Petrera, Matteo; Suris, Yuri B.
3
2019
Reconstructing functions from random samples. Zbl 1330.55017
Ferry, Steve; Mischaikow, Konstantin; Nanda, Vidit
3
2014
The computation of convex invariant sets via Newton’s method. Zbl 1306.65207
Baier, R.; Dellnitz, M.; Hessel-von Molo, M.; Sertl, S.; Kevrekidis, I. G.
3
2014
An energy dissipative semi-discrete finite-difference method on staggered meshes for the 3D compressible isothermal Navier-Stokes-Cahn-Hilliard equations. Zbl 1446.65060
Balashov, Vladislav; Zlotnik, Alexander
3
2020
Kernel methods for the approximation of some key quantities of nonlinear systems. Zbl 1394.37115
Bouvrie, Jake; Hamzi, Boumediene
2
2017
A Lin’s method approach for detecting all canard orbits arising from a folded node. Zbl 1397.34096
Mujica, José; Krauskopf, Bernd; Osinga, Hinke M.
2
2017
Variational integrators for mechanical control systems with symmetries. Zbl 1397.70024
Colombo, Leonardo; Jiménez, Fernando; Martín de Diego, David
2
2015
Towards a geometric variational discretization of compressible fluids: the rotating shallow water equations. Zbl 1421.76189
Bauer, Werner; Gay-Balmaz, François
2
2019
Numerical efficacy study of data assimilation for the 2D magnetohydrodynamic equations. Zbl 07100323
Hudson, Joshua; Jolly, Michael
2
2019
Deep learning as optimal control problems: models and numerical methods. Zbl 1429.68249
Benning, Martin; Celledoni, Elena; Ehrhardt, Matthias J.; Owren, Brynjulf; Schönlieb, Carola-Bibiane
2
2019
Symmetry exploiting control of hybrid mechanical systems. Zbl 1353.37172
Flasskamp, Kathrin; Hage-Packhäuser, Sebastian; Ober-Blöbaum, Sina
2
2015
Optimizing the stable behavior of parameter-dependent dynamical systems – maximal domains of attraction, minimal absorption times. Zbl 1311.34127
Koltai, Péter; Volf, Alexander
2
2014
Determination of the basin of attraction of a periodic orbit in two dimensions using meshless collocation. Zbl 1369.37027
Giesl, Peter; McMichen, James
2
2016
An equation-free approach to coarse-graining the dynamics of networks. Zbl 1317.68257
Bold, Katherine A.; Rajendran, Karthikeyan; Ráth, Balász; Kevrekidis, Ioannis G.
2
2014
Computer-assisted estimates for Birkhoff normal forms. Zbl 1464.37062
Caracciolo, Chiara; Locatelli, Ugo
2
2020
Rigorous enclosures of rotation numbers by interval methods. Zbl 1353.37171
Belova, Anna
1
2016
Set-oriented numerical computation of rotation sets. Zbl 1410.65482
Polotzek, Katja; Padberg-Gehle, Kathrin; Jäger, Tobias
1
2017
Optimal transport over nonlinear systems via infinitesimal generators on graphs. Zbl 1427.82039
Elamvazhuthi, Karthik; Grover, Piyush
1
2018
Balanced model order reduction for linear random dynamical systems driven by Lévy noise. Zbl 1407.93081
Redmann, Martin; Freitag, Melina A.
1
2018
The Lie algebra of classical mechanics. Zbl 1431.17004
McLachlan, Robert I.; Murua, Ander
1
2019
Integrable reductions of the dressing chain. Zbl 1440.53090
Evripidou, Charalampos; Kassotakis, Pavlos; Vanhaecke, Pol
1
2019
Locally conservative finite difference schemes for the modified KdV equation. Zbl 1436.65100
Frasca-Caccia, Gianluca; Hydon, Peter E.
1
2019
Re-factorising a QRT map. Zbl 1434.37039
Joshi, Nalini; Kassotakis, Pavlos
1
2019
Efficient time integration methods for Gross-Pitaevskii equations with rotation term. Zbl 1434.35175
Bader, Philipp; Blanes, Sergio; Casas, Fernando; Thalhammer, Mechthild
1
2019
Strange attractors in a predator-prey system with non-monotonic response function and periodic perturbation. Zbl 1434.37052
Tuwankotta, Johan Matheus; Harjanto, Eric
1
2019
A new class of integrable Lotka-Volterra systems. Zbl 1434.37036
Christodoulidi, Helen; Hone, Andrew N. W.; Kouloukas, Theodoros E.
1
2019
Solving the wave equation with multifrequency oscillations. Zbl 1434.65200
Condon, Marissa; Iserles, Arieh; Kropielnicka, Karolina; Singh, Pranav
1
2019
Modularity of directed networks: cycle decomposition approach. Zbl 1346.60144
Schütte, Christof; Banisch, Ralf; Djurdjevac Conrad, Nataša
1
2015
Polynomial chaos based uncertainty quantification in Hamiltonian, multi-time scale, and chaotic systems. Zbl 1311.34132
Pasini, José Miguel; Sahai, Tuhin
1
2014
Continuation and collapse of homoclinic tangles. Zbl 1320.37036
Beyn, Wolf-Jürgen; Hüls, Thorsten
1
2014
Global optimal feedbacks for stochastic quantized nonlinear event systems. Zbl 1302.93242
Jerg, Stefan; Junge, Oliver; Post, Marcus
1
2014
Evaluating the accuracy of the dynamic mode decomposition. Zbl 1448.37103
Zhang, Hao; Dawson, Scott T. M.; Rowley, Clarence W.; Deem, Eric A.; Cattafesta, Louis N.
1
2020
Geometrical properties of the mean-median map. Zbl 1448.37024
Hoseana, Jonathan; Vivaldi, Franco
1
2020
A functional analytic approach to validated numerics for eigenvalues of delay equations. Zbl 07235863
Lessard, J. P.; Mireles James, J. D.
1
2020
Uncertainty in finite-time Lyapunov exponent computations. Zbl 1450.37077
Balasuriya, Sanjeeva
1
2020
A tale of two vortices: how numerical ergodic theory and transfer operators reveal fundamental changes to coherent structures in non-autonomous dynamical systems. Zbl 1453.37076
Blachut, Chantelle; González-Tokman, Cecilia
1
2020
An energy dissipative semi-discrete finite-difference method on staggered meshes for the 3D compressible isothermal Navier-Stokes-Cahn-Hilliard equations. Zbl 1446.65060
Balashov, Vladislav; Zlotnik, Alexander
3
2020
Computer-assisted estimates for Birkhoff normal forms. Zbl 1464.37062
Caracciolo, Chiara; Locatelli, Ugo
2
2020
Evaluating the accuracy of the dynamic mode decomposition. Zbl 1448.37103
Zhang, Hao; Dawson, Scott T. M.; Rowley, Clarence W.; Deem, Eric A.; Cattafesta, Louis N.
1
2020
Geometrical properties of the mean-median map. Zbl 1448.37024
Hoseana, Jonathan; Vivaldi, Franco
1
2020
A functional analytic approach to validated numerics for eigenvalues of delay equations. Zbl 07235863
Lessard, J. P.; Mireles James, J. D.
1
2020
Uncertainty in finite-time Lyapunov exponent computations. Zbl 1450.37077
Balasuriya, Sanjeeva
1
2020
A tale of two vortices: how numerical ergodic theory and transfer operators reveal fundamental changes to coherent structures in non-autonomous dynamical systems. Zbl 1453.37076
Blachut, Chantelle; González-Tokman, Cecilia
1
2020
Mori-Zwanzig reduced models for uncertainty quantification. Zbl 07100319
Li, Jing; Stinis, Panos
4
2019
Discrete gradients for computational Bayesian inference. Zbl 1437.62110
Pathiraja, Sahani; Reich, Sebastian
3
2019
Geometry of the Kahan discretizations of planar quadratic Hamiltonian systems. II: Systems with a linear Poisson tensor. Zbl 1457.37085
Petrera, Matteo; Suris, Yuri B.
3
2019
Towards a geometric variational discretization of compressible fluids: the rotating shallow water equations. Zbl 1421.76189
Bauer, Werner; Gay-Balmaz, François
2
2019
Numerical efficacy study of data assimilation for the 2D magnetohydrodynamic equations. Zbl 07100323
Hudson, Joshua; Jolly, Michael
2
2019
Deep learning as optimal control problems: models and numerical methods. Zbl 1429.68249
Benning, Martin; Celledoni, Elena; Ehrhardt, Matthias J.; Owren, Brynjulf; Schönlieb, Carola-Bibiane
2
2019
The Lie algebra of classical mechanics. Zbl 1431.17004
McLachlan, Robert I.; Murua, Ander
1
2019
Integrable reductions of the dressing chain. Zbl 1440.53090
Evripidou, Charalampos; Kassotakis, Pavlos; Vanhaecke, Pol
1
2019
Locally conservative finite difference schemes for the modified KdV equation. Zbl 1436.65100
Frasca-Caccia, Gianluca; Hydon, Peter E.
1
2019
Re-factorising a QRT map. Zbl 1434.37039
Joshi, Nalini; Kassotakis, Pavlos
1
2019
Efficient time integration methods for Gross-Pitaevskii equations with rotation term. Zbl 1434.35175
Bader, Philipp; Blanes, Sergio; Casas, Fernando; Thalhammer, Mechthild
1
2019
Strange attractors in a predator-prey system with non-monotonic response function and periodic perturbation. Zbl 1434.37052
Tuwankotta, Johan Matheus; Harjanto, Eric
1
2019
A new class of integrable Lotka-Volterra systems. Zbl 1434.37036
Christodoulidi, Helen; Hone, Andrew N. W.; Kouloukas, Theodoros E.
1
2019
Solving the wave equation with multifrequency oscillations. Zbl 1434.65200
Condon, Marissa; Iserles, Arieh; Kropielnicka, Karolina; Singh, Pranav
1
2019
Computer-assisted proofs for radially symmetric solutions of PDEs. Zbl 1409.35017
Balázs, István; van den Berg, Jan Bouwe; Courtois, Julien; Dudás, János; Lessard, Jean-Philippe; Vörös-Kiss, Anett; Williams, J. F.; Yin, Xi Yuan
5
2018
Optimal transport over nonlinear systems via infinitesimal generators on graphs. Zbl 1427.82039
Elamvazhuthi, Karthik; Grover, Piyush
1
2018
Balanced model order reduction for linear random dynamical systems driven by Lévy noise. Zbl 1407.93081
Redmann, Martin; Freitag, Melina A.
1
2018
Parameterization method for unstable manifolds of delay differential equations. Zbl 1397.34123
Groothedde, C. M.; Mireles James, J. D.
9
2017
Rigorous continuation of bifurcation points in the diblock copolymer equation. Zbl 1404.35030
Lessard, Jean-Philippe; Sander, Evelyn; Wanner, Thomas
7
2017
Kernel methods for the approximation of some key quantities of nonlinear systems. Zbl 1394.37115
Bouvrie, Jake; Hamzi, Boumediene
2
2017
A Lin’s method approach for detecting all canard orbits arising from a folded node. Zbl 1397.34096
Mujica, José; Krauskopf, Bernd; Osinga, Hinke M.
2
2017
Set-oriented numerical computation of rotation sets. Zbl 1410.65482
Polotzek, Katja; Padberg-Gehle, Kathrin; Jäger, Tobias
1
2017
On the numerical approximation of the Perron-Frobenius and Koopman operator. Zbl 1353.37154
Schütte, Christof; Koltai, Péter; Klus, Stefan
35
2016
On the computation of attractors for delay differential equations. Zbl 1358.34081
Ziessler, Adrian; Hessel-Von Molo, Mirko; Dellnitz, Michael
11
2016
Computing coherent sets using the Fokker-Planck equation. Zbl 1369.37084
Denner, Andreas; Junge, Oliver; Matthes, Daniel
11
2016
Towards tensor-based methods for the numerical approximation of the Perron-Frobenius and Koopman operator. Zbl 1369.37080
Klus, Stefan; Schütte, Christof
6
2016
Asymptotic invariance and the discretisation of nonautonomous forward attracting sets. Zbl 1366.34082
Kloeden, Peter E.
5
2016
Discretization strategies for computing Conley indices and Morse decompositions of flows. Zbl 1373.37043
Weilandt, Frank; Mrozek, Marian; Mischaikow, Konstantin
3
2016
Towards a formal tie between combinatorial and classical vector field dynamics. Zbl 1353.37096
Wanner, Thomas; Mrozek, Marian; Kaczynski, Tomasz
3
2016
Determination of the basin of attraction of a periodic orbit in two dimensions using meshless collocation. Zbl 1369.37027
Giesl, Peter; McMichen, James
2
2016
Rigorous enclosures of rotation numbers by interval methods. Zbl 1353.37171
Belova, Anna
1
2016
A kernel-based method for data-driven Koopman spectral analysis. Zbl 1366.37144
Kevrekidis, Ioannis G.; Rowley, Clarence W.; Williams, Matthew O.
34
2015
Compressed sensing and dynamic mode decomposition. Zbl 1347.94012
Kutz, J. Nathan; Tu, Jonathan H.; Proctor, Joshua L.; Brunton, Steven L.
18
2015
Attraction-based computation of hyperbolic Lagrangian coherent structures. Zbl 1353.37161
Karrasch, Daniel; Farazmand, Mohammad; Haller, George
13
2015
An elementary way to rigorously estimate convergence to equilibrium and escape rates. Zbl 1353.37157
Galatolo, Stefano; Nisoli, Isaia; Saussol, Benoît
6
2015
Steady state bifurcations for the Kuramoto-Sivashinsky equation: a computer assisted proof. Zbl 1326.35029
Zgliczyński, Piotr
5
2015
Variational integrators for mechanical control systems with symmetries. Zbl 1397.70024
Colombo, Leonardo; Jiménez, Fernando; Martín de Diego, David
2
2015
Symmetry exploiting control of hybrid mechanical systems. Zbl 1353.37172
Flasskamp, Kathrin; Hage-Packhäuser, Sebastian; Ober-Blöbaum, Sina
2
2015
Modularity of directed networks: cycle decomposition approach. Zbl 1346.60144
Schütte, Christof; Banisch, Ralf; Djurdjevac Conrad, Nataša
1
2015
On dynamic mode decomposition: theory and applications. Zbl 1346.37064
Tu, Jonathan H.; Rowley, Clarence W.; Luchtenburg, Dirk M.; Brunton, Steven L.; Kutz, J. Nathan
109
2014
Detecting isolated spectrum of transfer and Koopman operators with Fourier analytic tools. Zbl 1346.37066
Froyland, Gary; González-Tokman, Cecilia; Quas, Anthony
10
2014
Lattice structures for attractors. I. Zbl 1346.37013
Kalies, William D.; Mischaikow, Konstantin; Vandervorst, Robert C. A. M.
8
2014
Necessary and sufficient condition for the global stability of a delayed discrete-time single neuron model. Zbl 1308.39014
Bartha, Ferenc A.; Garab, Ábel
6
2014
Global invariant manifolds near a Shilnikov homoclinic bifurcation. Zbl 1309.34077
Aguirre, Pablo; Krauskopf, Bernd; Osinga, Hinke M.
6
2014
Optimal control of multiscale systems using reduced-order models. Zbl 1303.93187
Hartmann, Carsten; Latorre, Juan C.; Zhang, Wei; Pavliotis, Grigorios A.
5
2014
Modularity revisited: a novel dynamics-based concept for decomposing complex networks. Zbl 1348.60070
Sarich, Marco; Djurdjevac Conrad, Natasa; Bruckner, Sharon; Conrad, Tim O. F.; Schütte, Christof
4
2014
Reconstructing functions from random samples. Zbl 1330.55017
Ferry, Steve; Mischaikow, Konstantin; Nanda, Vidit
3
2014
The computation of convex invariant sets via Newton’s method. Zbl 1306.65207
Baier, R.; Dellnitz, M.; Hessel-von Molo, M.; Sertl, S.; Kevrekidis, I. G.
3
2014
Optimizing the stable behavior of parameter-dependent dynamical systems – maximal domains of attraction, minimal absorption times. Zbl 1311.34127
Koltai, Péter; Volf, Alexander
2
2014
An equation-free approach to coarse-graining the dynamics of networks. Zbl 1317.68257
Bold, Katherine A.; Rajendran, Karthikeyan; Ráth, Balász; Kevrekidis, Ioannis G.
2
2014
Polynomial chaos based uncertainty quantification in Hamiltonian, multi-time scale, and chaotic systems. Zbl 1311.34132
Pasini, José Miguel; Sahai, Tuhin
1
2014
Continuation and collapse of homoclinic tangles. Zbl 1320.37036
Beyn, Wolf-Jürgen; Hüls, Thorsten
1
2014
Global optimal feedbacks for stochastic quantized nonlinear event systems. Zbl 1302.93242
Jerg, Stefan; Junge, Oliver; Post, Marcus
1
2014
all top 5

Cited by 513 Authors

20 Kutz, J. Nathan
18 Brunton, Steven L.
13 Koltai, Péter
12 Schütte, Christof
11 Froyland, Gary
11 Klus, Stefan
9 Mezić, Igor
8 Kevrekidis, Ioannis George
7 Mireles-James, Jason D.
7 Peherstorfer, Benjamin
6 Lessard, Jean-Philippe
6 Mischaikow, Konstantin
6 Osinga, Hinke Maria
6 Rowley, Clarence W.
5 Alla, Alessandro
5 Balasuriya, Sanjeeva
5 Banisch, Ralf
5 Galatolo, Stefano
5 Giannakis, Dimitrios
5 Haller, George
5 Kloeden, Peter Eris
5 Krauskopf, Bernd
5 Mrozek, Marian
5 Willcox, Karen E.
4 Bollt, Erik M.
4 Das, Suddhasattwa
4 Dellnitz, Michael
4 Duraisamy, Karthik
4 González-Tokman, Cecilia
4 Kaiser, Eurika
4 Karrasch, Daniel
4 Peitz, Sebastian
4 Proctor, Joshua L.
4 van den Berg, Jan Bouwe
4 Wanner, Thomas
4 Weber, Marcus
4 Ziessler, Adrian
3 Batko, Bogdan
3 Bittracher, Andreas
3 Brunton, Bingni W.
3 Chekroun, Mickaël D.
3 Cui, Hongyong
3 Dietrich, Felix
3 Drmač, Zlatko
3 Gerlach, Raphael
3 Giesl, Peter
3 Junge, Oliver
3 Kalies, William D.
3 Karasözen, Bülent
3 Le Clainche, Soledad
3 Loiseau, Jean-Christophe
3 Mauroy, Alexandre
3 Mohr, Ryan
3 Nisoli, Isaia
3 Noé, Frank
3 Page, Jacob
3 Pan, Shaowu
3 Vega, José Manuel
2 Aguirre, Pablo
2 Antown, Fadi
2 Bahsoun, Wael
2 Baier, Robert
2 Bandtlow, Oscar F.
2 Caracciolo, Chiara
2 Cattafesta, Louis N. III
2 Chappell, David J.
2 Črnjarić-Žic, Nelida
2 Deem, Eric A.
2 Dijkstra, Henk A.
2 Djurdjevac Conrad, Natasa
2 Dudás, János
2 Farazmand, Mohammad
2 Farkhi, Elza M.
2 Flaßkamp, Kathrin
2 Garbuno-Inigo, Alfredo
2 García-Azpeitia, Carlos
2 Gay-Balmaz, François
2 Gottwald, Georg A.
2 Grover, Piyush
2 Gunaratne, Gemunu H.
2 Gunzburger, Max D.
2 Hadjighasem, Alireza
2 Hamzi, Boumediene
2 Harker, Shaun
2 Hartmann, Carsten
2 Hirsh, Seth M.
2 Jayaraman, Balaji
2 Jiménez López, Víctor
2 Just, Wolfram
2 Kasti, Dinesh
2 Kerswell, Richard Rodney
2 Korda, Milan
2 Krämer, Boris
2 Krumscheid, Sebastian
2 Li, Qianxiao
2 Liz, Eduardo
2 Locatelli, Ugo
2 Lucarini, Valerio
2 Maćešić, Senka
2 Maclean, John
...and 413 more Authors
all top 5

Cited in 81 Journals

45 SIAM Journal on Applied Dynamical Systems
23 Journal of Computational Dynamics
18 Journal of Fluid Mechanics
18 Chaos
17 Journal of Nonlinear Science
13 SIAM Journal on Scientific Computing
12 Nonlinearity
7 Journal of Computational Physics
6 Journal of Statistical Physics
5 Physica D
5 Applied and Computational Harmonic Analysis
5 Advances in Computational Mathematics
5 Communications in Nonlinear Science and Numerical Simulation
5 Discrete and Continuous Dynamical Systems. Series B
5 Multiscale Modeling & Simulation
4 Automatica
4 Journal of Differential Equations
4 SIAM Review
4 Discrete and Continuous Dynamical Systems. Series S
3 Computer Methods in Applied Mechanics and Engineering
3 Journal of Scientific Computing
3 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
2 Computers and Fluids
2 Computers & Mathematics with Applications
2 Journal of Computational and Applied Mathematics
2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
2 SIAM Journal on Numerical Analysis
2 MCSS. Mathematics of Control, Signals, and Systems
2 SIAM Journal on Mathematical Analysis
2 Celestial Mechanics and Dynamical Astronomy
2 Indagationes Mathematicae. New Series
2 Journal of Difference Equations and Applications
2 Discrete and Continuous Dynamical Systems
2 European Journal of Mechanics. B. Fluids
2 Foundations of Computational Mathematics
2 Mediterranean Journal of Mathematics
2 SIAM/ASA Journal on Uncertainty Quantification
2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
1 Communications in Mathematical Physics
1 Communications on Pure and Applied Mathematics
1 Journal of Mathematical Analysis and Applications
1 Applied Mathematics and Computation
1 Mathematische Zeitschrift
1 SIAM Journal on Control and Optimization
1 Ergodic Theory and Dynamical Systems
1 Probability Theory and Related Fields
1 Applied Mathematics Letters
1 Neural Networks
1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
1 Numerical Algorithms
1 Linear Algebra and its Applications
1 SIAM Journal on Applied Mathematics
1 Journal of Dynamics and Differential Equations
1 International Journal of Robust and Nonlinear Control
1 Journal of Mathematical Imaging and Vision
1 Complexity
1 Mathematics and Mechanics of Solids
1 Differential Equations and Dynamical Systems
1 Nonlinear Dynamics
1 Mathematical Physics, Analysis and Geometry
1 Computational Geosciences
1 Qualitative Theory of Dynamical Systems
1 Quantitative Finance
1 Matematicheskoe Modelirovanie
1 Journal of Machine Learning Research (JMLR)
1 Journal of Statistical Mechanics: Theory and Experiment
1 Mathematical Biosciences and Engineering
1 Journal of Industrial and Management Optimization
1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
1 Networks and Heterogeneous Media
1 São Paulo Journal of Mathematical Sciences
1 Journal of Geometric Mechanics
1 The Journal of Mathematical Neuroscience
1 Mathematical Control and Related Fields
1 Journal of Mathematics in Industry
1 Mathematics
1 European Journal of Mathematics
1 Bollettino dell’Unione Matematica Italiana
1 SIAM Journal on Applied Algebra and Geometry
1 Journal of Applied and Computational Topology
1 Results in Applied Mathematics
all top 5

Cited in 44 Fields

175 Dynamical systems and ergodic theory (37-XX)
106 Numerical analysis (65-XX)
49 Fluid mechanics (76-XX)
39 Partial differential equations (35-XX)
37 Ordinary differential equations (34-XX)
31 Systems theory; control (93-XX)
25 Probability theory and stochastic processes (60-XX)
24 Statistics (62-XX)
23 Computer science (68-XX)
18 Operator theory (47-XX)
18 Statistical mechanics, structure of matter (82-XX)
16 Calculus of variations and optimal control; optimization (49-XX)
15 Biology and other natural sciences (92-XX)
12 Operations research, mathematical programming (90-XX)
8 Linear and multilinear algebra; matrix theory (15-XX)
8 Difference and functional equations (39-XX)
8 Mechanics of particles and systems (70-XX)
6 Mechanics of deformable solids (74-XX)
6 Information and communication theory, circuits (94-XX)
5 Order, lattices, ordered algebraic structures (06-XX)
5 Algebraic geometry (14-XX)
5 General topology (54-XX)
5 Geophysics (86-XX)
4 Real functions (26-XX)
4 Differential geometry (53-XX)
4 Global analysis, analysis on manifolds (58-XX)
3 Combinatorics (05-XX)
3 Manifolds and cell complexes (57-XX)
3 Classical thermodynamics, heat transfer (80-XX)
2 Mathematical logic and foundations (03-XX)
2 Harmonic analysis on Euclidean spaces (42-XX)
2 Functional analysis (46-XX)
2 Algebraic topology (55-XX)
2 Quantum theory (81-XX)
2 Astronomy and astrophysics (85-XX)
2 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 General and overarching topics; collections (00-XX)
1 Number theory (11-XX)
1 Nonassociative rings and algebras (17-XX)
1 Topological groups, Lie groups (22-XX)
1 Measure and integration (28-XX)
1 Integral equations (45-XX)
1 Optics, electromagnetic theory (78-XX)
1 Relativity and gravitational theory (83-XX)

Citations by Year