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Jones, Christopher K. R. T.

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Author ID: jones.christopher-k-r-t Recent zbMATH articles by "Jones, Christopher K. R. T."
Published as: Jones, Christopher K. R. T.; Jones, C. K. R. T.; Jones, Christopher; Jones, C.; Jones, Chris K. R. T.; Jones, Chris; Jones, Christopher K.
Homepage: https://ckrtjones.web.unc.edu/
External Links: MGP
all top 5

Co-Authors

20 single-authored
9 Gardner, Robert A.
8 Latushkin, Yuri
8 Marangell, Robert
7 Cox, Graham
6 Sandstede, Björn
5 Alexander, James Crew
5 Bates, Peter W.
5 Kirchgraber, Urs
5 Walther, Hans-Otto
4 Beck, Margaret
4 Ide, Kayo
4 Kopell, Nancy J.
4 Küpper, Tassilo
4 Kuznetsov, Leonid A.
4 Miller, Peter D.
4 Sukhtayev, Alim
3 Apte, Amit
3 Balasuriya, Sanjeeva
3 Carrassi, Alberto
3 Cornwell, Paul
3 Ghazaryan, Anna
3 Grudzien, Colin J.
3 Kapitula, Todd M.
3 Marzuola, Jeremy L.
3 Plaza, Ramón G.
3 Schäfer, Tobias
3 Zharnitsky, Vadim
2 Barát, János
2 Bocquet, Marc
2 Costanzino, Nicola
2 Deng, Jian
2 Fife, Paul C.
2 Grenier, Emmanuel
2 Gurumoorthy, Karthik S.
2 Hill, Ray
2 Horne, Rudy Lee
2 Kaper, Tasso J.
2 Kevrekidis, Panayotis G.
2 Landzhev, Ivan Nikolov
2 Manukian, Vahagn
2 Mezić, Igor
2 Pratt, Larry J.
2 Rubin, Jonathan E.
2 Santitissadeekorn, Naratip
2 Storme, Leo
2 Tin, Siu-Kei
2 Ward, Harold N.
2 Wechselberger, Martin
1 Aceves, Alejandro B.
1 Adachihara, Hatsuo
1 Amato, Nancy M.
1 Amezcua, Javier
1 Ancona, Fabio
1 Aubry, Romain
1 Baird, Thomas John
1 Bayazit, Osman Burçhan
1 Bennetts, Luke G.
1 Bose, Amitabha
1 Bridges, Thomas J.
1 Budhiraja, Amarjit S.
1 Burns, Timothy J.
1 Cannarsa, Piermarco
1 Chen, Xinfu
1 Cherkaev, Elena
1 Chin, Toshio M.
1 Chung, Yeojin
1 Clemons, Curtis B.
1 Dale, Lucia K.
1 de Moraes, Rafael J.
1 Doelman, Arjen
1 Duan, Jinqiao
1 Edel, Yves
1 Eisenman, Ian
1 Eldridge, Marge
1 Evensen, Geir
1 Farchi, Alban
1 Feltham, Daniel L.
1 Flynn, Mike
1 Fowler, Alison
1 Gesztesy, Fritz
1 Golden, Kenneth M.
1 Grillakis, Manoussos G.
1 Hammel, Stephen M.
1 Holt, Jeffrey J.
1 Horvat, Christopher
1 Houtekamer, Pieter L.
1 Howard, Lou
1 Hunke, Elizabeth C.
1 Jackson, Russell K.
1 Karamete, B. Kaan
1 Kelemen, Peter J.
1 Khibnik, Alexander I.
1 Kiers, Claire
1 Kirwan, A. D. jun.
1 Klintworth, Karen
1 Konotop, Vladimir V.
1 Lamming, Mik
1 Langer, R.
1 Lerman, Juan Carlos
1 Maclean, John
...and 52 more Co-Authors
all top 5

Serials

19 Physica D
7 Journal of Differential Equations
7 SIAM Journal on Mathematical Analysis
6 Nonlinearity
5 Journal of Dynamics and Differential Equations
4 Indiana University Mathematics Journal
4 Transactions of the American Mathematical Society
4 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
3 ZAMP. Zeitschrift für angewandte Mathematik und Physik
2 Journal für die Reine und Angewandte Mathematik
2 Economics Letters
2 Notices of the American Mathematical Society
2 Discrete and Continuous Dynamical Systems
2 SIAM Journal on Applied Dynamical Systems
2 Discrete and Continuous Dynamical Systems. Series S
1 Archive for Rational Mechanics and Analysis
1 Communications on Pure and Applied Mathematics
1 International Journal for Numerical Methods in Fluids
1 Journal of Computational Physics
1 Physics Letters. A
1 Rocky Mountain Journal of Mathematics
1 Mathematics Magazine
1 The Mathematical Intelligencer
1 Journal of Geometry
1 Mathematics and Computers in Simulation
1 Proceedings of the American Mathematical Society
1 SIAM Journal on Control and Optimization
1 SIAM Journal on Numerical Analysis
1 Studies in Applied Mathematics
1 Zeitschrift für Mathematische Logik und Grundlagen der Mathematik
1 Ergodic Theory and Dynamical Systems
1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
1 Communications in Partial Differential Equations
1 SIAM Journal on Applied Mathematics
1 SIAM Review
1 Journal of Nonlinear Science
1 The Electronic Journal of Combinatorics
1 Mathematical Finance
1 Chaos
1
1 Journal of Turbulence
1 Journal of Evolution Equations
1 Bulletin of the Brazilian Mathematical Society. New Series
1 Contemporary Mathematics
1 The IMA Volumes in Mathematics and its Applications
1 Journal of Physics A: Mathematical and Theoretical
1 SIAM Journal on Financial Mathematics
1
1 Springer INdAM Series
1 SIAM/ASA Journal on Uncertainty Quantification
1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
1 Foundations of Data Science

Publications by Year

Citations contained in zbMATH Open

99 Publications have been cited 1,966 times in 1,274 Documents Cited by Year
Geometric singular perturbation theory. Zbl 0840.58040
Jones, Christopher K. R. T.
325
1995
A topological invariant arising in the stability analysis of travelling waves. Zbl 0705.35070
Alexander, J.; Gardner, R.; Jones, C.
197
1990
Stability of the travelling wave solution of the FitzHugh-Nagumo system. Zbl 0567.35044
Jones, Christopher K. R. T.
128
1984
A probabilistic powerdomain of evaluations. Zbl 0716.06003
Jones, C.; Plotkin, G. D.
86
1989
Tracking invariant manifolds with differential forms in singularly perturbed systems. Zbl 0796.34038
Jones, C. K. R. T.; Kopell, N.
81
1994
On the infinitely many solutions of a semilinear elliptic equation. Zbl 0606.35032
Jones, C.; Küpper, T.
64
1986
Tracking invariant manifolds up to exponentially small errors. Zbl 0871.58072
Jones, C. K. R. T.; Kaper, Tasso J.; Kopell, Nancy
51
1996
Ultra-short pulses in linear and nonlinear media. Zbl 1125.35412
Chung, Y.; Jones, C. K. R. T.; Schäfer, T.; Wayne, C. E.
48
2005
Invariant manifolds for semilinear partial differential equations. Zbl 0674.58024
Bates, Peter W.; Jones, Christopher K. R. T.
44
1989
Stability of travelling waves for non-convex scalar viscous conservation laws. Zbl 0791.35078
Jones, Christopher K. R. T.; Gardner, Robert; Kapitula, Todd
39
1993
Stabilizing effects of dispersion management. Zbl 0972.78021
Zharnitsky, Vadim; Grenier, Emmanuel; Jones, Christopher K. R. T.; Turitsyn, Sergei K.
36
2001
Traveling waves of a perturbed diffusion equation arising in a phase field model. Zbl 0799.35106
Gardner, R. A.; Jones, C. K. R. T.
34
1990
Stability of travelling wave solutions of diffusive predator-prey systems. Zbl 0755.35056
Gardner, R.; Jones, C. K. R. T.
34
1991
Invariant manifolds and singularly perturbed boundary value problems. Zbl 0813.34024
Tin, S.-K.; Kopell, N.; Jones, C. K. R. T.
31
1994
Instability of standing waves for nonlinear Schrödinger-type equations. Zbl 0636.35017
Jones, Christopher K. R. T.
29
1988
Construction of the Fitzhugh-Nagumo pulse using differential forms. Zbl 0742.92008
Jones, C.; Kopell, N.; Langer, R.
28
1991
A geometric proof of the Kwong-McLeod uniqueness result. Zbl 0779.35040
Clemons, C. B.; Jones, C. K. R. T.
26
1993
Multi-dimensional Morse index theorems and a symplectic view of elliptic boundary value problems. Zbl 1210.35056
Deng, Jian; Jones, Christopher
25
2011
Quantifying transport in numerically generated velocity fields. Zbl 0925.76260
Miller, P. D.; Jones, C. K. R. T.; Rogerson, A. M.; Pratt, L. J.
21
1997
A spectral mapping theorem and invariant manifolds for nonlinear Schrödinger equations. Zbl 0969.35123
Gesztesy, F.; Jones, C. K. R. T.; Latushkin, Y.; Stanislavova, M.
21
2000
Asymptotic behaviour of a reaction-diffusion equation in higher space dimensions. Zbl 0528.35054
Jones, Christopher K. R. T.
20
1983
Existence and stability of \(N\)-pulses on optical fibers with phase-sensitive amplifiers. Zbl 0938.35184
Sandstede, B.; Jones, C. K. R. T.; Alexander, J. C.
18
1997
A stability index for steady state solutions of boundary value problems for parabolic systems. Zbl 0778.35051
Gardner, R.; Jones, C. K. R. T.
17
1991
A Morse index theorem for elliptic operators on bounded domains. Zbl 1335.35166
Cox, Graham; Jones, Christopher K. R. T.; Marzuola, Jeremy L.
17
2015
The existence of travelling wave solutions of a generalized phase-field model. Zbl 0867.35041
Bates, P. W.; Fife, P. C.; Gardner, R. A.; Jones, C. K. R. T.
17
1997
Generalized exchange lemmas and orbits heteroclinic to invariant manifolds. Zbl 1362.34094
Jones, Christopher K. R. T.; Tin, Siu-Kei
17
2009
Spherically symmetric solutions of a reaction-diffusion equation. Zbl 0523.35059
Jones, Christopher K. R. T.
16
1983
On the existence and stability of fast traveling waves in a doubly diffusive FitzHugh-Nagumo system. Zbl 1406.35041
Cornwell, Paul; Jones, Christopher K. R. T.
16
2018
Solitary waves of the regularized short pulse and Ostrovsky equations. Zbl 1244.34069
Costanzino, Nicola; Manukian, Vahagn; Jones, Christopher K. R. T.
15
2009
Melnikov theory for finite-time vector fields. Zbl 0962.37007
Sandstede, Björn; Balasuriya, Sanjeeva; Jones, Christopher K. R. T.; Miller, Patrick
15
2000
On the stability analysis of periodic sine-Gordon traveling waves. Zbl 1278.35046
Jones, Christopher K. R. T.; Marangell, Robert; Miller, Peter D.; Plaza, Ramón G.
15
2013
An instability mechanism for radially symmetric standing waves of a nonlinear Schrödinger equation. Zbl 0656.35108
Jones, Christopher K. R. T.
15
1988
A primer on the exchange lemma for fast-slow systems. Zbl 1007.34046
Kaper, Tasso J.; Jones, Christopher K. R. T.
15
2001
Electrical waves in a one-dimensional model of cardiac tissue. Zbl 1167.34364
Beck, Margaret; Jones, Christopher K. R. T.; Schaeffer, David; Wechselberger, Martin
14
2008
Existence and stability of asymptotically oscillatory double pulses. Zbl 0782.35032
Alexander, J. C.; Jones, C. K. R. T.
14
1994
Settling and asymptotic motion of aerosol particles in a cellular flow field. Zbl 0841.76089
Rubin, J.; Jones, C. K. R. T.; Maxey, M.
14
1995
Data assimilation: mathematical and statistical perspectives. Zbl 1384.62300
Apte, A.; Jones, C. K. R. T.; Stuart, A. M.; Voss, J.
13
2008
Stability of the in-phase travelling wave solution in a pair of coupled nerve fibers. Zbl 0837.35062
Bose, Amitabha; Jones, Christopher K. R. T.
13
1995
The Morse and Maslov indices for multidimensional Schrödinger operators with matrix-valued potentials. Zbl 1351.35028
Cox, Graham; Jones, Christopher K. R. T.; Latushkin, Yuri; Sukhtayev, Alim
13
2016
Nearly real fronts in a Ginzburg-Landau equation. Zbl 0708.76064
Jones, Christopher K. R. T.; Kapitula, Todd M.; Powell, James A.
13
1990
Stability of pulses on optical fibers with phase-sensitive amplifiers. Zbl 0882.35110
Alexander, J. C.; Grillakis, M. G.; Jones, C. K. R. T.; Sandstede, B.
13
1997
Spectral and modulational stability of periodic wavetrains for the nonlinear Klein-Gordon equation. Zbl 1304.35079
Jones, Christopher K. R. T.; Marangell, Robert; Miller, Peter D.; Plaza, Ramón G.
13
2014
Counting spectrum via the Maslov index for one dimensional \(\theta\)-periodic Schrödinger operators. Zbl 1353.53080
Jones, Christopher K. R. T.; Latushkin, Yuri; Sukhtaiev, Selim
11
2017
The Morse and Maslov indices for matrix Hill’s equations. Zbl 1326.53118
Jones, Christopher K. R. T.; Latushkin, Yuri; Marangell, Robert
11
2013
Invariant manifolds and Lagrangian dynamics in the ocean and atmosphere. Zbl 1039.86002
Jones, Christopher; Winkler, Sean
11
2002
Existence and stability of asymptotically oscillatory triple pulses. Zbl 0817.35039
Alexander, J. C.; Jones, C. K. R. T.
10
1993
Existence of standing pulse solutions to an inhomogeneous reaction-diffusion system. Zbl 0896.34041
Jones, Christopher K. R. T.; Rubin, Jonathan E.
10
1998
Instability of pulses in gradient reaction-diffusion systems: a symplectic approach. Zbl 1402.35137
Beck, M.; Cox, G.; Jones, C.; Latushkin, Y.; McQuighan, K.; Sukhtayev, A.
10
2018
Localized standing waves in inhomogeneous Schrödinger equations. Zbl 1203.37118
Marangell, R.; Jones, C. K. R. T.; Susanto, H.
9
2010
On stratified shear flow in sea straits of arbitrary cross section. Zbl 1141.76363
Deng, Jian; Pratt, Larry; Howard, Lou; Jones, Chris
9
2003
Lagrangian data assimilation for point vortex systems. Zbl 1083.76531
Ide, Kayo; Kuznetsov, Leonid; Jones, Christopher K. R. T.
9
2002
Viscous perturbations of vorticity-conserving flows and separatrix splitting. Zbl 0913.76014
Balasuriya, Sanjeeva; Jones, Christopher K. R. T.; Sandstede, Björn
9
1998
Manifold decompositions and indices of Schrödinger operators. Zbl 1408.35018
Cox, Graham; Jones, Christopher K. R. T.; Marzuola, Jeremy L.
9
2017
Traveling waves in porous media combustion: uniqueness of waves for small thermal diffusivity. Zbl 1139.34040
Ghazaryan, Anna; Gordon, Peter; Jones, Christopher K. R. T.
8
2007
Radial solutions of a semilinear elliptic equation at a critical exponent. Zbl 0679.35033
Jones, Christopher K. R. T.
8
1988
Characterisation of bifurcation from the continuous spectrum by nodal properties. Zbl 0547.34018
Jones, Christopher; Küpper, Tassilo
8
1984
Approximation of random slow manifolds and settling of inertial particles under uncertainty. Zbl 1356.37074
Ren, Jian; Duan, Jinqiao; Jones, Christopher K. R. T.
8
2015
Chaos and coherent structures in partial differential equations. Zbl 0596.58029
Aceves, Alejandro; Adachihara, Hatsuo; Jones, Christopher; Lerman, Juan Carlos; McLaughlin, David W.; Moloney, Jerome V.; Newell, Alan C.
8
1986
The stability of traveling calcium pulses in a pancreatic acinar cell. Zbl 1014.92017
Romeo, Mónica M.; Jones, Christopher K. R. T.
8
2003
Phase field models for hypercooled solidification. Zbl 0890.35161
Bates, P. W.; Fife, P. C.; Gardner, R. A.; Jones, C. K. R. T.
8
1997
Instability of quasiperiodic solutions of the Ginzburg-Landau equation. Zbl 0840.35104
Doelman, A.; Gardner, R. A.; Jones, C. K. R. T.
7
1995
Capturing deviation from ergodicity at different scales. Zbl 1207.37005
Scott, Sherry E.; Redd, Thomas C.; Kuznetsov, Leonid; Mezić, Igor; Jones, Christopher K. R. T.
6
2009
The spectrum of travelling wave solutions to the sine-Gordon equation. Zbl 1248.35136
Jones, Christopher K. R. T.; Marangell, Robert
6
2012
Unstable gap solitons in inhomogeneous nonlinear Schrödinger equations. Zbl 1278.35231
Marangell, R.; Susanto, H.; Jones, C. K. R. T.
5
2012
OBPRM: An obstacle-based PRM for 3D workspaces. Zbl 0949.70508
Amato, Nancy M.; Bayazit, O. Burchan; Dale, Lucia K.; Jones, Christopher; Vallejo, Daniel
5
1998
Degenerate Kalman filter error covariances and their convergence onto the unstable subspace. Zbl 1365.93497
Bocquet, Marc; Gurumoorthy, Karthik S.; Apte, Amit; Carrassi, Alberto; Grudzien, Colin; Jones, Christopher K. R. T.
5
2017
Jumping stable manifolds for dissipative maps of the plane. Zbl 0686.58008
Hammel, Stephen M.; Jones, Christopher K. R. T.
5
1989
Weak finite-time Melnikov theory and three-dimensional viscous perturbations of Euler flows. Zbl 1006.76020
Balasuriya, Sanjeeva; Mezić, Igor; Jones, Christopher K. R. T.
5
2003
On the stability of high Lewis number combustion fronts. Zbl 1175.35014
Ghazaryan, Anna; Jones, Christopher K. R. T.
4
2009
Stable pulse solutions for the nonlinear Schrödinger equation with higher order dispersion management. Zbl 1061.35136
Moeser, Jamison T.; Jones, Christopher K. R. T.; Zharnitsky, Vadim
4
2004
Rank deficiency of Kalman error covariance matrices in linear time-varying system with deterministic evolution. Zbl 1361.93062
Gurumoorthy, Karthik S.; Grudzien, Colin; Apte, Amit; Carrassi, Alberto; Jones, Christopher K. R. T.
4
2017
Mixed mode oscillations in a conceptual climate model. Zbl 1364.86018
Roberts, Andrew; Widiasih, Esther; Wechselberger, Martin; Jones, Christopher K. R. T.
4
2015
A shooting argument with oscillation for semilinear elliptic radially symmetric equations. Zbl 0671.35028
Jones, C. K. R. T.; Küpper, T.; Plakties, H.
4
1988
Optimal four-dimensional codes over \(\text{GF}(8)\). Zbl 1165.94328
Jones, Chris; Matney, Angela; Ward, Harold
4
2006
Solitary waves under the competition of linear and nonlinear periodic potentials. Zbl 1131.82009
Rapti, Z.; Kevrekidis, P. G.; Konotop, V. V.; Jones, C. K. R. T.
3
2007
Viscous perturbations of marginally stable Euler flow and finite-time Melnikov theory. Zbl 1067.35073
Grenier, Emmanuel; Jones, Christopher K. R. T.; Rousset, Frederic; Sandstede, Björn
3
2005
Assessing coherent feature kinematics in ocean models. Zbl 1076.37533
Kuznetsov, L.; Jones, C. K. R. T.; Toner, M.; Kirwan, A. D. jun.
3
2004
Bifurcation of asymmetric solutions in nonlinear optical media. Zbl 0983.37114
Jones, C. K. R. T.; Küpper, T.; Schaffner, K.
3
2001
Dispersion-managed solitons via an averaged variational principle. Zbl 1047.65084
Jackson, Russell K.; Jones, Christopher K. R. T.; Zharnitsky, Vadim
3
2004
Tax arbitrage, existence of equilibrium, and bounded tax rebates. Zbl 0900.90260
Jones, Chris; Milne, Frank
3
1992
Exponentially small splitting of heteroclinc orbits: from the rapidly forced pendulum to discrete solitons. Zbl 1115.34328
Kevrekidis, P. G.; Jones, C. K. R. T.; Kapitula, T.
3
2000
On conditions for rate-induced tipping in multi-dimensional dynamical systems. Zbl 1472.37029
Kiers, Claire; Jones, Christopher K. R. T.
3
2020
Modified particle filter methods for assimilating Lagrangian data into a point-vortex model. Zbl 1143.76409
Spiller, Elaine T.; Budhiraja, Amarjit; Ide, Kayo; Jones, Chris K. R. T.
2
2008
Capturing eddy shedding in the Gulf of Mexico from Lagrangian observations. Zbl 1372.86005
Vernieres, Guillaume; Jones, Christopher K. R. T.; Ide, Kayo
2
2011
A mechanism for capture into resonance. Zbl 0791.58081
Burns, T. J.; Jones, C. K. R. T.
2
1993
Decreasing flow uncertainty in Bayesian inverse problems through Lagrangian drifter control. Zbl 1365.86013
McDougall, Damon; Jones, Chris K. R. T.
2
2016
On the infinitely many standing waves of some nonlinear Schrödinger equations. Zbl 0594.35003
Jones, C. K. R. T.
2
1986
The solutions of the nonlinear Klein-Gordon equation near a steady state. Zbl 0696.35142
Bates, P. W.; Jones, C. K. R. T.
2
1989
On complete caps in the projective geometries over \(\mathbb F_3\). Zbl 0971.51005
Hill, Ray; Landjev, Ivan; Jones, Chris; Storme, Leo; Barát, János
2
2000
A coherent structure approach for parameter estimation in Lagrangian data assimilation. Zbl 1378.93132
Maclean, John; Santitissadeekorn, Naratip; Jones, Christopher K. R. T.
2
2017
Geometric phase in the Hopf bundle and the stability of non-linear waves. Zbl 1415.35149
Grudzien, Colin J.; Bridges, Thomas J.; Jones, Christopher K. R. T.
2
2016
Existence of multi-pulses of the regularized short-pulse and Ostrovsky equations. Zbl 1180.35053
Manukian, Vahagn; Costanzino, Nicola; Jones, Christopher K. R. T.; Sandstede, Björn
2
2009
A stability index for travelling waves in activator-inhibitor systems. Zbl 1436.35036
Cornwell, Paul; Jones, Christopher K. R. T.
2
2020
Exponential dichotomies for elliptic PDE on radial domains. Zbl 1459.35175
Beck, Margaret; Cox, Graham; Jones, Christopher; Latushkin, Yuri; Sukhtayev, Alim
2
2020
Whither applied nonlinear dynamics? Zbl 1047.70501
Jones, Christopher K. R. T.
1
2001
On the spectral and modulational stability of periodic wavetrains for nonlinear Klein-Gordon equations. Zbl 1356.35038
Jones, Christopher K. R. T.; Marangell, Robert; Miller, Peter D.; Plaza, Ramón G.
1
2016
Multiple-time-scale dynamical systems. Proceedings of the IMA workshop, Minneapolis, MN, USA, 1997-98. Zbl 0952.00030
1
2001
A bimodality trap in model projections. Zbl 1374.86039
Santitissadeekorn, Naratip; Jones, Chris
1
2015
A dynamical approach to semilinear elliptic equations. Zbl 1459.35174
Beck, Margaret; Cox, Graham; Jones, Christopher; Latushkin, Yuri; Sukhtayev, Alim
1
2021
A dynamical approach to semilinear elliptic equations. Zbl 1459.35174
Beck, Margaret; Cox, Graham; Jones, Christopher; Latushkin, Yuri; Sukhtayev, Alim
1
2021
On conditions for rate-induced tipping in multi-dimensional dynamical systems. Zbl 1472.37029
Kiers, Claire; Jones, Christopher K. R. T.
3
2020
A stability index for travelling waves in activator-inhibitor systems. Zbl 1436.35036
Cornwell, Paul; Jones, Christopher K. R. T.
2
2020
Exponential dichotomies for elliptic PDE on radial domains. Zbl 1459.35175
Beck, Margaret; Cox, Graham; Jones, Christopher; Latushkin, Yuri; Sukhtayev, Alim
2
2020
On the existence and stability of fast traveling waves in a doubly diffusive FitzHugh-Nagumo system. Zbl 1406.35041
Cornwell, Paul; Jones, Christopher K. R. T.
16
2018
Instability of pulses in gradient reaction-diffusion systems: a symplectic approach. Zbl 1402.35137
Beck, M.; Cox, G.; Jones, C.; Latushkin, Y.; McQuighan, K.; Sukhtayev, A.
10
2018
Counting spectrum via the Maslov index for one dimensional \(\theta\)-periodic Schrödinger operators. Zbl 1353.53080
Jones, Christopher K. R. T.; Latushkin, Yuri; Sukhtaiev, Selim
11
2017
Manifold decompositions and indices of Schrödinger operators. Zbl 1408.35018
Cox, Graham; Jones, Christopher K. R. T.; Marzuola, Jeremy L.
9
2017
Degenerate Kalman filter error covariances and their convergence onto the unstable subspace. Zbl 1365.93497
Bocquet, Marc; Gurumoorthy, Karthik S.; Apte, Amit; Carrassi, Alberto; Grudzien, Colin; Jones, Christopher K. R. T.
5
2017
Rank deficiency of Kalman error covariance matrices in linear time-varying system with deterministic evolution. Zbl 1361.93062
Gurumoorthy, Karthik S.; Grudzien, Colin; Apte, Amit; Carrassi, Alberto; Jones, Christopher K. R. T.
4
2017
A coherent structure approach for parameter estimation in Lagrangian data assimilation. Zbl 1378.93132
Maclean, John; Santitissadeekorn, Naratip; Jones, Christopher K. R. T.
2
2017
The Morse and Maslov indices for multidimensional Schrödinger operators with matrix-valued potentials. Zbl 1351.35028
Cox, Graham; Jones, Christopher K. R. T.; Latushkin, Yuri; Sukhtayev, Alim
13
2016
Decreasing flow uncertainty in Bayesian inverse problems through Lagrangian drifter control. Zbl 1365.86013
McDougall, Damon; Jones, Chris K. R. T.
2
2016
Geometric phase in the Hopf bundle and the stability of non-linear waves. Zbl 1415.35149
Grudzien, Colin J.; Bridges, Thomas J.; Jones, Christopher K. R. T.
2
2016
On the spectral and modulational stability of periodic wavetrains for nonlinear Klein-Gordon equations. Zbl 1356.35038
Jones, Christopher K. R. T.; Marangell, Robert; Miller, Peter D.; Plaza, Ramón G.
1
2016
A Morse index theorem for elliptic operators on bounded domains. Zbl 1335.35166
Cox, Graham; Jones, Christopher K. R. T.; Marzuola, Jeremy L.
17
2015
Approximation of random slow manifolds and settling of inertial particles under uncertainty. Zbl 1356.37074
Ren, Jian; Duan, Jinqiao; Jones, Christopher K. R. T.
8
2015
Mixed mode oscillations in a conceptual climate model. Zbl 1364.86018
Roberts, Andrew; Widiasih, Esther; Wechselberger, Martin; Jones, Christopher K. R. T.
4
2015
A bimodality trap in model projections. Zbl 1374.86039
Santitissadeekorn, Naratip; Jones, Chris
1
2015
Spectral and modulational stability of periodic wavetrains for the nonlinear Klein-Gordon equation. Zbl 1304.35079
Jones, Christopher K. R. T.; Marangell, Robert; Miller, Peter D.; Plaza, Ramón G.
13
2014
On the stability analysis of periodic sine-Gordon traveling waves. Zbl 1278.35046
Jones, Christopher K. R. T.; Marangell, Robert; Miller, Peter D.; Plaza, Ramón G.
15
2013
The Morse and Maslov indices for matrix Hill’s equations. Zbl 1326.53118
Jones, Christopher K. R. T.; Latushkin, Yuri; Marangell, Robert
11
2013
The spectrum of travelling wave solutions to the sine-Gordon equation. Zbl 1248.35136
Jones, Christopher K. R. T.; Marangell, Robert
6
2012
Unstable gap solitons in inhomogeneous nonlinear Schrödinger equations. Zbl 1278.35231
Marangell, R.; Susanto, H.; Jones, C. K. R. T.
5
2012
Multi-dimensional Morse index theorems and a symplectic view of elliptic boundary value problems. Zbl 1210.35056
Deng, Jian; Jones, Christopher
25
2011
Capturing eddy shedding in the Gulf of Mexico from Lagrangian observations. Zbl 1372.86005
Vernieres, Guillaume; Jones, Christopher K. R. T.; Ide, Kayo
2
2011
Localized standing waves in inhomogeneous Schrödinger equations. Zbl 1203.37118
Marangell, R.; Jones, C. K. R. T.; Susanto, H.
9
2010
Generalized exchange lemmas and orbits heteroclinic to invariant manifolds. Zbl 1362.34094
Jones, Christopher K. R. T.; Tin, Siu-Kei
17
2009
Solitary waves of the regularized short pulse and Ostrovsky equations. Zbl 1244.34069
Costanzino, Nicola; Manukian, Vahagn; Jones, Christopher K. R. T.
15
2009
Capturing deviation from ergodicity at different scales. Zbl 1207.37005
Scott, Sherry E.; Redd, Thomas C.; Kuznetsov, Leonid; Mezić, Igor; Jones, Christopher K. R. T.
6
2009
On the stability of high Lewis number combustion fronts. Zbl 1175.35014
Ghazaryan, Anna; Jones, Christopher K. R. T.
4
2009
Existence of multi-pulses of the regularized short-pulse and Ostrovsky equations. Zbl 1180.35053
Manukian, Vahagn; Costanzino, Nicola; Jones, Christopher K. R. T.; Sandstede, Björn
2
2009
Electrical waves in a one-dimensional model of cardiac tissue. Zbl 1167.34364
Beck, Margaret; Jones, Christopher K. R. T.; Schaeffer, David; Wechselberger, Martin
14
2008
Data assimilation: mathematical and statistical perspectives. Zbl 1384.62300
Apte, A.; Jones, C. K. R. T.; Stuart, A. M.; Voss, J.
13
2008
Modified particle filter methods for assimilating Lagrangian data into a point-vortex model. Zbl 1143.76409
Spiller, Elaine T.; Budhiraja, Amarjit; Ide, Kayo; Jones, Chris K. R. T.
2
2008
Traveling waves in porous media combustion: uniqueness of waves for small thermal diffusivity. Zbl 1139.34040
Ghazaryan, Anna; Gordon, Peter; Jones, Christopher K. R. T.
8
2007
Solitary waves under the competition of linear and nonlinear periodic potentials. Zbl 1131.82009
Rapti, Z.; Kevrekidis, P. G.; Konotop, V. V.; Jones, C. K. R. T.
3
2007
Optimal four-dimensional codes over \(\text{GF}(8)\). Zbl 1165.94328
Jones, Chris; Matney, Angela; Ward, Harold
4
2006
Ultra-short pulses in linear and nonlinear media. Zbl 1125.35412
Chung, Y.; Jones, C. K. R. T.; Schäfer, T.; Wayne, C. E.
48
2005
Viscous perturbations of marginally stable Euler flow and finite-time Melnikov theory. Zbl 1067.35073
Grenier, Emmanuel; Jones, Christopher K. R. T.; Rousset, Frederic; Sandstede, Björn
3
2005
Stable pulse solutions for the nonlinear Schrödinger equation with higher order dispersion management. Zbl 1061.35136
Moeser, Jamison T.; Jones, Christopher K. R. T.; Zharnitsky, Vadim
4
2004
Assessing coherent feature kinematics in ocean models. Zbl 1076.37533
Kuznetsov, L.; Jones, C. K. R. T.; Toner, M.; Kirwan, A. D. jun.
3
2004
Dispersion-managed solitons via an averaged variational principle. Zbl 1047.65084
Jackson, Russell K.; Jones, Christopher K. R. T.; Zharnitsky, Vadim
3
2004
On stratified shear flow in sea straits of arbitrary cross section. Zbl 1141.76363
Deng, Jian; Pratt, Larry; Howard, Lou; Jones, Chris
9
2003
The stability of traveling calcium pulses in a pancreatic acinar cell. Zbl 1014.92017
Romeo, Mónica M.; Jones, Christopher K. R. T.
8
2003
Weak finite-time Melnikov theory and three-dimensional viscous perturbations of Euler flows. Zbl 1006.76020
Balasuriya, Sanjeeva; Mezić, Igor; Jones, Christopher K. R. T.
5
2003
Invariant manifolds and Lagrangian dynamics in the ocean and atmosphere. Zbl 1039.86002
Jones, Christopher; Winkler, Sean
11
2002
Lagrangian data assimilation for point vortex systems. Zbl 1083.76531
Ide, Kayo; Kuznetsov, Leonid; Jones, Christopher K. R. T.
9
2002
Stabilizing effects of dispersion management. Zbl 0972.78021
Zharnitsky, Vadim; Grenier, Emmanuel; Jones, Christopher K. R. T.; Turitsyn, Sergei K.
36
2001
A primer on the exchange lemma for fast-slow systems. Zbl 1007.34046
Kaper, Tasso J.; Jones, Christopher K. R. T.
15
2001
Bifurcation of asymmetric solutions in nonlinear optical media. Zbl 0983.37114
Jones, C. K. R. T.; Küpper, T.; Schaffner, K.
3
2001
Whither applied nonlinear dynamics? Zbl 1047.70501
Jones, Christopher K. R. T.
1
2001
Multiple-time-scale dynamical systems. Proceedings of the IMA workshop, Minneapolis, MN, USA, 1997-98. Zbl 0952.00030
1
2001
A spectral mapping theorem and invariant manifolds for nonlinear Schrödinger equations. Zbl 0969.35123
Gesztesy, F.; Jones, C. K. R. T.; Latushkin, Y.; Stanislavova, M.
21
2000
Melnikov theory for finite-time vector fields. Zbl 0962.37007
Sandstede, Björn; Balasuriya, Sanjeeva; Jones, Christopher K. R. T.; Miller, Patrick
15
2000
Exponentially small splitting of heteroclinc orbits: from the rapidly forced pendulum to discrete solitons. Zbl 1115.34328
Kevrekidis, P. G.; Jones, C. K. R. T.; Kapitula, T.
3
2000
On complete caps in the projective geometries over \(\mathbb F_3\). Zbl 0971.51005
Hill, Ray; Landjev, Ivan; Jones, Chris; Storme, Leo; Barát, János
2
2000
Existence of standing pulse solutions to an inhomogeneous reaction-diffusion system. Zbl 0896.34041
Jones, Christopher K. R. T.; Rubin, Jonathan E.
10
1998
Viscous perturbations of vorticity-conserving flows and separatrix splitting. Zbl 0913.76014
Balasuriya, Sanjeeva; Jones, Christopher K. R. T.; Sandstede, Björn
9
1998
OBPRM: An obstacle-based PRM for 3D workspaces. Zbl 0949.70508
Amato, Nancy M.; Bayazit, O. Burchan; Dale, Lucia K.; Jones, Christopher; Vallejo, Daniel
5
1998
Quantifying transport in numerically generated velocity fields. Zbl 0925.76260
Miller, P. D.; Jones, C. K. R. T.; Rogerson, A. M.; Pratt, L. J.
21
1997
Existence and stability of \(N\)-pulses on optical fibers with phase-sensitive amplifiers. Zbl 0938.35184
Sandstede, B.; Jones, C. K. R. T.; Alexander, J. C.
18
1997
The existence of travelling wave solutions of a generalized phase-field model. Zbl 0867.35041
Bates, P. W.; Fife, P. C.; Gardner, R. A.; Jones, C. K. R. T.
17
1997
Stability of pulses on optical fibers with phase-sensitive amplifiers. Zbl 0882.35110
Alexander, J. C.; Grillakis, M. G.; Jones, C. K. R. T.; Sandstede, B.
13
1997
Phase field models for hypercooled solidification. Zbl 0890.35161
Bates, P. W.; Fife, P. C.; Gardner, R. A.; Jones, C. K. R. T.
8
1997
Tracking invariant manifolds up to exponentially small errors. Zbl 0871.58072
Jones, C. K. R. T.; Kaper, Tasso J.; Kopell, Nancy
51
1996
Geometric singular perturbation theory. Zbl 0840.58040
Jones, Christopher K. R. T.
325
1995
Settling and asymptotic motion of aerosol particles in a cellular flow field. Zbl 0841.76089
Rubin, J.; Jones, C. K. R. T.; Maxey, M.
14
1995
Stability of the in-phase travelling wave solution in a pair of coupled nerve fibers. Zbl 0837.35062
Bose, Amitabha; Jones, Christopher K. R. T.
13
1995
Instability of quasiperiodic solutions of the Ginzburg-Landau equation. Zbl 0840.35104
Doelman, A.; Gardner, R. A.; Jones, C. K. R. T.
7
1995
Tracking invariant manifolds with differential forms in singularly perturbed systems. Zbl 0796.34038
Jones, C. K. R. T.; Kopell, N.
81
1994
Invariant manifolds and singularly perturbed boundary value problems. Zbl 0813.34024
Tin, S.-K.; Kopell, N.; Jones, C. K. R. T.
31
1994
Existence and stability of asymptotically oscillatory double pulses. Zbl 0782.35032
Alexander, J. C.; Jones, C. K. R. T.
14
1994
Stability of travelling waves for non-convex scalar viscous conservation laws. Zbl 0791.35078
Jones, Christopher K. R. T.; Gardner, Robert; Kapitula, Todd
39
1993
A geometric proof of the Kwong-McLeod uniqueness result. Zbl 0779.35040
Clemons, C. B.; Jones, C. K. R. T.
26
1993
Existence and stability of asymptotically oscillatory triple pulses. Zbl 0817.35039
Alexander, J. C.; Jones, C. K. R. T.
10
1993
A mechanism for capture into resonance. Zbl 0791.58081
Burns, T. J.; Jones, C. K. R. T.
2
1993
Tax arbitrage, existence of equilibrium, and bounded tax rebates. Zbl 0900.90260
Jones, Chris; Milne, Frank
3
1992
Stability of travelling wave solutions of diffusive predator-prey systems. Zbl 0755.35056
Gardner, R.; Jones, C. K. R. T.
34
1991
Construction of the Fitzhugh-Nagumo pulse using differential forms. Zbl 0742.92008
Jones, C.; Kopell, N.; Langer, R.
28
1991
A stability index for steady state solutions of boundary value problems for parabolic systems. Zbl 0778.35051
Gardner, R.; Jones, C. K. R. T.
17
1991
A topological invariant arising in the stability analysis of travelling waves. Zbl 0705.35070
Alexander, J.; Gardner, R.; Jones, C.
197
1990
Traveling waves of a perturbed diffusion equation arising in a phase field model. Zbl 0799.35106
Gardner, R. A.; Jones, C. K. R. T.
34
1990
Nearly real fronts in a Ginzburg-Landau equation. Zbl 0708.76064
Jones, Christopher K. R. T.; Kapitula, Todd M.; Powell, James A.
13
1990
A probabilistic powerdomain of evaluations. Zbl 0716.06003
Jones, C.; Plotkin, G. D.
86
1989
Invariant manifolds for semilinear partial differential equations. Zbl 0674.58024
Bates, Peter W.; Jones, Christopher K. R. T.
44
1989
Jumping stable manifolds for dissipative maps of the plane. Zbl 0686.58008
Hammel, Stephen M.; Jones, Christopher K. R. T.
5
1989
The solutions of the nonlinear Klein-Gordon equation near a steady state. Zbl 0696.35142
Bates, P. W.; Jones, C. K. R. T.
2
1989
Instability of standing waves for nonlinear Schrödinger-type equations. Zbl 0636.35017
Jones, Christopher K. R. T.
29
1988
An instability mechanism for radially symmetric standing waves of a nonlinear Schrödinger equation. Zbl 0656.35108
Jones, Christopher K. R. T.
15
1988
Radial solutions of a semilinear elliptic equation at a critical exponent. Zbl 0679.35033
Jones, Christopher K. R. T.
8
1988
A shooting argument with oscillation for semilinear elliptic radially symmetric equations. Zbl 0671.35028
Jones, C. K. R. T.; Küpper, T.; Plakties, H.
4
1988
On the infinitely many solutions of a semilinear elliptic equation. Zbl 0606.35032
Jones, C.; Küpper, T.
64
1986
Chaos and coherent structures in partial differential equations. Zbl 0596.58029
Aceves, Alejandro; Adachihara, Hatsuo; Jones, Christopher; Lerman, Juan Carlos; McLaughlin, David W.; Moloney, Jerome V.; Newell, Alan C.
8
1986
On the infinitely many standing waves of some nonlinear Schrödinger equations. Zbl 0594.35003
Jones, C. K. R. T.
2
1986
Stability of the travelling wave solution of the FitzHugh-Nagumo system. Zbl 0567.35044
Jones, Christopher K. R. T.
128
1984
Characterisation of bifurcation from the continuous spectrum by nodal properties. Zbl 0547.34018
Jones, Christopher; Küpper, Tassilo
8
1984
Asymptotic behaviour of a reaction-diffusion equation in higher space dimensions. Zbl 0528.35054
Jones, Christopher K. R. T.
20
1983
Spherically symmetric solutions of a reaction-diffusion equation. Zbl 0523.35059
Jones, Christopher K. R. T.
16
1983
all top 5

Cited by 1,554 Authors

42 Jones, Christopher K. R. T.
42 Zumbrun, Kevin R.
21 Doelman, Arjen
21 Kaper, Tasso J.
20 Wechselberger, Martin
19 Haller, George
19 Kühn, Christian
19 Sandstede, Björn
18 Latushkin, Yuri
17 Marangell, Robert
15 van Heijster, Peter
14 Humpherys, Jeffrey
13 Liu, Weishi
13 Szmolyan, Peter
13 Uldall Kristiansen, K.
12 Chen, Chaonien
12 Ghazaryan, Anna
12 Howard, Peter
12 Kapitula, Todd M.
12 Schecter, Stephen
11 Barker, Blake
11 Bates, Peter W.
11 Duan, Jinqiao
11 Hupkes, Hermen Jan
11 Scheel, Arnd
10 Balasuriya, Sanjeeva
10 De Maesschalck, Peter
10 Plaza, Ramón G.
10 Sukhtayev, Alim
9 Carter, Paul M.
9 Cox, Graham
9 Lyng, Gregory Daniel
9 Popović, Nikola
9 Rademacher, Jens Diederich Michael
8 Champneys, Alan R.
8 Coclite, Giuseppe Maria
8 Di Ruvo, Lorenzo
8 Hundertmark, Dirk
8 Jeffrey, Mike R.
8 Krauskopf, Bernd
8 Lee, Young-Ran
8 Osinga, Hinke Maria
8 Sourdis, Christos
8 Zhang, Mingji
7 Bridges, Thomas J.
7 Derks, Gianne
7 Kevrekidis, Panayotis G.
7 Lafortune, Stéphane
7 Lin, Xiaobiao
7 Mezić, Igor
7 Schlag, Wilhelm
7 Shen, Jianhe
7 Vo, Theodore
7 Wiggins, Stephen
7 Wu, Yaping
6 Beck, Margaret
6 Desroches, Mathieu
6 Ganesh, V.
6 Holzer, Matt
6 Johnson, Mathew A.
6 Kirk, Vivien
6 Krupa, Martin
6 Li, Ji
6 Manukian, Vahagn
6 Matano, Hiroshi
6 Nishiura, Yasumasa
6 Pelinovsky, Dmitry Efimovich
6 Roquejoffre, Jean-Michel
6 Stanislavova, Milena
6 Stuart, Andrew M.
6 Wijaya, Karunia Putra
5 Engel, Maximilian
5 Feng, Baofeng
5 Franca, Matteo
5 Gardner, Robert A.
5 Han, Maoan
5 Haragus, Mariana
5 Hsu, Ting-Hao
5 Iaia, Joseph A.
5 Lin, Guojian
5 Lu, Kening
5 Marzuola, Jeremy L.
5 Miller, Peter D.
5 Nakanishi, Kenji
5 Peletier, Lambertus Adrianus
5 Promislow, Keith Steven
5 Schneider, Guido
5 Stefanov, Atanas G.
5 Troy, William C.
5 Yi, Yingfei
5 Zeng, Chongchun
4 Apte, Amit
4 Chang, Chueh-Hsin
4 Chardard, Frédéric
4 Choi, Mi-Ran
4 Cornwell, Paul
4 de Rijk, Björn
4 Deconinck, Bernard
4 Deng, Jian
4 Dumortier, Freddy
...and 1,454 more Authors
all top 5

Cited in 216 Serials

154 Journal of Differential Equations
146 Physica D
62 SIAM Journal on Applied Dynamical Systems
51 Journal of Dynamics and Differential Equations
39 Journal of Mathematical Analysis and Applications
38 Archive for Rational Mechanics and Analysis
32 Journal of Nonlinear Science
29 Communications in Mathematical Physics
23 Chaos
23 Discrete and Continuous Dynamical Systems. Series B
20 Nonlinearity
20 Communications in Nonlinear Science and Numerical Simulation
19 Journal of Mathematical Physics
19 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
19 Transactions of the American Mathematical Society
19 SIAM Journal on Mathematical Analysis
16 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
16 Discrete and Continuous Dynamical Systems
15 Applied Mathematics and Computation
12 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
12 Physics of Fluids
11 Journal of Mathematical Biology
11 Communications in Partial Differential Equations
11 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
11 Nonlinear Analysis. Real World Applications
10 ZAMP. Zeitschrift für angewandte Mathematik und Physik
10 Chaos, Solitons and Fractals
10 Nonlinear Dynamics
8 Journal of Computational Physics
8 Bulletin of Mathematical Biology
8 Journal of Functional Analysis
8 Journal de Mathématiques Pures et Appliquées. Neuvième Série
8 Nonlinear Analysis. Theory, Methods & Applications
7 Proceedings of the American Mathematical Society
7 Applied Mathematics Letters
7 SIAM Journal on Applied Mathematics
7 Journal of Nonlinear Mathematical Physics
7 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
6 Mathematical Biosciences
6 Quarterly of Applied Mathematics
6 Calculus of Variations and Partial Differential Equations
6 Boundary Value Problems
6 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
5 Journal of Fluid Mechanics
5 NoDEA. Nonlinear Differential Equations and Applications
5 Communications on Pure and Applied Analysis
5 Mathematical Modelling of Natural Phenomena
4 Applicable Analysis
4 Communications on Pure and Applied Mathematics
4 Journal of Statistical Physics
4 Letters in Mathematical Physics
4 Mathematics of Computation
4 Acta Mathematicae Applicatae Sinica. English Series
4 Japan Journal of Industrial and Applied Mathematics
4 Applied Mathematical Modelling
4 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
4 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
4 Dynamical Systems
4 The Journal of Mathematical Neuroscience
3 Biological Cybernetics
3 Physics Letters. A
3 Rocky Mountain Journal of Mathematics
3 Theoretical and Mathematical Physics
3 Annali di Matematica Pura ed Applicata. Serie Quarta
3 Journal of Computational and Applied Mathematics
3 Mathematics and Computers in Simulation
3 Japan Journal of Applied Mathematics
3 The Annals of Applied Probability
3 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
3 SIAM Review
3 Electronic Journal of Differential Equations (EJDE)
3 Qualitative Theory of Dynamical Systems
3 Comptes Rendus. Mathématique. Académie des Sciences, Paris
3 Mathematical Biosciences and Engineering
3 Discrete and Continuous Dynamical Systems. Series S
3 Science China. Mathematics
3 SIAM/ASA Journal on Uncertainty Quantification
2 Computers and Fluids
2 Computer Methods in Applied Mechanics and Engineering
2 Journal d’Analyse Mathématique
2 Physics Reports
2 Reports on Mathematical Physics
2 Theoretical and Computational Fluid Dynamics
2 Journal of Geometry and Physics
2 Advances in Mathematics
2 BIT
2 Indiana University Mathematics Journal
2 Integral Equations and Operator Theory
2 Mathematische Nachrichten
2 Mathematische Zeitschrift
2 Memoirs of the American Mathematical Society
2 Numerische Mathematik
2 Studies in Applied Mathematics
2 Zeitschrift für Analysis und ihre Anwendungen
2 Applied Mathematics and Mechanics. (English Edition)
2 Acta Applicandae Mathematicae
2 Journal of the American Mathematical Society
2 Mathematical and Computer Modelling
2 European Journal of Applied Mathematics
2 Topological Methods in Nonlinear Analysis
...and 116 more Serials
all top 5

Cited in 39 Fields

754 Partial differential equations (35-XX)
424 Ordinary differential equations (34-XX)
347 Dynamical systems and ergodic theory (37-XX)
198 Biology and other natural sciences (92-XX)
168 Fluid mechanics (76-XX)
75 Numerical analysis (65-XX)
62 Optics, electromagnetic theory (78-XX)
45 Operator theory (47-XX)
42 Mechanics of particles and systems (70-XX)
38 Classical thermodynamics, heat transfer (80-XX)
35 Geophysics (86-XX)
34 Probability theory and stochastic processes (60-XX)
26 Mechanics of deformable solids (74-XX)
25 Statistical mechanics, structure of matter (82-XX)
23 Global analysis, analysis on manifolds (58-XX)
22 Differential geometry (53-XX)
22 Quantum theory (81-XX)
21 Systems theory; control (93-XX)
20 Statistics (62-XX)
19 Calculus of variations and optimal control; optimization (49-XX)
13 Difference and functional equations (39-XX)
8 Computer science (68-XX)
8 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
6 Integral equations (45-XX)
6 Information and communication theory, circuits (94-XX)
4 Linear and multilinear algebra; matrix theory (15-XX)
4 Manifolds and cell complexes (57-XX)
4 Relativity and gravitational theory (83-XX)
3 General and overarching topics; collections (00-XX)
3 Measure and integration (28-XX)
3 Functional analysis (46-XX)
3 Operations research, mathematical programming (90-XX)
2 Real functions (26-XX)
2 Algebraic topology (55-XX)
2 Astronomy and astrophysics (85-XX)
1 History and biography (01-XX)
1 Combinatorics (05-XX)
1 Special functions (33-XX)
1 Approximations and expansions (41-XX)

Citations by Year