Nonlinearity Short Title: Nonlinearity Publisher: IOP Publishing, Bristol; London Mathematical Society, London ISSN: 0951-7715; 1361-6544/e Online: http://iopscience.iop.org/0951-7715 Comments: Journal; Indexed cover-to-cover Documents Indexed: 4,734 Publications (since 1988) References Indexed: 1,495 Publications with 53,288 References. all top 5 Latest Issues 36, No. 10 (2023) 36, No. 9 (2023) 36, No. 8 (2023) 36, No. 7 (2023) 36, No. 6 (2023) 36, No. 5 (2023) 36, No. 4 (2023) 36, No. 3 (2023) 36, No. 2 (2023) 36, No. 1 (2023) 35, No. 12 (2022) 35, No. 11 (2022) 35, No. 10 (2022) 35, No. 9 (2022) 35, No. 8 (2022) 35, No. 7 (2022) 35, No. 6 (2022) 35, No. 5 (2022) 35, No. 4 (2022) 35, No. 3 (2022) 35, No. 2 (2022) 35, No. 1 (2022) 34, No. 12 (2021) 34, No. 11 (2021) 34, No. 10 (2021) 34, No. 9 (2021) 34, No. 8 (2021) 34, No. 7 (2021) 34, No. 6 (2021) 34, No. 5 (2021) 34, No. 4 (2021) 34, No. 3 (2021) 34, No. 2 (2021) 34, No. 1 (2021) 33, No. 12 (2020) 33, No. 11 (2020) 33, No. 10 (2020) 33, No. 9 (2020) 33, No. 8 (2020) 33, No. 7 (2020) 33, No. 6 (2020) 33, No. 5 (2020) 33, No. 4 (2020) 33, No. 3 (2020) 33, No. 2 (2020) 33, No. 1 (2020) 32, No. 12 (2019) 32, No. 11 (2019) 32, No. 10 (2019) 32, No. 9 (2019) 32, No. 8 (2019) 32, No. 7 (2019) 32, No. 6 (2019) 32, No. 5 (2019) 32, No. 4 (2019) 32, No. 3 (2019) 32, No. 2 (2019) 32, No. 1 (2019) 31, No. 12 (2018) 31, No. 11 (2018) 31, No. 10 (2018) 31, No. 9 (2018) 31, No. 8 (2018) 31, No. 7 (2018) 31, No. 6 (2018) 31, No. 5 (2018) 31, No. 4 (2018) 31, No. 3 (2018) 31, No. 2 (2018) 31, No. 1 (2018) 30, No. 12 (2017) 30, No. 11 (2017) 30, No. 10 (2017) 30, No. 9 (2017) 30, No. 8 (2017) 30, No. 7 (2017) 30, No. 6 (2017) 30, No. 5 (2017) 30, No. 4 (2017) 30, No. 3 (2017) 30, No. 2 (2017) 30, No. 1 (2017) 29, No. 12 (2016) 29, No. 11 (2016) 29, No. 10 (2016) 29, No. 9 (2016) 29, No. 8 (2016) 29, No. 7 (2016) 29, No. 6 (2016) 29, No. 5 (2016) 29, No. 4 (2016) 29, No. 3 (2016) 29, No. 2 (2016) 29, No. 1 (2016) 28, No. 12 (2015) 28, No. 11 (2015) 28, No. 10 (2015) 28, No. 9 (2015) 28, No. 8 (2015) 28, No. 7 (2015) ...and 212 more Volumes all top 5 Authors 30 MacKay, Robert Sinclair 21 Krauskopf, Bernd 20 Kukavica, Igor 19 Titi, Edriss Saleh 19 Zakrzewski, Wojciech J. 18 Gibbon, John D. 18 Llibre, Jaume 17 Ashwin, Peter 17 Melbourne, Ian 17 Vivaldi, Franco 16 Bunimovich, Leonid Abramovich 16 Eckmann, Jean-Pierre 16 Kevrekidis, Panayotis G. 16 Simó, Carles 15 Broer, Henk W. 15 Constantin, Peter 15 Majda, Andrew J. 15 Pelinovsky, Dmitry Efimovich 14 Díaz, Lorenzo Justiniano 14 Fokas, Athanassios S. 14 Meiss, James D. 14 Robinson, James Cooper 14 Ryzhik, Lenya 14 Turaev, Dmitry V. 14 Vaienti, Sandro 13 Bizoń, Piotr 13 Glendinning, Paul Alexander 12 Collet, Pierre 12 de la Llave, Rafael 12 Golubitsky, Martin A. 12 Keller, Gerhard 12 Wu, Jiahong 11 Dullin, Holger R. 11 Forrester, Peter J. 11 Froyland, Gary 11 Joshi, Nalini 11 Keating, Jonathan Peter 11 Lamb, Jeroen S. W. 11 Scheel, Arnd 11 Troubetzkoy, Serge Eugene 11 Winkler, Michael 11 Yagasaki, Kazuyuki 10 Afraimovich, Valentin S. 10 Dias, Ana Paula S. 10 Galatolo, Stefano 10 Gonchenko, Sergey V. 10 Holm, Darryl Dallas 10 King, John Robert 10 Li, Wenxia 10 Nicol, Matthew 10 Sandstede, Björn 10 Sutcliffe, Paul Michael 10 Urbański, Mariusz 10 Young, Lai-Sang 9 Bahsoun, Wael 9 Baladi, Viviane 9 Barreira, Luis Manuel 9 Blank, Michael 9 Chae, Dongho 9 Chazottes, Jean-René 9 Cvitanović, Predrag 9 Gelfreich, Vassili 9 Knobloch, Edgar 9 Lebowitz, Joel Louis 9 Lenells, Jonatan 9 Marmi, Stefano 9 Oprocha, Piotr 9 Osinga, Hinke Maria 9 Piette, Bernard M. A. G. 9 Rand, David A. 9 Saut, Jean-Claude 9 Speight, James Martin 9 Stewart, Ian Nicholas 9 Takahasi, Hiroki 9 Witte, Nicholas S. 9 Yorke, James Alan 8 Ablowitz, Mark Jay 8 Bambusi, Dario 8 Bruin, Henk 8 Champneys, Alan R. 8 Dumortier, Freddy 8 Feireisl, Eduard 8 Ha, Seung-Yeal 8 Haydn, Nicolai T. A. 8 Kevrekidis, Ioannis George 8 Kiriki, Shin 8 Kong, Derong 8 Levi, Mark L. 8 Martín de Diego, David 8 Montgomery, Richard 8 Nakano, Yushi 8 Neĭshtadt, Anatoliĭ Iserovich 8 Ozorio de Almeida, Alfredo M. 8 Pego, Robert L. 8 Pollicott, Mark 8 Wei, Juncheng 8 Zgliczyński, Piotr 8 Ziane, Mohammed 7 Avrutin, Viktor 7 Berry, Michael Victor ...and 5,461 more Authors all top 5 Fields 2,457 Dynamical systems and ergodic theory (37-XX) 1,881 Partial differential equations (35-XX) 756 Ordinary differential equations (34-XX) 705 Fluid mechanics (76-XX) 375 Mechanics of particles and systems (70-XX) 328 Statistical mechanics, structure of matter (82-XX) 309 Biology and other natural sciences (92-XX) 308 Probability theory and stochastic processes (60-XX) 259 Quantum theory (81-XX) 238 Measure and integration (28-XX) 194 Numerical analysis (65-XX) 171 Global analysis, analysis on manifolds (58-XX) 136 Differential geometry (53-XX) 115 Number theory (11-XX) 111 Operator theory (47-XX) 103 Calculus of variations and optimal control; optimization (49-XX) 102 Mechanics of deformable solids (74-XX) 92 General topology (54-XX) 89 Difference and functional equations (39-XX) 81 Optics, electromagnetic theory (78-XX) 75 Functions of a complex variable (30-XX) 72 Geophysics (86-XX) 64 Systems theory; control (93-XX) 54 Special functions (33-XX) 52 Integral equations (45-XX) 47 Classical thermodynamics, heat transfer (80-XX) 45 Linear and multilinear algebra; matrix theory (15-XX) 45 Real functions (26-XX) 42 Functional analysis (46-XX) 42 Manifolds and cell complexes (57-XX) 37 Harmonic analysis on Euclidean spaces (42-XX) 36 Computer science (68-XX) 32 Combinatorics (05-XX) 32 Algebraic geometry (14-XX) 31 Information and communication theory, circuits (94-XX) 27 Approximations and expansions (41-XX) 22 Several complex variables and analytic spaces (32-XX) 20 Statistics (62-XX) 18 Convex and discrete geometry (52-XX) 16 Topological groups, Lie groups (22-XX) 15 Relativity and gravitational theory (83-XX) 15 Operations research, mathematical programming (90-XX) 14 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 13 Potential theory (31-XX) 12 Group theory and generalizations (20-XX) 9 Integral transforms, operational calculus (44-XX) 8 Mathematical logic and foundations (03-XX) 8 Commutative algebra (13-XX) 8 Astronomy and astrophysics (85-XX) 7 Nonassociative rings and algebras (17-XX) 6 Sequences, series, summability (40-XX) 5 Algebraic topology (55-XX) 4 Field theory and polynomials (12-XX) 4 Associative rings and algebras (16-XX) 4 Geometry (51-XX) 1 General and overarching topics; collections (00-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 4,077 Publications have been cited 50,249 times in 33,206 Documents Cited by ▼ Year ▼ Formation of strong fronts in the 2-D quasigeostrophic thermal active scalar. Zbl 0809.35057Constantin, Peter; Majda, Andrew J.; Tabak, Esteban 333 1994 On the equations of the large-scale ocean. Zbl 0766.35039Lions, Jacques-Louis; Temam, Roger; Wang, Shouhong 228 1992 Inverse scattering transform for the integrable nonlocal nonlinear Schrödinger equation. Zbl 1338.37099Ablowitz, Mark J.; Musslimani, Ziad H. 210 2016 New formulations of the primitive equations of atmosphere and applications. Zbl 0746.76019Lions, Jacques Louis; Temam, Roger; Wang, Shouhong 206 1992 Proof of existence of breathers for time-reversible or Hamiltonian networks of weakly coupled oscillators. Zbl 0811.70017MacKay, R. S.; Aubry, S. 189 1994 A reaction-diffusion SIS epidemic model in a time-periodic environment. Zbl 1250.35172Peng, Rui; Zhao, Xiao-Qiang 169 2012 Ground state of scalar field equations involving a fractional Laplacian with general nonlinearity. Zbl 1276.35080Chang, X; Wang, Z.-Q. 165 2013 Sensitive dependence on initial conditions. Zbl 0790.58025Glasner, Eli; Weiss, Benjamin 163 1993 Finite-time blow-up in a quasilinear system of chemotaxis. Zbl 1136.92006Cieślak, Tomasz; Winkler, Michael 158 2008 Nonlinear modelling of cancer: bridging the gap between cells and tumours. Zbl 1181.92046Lowengrub, J. S.; Frieboes, H. B.; Jin, F.; Chuang, Y-L; Li, X.; Macklin, P.; Wise, S. M.; Cristini, V. 154 2010 The Cauchy problem for the Novikov equation. Zbl 1232.35145Himonas, A. Alexandrou; Holliman, Curtis 149 2012 Inertial energy dissipation for weak solutions of incompressible Euler and Navier-Stokes equations. Zbl 1009.35062Duchon, Jean; Robert, Raoul 147 2000 Systems of differential equations which are competitive or cooperative. III: Competing species. Zbl 0658.34024Hirsch, Morris W. 147 1988 Chimera states: coexistence of coherence and incoherence in networks of coupled oscillators. Zbl 1392.34036Panaggio, Mark J.; Abrams, Daniel M. 144 2015 Existence of travelling wave solutions in delayed reaction-diffusion systems with applications to diffusion-competition systems. Zbl 1103.35049Li, Wantong; Lin, Guo; Ruan, Shigui 142 2006 Energy conservation and Onsager’s conjecture for the Euler equations. Zbl 1138.76020Cheskidov, A.; Constantin, P.; Friedlander, S.; Shvydkoy, R. 136 2008 Boussinesq equations and other systems for small-amplitude long waves in nonlinear dispersive media. II: The nonlinear theory. Zbl 1059.35103Bona, J. L.; Chen, M.; Saut, J.-C. 134 2004 Li-Yorke sensitivity. Zbl 1045.37004Akin, Ethan; Kolyada, Sergiĭ 129 2003 On the regularity of the solutions of the Navier-Stokes equations via one velocity component. Zbl 1190.35179Zhou, Yong; Pokorný, Milan 128 2010 The non-local Fisher-KPP equation: travelling waves and steady states. Zbl 1195.35088Berestycki, Henri; Nadin, Grégoire; Perthame, Benoit; Ryzhik, Lenya 128 2009 Generic properties and problems of minimizing measures of Lagrangian systems. Zbl 0886.58037Mañé, Ricardo 119 1996 Symplectic integration of Hamiltonian systems. Zbl 0704.65052Channell, P. J.; Scovel, C. 119 1990 The nonlinear Schrödinger equation on the half-line. Zbl 1181.37095Fokas, A. S.; Its, A. R.; Sung, L.-Y. 114 2005 Stability in Cohen-Grossberg-type bidirectional associative memory neural networks with time-varying delays. Zbl 1118.37038Cao, Jinde; Song, Qiankun 114 2006 On the extension of the Painlevé property to difference equations. Zbl 0956.39003Ablowitz, M. J.; Halburd, R.; Herbst, B. 113 2000 Blow-up in multidimensional aggregation equations with mildly singular interaction kernels. Zbl 1194.35053Bertozzi, Andrea L.; Carrillo, José A.; Laurent, Thomas 113 2009 From attractor to chaotic saddle: A tale of transverse instability. Zbl 0887.58034Ashwin, Peter; Buescu, Jorge; Stewart, Ian 112 1996 Stabilization in a two-species chemotaxis system with a logistic source. Zbl 1260.92014Tello, J. I.; Winkler, M. 112 2012 A gradient structure for reaction-diffusion systems and for energy-drift-diffusion systems. Zbl 1227.35161Mielke, Alexander 112 2011 Ratio-dependent predator-prey model: effect of environmental fluctuation and stability. Zbl 1078.34035Bandyopadhyay, M.; Chattopadhyay, J. 111 2005 On the vanishing viscosity limit for the 2D incompressible Navier-Stokes equations with the friction type boundary conditions. Zbl 0911.76014Clopeau, Thierry; Mikelić, Andro; Robert, Raoul 108 1998 Extracting macroscopic dynamics: model problems and algorithms. Zbl 1073.82038Givon, Dror; Kupferman, Raz; Stuart, Andrew 106 2004 On the nonexistence, existence and uniqueness of limit cycles. Zbl 0886.58087Giacomini, H.; Llibre, J.; Viano, M. 105 1996 Integrable multidimensional versions of the nonlocal nonlinear Schrödinger equation. Zbl 1339.37066Fokas, A. S. 104 2016 Recycling of strange sets. I: Cycle expansions. II: Applications. Zbl 0702.58064Artuso, Roberto; Aurell, Erik; Cvitanović, Predrag 102 1990 Quantitative perturbative study of convergence to equilibrium for collisional kinetic models in the torus. Zbl 1169.82306Mouhot, Clément; Neumann, Lukas 101 2006 Pattern formation in the one-dimensional Gray-Scott model. Zbl 0905.35044Doelman, Arjen; Kaper, Tasso J.; Zegeling, Paul A. 100 1997 A free boundary problem for a predator-prey model. Zbl 1126.35111Lin, Zhigui 100 2007 Low-dimensional behaviour in the complex Ginzburg-Landau equation. Zbl 0655.58021Doering, Charles R.; Gibbon, John D.; Holm, Darryl D.; Nicolaenko, Basil 99 1988 One component regularity for the Navier-Stokes equations. Zbl 1149.35069Kukavica, Igor; Ziane, Mohammed 97 2006 The boundedness-by-entropy method for cross-diffusion systems. Zbl 1326.35175Jüngel, Ansgar 97 2015 Existence of ground states for a modified nonlinear Schrödinger equation. Zbl 1189.35316Ruiz, David; Siciliano, Gaetano 94 2010 Ground states for fractional Schrödinger equations with critical growth. Zbl 1287.35027Shang, Xudong; Zhang, Jihui 94 2014 Stronger forms of sensitivity for dynamical systems. Zbl 1132.54023Moothathu, T. K. Subrahmonian 93 2007 Smooth attractors for strongly damped wave equations. Zbl 1113.35023Pata, Vittorino; Zelik, Sergey 91 2006 Double phase transonic flow problems with variable growth: nonlinear patterns and stationary waves. Zbl 1419.35056Bahrouni, Anouar; Rădulescu, Vicenţiu D.; Repovš, Dušan D. 90 2019 On the initial value problem for the Davey-Stewartson systems. Zbl 0727.35111Ghidaglia, Jean-Michel; Saut, Jean-Claude 89 1990 Spacetime chaos in coupled map lattices. Zbl 0679.58028Bunimovich, L. A.; Sinaj, Ya. G. 89 1988 Ruelle-Perron-Frobenius spectrum for Anosov maps. Zbl 1021.37015Blank, Michael; Keller, Gerhard; Liverani, Carlangelo 87 2002 Large deviations estimates for dynamical systems without the specification property. Application to the \(\beta\)-shifts. Zbl 1069.60029Pfister, C.-E.; Sullivan, W. G. 86 2005 On stationary patterns of a reaction-diffusion model with autocatalysis and saturation law. Zbl 1148.35094Peng, Rui; Shi, Junping; Wang, Mingxin 86 2008 Swarm dynamics and equilibria for a nonlocal aggregation model. Zbl 1288.92031Fetecau, R. C.; Huang, Y.; Kolokolnikov, T. 86 2011 Solitary waves on FPU lattices. I: Qualitative properties, renormalization and continuum limit. Zbl 0962.82015Friesecke, G.; Pego, R. L. 86 1999 Multiplicity of solutions for a class of quasilinear Kirchhoff system involving the fractional \(p\)-Laplacian. Zbl 1349.35413Xiang, Mingqi; Zhang, Binlin; Rădulescu, Vicenţiu D. 86 2016 Attractors for modulation equations on unbounded domains – existence and comparison. Zbl 0833.35016Mielke, Alexander; Schneider, Guido 85 1995 Nonlocal Kirchhoff diffusion problems: local existence and blow-up of solutions. Zbl 1393.35090Mingqi, Xiang; Rădulescu, Vicenţiu D.; Zhang, Binlin 85 2018 On the regularity of the primitive equations of the ocean. Zbl 1136.35069Kukavica, Igor; Ziane, Mohammed 82 2007 Gap solitons in periodic discrete nonlinear Schrödinger equations. Zbl 1220.35163Pankov, A. 82 2006 An extension of integrable peakon equations with cubic nonlinearity. Zbl 1171.37331Geng, Xianguo; Xue, Bo 82 2009 Inverse scattering transform for the Degasperis-Procesi equation. Zbl 1211.37081Constantin, Adrian; Ivanov, Rossen I.; Lenells, Jonatan 82 2010 Delay-dependent stability of neural networks of neutral type with time delay in the leakage term. Zbl 1196.82102Li, Xiaodi; Cao, Jinde 81 2010 Ground states and concentration phenomena for the fractional Schrödinger equation. Zbl 1320.35320Fall, Mouhamed Moustapha; Mahmoudi, Fethi; Valdinoci, Enrico 79 2015 Attractors for non-compact semigroups via energy equations. Zbl 0914.35023Moise, Ioana; Rosa, Ricardo; Wang, Xiaoming 78 1998 Synchronization of delayed chaotic systems with parameter mismatches by using intermittent linear state feedback. Zbl 1167.34386Huang, Tingwen; Li, Chuandong; Yu, Wenwu; Chen, Guanrong 76 2009 Excitation thresholds for nonlinear localized modes on lattices. Zbl 0984.35147Weinstein, M. I. 75 1999 Local and global well-posedness for aggregation equations and Patlak-Keller-Segel models with degenerate diffusion. Zbl 1222.49038Bedrossian, Jacob; Rodríguez, Nancy; Bertozzi, Andrea L. 75 2011 Infinitely many solutions for the stationary Kirchhoff problems involving the fractional \(p\)-Laplacian. Zbl 1334.35406Xiang, Mingqi; Molica Bisci, Giovanni; Tian, Guohua; Zhang, Binlin 74 2016 Higher order averaging theory for finding periodic solutions via Brouwer degree. Zbl 1291.34077Llibre, Jaume; Novaes, Douglas D.; Teixeira, Marco A. 74 2014 Determining nodes, finite differences schemes and inertial manifolds. Zbl 0714.34078Foias, Ciprian; Titi, Edriss S. 73 1991 Synchronization in networks of nonlinear dynamical systems coupled via a directed graph. Zbl 1089.37024Wu, Chai Wah 71 2005 Nonlinear dynamics and statistical physics of DNA. Zbl 1092.82015Peyrard, Michel 71 2004 Nonlinear modulation of gravity waves: A region approach. Zbl 0742.76012Craig, W.; Sulem, C.; Sulem, P. L. 71 1992 An analytical approach to the Schrödinger-Newton equations. Zbl 0942.35077Tod, Paul; Moroz, Irene M. 71 1999 Planar systems of piecewise linear differential equations with a line of discontinuity. Zbl 1003.34009Giannakopoulos, Fotios; Pliete, Karin 70 2001 Continuous data assimilation for the three-dimensional Brinkman-Forchheimer-extended Darcy model. Zbl 1339.35246Markowich, Peter A.; Titi, Edriss S.; Trabelsi, Saber 69 2016 Travelling wave solutions for an infection-age structured epidemic model with external supplies. Zbl 1227.92044Ducrot, Arnaud; Magal, Pierre 69 2011 Stability and instability results for standing waves of quasi-linear Schrödinger equations. Zbl 1192.35163Colin, Mathieu; Jeanjean, Louis; Squassina, Marco 69 2010 Nonlinear waves in Bose-Einstein condensates: physical relevance and mathematical techniques. Zbl 1216.82023Carretero-González, R.; Frantzeskakis, D. J.; Kevrekidis, P. G. 68 2008 The two loop soliton solution of the Vakhnenko equation. Zbl 0914.35115Vakhnenko, V. O.; Parkes, E. J. 68 1998 A review of linear response theory for general differentiable dynamical systems. Zbl 1158.37305Ruelle, David 68 2009 Yang-Mills fields on quaternionic spaces. Zbl 0681.53037Mamone Capria, M.; Salamon, S. M. 68 1988 The accuracy of symplectic integrators. Zbl 0747.58032McLachlan, Robert I.; Atela, Pau 67 1992 A modified-Leray-\(\alpha\) subgrid scale model of turbulence. Zbl 1106.35050Ilyin, Alexei A.; Lunasin, Evelyn M.; Titi, Edriss S. 67 2006 Large scale front dynamics for turbulent reaction-diffusion equations with separated velocity scales. Zbl 0839.76093Majda, Andrew J.; Souganidis, Panagiotis E. 67 1994 Universality in blow-up for nonlinear heat equations. Zbl 0857.35018Bricmont, J.; Kupiainen, A. 67 1994 Global solution for a chemotactic-haptotactic model of cancer invasion. Zbl 1160.35431Tao, Youshan; Wang, Mingjun 66 2008 Asymptotic stability of solitons of the subcritical gKdV equations revisited. Zbl 1064.35171Martel, Yvan; Merle, Frank 66 2005 Connecting orbits and invariant manifolds in the spatial restricted three-body problem. Zbl 1115.70007Gómez, G.; Koon, W. S.; Lo, M. W.; Marsden, J. E.; Masdemont, J.; Ross, S. D. 66 2004 Eleven small limit cycles in a cubic vector field. Zbl 0837.34042Żołądek, Henryk 66 1995 Ultra-short pulses in linear and nonlinear media. Zbl 1125.35412Chung, Y.; Jones, C. K. R. T.; Schäfer, T.; Wayne, C. E. 65 2005 Superlinear nonlocal fractional problems with infinitely many solutions. Zbl 1322.35158Zhang, Binlin; Molica Bisci, Giovanni; Servadei, Raffaella 65 2015 Finite-time aggregation into a single point in a reaction-diffusion system. Zbl 0909.35071Herrero, M. A.; Medina, E.; Velázquez, J. J. L. 65 1997 KAM theory without action-angle variables. Zbl 1067.37081de la Llave, R.; González, A.; Jorba, À.; Villanueva, J. 64 2005 On the 2D Zakharov system with \(L^{2}\) Schrödinger data. Zbl 1173.35651Bejenaru, I.; Herr, S.; Holmer, J.; Tataru, D. 64 2009 A critical blow-up exponent in a chemotaxis system with nonlinear signal production. Zbl 1391.35240Winkler, Michael 64 2018 Extending slow manifolds near transcritical and pitchfork singularities. Zbl 0998.34039Krupa, M.; Szmolyan, P. 63 2001 Recent progress in understanding the transition to turbulence in pipe. Zbl 1084.76033Kerswell, R. R. 63 2005 Cubic Liénard equations with linear damping. Zbl 0716.58023Dumortier, Freddy; Rousseau, Christiane 63 1990 A phase field formulation of the Willmore problem. Zbl 1125.35366Du, Qiang; Liu, Chun; Ryham, Rolf; Wang, Xiaoqiang 62 2005 Boundedness in a chemotaxis-haptotaxis model with nonlinear diffusion. Zbl 1338.35438Li, Yan; Lankeit, Johannes 62 2016 The smallest bimolecular mass action reaction networks admitting Andronov-Hopf bifurcation. Zbl 1514.34075Banaji, Murad; Boros, Balázs 4 2023 Elliptic generalisation of integrable \(q\)-deformed anisotropic Haldane-shastry long-range spin chain. Zbl 07632644Matushko, M.; Zotov, A. 2 2023 Wronskian structures of planar symplectic ensembles. Zbl 1505.60009Byun, Sung-Soo; Ebke, Markus; Seo, Seong-Mi 2 2023 On the efficient global dynamics of Newton’s method for complex polynomials. Zbl 07646813Schleicher, Dierk 2 2023 Exponential moments for disk counting statistics of random normal matrices in the critical regime. Zbl 07650619Charlier, Christophe; Lenells, Jonatan 2 2023 Generalized Hardy operators. Zbl 1504.35012Bui, The Anh; D’Ancona, Piero 1 2023 Active vector models generalising 3D Euler and electron-MHD equations. Zbl 1513.76166Chae, Dongho; Jeong, In-Jee 1 2023 Local-in-time existence of a free-surface 3D Euler flow with \(H^{2+\delta}\) initial vorticity in a neighborhood of the free boundary. Zbl 1511.35264Kukavica, I.; Ożański, W. S. 1 2023 Shape analysis via gradient flows on diffeomorphism groups. Zbl 07641222Balehowsky, Tracey; Karlsson, Carl-Joar; Modin, Klas 1 2023 Depinning transition of travelling waves for particle chains. Zbl 07641223Baesens, C.; MacKay, R. S.; Qin, W.-X.; Zhou, T. 1 2023 The stability of the \(b\)-family of peakon equations. Zbl 1506.35013Charalampidis, Efstathios G.; Parker, Ross; Kevrekidis, Panayotis G.; Lafortune, Stéphane 1 2023 Solvability and pullback attractor for a class of differential hemivariational inequalities with its applications. Zbl 07646812Li, Xiuwen; Liu, Zhenhai; Papageorgiou, Nikolaos S. 1 2023 Dynamical Borel-Cantelli lemma for recurrence under Lipschitz twists. Zbl 1514.37013Kleinbock, Dmitry; Zheng, Jiajie 1 2023 Non-reversible processes: GENERIC, hypocoercivity and fluctuations. Zbl 1516.35410Duong, M. H.; Ottobre, M. 1 2023 Nonlinear stability of the two-jet Kolmogorov type flow on the unit sphere under a perturbation with nondissipative part. Zbl 1507.35146Miura, Tatsu-Hiko 1 2023 Classification of solutions of the 2D steady Navier-Stokes equations with separated variables in cone-like domains. Zbl 1514.35326Wang, Wendong; Wu, Jie 1 2023 Infinite WARM graphs III: strong reinforcement regime. Zbl 07682264Hirsch, Christian; Holmes, Mark; Kleptsyn, Victor 1 2023 Periodic solutions of the non-chiral intermediate Heisenberg ferromagnet equation described by elliptic spin Calogero-Moser dynamics. Zbl 07690490Berntson, Bjorn K.; Klabbers, Rob 1 2023 Time periodic solutions to Hibler’s sea ice model. Zbl 1516.35417Brandt, Felix; Hieber, Matthias 1 2023 Asymptotic dynamics of Hamiltonian polymatrix replicators. Zbl 07690494Najafi Alishah, Hassan; Duarte, Pedro; Peixe, Telmo 1 2023 Quenched decay of correlations for nonuniformly hyperbolic random maps with an ergodic driving system. Zbl 07690497Alves, José F.; Bahsoun, Wael; Ruziboev, Marks; Varandas, Paulo 1 2023 Partial degeneration of finite gap solutions to the Korteweg-de Vries equation: soliton gas and scattering on elliptic backgrounds. Zbl 1516.35368Bertola, M.; Jenkins, R.; Tovbis, A. 1 2023 On zeros and spectral property of self-affine measures. Zbl 07707718Wang, Zhi-Yong; Liu, Jing-Cheng; Dong, Xin-Han 1 2023 Chaotic dynamics in refraction galactic billiards. Zbl 07707719Barutello, Vivina L.; De Blasi, Irene; Terracini, Susanna 1 2023 Network dynamics with higher-order interactions: coupled cell hypernetworks for identical cells and synchrony. Zbl 07726807Aguiar, Manuela; Bick, Christian; Dias, Ana 1 2023 Learning strange attractors with reservoir systems. Zbl 07726808Grigoryeva, Lyudmila; Hart, Allen; Ortega, Juan-Pablo 1 2023 Cramér distance and discretisations of circle expanding maps. I: Theory. Zbl 07726813Guihéneuf, Pierre-Antoine; Monge, Maurizio 1 2023 Rate of convergence in periodic homogenization for convex Hamilton-Jacobi equations with multiscales. Zbl 07735423Han, Yuxi; Jang, Jiwoong 1 2023 Algorithms for solving high dimensional PDEs: from nonlinear Monte Carlo to machine learning. Zbl 1490.60202E, Weinan; Han, Jiequn; Jentzen, Arnulf 20 2022 Turnpike in Lipschitz-nonlinear optimal control. Zbl 1484.49006Esteve-Yagüe, Carlos; Geshkovski, Borjan; Pighin, Dario; Zuazua, Enrique 9 2022 Global dynamics of a Lotka-Volterra competition patch model. Zbl 1480.92167Chen, Shanshan; Shi, Junping; Shuai, Zhisheng; Wu, Yixiang 6 2022 Global boundedness of solutions to a parabolic-parabolic chemotaxis system with local sensing in higher dimensions. Zbl 1497.35475Fujie, Kentaro; Senba, Takasi 5 2022 Global bifurcation diagrams of positive solutions for a class of 1D superlinear indefinite problems. Zbl 1492.34020Fencl, M.; López-Gómez, J. 4 2022 Spectral Moran measures on \(\mathbb{R}^2\). Zbl 1497.42019Yan, Zhi-Hui 4 2022 Stability and bifurcation phenomena in asymptotically Hamiltonian systems. Zbl 1502.37067Sultanov, Oskar A. 4 2022 Unstable entropies and dimension theory of partially hyperbolic systems. Zbl 1487.37041Tian, Xueting; Wu, Weisheng 4 2022 Global weak solutions to fully cross-diffusive systems with nonlinear diffusion and saturated taxis sensitivity. Zbl 1481.35253Fuest, Mario 4 2022 On the stability of solitary wave solutions for a generalized fractional Benjamin-Bona-Mahony equation. Zbl 1482.76055Oruc, Goksu; Natali, Fábio; Borluk, Handan; Muslu, Gulcin M. 3 2022 On the modified fractional Korteweg-de Vries and related equations. Zbl 07471636Klein, Christian; Saut, Jean-Claude; Wang, Yuexun 3 2022 Stability of cycling behaviour near a heteroclinic network model of rock-paper-scissors-lizard-spock. Zbl 1495.37020Postlethwaite, Claire M.; Rucklidge, Alastair M. 3 2022 Regularity and upper semicontinuity of pullback attractors for non-autonomous Rao-Nakra beam. Zbl 1498.37117Aouadi, Moncef 3 2022 Center manifolds without a phase space for quasilinear problems in elasticity, biology, and hydrodynamics. Zbl 1485.35210Chen, Robin Ming; Walsh, Samuel; Wheeler, Miles H. 3 2022 Averaging of dispersion managed nonlinear Schrödinger equations. Zbl 1490.35404Choi, Mi-Ran; Lee, Young-Ran 3 2022 Historic wandering domains near cycles. Zbl 07539301Barrientos, Pablo G. 3 2022 Global well-posedness for axisymmetric MHD equations with vertical dissipation and vertical magnetic diffusion. Zbl 1506.35176Wang, Peng; Guo, Zhengguang 3 2022 Spectral stability of pattern-forming fronts in the complex Ginzburg-Landau equation with a quenching mechanism. Zbl 1482.35036Goh, Ryan; de Rijk, Björn 3 2022 Weighted \(L^2\)-contractivity of Langevin dynamics with singular potentials. Zbl 1490.35496Camrud, Evan; Herzog, David P.; Stoltz, Gabriel; Gordina, Maria 3 2022 Derivation of ensemble Kalman-Bucy filters with unbounded nonlinear coefficients. Zbl 1490.60093Lange, Theresa 3 2022 ADHM skyrmions. Zbl 1513.70096Cork, Josh; Halcrow, Chris 3 2022 Dimension of the singular set of wild Hölder solutions of the incompressible Euler equations. Zbl 1497.35352De Rosa, Luigi; Haffter, Silja 3 2022 Quasi-graphs, zero entropy and measures with discrete spectrum. Zbl 07479718Li, Jian; Oprocha, Piotr; Zhang, Guohua 2 2022 Hyperbolic approximation of the BBM equation. Zbl 1485.35291Gavrilyuk, Sergey; Shyue, Keh-Ming 2 2022 Functional limit theorems for Volterra processes and applications to homogenization. Zbl 1486.60063Gehringer, Johann; Li, Xue-Mei; Sieber, Julian 2 2022 KdV on an incoming tide. Zbl 1479.35737Laurens, Thierry 2 2022 Singular solutions of the BBM equation: analytical and numerical study. Zbl 1479.35194Gavrilyuk, Sergey; Shyue, Keh-Ming 2 2022 Generic properties of free boundary problems in plasma physics. Zbl 1486.35033Bartolucci, Daniele; Hu, Yeyao; Jevnikar, Aleks; Yang, Wen 2 2022 Vectorial variational problems in \(L^\infty\) constrained by the Navier-Stokes equations. Zbl 1481.35307Clark, Ed; Katzourakis, Nikos; Muha, Boris 2 2022 Global attractivity for a nonautonomous Nicholson’s equation with mixed monotonicities. Zbl 1493.34220Faria, Teresa; Prates, Henrique C. 2 2022 Radial solutions to a chemotaxis-consumption model involving prescribed signal concentrations on the boundary. Zbl 1481.35023Lankeit, Johannes; Winkler, Michael 2 2022 Maximal mixed parabolic-hyperbolic regularity for the full equations of multicomponent fluid dynamics. Zbl 1504.35310Druet, Pierre-Etienne 2 2022 Gap sequences and topological properties of Bedford-McMullen sets. Zbl 1515.28014Liang, Zhen; Miao, Jun Jie; Ruan, Huo-Jun 2 2022 A multiple time renewal equation for neural assemblies with elapsed time model. Zbl 1501.35398Torres, Nicolás; Perthame, Benoît; Salort, Delphine 2 2022 Dispersive effects in a scalar nonlocal wave equation inspired by peridynamics. Zbl 1503.74055Coclite, Giuseppe Maria; Dipierro, Serena; Fanizza, Giuseppe; Maddalena, Francesco; Valdinoci, Enrico 2 2022 On matrix Painlevé-4 equations. Zbl 1512.34165Bobrova, I. A.; Sokolov, V. V. 2 2022 Lower bound in Pesin formula of \(C^1\) interval maps. Zbl 1491.37037Liao, Gang 1 2022 Mathematical reformulation of the Kolmogorov-Richardson energy cascade in terms of vortex stretching. Zbl 1482.76057Yoneda, Tsuyoshi; Goto, Susumu; Tsuruhashi, Tomonori 1 2022 How likely can a point be in different Cantor sets. Zbl 1498.28004Jiang, Kan; Kong, Derong; Li, Wenxia 1 2022 Variational existence proof for multiple periodic orbits in the planar circular restricted three-body problem. Zbl 1513.70039Kajihara, Yuika; Shibayama, Mitsuru 1 2022 Ultradiscrete analogue of the van der Pol equation. Zbl 1495.37015Isojima, Shin; Suzuki, Seiichiro 1 2022 Microscopic patterns in the 2D phase-field-crystal model. Zbl 1483.65205Martine-La Boissonière, Gabriel; Choksi, Rustum; Lessard, Jean-Philippe 1 2022 Inverse variational principles for control systems. Zbl 1485.93248Wang, Tao; Huang, Yu 1 2022 On a 1D model with nonlocal interactions and mass concentrations: an analytical-numerical approach*. Zbl 1490.35293Abreu, E.; Ferreira, L. C. F.; Galeano, J.; Pérez, J. 1 2022 Non-singular Morse-Smale flows on \(n\)-manifolds with attractor-repeller dynamics. Zbl 1498.37029Pochinka, O. V.; Shubin, D. D. 1 2022 Quasilinear Schrödinger equations involving singular potentials. Zbl 1485.35143Jing, Yongtao; Liu, Haidong; Liu, Zhaoli 1 2022 Periodic points and shadowing for generic Lebesgue measure-preserving interval maps. Zbl 1504.37043Bobok, Jozef; Činč, Jernej; Oprocha, Piotr; Troubetzkoy, Serge 1 2022 Non relativistic and ultra relativistic limits in 2D stochastic nonlinear damped Klein-Gordon equation. Zbl 1491.35293Fukuizumi, Reika; Hoshino, Masato; Inui, Takahisa 1 2022 Global hypersurfaces of section in the spatial restricted three-body problem. Zbl 1502.37066Moreno, Agustin; van Koert, Otto 1 2022 Bi-Hamiltonian structure of Sutherland models coupled to two \(\mathfrak{u}(n)^*\)-valued spins from Poisson reduction. Zbl 1513.70063Fehér, L. 1 2022 Approximating the ground state eigenvalue via the effective potential. Zbl 1491.82011Chenn, Ilias; Wang, Wei; Zhang, Shiwen 1 2022 On spectral structure and spectral eigenvalue problems for a class of self similar spectral measure with product form. Zbl 1504.28011Li, Jinjun; Wu, Zhiyi 1 2022 On global smooth solutions of the 3D spherically symmetric Euler equations with time-dependent damping and physical vacuum. Zbl 1492.35209Pan, Xinghong 1 2022 Hausdorff dimension of thin higher-dimensional solenoidal attractors. Zbl 1498.37042Bortolotti, Ricardo; Ferreira da Silva, Eberson 1 2022 Local well-posedness of the coupled Yang-Mills and Dirac system for low regularity data. Zbl 1477.35196Pecher, Hartmut 1 2022 The inverse scattering transform for weak Wigner-von Neumann type potentials. Zbl 1492.35262Grudsky, Sergei; Rybkin, Alexei 1 2022 Two-dimensional attractors of A-flows and fibred links on three-manifolds. Zbl 1500.37025Medvedev, V.; Zhuzhoma, E. 1 2022 Convergence analysis of a viscosity parameter recovery algorithm for the 2D Navier-Stokes equations. Zbl 1487.35300Martinez, Vincent R. 1 2022 Relay interlayer synchronisation: invariance and stability conditions. Zbl 1491.34068Rakshit, Sarbendu; Parastesh, Fatemeh; Nag Chowdhury, Sayantan; Jafari, Sajad; Kurths, Jürgen; Ghosh, Dibakar 1 2022 Existence of physical measures in some excitation-inhibition networks. Zbl 1487.37028Tanzi, Matteo; Young, Lai-Sang 1 2022 Decay of correlations for weakly expanding dynamical systems with Dini potentials under optimal quasi-gap condition. Zbl 1493.37023Jiang, Yunping; Ye, Yuan-Ling 1 2022 The shock formation and optimal regularities of the resulting shock curves for 1D scalar conservation laws. Zbl 1481.35276Huicheng, Yin; Lu, Zhu 1 2022 Stationary multi-kinks in the discrete sine-Gordon equation. Zbl 1487.37088Parker, Ross; Kevrekidis, P. G.; Aceves, Alejandro 1 2022 Integrable semi-discretisation of the Drinfel’d-Sokolov hierarchies. Zbl 1501.37071Yin, Yue; Fu, Wei 1 2022 Critical sharp front for doubly nonlinear degenerate diffusion equations with time delay. Zbl 1492.35090Xu, Tianyuan; Ji, Shanming; Mei, Ming; Yin, Jingxue 1 2022 Hidden spatiotemporal symmetries and intermittency in turbulence. Zbl 1490.76108Mailybaev, Alexei A. 1 2022 Asymptotic behaviour of global vortex rings. Zbl 1490.76055Cao, Daomin; Wan, Jie; Wang, Guodong; Zhan, Weicheng 1 2022 Singular Euler-Maclaurin expansion on multidimensional lattices. Zbl 1492.65006Buchheit, Andreas A.; Keßler, Torsten 1 2022 Conditioning problems for invariant sets of expanding piecewise affine mappings: application to loss of ergodicity in globally coupled maps. Zbl 1502.37004Fernandez, Bastien; Sélley, Fanni M. 1 2022 The simplest erasing substitution. Zbl 1507.37013Della Corte, Alessandro; Isola, Stefano; Piergallini, Riccardo 1 2022 Nonlinear parabolic stochastic evolution equations in critical spaces. I: Stochastic maximal regularity and local existence. Zbl 1496.60068Agresti, Antonio; Veraar, Mark 1 2022 Global unique solvability of inhomogeneous incompressible Navier-Stokes equations with nonnegative density. Zbl 1517.35163Zhang, Jianzhong; Shi, Weixuan; Cao, Hongmei 1 2022 ...and 1425 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 26,455 Authors 218 Llibre, Jaume 100 Titi, Edriss Saleh 94 Guo, Boling 86 Winkler, Michael 81 Ha, Seung-Yeal 80 Li, Wan-Tong 78 Kevrekidis, Panayotis G. 77 Mu, Chunlai 76 Geng, Xianguo 74 Wei, Juncheng 74 Wu, Jiahong 73 Cao, Jinde 73 Pelinovsky, Dmitry Efimovich 71 Algaba, Antonio 68 de la Llave, Rafael 67 Rădulescu, Vicenţiu D. 67 Valls Anglés, Cláudia 64 Han, Maoan 61 Carrillo de la Plata, José Antonio 59 Giné, Jaume 58 Temam, Roger Meyer 54 Ashwin, Peter 53 Zhang, Binlin 52 Duan, Jinqiao 52 Majda, Andrew J. 52 Melbourne, Ian 51 Kukavica, Igor 50 Wang, Bixiang 49 Knobloch, Edgar 47 Tang, Xianhua 47 Varandas, Paulo 45 Xu, Junxiang 44 Fan, Engui 44 García, Cristóbal 44 Guo, Shangjiang 44 Jüngel, Ansgar 43 He, Jingsong 43 Kevrekidis, Ioannis George 43 Kühn, Christian 43 Shi, Junping 42 Chen, Guanrong 42 Krauskopf, Bernd 42 Schneider, Guido 42 Yu, Pei 41 Lopes, Artur Oscar 41 MacKay, Robert Sinclair 41 Perthame, Benoît 41 Urbański, Mariusz 41 Wang, Zhi Cheng 41 Wei, Junjie 41 Zaag, Hatem 40 Gao, Hongjun 40 Stewart, Ian Nicholas 40 Zheng, Pan 39 Choi, Young-Pil 39 Tao, Youshan 38 Chae, Dongho 38 Constantin, Peter 38 Feng, Zhaosheng 38 Gardini, Laura 38 Gasull, Armengol 38 Langa, Jose’ Antonio 38 Oprocha, Piotr 38 Vaienti, Sandro 38 Wu, Xinxing 38 Zelik, Sergey V. 38 Zhang, Zujin 37 Feireisl, Eduard 37 Lin, Zhigui 37 Ruan, Shigui 37 Turaev, Dmitry V. 37 Wiggins, Stephen R. 37 Xiang, Mingqi 36 Mielke, Alexander 36 Robinson, James Cooper 36 Shen, Wenxian 36 Tang, Chun-Lei 36 Wu, Min 36 Wu, Shiliang 35 Froyland, Gary 35 Gala, Sadek 35 Novaes, Douglas Duarte 35 Zheng, Jiashan 34 Caraballo Garrido, Tomás 34 Cordoba, Diego 34 Gonchenko, Sergey V. 34 Grasselli, Maurizio 34 Vicol, Vlad C. 34 Ward, Michael J. 34 Zhao, Caidi 34 Zhong, Xin 33 Borisov, Alekseĭ Vladimirovich 33 Fan, Jishan 33 Li, Fucai 33 Lin, Guo 33 Ma, Wen-Xiu 33 Meiss, James D. 33 Saut, Jean-Claude 33 Simó, Carles 33 Wang, Mingxin ...and 26,355 more Authors all top 5 Cited in 902 Journals 1,636 Journal of Differential Equations 1,269 Physica D 1,143 Journal of Mathematical Analysis and Applications 805 Journal of Mathematical Physics 724 Nonlinearity 710 Communications in Mathematical Physics 708 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 664 Chaos 631 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 610 Discrete and Continuous Dynamical Systems 482 Nonlinear Analysis. Real World Applications 464 Ergodic Theory and Dynamical Systems 460 Discrete and Continuous Dynamical Systems. Series B 453 Journal of Statistical Physics 432 Chaos, Solitons and Fractals 410 Archive for Rational Mechanics and Analysis 402 Journal of Nonlinear Science 396 Communications in Nonlinear Science and Numerical Simulation 371 ZAMP. Zeitschrift für angewandte Mathematik und Physik 353 Journal of Dynamics and Differential Equations 352 SIAM Journal on Mathematical Analysis 330 Applied Mathematics and Computation 320 Applied Mathematics Letters 310 Journal of Fluid Mechanics 286 Journal of Computational Physics 281 Transactions of the American Mathematical Society 281 Nonlinear Dynamics 277 Proceedings of the American Mathematical Society 264 SIAM Journal on Applied Dynamical Systems 257 Advances in Mathematics 241 Communications on Pure and Applied Analysis 239 Calculus of Variations and Partial Differential Equations 229 Dynamical Systems 224 Applicable Analysis 201 Regular and Chaotic Dynamics 196 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 195 Journal of Functional Analysis 194 Journal of Physics A: Mathematical and Theoretical 185 Computers & Mathematics with Applications 184 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 182 Journal of Mathematical Fluid Mechanics 182 Qualitative Theory of Dynamical Systems 159 Boundary Value Problems 151 Journal of Mathematical Biology 150 Acta Applicandae Mathematicae 148 Journal of Computational and Applied Mathematics 148 Abstract and Applied Analysis 146 Communications in Partial Differential Equations 145 Advances in Difference Equations 139 Discrete and Continuous Dynamical Systems. Series S 138 Journal de Mathématiques Pures et Appliquées. Neuvième Série 137 Mathematical Methods in the Applied Sciences 133 Science China. Mathematics 132 Journal of Geometry and Physics 124 Physics of Fluids 124 Acta Mathematica Sinica. English Series 119 Journal of Difference Equations and Applications 118 Physics Letters. A 117 Journal of Nonlinear Mathematical Physics 116 Theoretical and Mathematical Physics 116 Celestial Mechanics and Dynamical Astronomy 113 Journal of Evolution Equations 112 Stochastics and Dynamics 109 NoDEA. Nonlinear Differential Equations and Applications 106 Annales Henri Poincaré 103 Comptes Rendus. Mathématique. Académie des Sciences, Paris 102 SIAM Journal on Applied Mathematics 100 Journal of High Energy Physics 92 Israel Journal of Mathematics 88 Studies in Applied Mathematics 86 Inventiones Mathematicae 86 Monatshefte für Mathematik 86 Journal of Scientific Computing 85 Topology and its Applications 84 Mathematics and Computers in Simulation 84 Advances in Nonlinear Analysis 83 Mathematische Zeitschrift 81 Communications in Contemporary Mathematics 79 Applied Mathematics and Optimization 79 European Journal of Applied Mathematics 78 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 78 Journal of Theoretical Biology 77 Computer Methods in Applied Mechanics and Engineering 77 Fractals 75 Physica A 74 Bulletin of Mathematical Biology 74 Chinese Annals of Mathematics. Series B 74 Kinetic and Related Models 73 Acta Mathematica Scientia. Series B. (English Edition) 73 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 72 The Journal of Geometric Analysis 71 Wave Motion 70 Journal of Dynamical and Control Systems 70 Complex Variables and Elliptic Equations 69 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 67 Mathematische Annalen 66 Letters in Mathematical Physics 66 Bulletin des Sciences Mathématiques 66 Advanced Nonlinear Studies 65 Applied Numerical Mathematics ...and 802 more Journals all top 5 Cited in 63 Fields 15,666 Partial differential equations (35-XX) 10,907 Dynamical systems and ergodic theory (37-XX) 5,259 Fluid mechanics (76-XX) 4,901 Ordinary differential equations (34-XX) 3,997 Biology and other natural sciences (92-XX) 2,188 Numerical analysis (65-XX) 2,032 Probability theory and stochastic processes (60-XX) 2,019 Statistical mechanics, structure of matter (82-XX) 1,891 Mechanics of particles and systems (70-XX) 1,328 Quantum theory (81-XX) 1,113 Measure and integration (28-XX) 902 Operator theory (47-XX) 888 Systems theory; control (93-XX) 834 Global analysis, analysis on manifolds (58-XX) 815 Calculus of variations and optimal control; optimization (49-XX) 811 Mechanics of deformable solids (74-XX) 779 Differential geometry (53-XX) 630 Geophysics (86-XX) 602 Difference and functional equations (39-XX) 594 Number theory (11-XX) 463 Optics, electromagnetic theory (78-XX) 442 Functions of a complex variable (30-XX) 442 Computer science (68-XX) 375 General topology (54-XX) 361 Real functions (26-XX) 329 Classical thermodynamics, heat transfer (80-XX) 324 Functional analysis (46-XX) 301 Integral equations (45-XX) 276 Harmonic analysis on Euclidean spaces (42-XX) 273 Special functions (33-XX) 266 Linear and multilinear algebra; matrix theory (15-XX) 263 Algebraic geometry (14-XX) 257 Statistics (62-XX) 224 Combinatorics (05-XX) 222 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 216 Information and communication theory, circuits (94-XX) 186 Several complex variables and analytic spaces (32-XX) 171 Operations research, mathematical programming (90-XX) 159 Relativity and gravitational theory (83-XX) 157 Manifolds and cell complexes (57-XX) 125 Approximations and expansions (41-XX) 103 Nonassociative rings and algebras (17-XX) 94 Topological groups, Lie groups (22-XX) 92 Group theory and generalizations (20-XX) 85 Astronomy and astrophysics (85-XX) 84 Convex and discrete geometry (52-XX) 75 Potential theory (31-XX) 65 General and overarching topics; collections (00-XX) 44 Mathematical logic and foundations (03-XX) 41 Integral transforms, operational calculus (44-XX) 41 Algebraic topology (55-XX) 38 Geometry (51-XX) 31 Commutative algebra (13-XX) 30 History and biography (01-XX) 30 Sequences, series, summability (40-XX) 29 Associative rings and algebras (16-XX) 28 Abstract harmonic analysis (43-XX) 27 Field theory and polynomials (12-XX) 11 Order, lattices, ordered algebraic structures (06-XX) 6 Category theory; homological algebra (18-XX) 4 General algebraic systems (08-XX) 2 \(K\)-theory (19-XX) 2 Mathematics education (97-XX) Citations by Year