Edit Profile (opens in new tab) Jones, Christopher K. R. T. Co-Author Distance Author ID: 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. more...less Homepage: https://ckrtjones.web.unc.edu/ External Links: MGP Documents Indexed: 145 Publications since 1981, including 12 Additional arXiv Preprints 8 Contributions as Editor Co-Authors: 135 Co-Authors with 112 Joint Publications 3,344 Co-Co-Authors all top 5 Co-Authors 22 single-authored 9 Gardner, Robert A. 9 Marangell, Robert 8 Latushkin, Yuri 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 Carrassi, Alberto 4 Cornwell, Paul 4 Grudzien, Colin J. 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 Ghazaryan, Anna 3 Jeronimo, Fernando Granha 3 Kapitula, Todd M. 3 Kiers, Claire 3 Marzuola, Jeremy Louis 3 Plaza, Ramón G. 3 Schäfer, Tobias 3 Slyman, Katherine 3 Zharnitsky, Vadim 2 Barát, János 2 Bocquet, Marc 2 Coregliano, Leonardo Nagami 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 Potechin, Aaron Henry 2 Pratt, Larry J. 2 Rubin, Jonathan E. 2 Sampson, Christian 2 Santitissadeekorn, Naratip 2 Storme, Leo 2 Susanto, Hadi 2 Tin, Siu-Kei 2 Ward, Harold N. 2 Wechselberger, Martin 2 Widiasih, Esther R. 1 Aceves, Alejandro B. 1 Adachihara, Hatsuo 1 Amato, Nancy M. 1 Amezcua, Javier 1 Ancona, Fabio 1 Aubry, Romain 1 Aydoğdu, Ali 1 Baird, Thomas John 1 Barker, Blake 1 Bassi, Angelo 1 Bayazit, Osman Burçhan 1 Bennetts, Luke G. 1 Bose, Amitabha 1 Bridges, Thomas J. 1 Bridges, Tom 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 Corak, Nicholas K. 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 Fleurantin, Emmanuel 1 Flynn, Mike 1 Fowler, Alison 1 Gasbarri, Giulio 1 Gemmer, John A. 1 Gesztesy, Fritz 1 Ghosh, Mrinalkanti 1 Golden, Kenneth M. 1 Grillakis, Manoussos G. 1 Guckenheimer, John M. ...and 73 more Co-Authors all top 5 Serials 21 Physica D 7 Journal of Differential Equations 7 SIAM Journal on Mathematical Analysis 6 Nonlinearity 6 Journal of Dynamics and Differential Equations 5 Dynamics Reported. Expositions in Dynamical Systems. New Series 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 Journal of Physics A: Mathematical and Theoretical 2 Discrete and Continuous Dynamical Systems. Series S 1 Archive for Rational Mechanics and Analysis 1 Communications on Pure and Applied Mathematics 1 Geophysical and Astrophysical Fluid Dynamics 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 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 SIAM Journal on Financial Mathematics 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 all top 5 Fields 72 Partial differential equations (35-XX) 43 Dynamical systems and ergodic theory (37-XX) 30 Ordinary differential equations (34-XX) 20 Fluid mechanics (76-XX) 16 Geophysics (86-XX) 15 Optics, electromagnetic theory (78-XX) 13 General and overarching topics; collections (00-XX) 9 Mechanics of particles and systems (70-XX) 7 Differential geometry (53-XX) 7 Global analysis, analysis on manifolds (58-XX) 7 Quantum theory (81-XX) 6 Operator theory (47-XX) 6 Numerical analysis (65-XX) 6 Classical thermodynamics, heat transfer (80-XX) 6 Biology and other natural sciences (92-XX) 5 Probability theory and stochastic processes (60-XX) 5 Statistics (62-XX) 5 Computer science (68-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 Information and communication theory, circuits (94-XX) 4 Combinatorics (05-XX) 4 Systems theory; control (93-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Geometry (51-XX) 2 Mathematical logic and foundations (03-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Relativity and gravitational theory (83-XX) 2 Astronomy and astrophysics (85-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Convex and discrete geometry (52-XX) 1 Manifolds and cell complexes (57-XX) 1 Mechanics of deformable solids (74-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 113 Publications have been cited 2,278 times in 1,546 Documents Cited by ▼ Year ▼ Geometric singular perturbation theory. Zbl 0840.58040 Jones, Christopher K. R. T. 426 1995 A topological invariant arising in the stability analysis of travelling waves. Zbl 0705.35070 Alexander, J.; Gardner, R.; Jones, C. 219 1990 Stability of the travelling wave solution of the FitzHugh-Nagumo system. Zbl 0567.35044 Jones, Christopher K. R. T. 151 1984 A probabilistic powerdomain of evaluations. Zbl 0716.06003 Jones, C.; Plotkin, G. D. 95 1989 Tracking invariant manifolds with differential forms in singularly perturbed systems. Zbl 0796.34038 Jones, C. K. R. T.; Kopell, N. 95 1994 Ultra-short pulses in linear and nonlinear media. Zbl 1125.35412 Chung, Y.; Jones, C. K. R. T.; Schäfer, T.; Wayne, C. E. 70 2005 On the infinitely many solutions of a semilinear elliptic equation. Zbl 0606.35032 Jones, C.; Küpper, T. 67 1986 Invariant manifolds for semilinear partial differential equations. Zbl 0674.58024 Bates, Peter W.; Jones, Christopher K. R. T. 64 1989 Tracking invariant manifolds up to exponentially small errors. Zbl 0871.58072 Jones, C. K. R. T.; Kaper, Tasso J.; Kopell, Nancy 56 1996 Stabilizing effects of dispersion management. Zbl 0972.78021 Zharnitsky, Vadim; Grenier, Emmanuel; Jones, Christopher K. R. T.; Turitsyn, Sergei K. 45 2001 Stability of travelling waves for non-convex scalar viscous conservation laws. Zbl 0791.35078 Jones, Christopher K. R. T.; Gardner, Robert; Kapitula, Todd 42 1993 Stability of travelling wave solutions of diffusive predator-prey systems. Zbl 0755.35056 Gardner, R.; Jones, C. K. R. T. 37 1991 Construction of the Fitzhugh-Nagumo pulse using differential forms. Zbl 0742.92008 Jones, C.; Kopell, N.; Langer, R. 37 1991 Instability of standing waves for nonlinear Schrödinger-type equations. Zbl 0636.35017 Jones, Christopher K. R. T. 36 1988 Traveling waves of a perturbed diffusion equation arising in a phase field model. Zbl 0799.35106 Gardner, R. A.; Jones, C. K. R. T. 35 1990 Invariant manifolds and singularly perturbed boundary value problems. Zbl 0813.34024 Tin, S.-K.; Kopell, N.; Jones, C. K. R. T. 34 1994 Multi-dimensional Morse index theorems and a symplectic view of elliptic boundary value problems. Zbl 1210.35056 Deng, Jian; Jones, Christopher 32 2011 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. 29 2018 A geometric proof of the Kwong-McLeod uniqueness result. Zbl 0779.35040 Clemons, C. B.; Jones, C. K. R. T. 26 1993 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. 23 2014 Spherically symmetric solutions of a reaction-diffusion equation. Zbl 0523.35059 Jones, Christopher K. R. T. 22 1983 Asymptotic behaviour of a reaction-diffusion equation in higher space dimensions. Zbl 0528.35054 Jones, Christopher K. R. T. 22 1983 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. 22 2000 A Morse index theorem for elliptic operators on bounded domains. Zbl 1335.35166 Cox, Graham; Jones, Christopher K. R. T.; Marzuola, Jeremy L. 22 2015 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 22 2016 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 Generalized exchange lemmas and orbits heteroclinic to invariant manifolds. Zbl 1362.34094 Jones, Christopher K. R. T.; Tin, Siu-Kei 20 2009 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. 20 2013 Data assimilation: mathematical and statistical perspectives. Zbl 1384.62300 Apte, A.; Jones, C. K. R. T.; Stuart, A. M.; Voss, J. 19 2008 Solitary waves of the regularized short pulse and Ostrovsky equations. Zbl 1244.34069 Costanzino, Nicola; Manukian, Vahagn; Jones, Christopher K. R. T. 19 2009 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 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. 18 1995 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. 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 An instability mechanism for radially symmetric standing waves of a nonlinear Schrödinger equation. Zbl 0656.35108 Jones, Christopher K. R. T. 16 1988 Melnikov theory for finite-time vector fields. Zbl 0962.37007 Sandstede, Björn; Balasuriya, Sanjeeva; Jones, Christopher K. R. T.; Miller, Patrick 16 2000 Electrical waves in a one-dimensional model of cardiac tissue. Zbl 1167.34364 Beck, Margaret; Jones, Christopher K. R. T.; Schaeffer, David; Wechselberger, Martin 16 2008 Existence and stability of asymptotically oscillatory double pulses. Zbl 0782.35032 Alexander, J. C.; Jones, C. K. R. T. 16 1994 A primer on the exchange lemma for fast-slow systems. Zbl 1007.34046 Kaper, Tasso J.; Jones, Christopher K. R. T. 16 2001 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. 16 2018 Settling and asymptotic motion of aerosol particles in a cellular flow field. Zbl 0841.76089 Rubin, J.; Jones, C. K. R. T.; Maxey, M. 15 1995 Nearly real fronts in a Ginzburg-Landau equation. Zbl 0708.76064 Jones, Christopher K. R. T.; Kapitula, Todd M.; Powell, James A. 15 1990 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 14 2017 The Morse and Maslov indices for matrix Hill’s equations. Zbl 1326.53118 Jones, Christopher K. R. T.; Latushkin, Yuri; Marangell, Robert 14 2013 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 Lagrangian data assimilation for point vortex systems. Zbl 1083.76531 Ide, Kayo; Kuznetsov, Leonid; Jones, Christopher K. R. T. 12 2002 Manifold decompositions and indices of Schrödinger operators. Zbl 1408.35018 Cox, Graham; Jones, Christopher K. R. T.; Marzuola, Jeremy L. 12 2017 Invariant manifolds and Lagrangian dynamics in the ocean and atmosphere. Zbl 1039.86002 Jones, Christopher; Winkler, Sean 12 2002 On stratified shear flow in sea straits of arbitrary cross section. Zbl 1141.76363 Deng, Jian; Pratt, Larry; Howard, Lou; Jones, Chris 11 2003 Localized standing waves in inhomogeneous Schrödinger equations. Zbl 1203.37118 Marangell, R.; Jones, C. K. R. T.; Susanto, H. 11 2010 Viscous perturbations of vorticity-conserving flows and separatrix splitting. Zbl 0913.76014 Balasuriya, Sanjeeva; Jones, Christopher K. R. T.; Sandstede, Björn 10 1998 Existence of standing pulse solutions to an inhomogeneous reaction-diffusion system. Zbl 0896.34041 Jones, Christopher K. R. T.; Rubin, Jonathan E. 10 1998 Existence and stability of asymptotically oscillatory triple pulses. Zbl 0817.35039 Alexander, J. C.; Jones, C. K. R. T. 10 1993 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. 9 1986 Approximation of random slow manifolds and settling of inertial particles under uncertainty. Zbl 1356.37074 Ren, Jian; Duan, Jinqiao; Jones, Christopher K. R. T. 9 2015 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 The spectrum of travelling wave solutions to the sine-Gordon equation. Zbl 1248.35136 Jones, Christopher K. R. T.; Marangell, Robert 8 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 8 1998 Instability of quasiperiodic solutions of the Ginzburg-Landau equation. Zbl 0840.35104 Doelman, A.; Gardner, R. A.; Jones, C. K. R. T. 8 1995 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 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 On conditions for rate-induced tipping in multi-dimensional dynamical systems. Zbl 1472.37029 Kiers, Claire; Jones, Christopher K. R. T. 8 2020 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. 7 2017 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 Unstable gap solitons in inhomogeneous nonlinear Schrödinger equations. Zbl 1278.35231 Marangell, R.; Susanto, H.; Jones, C. K. R. T. 6 2012 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. 6 2003 A shooting argument with oscillation for semilinear elliptic radially symmetric equations. Zbl 0671.35028 Jones, C. K. R. T.; Küpper, T.; Plakties, H. 5 1988 Jumping stable manifolds for dissipative maps of the plane. Zbl 0686.58008 Hammel, Stephen M.; Jones, Christopher K. R. T. 5 1989 Compactification for asymptotically autonomous dynamical systems: theory, applications and invariant manifolds. Zbl 1470.34089 Wieczorek, Sebastian; Xie, Chun; Jones, Chris K. R. T. 5 2021 A stability index for travelling waves in activator-inhibitor systems. Zbl 1436.35036 Cornwell, Paul; Jones, Christopher K. R. T. 5 2020 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. 4 2000 On the stability of high Lewis number combustion fronts. Zbl 1175.35014 Ghazaryan, Anna; Jones, Christopher K. R. T. 4 2009 Optimal four-dimensional codes over \(\text{GF}(8)\). Zbl 1165.94328 Jones, Chris; Matney, Angela; Ward, Harold 4 2006 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 A coherent structure approach for parameter estimation in Lagrangian data assimilation. Zbl 1378.93132 Maclean, John; Santitissadeekorn, Naratip; Jones, Christopher K. R. T. 4 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 Mixed mode oscillations in a conceptual climate model. Zbl 1364.86018 Roberts, Andrew; Widiasih, Esther; Wechselberger, Martin; Jones, Christopher K. R. T. 4 2015 Generalized Maslov indices for non-Hamiltonian systems. Zbl 1498.37023 Baird, Thomas J.; Cornwell, Paul; Cox, Graham; Jones, Christopher; Marangell, Robert 4 2022 Exponential dichotomies for elliptic PDE on radial domains. Zbl 1459.35175 Beck, Margaret; Cox, Graham; Jones, Christopher; Latushkin, Yuri; Sukhtayev, Alim 4 2020 A dynamical approach to semilinear elliptic equations. Zbl 1459.35174 Beck, Margaret; Cox, Graham; Jones, Christopher; Latushkin, Yuri; Sukhtayev, Alim 4 2021 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 3 2009 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 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 Tax arbitrage, existence of equilibrium, and bounded tax rebates. Zbl 0900.90260 Jones, Chris; Milne, Frank 3 1992 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 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. 3 2016 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 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. 3 2008 Spherical discrepancy minimization and algorithmic lower bounds for covering the sphere. Zbl 07304076 Jones, Chris; McPartlon, Matt 3 2020 An international initiative of predicting the SARS-CoV-2 pandemic using ensemble data assimilation. Zbl 1482.92096 Evensen, Geir; Amezcua, Javier; Bocquet, Marc; Carrassi, Alberto; Farchi, Alban; Fowler, Alison; Houtekamer, Pieter L.; Jones, Christopher K.; de Moraes, Rafael J.; Pulido, Manuel; Sampson, Christian; Vossepoel, Femke C. 3 2021 Modeling sea ice. Zbl 1454.86003 Golden, Kenneth M.; Bennetts, Luke G.; Cherkaev, Elena; Eisenman, Ian; Feltham, Daniel; Horvat, Christopher; Hunke, Elizabeth; Jones, Christopher; Perovich, Donald K.; Ponte-Castañeda, Pedro; Strong, Courtenay; Sulsky, Deborah; Wells, Andrew J. 3 2020 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 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 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 Dynamics reported. Expositions in dynamical systems. New series. Volume 1. Zbl 0742.00031 2 1992 Dynamics reported. Expositions in dynamical systems. New series. Volume 2. Zbl 0777.00013 2 1993 A dynamical systems approach for most probable escape paths over periodic boundaries. Zbl 1527.37051 Fleurantin, Emmanuel; Slyman, Katherine; Barker, Blake; Jones, Christopher K. R. T. 1 2023 Generalized Maslov indices for non-Hamiltonian systems. Zbl 1498.37023 Baird, Thomas J.; Cornwell, Paul; Cox, Graham; Jones, Christopher; Marangell, Robert 4 2022 Compactification for asymptotically autonomous dynamical systems: theory, applications and invariant manifolds. Zbl 1470.34089 Wieczorek, Sebastian; Xie, Chun; Jones, Chris K. R. T. 5 2021 A dynamical approach to semilinear elliptic equations. Zbl 1459.35174 Beck, Margaret; Cox, Graham; Jones, Christopher; Latushkin, Yuri; Sukhtayev, Alim 4 2021 An international initiative of predicting the SARS-CoV-2 pandemic using ensemble data assimilation. Zbl 1482.92096 Evensen, Geir; Amezcua, Javier; Bocquet, Marc; Carrassi, Alberto; Farchi, Alban; Fowler, Alison; Houtekamer, Pieter L.; Jones, Christopher K.; de Moraes, Rafael J.; Pulido, Manuel; Sampson, Christian; Vossepoel, Femke C. 3 2021 The essential spectrum of periodically stationary solutions of the complex Ginzburg-Landau equation. Zbl 1483.35234 Zweck, John; Latushkin, Yuri; Marzuola, Jeremy L.; Jones, Christopher K. R. T. 2 2021 Mass-coupled relativistic spontaneous collapse models. Zbl 1519.81409 Jones, C.; Gasbarri, G.; Bassi, A. 1 2021 On conditions for rate-induced tipping in multi-dimensional dynamical systems. Zbl 1472.37029 Kiers, Claire; Jones, Christopher K. R. T. 8 2020 A stability index for travelling waves in activator-inhibitor systems. Zbl 1436.35036 Cornwell, Paul; Jones, Christopher K. R. T. 5 2020 Exponential dichotomies for elliptic PDE on radial domains. Zbl 1459.35175 Beck, Margaret; Cox, Graham; Jones, Christopher; Latushkin, Yuri; Sukhtayev, Alim 4 2020 Spherical discrepancy minimization and algorithmic lower bounds for covering the sphere. Zbl 07304076 Jones, Chris; McPartlon, Matt 3 2020 Modeling sea ice. Zbl 1454.86003 Golden, Kenneth M.; Bennetts, Luke G.; Cherkaev, Elena; Eisenman, Ian; Feltham, Daniel; Horvat, Christopher; Hunke, Elizabeth; Jones, Christopher; Perovich, Donald K.; Ponte-Castañeda, Pedro; Strong, Courtenay; Sulsky, Deborah; Wells, Andrew J. 3 2020 Entropy solution at concave corners and ridges, and volume boundary layer tangential adaptivity. Zbl 1416.65322 Aubry, R.; Karamete, B. K.; Mestreau, E. L.; Jones, C.; Dey, S. 2 2019 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. 29 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. 16 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 14 2017 Manifold decompositions and indices of Schrödinger operators. Zbl 1408.35018 Cox, Graham; Jones, Christopher K. R. T.; Marzuola, Jeremy L. 12 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. 7 2017 A coherent structure approach for parameter estimation in Lagrangian data assimilation. Zbl 1378.93132 Maclean, John; Santitissadeekorn, Naratip; Jones, Christopher K. R. T. 4 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 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 22 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. 3 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 A Morse index theorem for elliptic operators on bounded domains. Zbl 1335.35166 Cox, Graham; Jones, Christopher K. R. T.; Marzuola, Jeremy L. 22 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. 9 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. 23 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. 20 2013 The Morse and Maslov indices for matrix Hill’s equations. Zbl 1326.53118 Jones, Christopher K. R. T.; Latushkin, Yuri; Marangell, Robert 14 2013 The spectrum of travelling wave solutions to the sine-Gordon equation. Zbl 1248.35136 Jones, Christopher K. R. T.; Marangell, Robert 8 2012 Unstable gap solitons in inhomogeneous nonlinear Schrödinger equations. Zbl 1278.35231 Marangell, R.; Susanto, H.; Jones, C. K. R. T. 6 2012 On the existence of high Lewis number combustion fronts. Zbl 1245.80008 Ghazaryan, Anna; Jones, Christopher 1 2012 Multi-dimensional Morse index theorems and a symplectic view of elliptic boundary value problems. Zbl 1210.35056 Deng, Jian; Jones, Christopher 32 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. 11 2010 Generalized exchange lemmas and orbits heteroclinic to invariant manifolds. Zbl 1362.34094 Jones, Christopher K. R. T.; Tin, Siu-Kei 20 2009 Solitary waves of the regularized short pulse and Ostrovsky equations. Zbl 1244.34069 Costanzino, Nicola; Manukian, Vahagn; Jones, Christopher K. R. T. 19 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 3 2009 Data assimilation: mathematical and statistical perspectives. Zbl 1384.62300 Apte, A.; Jones, C. K. R. T.; Stuart, A. M.; Voss, J. 19 2008 Electrical waves in a one-dimensional model of cardiac tissue. Zbl 1167.34364 Beck, Margaret; Jones, Christopher K. R. T.; Schaeffer, David; Wechselberger, Martin 16 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. 3 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. 70 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 Dispersion-managed solitons via an averaged variational principle. Zbl 1047.65084 Jackson, Russell K.; Jones, Christopher K. R. T.; Zharnitsky, Vadim 3 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 On stratified shear flow in sea straits of arbitrary cross section. Zbl 1141.76363 Deng, Jian; Pratt, Larry; Howard, Lou; Jones, Chris 11 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. 6 2003 Lagrangian data assimilation for point vortex systems. Zbl 1083.76531 Ide, Kayo; Kuznetsov, Leonid; Jones, Christopher K. R. T. 12 2002 Invariant manifolds and Lagrangian dynamics in the ocean and atmosphere. Zbl 1039.86002 Jones, Christopher; Winkler, Sean 12 2002 Stabilizing effects of dispersion management. Zbl 0972.78021 Zharnitsky, Vadim; Grenier, Emmanuel; Jones, Christopher K. R. T.; Turitsyn, Sergei K. 45 2001 A primer on the exchange lemma for fast-slow systems. Zbl 1007.34046 Kaper, Tasso J.; Jones, Christopher K. R. T. 16 2001 Bifurcation of asymmetric solutions in nonlinear optical media. Zbl 0983.37114 Jones, C. K. R. T.; Küpper, T.; Schaffner, K. 3 2001 Multiple-time-scale dynamical systems. Proceedings of the IMA workshop, Minneapolis, MN, USA, 1997-98. Zbl 0952.00030 1 2001 Whither applied nonlinear dynamics? Zbl 1047.70501 Jones, Christopher K. R. T. 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. 22 2000 Melnikov theory for finite-time vector fields. Zbl 0962.37007 Sandstede, Björn; Balasuriya, Sanjeeva; Jones, Christopher K. R. T.; Miller, Patrick 16 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. 4 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 Viscous perturbations of vorticity-conserving flows and separatrix splitting. Zbl 0913.76014 Balasuriya, Sanjeeva; Jones, Christopher K. R. T.; Sandstede, Björn 10 1998 Existence of standing pulse solutions to an inhomogeneous reaction-diffusion system. Zbl 0896.34041 Jones, Christopher K. R. T.; Rubin, Jonathan E. 10 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 8 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. 18 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 56 1996 Dynamics reported. Expositions in dynamical systems. New series. Vol. 5. Zbl 0839.00009 1 1996 Geometric singular perturbation theory. Zbl 0840.58040 Jones, Christopher K. R. T. 426 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. 18 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. 15 1995 Instability of quasiperiodic solutions of the Ginzburg-Landau equation. Zbl 0840.35104 Doelman, A.; Gardner, R. A.; Jones, C. K. R. T. 8 1995 Tracking invariant manifolds with differential forms in singularly perturbed systems. Zbl 0796.34038 Jones, C. K. R. T.; Kopell, N. 95 1994 Invariant manifolds and singularly perturbed boundary value problems. Zbl 0813.34024 Tin, S.-K.; Kopell, N.; Jones, C. K. R. T. 34 1994 Existence and stability of asymptotically oscillatory double pulses. Zbl 0782.35032 Alexander, J. C.; Jones, C. K. R. T. 16 1994 Dynamics reported. Expositions in dynamical systems. New series. Volume 3. Zbl 0782.00032 2 1994 Stability of travelling waves for non-convex scalar viscous conservation laws. Zbl 0791.35078 Jones, Christopher K. R. T.; Gardner, Robert; Kapitula, Todd 42 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 Dynamics reported. Expositions in dynamical systems. New series. Volume 2. Zbl 0777.00013 2 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 Dynamics reported. Expositions in dynamical systems. New series. Volume 1. Zbl 0742.00031 2 1992 Stability of travelling wave solutions of diffusive predator-prey systems. Zbl 0755.35056 Gardner, R.; Jones, C. K. R. T. 37 1991 Construction of the Fitzhugh-Nagumo pulse using differential forms. Zbl 0742.92008 Jones, C.; Kopell, N.; Langer, R. 37 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. 219 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. 35 1990 Nearly real fronts in a Ginzburg-Landau equation. Zbl 0708.76064 Jones, Christopher K. R. T.; Kapitula, Todd M.; Powell, James A. 15 1990 A probabilistic powerdomain of evaluations. Zbl 0716.06003 Jones, C.; Plotkin, G. D. 95 1989 Invariant manifolds for semilinear partial differential equations. Zbl 0674.58024 Bates, Peter W.; Jones, Christopher K. R. T. 64 1989 ...and 13 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,910 Authors 45 Jones, Christopher K. R. T. 42 Zumbrun, Kevin R. 32 Kühn, Christian 24 Doelman, Arjen 23 Kaper, Tasso J. 23 Wechselberger, Martin 22 Sandstede, Björn 21 Latushkin, Yuri 21 Marangell, Robert 19 Haller, George 17 Szmolyan, Peter 17 van Heijster, Peter 16 Howard, Peter 16 Liu, Weishi 15 Plaza, Ramón G. 15 Uldall Kristiansen, K. 14 Duan, Jinqiao 14 Humpherys, Jeffrey 14 Scheel, Arnd 13 Cox, Graham 13 Hupkes, Hermen Jan 13 Schecter, Stephen 12 Barker, Blake 12 Carter, Paul M. 12 Kapitula, Todd M. 12 Lee, Young-Ran 12 Sukhtayev, Alim 11 Balasuriya, Sanjeeva 11 Bates, Peter W. 11 De Maesschalck, Peter 11 Zhang, Mingji 10 Popović, Nikola 10 Rademacher, Jens Diederich Michael 10 Vo, Theodore 9 Champneys, Alan R. 9 Coclite, Giuseppe Maria 9 Di Ruvo, Lorenzo 9 Hundertmark, Dirk 9 Jeffrey, Mike R. 9 Krauskopf, Bernd 9 Li, Ji 9 Lyng, Gregory Daniel 9 Osinga, Hinke Maria 9 Shen, Jianhe 8 Bridges, Thomas J. 8 Chen, Chaonien 8 Choi, Mi-Ran 8 Derks, Gianne 8 Holzer, Matt 8 Kevrekidis, Panayotis G. 8 Lin, Guojian 8 Manukian, Vahagn 8 Sourdis, Christos 7 Beck, Margaret 7 Desroches, Mathieu 7 Du, Zengji 7 Ghazaryan, Anna R. 7 Jelbart, Samuel 7 Lafortune, Stéphane 7 Lin, Xiaobiao 7 Mezić, Igor 7 Pelinovsky, Dmitry Efimovich 7 Roquejoffre, Jean-Michel 7 Schlag, Wilhelm 7 Wiggins, Stephen R. 7 Wu, Yaping 7 Zhang, Xiang 6 Engel, Maximilian 6 Ganesh, V. 6 Haragus, Mariana 6 Jardón-Kojakhmetov, Hildeberto 6 Johnson, Mathew A. 6 Kirk, Vivien 6 Krupa, Martin 6 Marzuola, Jeremy Louis 6 Matano, Hiroshi 6 Nakanishi, Kenji 6 Nishiura, Yasumasa 6 Rubin, Jonathan E. 6 Stanislavova, Milena 6 Stuart, Andrew M. 6 Wijaya, Karunia Putra 6 Yi, Yingfei 5 Chang, Chueh-Hsin 5 Chen, Shuang 5 Chirilus-Bruckner, Martina 5 Cornwell, Paul 5 Da Silva, Paulo Ricardo 5 de Rijk, Björn 5 Feng, Baofeng 5 Franca, Matteo 5 Gardner, Robert A. 5 Ghazaryan, Anna 5 Han, Maoan 5 Hsu, Ting-Hao 5 Iaia, Joseph A. 5 Iuorio, Annalisa 5 Llibre, Jaume 5 Lu, Kening 5 Miller, Peter D. ...and 1,810 more Authors all top 5 Cited in 247 Serials 177 Journal of Differential Equations 169 Physica D 69 SIAM Journal on Applied Dynamical Systems 62 Journal of Dynamics and Differential Equations 43 Journal of Mathematical Analysis and Applications 39 Archive for Rational Mechanics and Analysis 37 Journal of Nonlinear Science 33 Nonlinearity 31 Communications in Mathematical Physics 27 Discrete and Continuous Dynamical Systems. 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Mathematics 3 International Journal of Applied and Computational Mathematics 3 SN Partial Differential Equations and Applications 2 Computers and Fluids 2 Computers & Mathematics with Applications ...and 147 more Serials all top 5 Cited in 43 Fields 923 Partial differential equations (35-XX) 516 Ordinary differential equations (34-XX) 417 Dynamical systems and ergodic theory (37-XX) 252 Biology and other natural sciences (92-XX) 187 Fluid mechanics (76-XX) 90 Numerical analysis (65-XX) 88 Optics, electromagnetic theory (78-XX) 51 Operator theory (47-XX) 50 Probability theory and stochastic processes (60-XX) 48 Mechanics of particles and systems (70-XX) 41 Geophysics (86-XX) 39 Classical thermodynamics, heat transfer (80-XX) 33 Differential geometry (53-XX) 30 Systems theory; control (93-XX) 29 Mechanics of deformable solids (74-XX) 28 Quantum theory (81-XX) 27 Global analysis, analysis on manifolds (58-XX) 26 Statistical mechanics, structure of matter (82-XX) 25 Statistics (62-XX) 23 Calculus of variations and optimal control; optimization (49-XX) 16 Difference and functional equations (39-XX) 12 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 10 Computer science (68-XX) 7 Integral equations (45-XX) 7 Information and communication theory, circuits (94-XX) 6 Approximations and expansions (41-XX) 6 Relativity and gravitational theory (83-XX) 5 General and overarching topics; collections (00-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 5 Functional analysis (46-XX) 5 Manifolds and cell complexes (57-XX) 4 Measure and integration (28-XX) 4 Operations research, mathematical programming (90-XX) 3 Algebraic topology (55-XX) 2 Combinatorics (05-XX) 2 Real functions (26-XX) 2 Special functions (33-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Astronomy and astrophysics (85-XX) 1 History and biography (01-XX) 1 Nonassociative rings and algebras (17-XX) 1 Functions of a complex variable (30-XX) 1 Abstract harmonic analysis (43-XX) Citations by Year