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: 5,073 Publications (since 1988) References Indexed: 1,834 Publications with 65,732 References. all top 5 Latest Issues 38, No. 2 (2025) 38, No. 1 (2025) 37, No. 12 (2024) 37, No. 11 (2024) 37, No. 10 (2024) 37, No. 9 (2024) 37, No. 8 (2024) 37, No. 7 (2024) 37, No. 6 (2024) 37, No. 5 (2024) 37, No. 4 (2024) 37, No. 3 (2024) 37, No. 2 (2024) 37, No. 1 (2024) 36, No. 12 (2023) 36, No. 11 (2023) 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) ...and 228 more Volumes all top 5 Authors 32 MacKay, Robert Sinclair 21 Krauskopf, Bernd 21 Kukavica, Igor 19 Gibbon, John D. 19 Titi, Edriss Saleh 19 Zakrzewski, Wojciech J. 18 Llibre, Jaume 18 Melbourne, Ian 17 Ashwin, Peter 17 Kevrekidis, Panayotis G. 17 Vivaldi, Franco 16 Bunimovich, Leonid Abramovich 16 Eckmann, Jean-Pierre 16 Pelinovsky, Dmitry Efimovich 16 Simó, Carles 15 Broer, Henk W. 15 Constantin, Peter 15 Fokas, Athanassios 15 Majda, Andrew Joseph 15 Ryzhik, Lenya 15 Turaev, Dmitry V. 15 Wu, Jiahong 14 Díaz, Lorenzo Justiniano 14 Meiss, James D. 14 Robinson, James Cooper 14 Vaienti, Sandro 13 Bizoń, Piotr 13 Glendinning, Paul Alexander 12 Collet, Pierre 12 de la Llave, Rafael 12 Golubitsky, Martin A. 12 Keating, Jonathan Peter 12 Keller, Gerhard 12 Winkler, Michael 11 Dullin, Holger R. 11 Forrester, Peter J. 11 Froyland, Gary 11 Galatolo, Stefano 11 Holm, Darryl Dallas 11 Joshi, Nalini 11 Lamb, Jeroen S. W. 11 Li, Wenxia 11 Scheel, Arnd 11 Troubetzkoy, Serge Eugene 11 Urbański, Mariusz 11 Yagasaki, Kazuyuki 10 Afraimovich, Valentin S. 10 Bahsoun, Wael 10 Blank, Michael 10 Chae, Dongho 10 Dias, Ana Paula S. 10 Gonchenko, Sergeĭ Vladimirovich 10 King, John Robert 10 Nicol, Matthew 10 Sandstede, Björn 10 Sutcliffe, Paul Michael 10 Young, Lai-Sang 9 Baladi, Viviane 9 Barreira, Luis Manuel 9 Champneys, Alan R. 9 Chazottes, Jean-René 9 Cvitanović, Predrag 9 Feireisl, Eduard 9 Gelfreich, Vassili 9 Jolly, Michael Summerfield 9 Kevrekidis, Ioannis George 9 Klein, Christian 9 Knobloch, Edgar 9 Lebowitz, Joel Louis 9 Lenells, Jonatan 9 Levi, Mark L. 9 Marmi, Stefano 9 Oprocha, Piotr 9 Osinga, Hinke Maria 9 Pego, Robert Leo 9 Piette, Bernard M. A. G. 9 Pollicott, Mark 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 Doelman, Arjen 8 Dumortier, Freddy 8 Ha, Seung-Yeal 8 Haydn, Nicolai T. A. 8 Kiriki, Shin 8 Kong, Derong 8 Langa, Jose’ Antonio 8 Mailybaev, Alexei Abaevich 8 Martín de Diego, David 8 Montgomery, Richard 8 Nakano, Yushi 8 Neĭshtadt, Anatoliĭ Iserovich 8 Ozorio de Almeida, Alfredo M. ...and 5,914 more Authors all top 5 Fields 2,585 Dynamical systems and ergodic theory (37-XX) 2,078 Partial differential equations (35-XX) 796 Ordinary differential equations (34-XX) 781 Fluid mechanics (76-XX) 395 Mechanics of particles and systems (70-XX) 343 Statistical mechanics, structure of matter (82-XX) 335 Biology and other natural sciences (92-XX) 330 Probability theory and stochastic processes (60-XX) 270 Quantum theory (81-XX) 255 Measure and integration (28-XX) 206 Numerical analysis (65-XX) 179 Global analysis, analysis on manifolds (58-XX) 148 Differential geometry (53-XX) 123 Number theory (11-XX) 122 Operator theory (47-XX) 109 Calculus of variations and optimal control; optimization (49-XX) 108 Mechanics of deformable solids (74-XX) 95 Difference and functional equations (39-XX) 94 General topology (54-XX) 87 Optics, electromagnetic theory (78-XX) 77 Functions of a complex variable (30-XX) 75 Geophysics (86-XX) 69 Systems theory; control (93-XX) 59 Special functions (33-XX) 56 Classical thermodynamics, heat transfer (80-XX) 55 Integral equations (45-XX) 51 Real functions (26-XX) 47 Linear and multilinear algebra; matrix theory (15-XX) 45 Functional analysis (46-XX) 43 Combinatorics (05-XX) 43 Manifolds and cell complexes (57-XX) 42 Harmonic analysis on Euclidean spaces (42-XX) 39 Algebraic geometry (14-XX) 37 Computer science (68-XX) 31 Information and communication theory, circuits (94-XX) 30 Approximations and expansions (41-XX) 25 Several complex variables and analytic spaces (32-XX) 20 Statistics (62-XX) 18 Convex and discrete geometry (52-XX) 18 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 17 Relativity and gravitational theory (83-XX) 16 Topological groups, Lie groups (22-XX) 15 Operations research, mathematical programming (90-XX) 14 Potential theory (31-XX) 12 Group theory and generalizations (20-XX) 11 Integral transforms, operational calculus (44-XX) 10 Nonassociative rings and algebras (17-XX) 9 Astronomy and astrophysics (85-XX) 8 Commutative algebra (13-XX) 7 Mathematical logic and foundations (03-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 4,474 Publications have been cited 62,764 times in 41,156 Documents Cited by ▼ Year ▼ Formation of strong fronts in the 2-D quasigeostrophic thermal active scalar. Zbl 0809.35057 Constantin, Peter; Majda, Andrew J.; Tabak, Esteban 401 1994 Inverse scattering transform for the integrable nonlocal nonlinear Schrödinger equation. Zbl 1338.37099 Ablowitz, Mark J.; Musslimani, Ziad H. 309 2016 Proof of existence of breathers for time-reversible or Hamiltonian networks of weakly coupled oscillators. Zbl 0811.70017 MacKay, R. S.; Aubry, S. 274 1994 On the equations of the large-scale ocean. Zbl 0766.35039 Lions, Jacques-Louis; Temam, Roger; Wang, Shouhong 253 1992 New formulations of the primitive equations of atmosphere and applications. Zbl 0746.76019 Lions, Jacques Louis; Temam, Roger; Wang, Shouhong 235 1992 A reaction-diffusion SIS epidemic model in a time-periodic environment. Zbl 1250.35172 Peng, Rui; Zhao, Xiao-Qiang 224 2012 Chimera states: coexistence of coherence and incoherence in networks of coupled oscillators. Zbl 1392.34036 Panaggio, Mark J.; Abrams, Daniel M. 210 2015 Ground state of scalar field equations involving a fractional Laplacian with general nonlinearity. Zbl 1276.35080 Chang, X; Wang, Z.-Q. 202 2013 Finite-time blow-up in a quasilinear system of chemotaxis. Zbl 1136.92006 Cieślak, Tomasz; Winkler, Michael 197 2008 Inertial energy dissipation for weak solutions of incompressible Euler and Navier-Stokes equations. Zbl 1009.35062 Duchon, Jean; Robert, Raoul 182 2000 Nonlinear modelling of cancer: bridging the gap between cells and tumours. Zbl 1181.92046 Lowengrub, J. S.; Frieboes, H. B.; Jin, F.; Chuang, Y-L; Li, X.; Macklin, P.; Wise, S. M.; Cristini, V. 181 2010 Energy conservation and Onsager’s conjecture for the Euler equations. Zbl 1138.76020 Cheskidov, A.; Constantin, P.; Friedlander, S.; Shvydkoy, R. 181 2008 Sensitive dependence on initial conditions. Zbl 0790.58025 Glasner, Eli; Weiss, Benjamin 177 1993 The Cauchy problem for the Novikov equation. Zbl 1232.35145 Himonas, A. Alexandrou; Holliman, Curtis 176 2012 Systems of differential equations which are competitive or cooperative. III: Competing species. Zbl 0658.34024 Hirsch, Morris W. 169 1988 Boussinesq equations and other systems for small-amplitude long waves in nonlinear dispersive media. II: The nonlinear theory. Zbl 1059.35103 Bona, J. L.; Chen, M.; Saut, J.-C. 159 2004 Existence of travelling wave solutions in delayed reaction-diffusion systems with applications to diffusion-competition systems. Zbl 1103.35049 Li, Wantong; Lin, Guo; Ruan, Shigui 157 2006 The non-local Fisher-KPP equation: travelling waves and steady states. Zbl 1195.35088 Berestycki, Henri; Nadin, Grégoire; Perthame, Benoit; Ryzhik, Lenya 154 2009 Integrable multidimensional versions of the nonlocal nonlinear Schrödinger equation. Zbl 1339.37066 Fokas, A. S. 152 2016 Stabilization in a two-species chemotaxis system with a logistic source. Zbl 1260.92014 Tello, J. I.; Winkler, M. 147 2012 On the regularity of the solutions of the Navier-Stokes equations via one velocity component. Zbl 1190.35179 Zhou, Yong; Pokorný, Milan 146 2010 The nonlinear Schrödinger equation on the half-line. Zbl 1181.37095 Fokas, A. S.; Its, A. R.; Sung, L.-Y. 146 2005 Li-Yorke sensitivity. Zbl 1045.37004 Akin, Ethan; Kolyada, Sergiĭ 140 2003 A gradient structure for reaction-diffusion systems and for energy-drift-diffusion systems. Zbl 1227.35161 Mielke, Alexander 139 2011 Symplectic integration of Hamiltonian systems. Zbl 0704.65052 Channell, P. J.; Scovel, C. 139 1990 Generic properties and problems of minimizing measures of Lagrangian systems. Zbl 0886.58037 Mañé, Ricardo 135 1996 On the extension of the Painlevé property to difference equations. Zbl 0956.39003 Ablowitz, M. J.; Halburd, R.; Herbst, B. 131 2000 From attractor to chaotic saddle: A tale of transverse instability. Zbl 0887.58034 Ashwin, Peter; Buescu, Jorge; Stewart, Ian 129 1996 Double phase transonic flow problems with variable growth: nonlinear patterns and stationary waves. Zbl 1419.35056 Bahrouni, Anouar; Rădulescu, Vicenţiu D.; Repovš, Dušan D. 128 2019 The boundedness-by-entropy method for cross-diffusion systems. Zbl 1326.35175 Jüngel, Ansgar 125 2015 On the vanishing viscosity limit for the 2D incompressible Navier-Stokes equations with the friction type boundary conditions. Zbl 0911.76014 Clopeau, Thierry; Mikelić, Andro; Robert, Raoul 125 1998 Stability in Cohen-Grossberg-type bidirectional associative memory neural networks with time-varying delays. Zbl 1118.37038 Cao, Jinde; Song, Qiankun 124 2006 Ratio-dependent predator-prey model: effect of environmental fluctuation and stability. Zbl 1078.34035 Bandyopadhyay, M.; Chattopadhyay, J. 124 2005 Existence of ground states for a modified nonlinear Schrödinger equation. Zbl 1189.35316 Ruiz, David; Siciliano, Gaetano 121 2010 Blow-up in multidimensional aggregation equations with mildly singular interaction kernels. Zbl 1194.35053 Bertozzi, Andrea L.; Carrillo, José A.; Laurent, Thomas 121 2009 Extracting macroscopic dynamics: model problems and algorithms. Zbl 1073.82038 Givon, Dror; Kupferman, Raz; Stuart, Andrew 121 2004 Pattern formation in the one-dimensional Gray-Scott model. Zbl 0905.35044 Doelman, Arjen; Kaper, Tasso J.; Zegeling, Paul A. 115 1997 Stronger forms of sensitivity for dynamical systems. Zbl 1132.54023 Moothathu, T. K. Subrahmonian 114 2007 Quantitative perturbative study of convergence to equilibrium for collisional kinetic models in the torus. Zbl 1169.82306 Mouhot, Clément; Neumann, Lukas 113 2006 Smooth attractors for strongly damped wave equations. Zbl 1113.35023 Pata, Vittorino; Zelik, Sergey 112 2006 Recycling of strange sets. I: Cycle expansions. II: Applications. Zbl 0702.58064 Artuso, Roberto; Aurell, Erik; Cvitanović, Predrag 112 1990 On the nonexistence, existence and uniqueness of limit cycles. Zbl 0886.58087 Giacomini, H.; Llibre, J.; Viano, M. 111 1996 Low-dimensional behaviour in the complex Ginzburg-Landau equation. Zbl 0655.58021 Doering, Charles R.; Gibbon, John D.; Holm, Darryl D.; Nicolaenko, Basil 110 1988 A critical blow-up exponent in a chemotaxis system with nonlinear signal production. Zbl 1391.35240 Winkler, Michael 109 2018 A free boundary problem for a predator-prey model. Zbl 1126.35111 Lin, Zhigui 109 2007 Nonlocal Kirchhoff diffusion problems: local existence and blow-up of solutions. Zbl 1393.35090 Mingqi, Xiang; Rădulescu, Vicenţiu D.; Zhang, Binlin 108 2018 An extension of integrable peakon equations with cubic nonlinearity. Zbl 1171.37331 Geng, Xianguo; Xue, Bo 106 2009 Ground states for fractional Schrödinger equations with critical growth. Zbl 1287.35027 Shang, Xudong; Zhang, Jihui 105 2014 On the initial value problem for the Davey-Stewartson systems. Zbl 0727.35111 Ghidaglia, Jean-Michel; Saut, Jean-Claude 105 1990 On the regularity of the primitive equations of the ocean. Zbl 1136.35069 Kukavica, Igor; Ziane, Mohammed 105 2007 One component regularity for the Navier-Stokes equations. Zbl 1149.35069 Kukavica, Igor; Ziane, Mohammed 104 2006 Ruelle-Perron-Frobenius spectrum for Anosov maps. Zbl 1021.37015 Blank, Michael; Keller, Gerhard; Liverani, Carlangelo 104 2002 Nonlinear dynamics and statistical physics of DNA. Zbl 1092.82015 Peyrard, Michel 104 2004 Large deviations estimates for dynamical systems without the specification property. Application to the \(\beta\)-shifts. Zbl 1069.60029 Pfister, C.-E.; Sullivan, W. G. 102 2005 Spacetime chaos in coupled map lattices. Zbl 0679.58028 Bunimovich, L. A.; Sinaj, Ya. G. 102 1988 Swarm dynamics and equilibria for a nonlocal aggregation model. Zbl 1288.92031 Fetecau, R. C.; Huang, Y.; Kolokolnikov, T. 100 2011 Inverse scattering transform for the Degasperis-Procesi equation. Zbl 1211.37081 Constantin, Adrian; Ivanov, Rossen I.; Lenells, Jonatan 100 2010 Multiplicity of solutions for a class of quasilinear Kirchhoff system involving the fractional \(p\)-Laplacian. Zbl 1349.35413 Xiang, Mingqi; Zhang, Binlin; Rădulescu, Vicenţiu D. 100 2016 Gap solitons in periodic discrete nonlinear Schrödinger equations. Zbl 1220.35163 Pankov, A. 99 2006 Nonlinear waves in Bose-Einstein condensates: physical relevance and mathematical techniques. Zbl 1216.82023 Carretero-González, R.; Frantzeskakis, D. J.; Kevrekidis, P. G. 99 2008 On stationary patterns of a reaction-diffusion model with autocatalysis and saturation law. Zbl 1148.35094 Peng, Rui; Shi, Junping; Wang, Mingxin 99 2008 Solitary waves on FPU lattices. I: Qualitative properties, renormalization and continuum limit. Zbl 0962.82015 Friesecke, G.; Pego, R. L. 96 1999 Excitation thresholds for nonlinear localized modes on lattices. Zbl 0984.35147 Weinstein, M. I. 95 1999 Continuous data assimilation for the three-dimensional Brinkman-Forchheimer-extended Darcy model. Zbl 1339.35246 Markowich, Peter A.; Titi, Edriss S.; Trabelsi, Saber 93 2016 Ground states and concentration phenomena for the fractional Schrödinger equation. Zbl 1320.35320 Fall, Mouhamed Moustapha; Mahmoudi, Fethi; Valdinoci, Enrico 92 2015 Ultra-short pulses in linear and nonlinear media. Zbl 1125.35412 Chung, Y.; Jones, C. K. R. T.; Schäfer, T.; Wayne, C. E. 92 2005 Boundedness in a chemotaxis-haptotaxis model with nonlinear diffusion. Zbl 1338.35438 Li, Yan; Lankeit, Johannes 91 2016 Local and global well-posedness for aggregation equations and Patlak-Keller-Segel models with degenerate diffusion. Zbl 1222.49038 Bedrossian, Jacob; Rodríguez, Nancy; Bertozzi, Andrea L. 90 2011 Higher order averaging theory for finding periodic solutions via Brouwer degree. Zbl 1291.34077 Llibre, Jaume; Novaes, Douglas D.; Teixeira, Marco A. 90 2014 Extending slow manifolds near transcritical and pitchfork singularities. Zbl 0998.34039 Krupa, M.; Szmolyan, P. 90 2001 Synchronization of delayed chaotic systems with parameter mismatches by using intermittent linear state feedback. Zbl 1167.34386 Huang, Tingwen; Li, Chuandong; Yu, Wenwu; Chen, Guanrong 89 2009 Attractors for modulation equations on unbounded domains – existence and comparison. Zbl 0833.35016 Mielke, Alexander; Schneider, Guido 89 1995 Travelling wave solutions for an infection-age structured epidemic model with external supplies. Zbl 1227.92044 Ducrot, Arnaud; Magal, Pierre 88 2011 An analytical approach to the Schrödinger-Newton equations. Zbl 0942.35077 Tod, Paul; Moroz, Irene M. 88 1999 General soliton solution to a nonlocal nonlinear Schrödinger equation with zero and nonzero boundary conditions. Zbl 1406.37049 Feng, Bao-Feng; Luo, Xu-Dan; Ablowitz, Mark J.; Musslimani, Ziad H. 88 2018 The accuracy of symplectic integrators. Zbl 0747.58032 McLachlan, Robert I.; Atela, Pau 88 1992 Planar systems of piecewise linear differential equations with a line of discontinuity. Zbl 1003.34009 Giannakopoulos, Fotios; Pliete, Karin 87 2001 Infinitely many solutions for the stationary Kirchhoff problems involving the fractional \(p\)-Laplacian. Zbl 1334.35406 Xiang, Mingqi; Molica Bisci, Giovanni; Tian, Guohua; Zhang, Binlin 86 2016 Delay-dependent stability of neural networks of neutral type with time delay in the leakage term. Zbl 1196.82102 Li, Xiaodi; Cao, Jinde 85 2010 Decomposition of the \((2+1)\)-dimensional Gardner equation and its quasi-periodic solutions. Zbl 1160.37405 Geng, Xianguo; Cao, Cewen 85 2001 Properties of ground states of attractive Gross-Pitaevskii equations with multi-well potentials. Zbl 1396.35018 Guo, Yujin; Wang, Zhi-Qiang; Zeng, Xiaoyu; Zhou, Huan-Song 85 2018 Synchronization in networks of nonlinear dynamical systems coupled via a directed graph. Zbl 1089.37024 Wu, Chai Wah 85 2005 Determining nodes, finite differences schemes and inertial manifolds. Zbl 0714.34078 Foias, Ciprian; Titi, Edriss S. 84 1991 A review of linear response theory for general differentiable dynamical systems. Zbl 1158.37305 Ruelle, David 81 2009 Attractors for non-compact semigroups via energy equations. Zbl 0914.35023 Moise, Ioana; Rosa, Ricardo; Wang, Xiaoming 81 1998 The two loop soliton solution of the Vakhnenko equation. Zbl 0914.35115 Vakhnenko, V. O.; Parkes, E. J. 81 1998 Stability and instability results for standing waves of quasi-linear Schrödinger equations. Zbl 1192.35163 Colin, Mathieu; Jeanjean, Louis; Squassina, Marco 80 2010 Global well-posedness and stability of constant equilibria in parabolic-elliptic chemotaxis systems without gradient sensing. Zbl 1409.35104 Ahn, Jaewook; Yoon, Changwook 80 2019 Nonlinear modulation of gravity waves: A region approach. Zbl 0742.76012 Craig, W.; Sulem, C.; Sulem, P. L. 80 1992 Recent progress in understanding the transition to turbulence in pipe. Zbl 1084.76033 Kerswell, R. R. 79 2005 KAM theory without action-angle variables. Zbl 1067.37081 de la Llave, R.; González, A.; Jorba, À.; Villanueva, J. 79 2005 Breathers in nonlinear lattices: Numerical calculation from the anticontinuous limit. Zbl 0926.70028 Marín, J. L.; Aubry, S. 79 1996 Asymptotic stability of solitons of the subcritical gKdV equations revisited. Zbl 1064.35171 Martel, Yvan; Merle, Frank 78 2005 Liouville type theorem for stationary Navier-Stokes equations. Zbl 1350.35047 Seregin, G. 77 2016 A modified-Leray-\(\alpha\) subgrid scale model of turbulence. Zbl 1106.35050 Ilyin, Alexei A.; Lunasin, Evelyn M.; Titi, Edriss S. 76 2006 Asymptotic behavior of fractional nonclassical diffusion equations driven by nonlinear colored noise on \(\mathbb{R}^N\). Zbl 1423.35419 Wang, Renhai; Shi, Lin; Wang, Bixiang 76 2019 Global solution for a chemotactic-haptotactic model of cancer invasion. Zbl 1160.35431 Tao, Youshan; Wang, Mingjun 75 2008 A phase field formulation of the Willmore problem. Zbl 1125.35366 Du, Qiang; Liu, Chun; Ryham, Rolf; Wang, Xiaoqiang 75 2005 Connecting orbits and invariant manifolds in the spatial restricted three-body problem. Zbl 1115.70007 Gómez, G.; Koon, W. S.; Lo, M. W.; Marsden, J. E.; Masdemont, J.; Ross, S. D. 75 2004 Yang-Mills fields on quaternionic spaces. Zbl 0681.53037 Mamone Capria, M.; Salamon, S. M. 75 1988 Bosonic construction of CKP tau function. Zbl 07959769 Wang, Shen; Guan, Wenchuang; Cheng, Jipeng 1 2025 Normalized ground states for the Sobolev critical Schrödinger equation with at least mass critical growth. Zbl 1533.35084 Li, Quanqing; Rădulescu, Vicenţiu D.; Zhang, Wen 17 2024 Spectrality of random convolutions generated by finitely many Hadamard triples. Zbl 07781005 Li, Wenxia; Miao, Jun Jie; Wang, Zhiqiang 6 2024 A diffusive SIS epidemic model with saturated incidence function in a heterogeneous environment. Zbl 1531.35062 Gao, Daozhou; Lei, Chengxia; Peng, Rui; Zhang, Benben 5 2024 Critical transitions for scalar nonautonomous systems with concave nonlinearities: some rigorous estimates. Zbl 07867464 Longo, Iacopo P.; Núñez, Carmen; Obaya, Rafael 5 2024 Structural stability of subsonic steady states to the hydrodynamic model for semiconductors with sonic boundary. Zbl 1533.35332 Feng, Yue-Hong; Hu, Haifeng; Mei, Ming 4 2024 Global well-posedness and asymptotic behavior in critical spaces for the compressible Euler system with velocity alignment. Zbl 1530.35194 Bai, Xiang; Miao, Qianyun; Tan, Changhui; Xue, Liutang 4 2024 Classification and stability of positive solutions to the NLS equation on the \(\mathcal{T}\)-metric graph. Zbl 1532.34045 Agostinho, Francisco; Correia, Simão; Tavares, Hugo 3 2024 Glimm’s method and density of wild data for the Euler system of gas dynamics. Zbl 1533.35251 Chiodaroli, Elisabetta; Feireisl, Eduard 3 2024 An existence theory for superposition operators of mixed order subject to jumping nonlinearities. Zbl 1542.35414 Dipierro, Serena; Perera, Kanishka; Sportelli, Caterina; Valdinoci, Enrico 3 2024 Nijenhuis geometry IV: conservation laws, symmetries and integration of certain non-diagonalisable systems of hydrodynamic type in quadratures. Zbl 07909992 Bolsinov, Alexey V.; Konyaev, Andrey Yu; Matveev, Vladimir S. 3 2024 Well-posedness for the surface quasi-geostrophic front equation. Zbl 1539.35182 Ai, Albert; Avadanei, Ovidiu-Neculai 3 2024 Dihedral rings of patterns emerging from a Turing bifurcation. Zbl 1533.35020 Hill, Dan J.; Bramburger, Jason J.; Lloyd, David J. B. 2 2024 Asymptotic study of critical wave fronts for parameter-dependent Born-Infeld models: physically predicted behaviors and new phenomena. Zbl 1531.35109 Garrione, Maurizio 2 2024 Hardy inequalities for magnetic \(p\)-Laplacians. Zbl 1537.35017 Cazacu, Cristian; Krejčiřík, David; Lam, Nguyen; Laptev, Ari 2 2024 New Liouville type theorems for the stationary Navier-Stokes, MHD, and Hall-MHD equations. Zbl 1542.76017 Cho, Youseung; Neustupa, Jiří; Yang, Minsuk 2 2024 Bifurcation and regularity analysis of the Schrödinger-Poisson equation. Zbl 1534.35020 Pucci, Patrizia; Wang, Linlin; Zhang, Binlin 2 2024 Projective integrable mechanical billiards. Zbl 1533.37074 Takeuchi, Airi; Zhao, Lei 2 2024 Hamiltonians for the quantised Volterra hierarchy. Zbl 07900888 Carpentier, Sylvain; Mikhailov, Alexander V.; Wang, Jing Ping 2 2024 Isomonodromic and isospectral deformations of meromorphic connections: the \(\mathfrak{sl}_2(\mathbb{C})\) case. Zbl 07930635 Marchal, Olivier; Alameddine, Mohamad 2 2024 Formation of singularities in plasma ion dynamics. Zbl 1541.35365 Bae, Junsik; Choi, Junho; Kwon, Bongsuk 2 2024 Stability and bifurcation diagram for a shadow Gierer-Meinhardt system in one spatial dimension. Zbl 1544.35035 Kaneko, Yuki; Miyamoto, Yasuhito; Wakasa, Tohru 2 2024 Phase transitions in the fractional three-dimensional Navier-Stokes equations. Zbl 1540.35283 Boutros, Daniel W.; Gibbon, John D. 2 2024 Amplitude equations for wave bifurcations in reaction-diffusion systems. Zbl 1544.35100 Villar-Sepúlveda, Edgardo; Champneys, Alan 2 2024 Linear response due to singularities. Zbl 1548.37051 Bahsoun, Wael; Galatolo, Stefano 2 2024 Hard congestion limit of the dissipative Aw-Rascle system. Zbl 1544.35121 Chaudhuri, N.; Navoret, L.; Perrin, C.; Zatorska, E. 2 2024 Miura-reciprocal transformations and localizable Poisson pencils. Zbl 1535.37086 Lorenzoni, P.; Shadrin, S.; Vitolo, R. 1 2024 Global existence and singularity formation for the generalized Constantin-Lax-Majda equation with dissipation: the real line vs. periodic domains. Zbl 1530.35205 Ambrose, David M.; Lushnikov, Pavel M.; Siegel, Michael; Silantyev, Denis A. 1 2024 Irrationality exponent and convergence exponent in continued fraction expansions. Zbl 1540.11103 Song, Kunkun; Tan, Xiaoyan; Zhang, Zhenliang 1 2024 Revisiting the Kepler problem with linear drag using the blowup method and normal form theory. Zbl 1539.37098 Kristiansen, K. Uldall 1 2024 Bounds on buoyancy driven flows with Navier-slip conditions on rough boundaries. Zbl 1533.35261 Bleitner, Fabian; Nobili, Camilla 1 2024 Boundary asymptotics of non-intersecting Brownian motions: Pearcey, Airy and a transition. Zbl 1542.60050 Neuschel, Thorsten; Venker, Martin 1 2024 Backpropagation in hyperbolic chaos via adjoint shadowing. Zbl 1536.37032 Ni, Angxiu 1 2024 Strong convergence of the vorticity and conservation of the energy for the \(\alpha\)-Euler equations. Zbl 1542.76005 Abbate, Stefano; Crippa, Gianluca; Spirito, Stefano 1 2024 Invariant measures for a stochastic nonlinear and damped 2D Schrödinger equation. Zbl 1530.35273 Brzeźniak, Zdzisław; Ferrario, Benedetta; Zanella, Margherita 1 2024 The realisation of admissible graphs for coupled vector fields. Zbl 1529.34040 de Albuquerque Amorim, Tiago; Manoel, Miriam 1 2024 Global solutions to the tangential Peskin problem in 2-D. Zbl 1529.35562 Tong, Jiajun 1 2024 Canonical curves and Kropina metrics in Lagrangian contact geometry. 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Zbl 1504.35091 Cui, Xiufang; Li, Shengxin; Xie, Feng 3 2023 ...and 1474 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 31,504 Authors 238 Llibre, Jaume 124 Kevrekidis, Panayotis G. 105 Titi, Edriss Saleh 104 Guo, Boling 102 Geng, Xianguo 99 Winkler, Michael 91 Li, Wan-Tong 90 Ha, Seung-Yeal 87 Cao, Jinde 87 Mu, Chunlai 86 Pelinovsky, Dmitry Efimovich 86 Wu, Jiahong 83 Wei, Juncheng 80 Rădulescu, Vicenţiu D. 76 Carrillo de la Plata, José Antonio 76 de la Llave, Rafael 75 Algaba, Antonio 74 Valls Anglés, Cláudia 70 Giné, Jaume 68 Han, Maoan 63 Zhang, Binlin 62 Ashwin, Peter 62 He, Jingsong 61 Fan, Engui 61 Kukavica, Igor 60 Duan, Jinqiao 59 Wang, Bixiang 58 Tang, Xianhua 58 Temam, Roger Meyer 56 Knobloch, Edgar 56 Kühn, Christian 56 Xu, Junxiang 55 Melbourne, Ian 54 Caraballo Garrido, Tomás 53 Jüngel, Ansgar 53 Majda, Andrew Joseph 53 Varandas, Paulo 52 Wang, Zhicheng 50 Guo, Shangjiang 49 Tachim Medjo, Theodore 49 Tang, Chun-Lei 48 Kevrekidis, Ioannis George 48 Krauskopf, Bernd 48 Yu, Pei 47 MacKay, Robert Sinclair 47 Perthame, Benoît 47 Tian, Shoufu 47 Wiggins, Stephen R. 46 Feng, Zhaosheng 46 García, Cristóbal 46 Gonchenko, Sergeĭ Vladimirovich 46 Lopes, Artur Oscar 46 Schneider, Guido 46 Zaag, Hatem 45 Constantin, Peter 45 Gao, Hongjun 45 Ma, Wen-Xiu 45 Shi, Junping 45 Wei, Junjie 44 Chen, Guanrong 44 Chen, Haibo 44 Gardini, Laura 44 Lin, Zhigui 44 Turaev, Dmitry V. 44 Zhang, Xiang 43 Choi, Young-Pil 43 Feireisl, Eduard 43 Oprocha, Piotr 43 Stewart, Ian Nicholas 43 Vaienti, Sandro 43 Wang, Mingxin 42 Chae, Dongho 42 Gasull, Armengol 42 Mielke, Alexander 42 Urbański, Mariusz 41 Langa, Jose’ Antonio 41 Lin, Guo 41 Liu, Zuhan 41 Meiss, James D. 41 Song, Yongli 41 Wang, Zhian 41 Wu, Xinxing 41 Xiang, Mingqi 41 Zelik, Sergey V. 41 Zheng, Pan 41 Zhong, Xin 41 Zou, Wenming 40 Chen, Hebai 40 Guo, Zhengguang 40 Lenells, Jonatan 40 Malomed, Boris A. 40 Ruan, Shigui 40 Shen, Wenxian 40 Vicol, Vlad C. 39 Forrester, Peter J. 39 Gala, Sadek 39 Grasselli, Maurizio 39 Scheel, Arnd 39 Wu, Shiliang 39 Zhang, Zujin ...and 31,404 more Authors all top 5 Cited in 965 Journals 1,884 Journal of Differential Equations 1,667 Physica D 1,297 Journal of Mathematical Analysis and Applications 1,094 Nonlinearity 903 Journal of Mathematical Physics 888 Chaos 775 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 760 Communications in Mathematical Physics 697 Discrete and Continuous Dynamical Systems 665 Nonlinear Analysis. 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