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: 4,834 Publications (since 1988) References Indexed: 1,595 Publications with 57,068 References. all top 5 Latest Issues 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) 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) ...and 217 more Volumes all top 5 Authors 31 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 15 Ryzhik, Lenya 14 Díaz, Lorenzo Justiniano 14 Fokas, Athanassios S. 14 Meiss, James D. 14 Robinson, James Cooper 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 Holm, Darryl Dallas 11 Joshi, Nalini 11 Keating, Jonathan Peter 11 Lamb, Jeroen S. W. 11 Li, Wenxia 11 Scheel, Arnd 11 Troubetzkoy, Serge Eugene 11 Urbański, Mariusz 11 Winkler, Michael 11 Yagasaki, Kazuyuki 10 Afraimovich, Valentin S. 10 Dias, Ana Paula S. 10 Galatolo, Stefano 10 Gonchenko, Sergey V. 10 King, John Robert 10 Nicol, Matthew 10 Sandstede, Björn 10 Sutcliffe, Paul Michael 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 Feireisl, Eduard 9 Gelfreich, Vassili 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 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 Ha, Seung-Yeal 8 Haydn, Nicolai T. A. 8 Kevrekidis, Ioannis George 8 Kiriki, Shin 8 Klein, Christian 8 Kong, Derong 8 Martín de Diego, David 8 Montgomery, Richard 8 Nakano, Yushi 8 Neĭshtadt, Anatoliĭ Iserovich 8 Ozorio de Almeida, Alfredo M. 8 Pego, Robert Leo 8 Pollicott, Mark 8 Wei, Juncheng 8 Zgliczyński, Piotr 8 Ziane, Mohammed 7 Avrutin, Viktor ...and 5,601 more Authors all top 5 Fields 2,489 Dynamical systems and ergodic theory (37-XX) 1,941 Partial differential equations (35-XX) 771 Ordinary differential equations (34-XX) 722 Fluid mechanics (76-XX) 380 Mechanics of particles and systems (70-XX) 332 Statistical mechanics, structure of matter (82-XX) 319 Biology and other natural sciences (92-XX) 317 Probability theory and stochastic processes (60-XX) 265 Quantum theory (81-XX) 244 Measure and integration (28-XX) 199 Numerical analysis (65-XX) 172 Global analysis, analysis on manifolds (58-XX) 140 Differential geometry (53-XX) 120 Number theory (11-XX) 116 Operator theory (47-XX) 104 Calculus of variations and optimal control; optimization (49-XX) 104 Mechanics of deformable solids (74-XX) 92 General topology (54-XX) 88 Difference and functional equations (39-XX) 84 Optics, electromagnetic theory (78-XX) 75 Functions of a complex variable (30-XX) 74 Geophysics (86-XX) 64 Systems theory; control (93-XX) 55 Special functions (33-XX) 53 Integral equations (45-XX) 49 Real functions (26-XX) 49 Classical thermodynamics, heat transfer (80-XX) 45 Linear and multilinear algebra; matrix theory (15-XX) 41 Functional analysis (46-XX) 41 Manifolds and cell complexes (57-XX) 39 Combinatorics (05-XX) 39 Harmonic analysis on Euclidean spaces (42-XX) 37 Computer science (68-XX) 33 Algebraic geometry (14-XX) 31 Information and communication theory, circuits (94-XX) 28 Approximations and expansions (41-XX) 23 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) 16 Relativity and gravitational theory (83-XX) 15 Operations research, mathematical programming (90-XX) 15 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 13 Potential theory (31-XX) 12 Group theory and generalizations (20-XX) 11 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 4,247 Publications have been cited 54,561 times in 35,902 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 348 1994 Inverse scattering transform for the integrable nonlocal nonlinear Schrödinger equation. Zbl 1338.37099 Ablowitz, Mark J.; Musslimani, Ziad H. 238 2016 On the equations of the large-scale ocean. Zbl 0766.35039 Lions, Jacques-Louis; Temam, Roger; Wang, Shouhong 235 1992 New formulations of the primitive equations of atmosphere and applications. Zbl 0746.76019 Lions, Jacques Louis; Temam, Roger; Wang, Shouhong 214 1992 Proof of existence of breathers for time-reversible or Hamiltonian networks of weakly coupled oscillators. Zbl 0811.70017 MacKay, R. S.; Aubry, S. 195 1994 A reaction-diffusion SIS epidemic model in a time-periodic environment. Zbl 1250.35172 Peng, Rui; Zhao, Xiao-Qiang 192 2012 Ground state of scalar field equations involving a fractional Laplacian with general nonlinearity. Zbl 1276.35080 Chang, X; Wang, Z.-Q. 178 2013 Finite-time blow-up in a quasilinear system of chemotaxis. Zbl 1136.92006 Cieślak, Tomasz; Winkler, Michael 172 2008 Sensitive dependence on initial conditions. Zbl 0790.58025 Glasner, Eli; Weiss, Benjamin 167 1993 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. 166 2010 The Cauchy problem for the Novikov equation. Zbl 1232.35145 Himonas, A. Alexandrou; Holliman, Curtis 164 2012 Inertial energy dissipation for weak solutions of incompressible Euler and Navier-Stokes equations. Zbl 1009.35062 Duchon, Jean; Robert, Raoul 157 2000 Energy conservation and Onsager’s conjecture for the Euler equations. Zbl 1138.76020 Cheskidov, A.; Constantin, P.; Friedlander, S.; Shvydkoy, R. 154 2008 Systems of differential equations which are competitive or cooperative. III: Competing species. Zbl 0658.34024 Hirsch, Morris W. 153 1988 Chimera states: coexistence of coherence and incoherence in networks of coupled oscillators. Zbl 1392.34036 Panaggio, Mark J.; Abrams, Daniel M. 152 2015 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 148 2006 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. 143 2004 The non-local Fisher-KPP equation: travelling waves and steady states. Zbl 1195.35088 Berestycki, Henri; Nadin, Grégoire; Perthame, Benoit; Ryzhik, Lenya 137 2009 On the regularity of the solutions of the Navier-Stokes equations via one velocity component. Zbl 1190.35179 Zhou, Yong; Pokorný, Milan 135 2010 Li-Yorke sensitivity. Zbl 1045.37004 Akin, Ethan; Kolyada, Sergiĭ 134 2003 Generic properties and problems of minimizing measures of Lagrangian systems. Zbl 0886.58037 Mañé, Ricardo 127 1996 Stabilization in a two-species chemotaxis system with a logistic source. Zbl 1260.92014 Tello, J. I.; Winkler, M. 125 2012 A gradient structure for reaction-diffusion systems and for energy-drift-diffusion systems. Zbl 1227.35161 Mielke, Alexander 123 2011 The nonlinear Schrödinger equation on the half-line. Zbl 1181.37095 Fokas, A. S.; Its, A. R.; Sung, L.-Y. 123 2005 Symplectic integration of Hamiltonian systems. Zbl 0704.65052 Channell, P. J.; Scovel, C. 121 1990 Blow-up in multidimensional aggregation equations with mildly singular interaction kernels. Zbl 1194.35053 Bertozzi, Andrea L.; Carrillo, José A.; Laurent, Thomas 118 2009 Stability in Cohen-Grossberg-type bidirectional associative memory neural networks with time-varying delays. Zbl 1118.37038 Cao, Jinde; Song, Qiankun 116 2006 On the extension of the Painlevé property to difference equations. Zbl 0956.39003 Ablowitz, M. J.; Halburd, R.; Herbst, B. 115 2000 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 115 1998 From attractor to chaotic saddle: A tale of transverse instability. Zbl 0887.58034 Ashwin, Peter; Buescu, Jorge; Stewart, Ian 114 1996 Ratio-dependent predator-prey model: effect of environmental fluctuation and stability. Zbl 1078.34035 Bandyopadhyay, M.; Chattopadhyay, J. 113 2005 Integrable multidimensional versions of the nonlocal nonlinear Schrödinger equation. Zbl 1339.37066 Fokas, A. S. 113 2016 Extracting macroscopic dynamics: model problems and algorithms. Zbl 1073.82038 Givon, Dror; Kupferman, Raz; Stuart, Andrew 111 2004 On the nonexistence, existence and uniqueness of limit cycles. Zbl 0886.58087 Giacomini, H.; Llibre, J.; Viano, M. 108 1996 Quantitative perturbative study of convergence to equilibrium for collisional kinetic models in the torus. Zbl 1169.82306 Mouhot, Clément; Neumann, Lukas 107 2006 Pattern formation in the one-dimensional Gray-Scott model. Zbl 0905.35044 Doelman, Arjen; Kaper, Tasso J.; Zegeling, Paul A. 105 1997 The boundedness-by-entropy method for cross-diffusion systems. Zbl 1326.35175 Jüngel, Ansgar 105 2015 Double phase transonic flow problems with variable growth: nonlinear patterns and stationary waves. Zbl 1419.35056 Bahrouni, Anouar; Rădulescu, Vicenţiu D.; Repovš, Dušan D. 105 2019 Recycling of strange sets. I: Cycle expansions. II: Applications. Zbl 0702.58064 Artuso, Roberto; Aurell, Erik; Cvitanović, Predrag 104 1990 A free boundary problem for a predator-prey model. Zbl 1126.35111 Lin, Zhigui 103 2007 Existence of ground states for a modified nonlinear Schrödinger equation. Zbl 1189.35316 Ruiz, David; Siciliano, Gaetano 102 2010 Stronger forms of sensitivity for dynamical systems. Zbl 1132.54023 Moothathu, T. K. Subrahmonian 101 2007 Low-dimensional behaviour in the complex Ginzburg-Landau equation. Zbl 0655.58021 Doering, Charles R.; Gibbon, John D.; Holm, Darryl D.; Nicolaenko, Basil 100 1988 Ground states for fractional Schrödinger equations with critical growth. Zbl 1287.35027 Shang, Xudong; Zhang, Jihui 100 2014 Smooth attractors for strongly damped wave equations. Zbl 1113.35023 Pata, Vittorino; Zelik, Sergey 99 2006 One component regularity for the Navier-Stokes equations. Zbl 1149.35069 Kukavica, Igor; Ziane, Mohammed 99 2006 Large deviations estimates for dynamical systems without the specification property. Application to the \(\beta\)-shifts. Zbl 1069.60029 Pfister, C.-E.; Sullivan, W. G. 97 2005 On the initial value problem for the Davey-Stewartson systems. Zbl 0727.35111 Ghidaglia, Jean-Michel; Saut, Jean-Claude 95 1990 Nonlocal Kirchhoff diffusion problems: local existence and blow-up of solutions. Zbl 1393.35090 Mingqi, Xiang; Rădulescu, Vicenţiu D.; Zhang, Binlin 95 2018 Ruelle-Perron-Frobenius spectrum for Anosov maps. Zbl 1021.37015 Blank, Michael; Keller, Gerhard; Liverani, Carlangelo 92 2002 Spacetime chaos in coupled map lattices. Zbl 0679.58028 Bunimovich, L. A.; Sinaj, Ya. G. 91 1988 Swarm dynamics and equilibria for a nonlocal aggregation model. Zbl 1288.92031 Fetecau, R. C.; Huang, Y.; Kolokolnikov, T. 91 2011 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. 91 2016 On the regularity of the primitive equations of the ocean. Zbl 1136.35069 Kukavica, Igor; Ziane, Mohammed 90 2007 An extension of integrable peakon equations with cubic nonlinearity. Zbl 1171.37331 Geng, Xianguo; Xue, Bo 90 2009 Solitary waves on FPU lattices. I: Qualitative properties, renormalization and continuum limit. Zbl 0962.82015 Friesecke, G.; Pego, R. L. 89 1999 On stationary patterns of a reaction-diffusion model with autocatalysis and saturation law. Zbl 1148.35094 Peng, Rui; Shi, Junping; Wang, Mingxin 89 2008 Inverse scattering transform for the Degasperis-Procesi equation. Zbl 1211.37081 Constantin, Adrian; Ivanov, Rossen I.; Lenells, Jonatan 87 2010 Attractors for modulation equations on unbounded domains – existence and comparison. Zbl 0833.35016 Mielke, Alexander; Schneider, Guido 86 1995 Gap solitons in periodic discrete nonlinear Schrödinger equations. Zbl 1220.35163 Pankov, A. 86 2006 Delay-dependent stability of neural networks of neutral type with time delay in the leakage term. Zbl 1196.82102 Li, Xiaodi; Cao, Jinde 83 2010 Ground states and concentration phenomena for the fractional Schrödinger equation. Zbl 1320.35320 Fall, Mouhamed Moustapha; Mahmoudi, Fethi; Valdinoci, Enrico 82 2015 A critical blow-up exponent in a chemotaxis system with nonlinear signal production. Zbl 1391.35240 Winkler, Michael 82 2018 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 81 2016 Attractors for non-compact semigroups via energy equations. Zbl 0914.35023 Moise, Ioana; Rosa, Ricardo; Wang, Xiaoming 80 1998 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. 80 2011 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 80 2009 Excitation thresholds for nonlinear localized modes on lattices. Zbl 0984.35147 Weinstein, M. I. 79 1999 Travelling wave solutions for an infection-age structured epidemic model with external supplies. Zbl 1227.92044 Ducrot, Arnaud; Magal, Pierre 78 2011 Continuous data assimilation for the three-dimensional Brinkman-Forchheimer-extended Darcy model. Zbl 1339.35246 Markowich, Peter A.; Titi, Edriss S.; Trabelsi, Saber 78 2016 An analytical approach to the Schrödinger-Newton equations. Zbl 0942.35077 Tod, Paul; Moroz, Irene M. 77 1999 Determining nodes, finite differences schemes and inertial manifolds. Zbl 0714.34078 Foias, Ciprian; Titi, Edriss S. 76 1991 Nonlinear dynamics and statistical physics of DNA. Zbl 1092.82015 Peyrard, Michel 75 2004 Boundedness in a chemotaxis-haptotaxis model with nonlinear diffusion. Zbl 1338.35438 Li, Yan; Lankeit, Johannes 75 2016 Higher order averaging theory for finding periodic solutions via Brouwer degree. Zbl 1291.34077 Llibre, Jaume; Novaes, Douglas D.; Teixeira, Marco A. 75 2014 Planar systems of piecewise linear differential equations with a line of discontinuity. Zbl 1003.34009 Giannakopoulos, Fotios; Pliete, Karin 74 2001 Synchronization in networks of nonlinear dynamical systems coupled via a directed graph. Zbl 1089.37024 Wu, Chai Wah 74 2005 Nonlinear modulation of gravity waves: A region approach. Zbl 0742.76012 Craig, W.; Sulem, C.; Sulem, P. L. 73 1992 The accuracy of symplectic integrators. Zbl 0747.58032 McLachlan, Robert I.; Atela, Pau 72 1992 Nonlinear waves in Bose-Einstein condensates: physical relevance and mathematical techniques. Zbl 1216.82023 Carretero-González, R.; Frantzeskakis, D. J.; Kevrekidis, P. G. 72 2008 Yang-Mills fields on quaternionic spaces. Zbl 0681.53037 Mamone Capria, M.; Salamon, S. M. 71 1988 Stability and instability results for standing waves of quasi-linear Schrödinger equations. Zbl 1192.35163 Colin, Mathieu; Jeanjean, Louis; Squassina, Marco 71 2010 Universality in blow-up for nonlinear heat equations. Zbl 0857.35018 Bricmont, J.; Kupiainen, A. 71 1994 Extending slow manifolds near transcritical and pitchfork singularities. Zbl 0998.34039 Krupa, M.; Szmolyan, P. 71 2001 A modified-Leray-\(\alpha\) subgrid scale model of turbulence. Zbl 1106.35050 Ilyin, Alexei A.; Lunasin, Evelyn M.; Titi, Edriss S. 71 2006 A review of linear response theory for general differentiable dynamical systems. Zbl 1158.37305 Ruelle, David 71 2009 Asymptotic stability of solitons of the subcritical gKdV equations revisited. Zbl 1064.35171 Martel, Yvan; Merle, Frank 71 2005 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 70 2018 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. 70 2004 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 Eleven small limit cycles in a cubic vector field. Zbl 0837.34042 Żołądek, Henryk 69 1995 Large scale front dynamics for turbulent reaction-diffusion equations with separated velocity scales. Zbl 0839.76093 Majda, Andrew J.; Souganidis, Panagiotis E. 69 1994 The two loop soliton solution of the Vakhnenko equation. Zbl 0914.35115 Vakhnenko, V. O.; Parkes, E. J. 69 1998 On the 2D Zakharov system with \(L^{2}\) Schrödinger data. Zbl 1173.35651 Bejenaru, I.; Herr, S.; Holmer, J.; Tataru, D. 69 2009 Global solution for a chemotactic-haptotactic model of cancer invasion. Zbl 1160.35431 Tao, Youshan; Wang, Mingjun 69 2008 Finite-time aggregation into a single point in a reaction-diffusion system. Zbl 0909.35071 Herrero, M. A.; Medina, E.; Velázquez, J. J. L. 68 1997 Inviscid limits for the Navier-Stokes equations with Navier friction boundary conditions. Zbl 1169.35365 Iftimie, Dragoş; Planas, Gabriela 68 2006 Superlinear nonlocal fractional problems with infinitely many solutions. Zbl 1322.35158 Zhang, Binlin; Molica Bisci, Giovanni; Servadei, Raffaella 68 2015 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. 68 2018 KAM theory without action-angle variables. Zbl 1067.37081 de la Llave, R.; González, A.; Jorba, À.; Villanueva, J. 67 2005 Global well-posedness and asymptotic behavior in critical spaces for the compressible Euler system with velocity alignment. Zbl 07789598 Bai, Xiang; Miao, Qianyun; Tan, Changhui; Xue, Liutang 1 2024 Irrationality exponent and convergence exponent in continued fraction expansions. Zbl 07791458 Song, Kunkun; Tan, Xiaoyan; Zhang, Zhenliang 1 2024 Solvability and pullback attractor for a class of differential hemivariational inequalities with its applications. Zbl 07646812 Li, Xiuwen; Liu, Zhenhai; Papageorgiou, Nikolaos S. 9 2023 The smallest bimolecular mass action reaction networks admitting Andronov-Hopf bifurcation. Zbl 1514.34075 Banaji, Murad; Boros, Balázs 5 2023 Exponential moments for disk counting statistics of random normal matrices in the critical regime. Zbl 1528.41081 Charlier, Christophe; Lenells, Jonatan 4 2023 Non-reversible processes: GENERIC, hypocoercivity and fluctuations. Zbl 1516.35410 Duong, M. H.; Ottobre, M. 4 2023 Infinite WARM graphs III: strong reinforcement regime. Zbl 1523.60167 Hirsch, Christian; Holmes, Mark; Kleptsyn, Victor 3 2023 Generalized Hardy operators. Zbl 1504.35012 Bui, The Anh; D’Ancona, Piero 3 2023 Finite-time blow-up and boundedness in a 2D Keller-Segel system with rotation. Zbl 1505.35054 Li, Yuxiang; Wang, Wanwan 3 2023 On the efficient global dynamics of Newton’s method for complex polynomials. Zbl 1519.37112 Schleicher, Dierk 3 2023 Rate-induced tipping: thresholds, edge states and connecting orbits. Zbl 1521.34050 Wieczorek, Sebastian; Xie, Chun; Ashwin, Peter 3 2023 Normalized solutions of \(L^2\)-supercritical NLS equations on noncompact metric graphs with localized nonlinearities. Zbl 1523.34028 Borthwick, Jack; Chang, Xiaojun; Jeanjean, Louis; Soave, Nicola 3 2023 Chaotic dynamics in refraction galactic billiards. Zbl 1523.37021 Barutello, Vivina L.; De Blasi, Irene; Terracini, Susanna 2 2023 Stabilization despite pervasive strong cross-degeneracies in a nonlinear diffusion model for migration-consumption interaction. Zbl 1525.35040 Winkler, Michael 2 2023 The free material design problem for the stationary heat equation on low dimensional structure. Zbl 07726737 Lewiński, Tomasz; Rybka, Piotr; Zatorska-Goldstein, Anna 2 2023 Network dynamics with higher-order interactions: coupled cell hypernetworks for identical cells and synchrony. Zbl 1525.37038 Aguiar, Manuela; Bick, Christian; Dias, Ana 2 2023 Cramér distance and discretisations of circle expanding maps. I: Theory. Zbl 1525.37037 Guihéneuf, Pierre-Antoine; Monge, Maurizio 2 2023 Elliptic generalisation of integrable \(q\)-deformed anisotropic Haldane-shastry long-range spin chain. Zbl 1524.82009 Matushko, M.; Zotov, A. 2 2023 Topological shadowing methods in Arnold diffusion: weak torsion and multiple time scales. Zbl 1510.37047 Clarke, Andrew; Fejoz, Jacques; Guàrdia, Marcel 2 2023 Active vector models generalising 3D Euler and electron-MHD equations. Zbl 1513.76166 Chae, Dongho; Jeong, In-Jee 2 2023 On a fluid-structure interaction problem for plaque growth. Zbl 1504.35656 Abels, Helmut; Liu, Yadong 2 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 1511.35264 Kukavica, I.; Ożański, W. S. 2 2023 Wronskian structures of planar symplectic ensembles. Zbl 1505.60009 Byun, Sung-Soo; Ebke, Markus; Seo, Seong-Mi 2 2023 Shape analysis via gradient flows on diffeomorphism groups. Zbl 07641222 Balehowsky, Tracey; Karlsson, Carl-Joar; Modin, Klas 2 2023 Lipschitz and Hölder stable determination of nonlinear terms for elliptic equations. Zbl 1510.35400 Kian, Yavar 2 2023 A density-constrained model for chemotaxis. Zbl 1506.35282 Kim, Inwon; Mellet, Antoine; Wu, Yijing 2 2023 Homogenization for time-periodic KPP reactions. Zbl 1510.35033 Zlatoš, Andrej 2 2023 Traveling wave solutions of a class of multi-species non-cooperative reaction-diffusion systems. Zbl 1519.34041 Ai, Shangbing; Du, Yihong; Jiao, Yujuan; Peng, Rui 2 2023 Approximate localised dihedral patterns near a Turing instability. Zbl 1511.35022 Hill, Dan J.; Bramburger, Jason J.; Lloyd, David J. B. 2 2023 Partial degeneration of finite gap solutions to the Korteweg-de Vries equation: soliton gas and scattering on elliptic backgrounds. Zbl 1516.35368 Bertola, M.; Jenkins, R.; Tovbis, A. 2 2023 Global martingale and pathwise solutions and infinite regularity of invariant measures for a stochastic modified Swift-Hohenberg equation. Zbl 1519.60061 Wang, Jintao; Zhang, Xiaoqian; Li, Chunqiu 1 2023 Classification of solutions of the 2D steady Navier-Stokes equations with separated variables in cone-like domains. Zbl 1514.35326 Wang, Wendong; Wu, Jie 1 2023 Lower bounds on the Hausdorff dimension of some Julia sets. Zbl 1525.37046 Dudko, Artem; Gorbovickis, Igors; Tucker, Warwick 1 2023 Takasaki’s rational fourth Painlevé-Calogero system and geometric regularisability of algebro-Painlevé equations. Zbl 07749169 Filipuk, Galina; Stokes, Alexander 1 2023 Long-time convergence of a nonlocal Burgers’ equation towards the local \(N\)-wave. Zbl 1525.35028 Coclite, Giuseppe Maria; De Nitti, Nicola; Keimer, Alexander; Pflug, Lukas; Zuazua, Enrique 1 2023 Finite-time blowup for the inviscid vortex stretching equation. Zbl 1519.35235 Miller, Evan 1 2023 Elizabethan vortices. Zbl 1515.81169 Dunajski, Maciej; Gavrea, Nora 1 2023 On zeros and spectral property of self-affine measures. Zbl 1519.28008 Wang, Zhi-Yong; Liu, Jing-Cheng; Dong, Xin-Han 1 2023 Splitting and coexistence of 2-D strange attractors in a general family of expanding Baker maps. Zbl 1522.37059 Marqués-Lobeiras, A.; Pumariño, A.; Rodríguez, J. 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Zbl 1487.37041 Tian, Xueting; Wu, Weisheng 4 2022 ...and 1491 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 28,166 Authors 222 Llibre, Jaume 101 Titi, Edriss Saleh 98 Guo, Boling 90 Winkler, Michael 86 Ha, Seung-Yeal 82 Li, Wan-Tong 82 Wu, Jiahong 81 Geng, Xianguo 81 Kevrekidis, Panayotis G. 81 Mu, Chunlai 76 Cao, Jinde 76 Pelinovsky, Dmitry Efimovich 76 Wei, Juncheng 73 de la Llave, Rafael 73 Rădulescu, Vicenţiu D. 72 Algaba, Antonio 70 Valls Anglés, Cláudia 65 Han, Maoan 64 Carrillo de la Plata, José Antonio 61 Giné, Jaume 58 Temam, Roger Meyer 57 Wang, Bixiang 55 Ashwin, Peter 55 Duan, Jinqiao 55 Zhang, Binlin 54 Kukavica, Igor 52 Majda, Andrew J. 52 Melbourne, Ian 52 Tang, Xianhua 50 Caraballo Garrido, Tomás 50 He, Jingsong 50 Knobloch, Edgar 49 Fan, Engui 49 Varandas, Paulo 48 Kühn, Christian 46 Guo, Shangjiang 46 Jüngel, Ansgar 46 Shi, Junping 46 Xu, Junxiang 45 García, Cristóbal 45 Perthame, Benoît 44 Kevrekidis, Ioannis George 44 Schneider, Guido 44 Wang, Zhi Cheng 44 Zaag, Hatem 43 MacKay, Robert Sinclair 43 Tang, Chun-Lei 43 Wei, Junjie 43 Yu, Pei 42 Chen, Guanrong 42 Krauskopf, Bernd 42 Lopes, Artur Oscar 42 Urbański, Mariusz 42 Zhang, Xiang 41 Choi, Young-Pil 41 Gao, Hongjun 41 Stewart, Ian Nicholas 40 Chae, Dongho 40 Feng, Zhaosheng 40 Oprocha, Piotr 40 Vaienti, Sandro 40 Zelik, Sergey V. 40 Zheng, Pan 39 Gardini, Laura 39 Gasull, Armengol 39 Ruan, Shigui 39 Shen, Wenxian 39 Tao, Youshan 39 Wang, Mingxin 39 Wu, Xinxing 39 Xiang, Mingqi 38 Chen, Haibo 38 Constantin, Peter 38 Feireisl, Eduard 38 Grasselli, Maurizio 38 Langa, Jose’ Antonio 38 Lin, Zhigui 38 Mielke, Alexander 38 Wu, Shiliang 38 Zhang, Zujin 38 Zhao, Caidi 37 Froyland, Gary 37 Liu, Zuhan 37 Ma, Wen-Xiu 37 Robinson, James Cooper 37 Turaev, Dmitry V. 37 Wiggins, Stephen R. 37 Zheng, Jiashan 36 Cordoba, Diego 36 Gala, Sadek 36 Gonchenko, Sergey V. 36 Guo, Zhengguang 36 Lin, Guo 36 Tian, Shoufu 36 Wang, Zhian 36 Zhong, Xin 36 Zou, Wenming 35 Meiss, James D. 35 Novaes, Douglas Duarte 35 Scheel, Arnd ...and 28,066 more Authors all top 5 Cited in 929 Journals 1,714 Journal of Differential Equations 1,306 Physica D 1,182 Journal of Mathematical Analysis and Applications 951 Nonlinearity 847 Journal of Mathematical Physics 728 Communications in Mathematical Physics 708 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 667 Discrete and Continuous Dynamical Systems 664 Chaos 643 Nonlinear Analysis. 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