# zbMATH — the first resource for mathematics

## 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: Indexed cover-to-cover
 Documents Indexed: 4,280 Publications (since 1988) References Indexed: 1,042 Publications with 36,296 References.
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#### Authors

 28 MacKay, Robert Sinclair 21 Krauskopf, Bernd 19 Kukavica, Igor 19 Titi, Edriss Saleh 18 Gibbon, John D. 17 Llibre, Jaume 17 Melbourne, Ian 16 Simó, Carles 16 Vivaldi, Franco 15 Ashwin, Peter 15 Broer, Henk W. 15 Bunimovich, Leonid Abramovich 15 Eckmann, Jean-Pierre 15 Majda, Andrew J. 14 Constantin, Peter 14 Díaz, Lorenzo Justiniano 14 Meiss, James D. 14 Pelinovsky, Dmitry Efimovich 14 Turaev, Dmitry V. 13 Fokas, Athanassios S. 13 Glendinning, Paul Alexander 13 Vaienti, Sandro 12 Bizoń, Piotr 12 Collet, Pierre 12 Golubitsky, Martin A. 12 Keller, Gerhard 12 Robinson, James Cooper 12 Ryzhik, Lenya 11 Dullin, Holger R. 11 Forrester, Peter J. 11 Froyland, Gary 11 Keating, Jonathan P. 11 Kevrekidis, Panayotis G. 11 Lamb, Jeroen S. W. 11 Wu, Jiahong 10 de la Llave, Rafael 10 Galatolo, Stefano 10 Joshi, Nalini 10 King, John Robert 10 Nicol, Matthew 10 Sandstede, Björn 10 Troubetzkoy, Serge Eugene 10 Urbański, Mariusz 10 Yagasaki, Kazuyuki 9 Baesens, Claude 9 Baladi, Viviane 9 Barreira, Luis Manuel 9 Chazottes, Jean-René 9 Cvitanović, Predrag 9 Dias, Ana Paula S. 9 Gonchenko, Sergey V. 9 Holm, Darryl D. 9 Knobloch, Edgar 9 Lebowitz, Joel Louis 9 Li, Wenxia 9 Marmi, Stefano 9 Osinga, Hinke Maria 9 Piette, Bernard M. A. G. 9 Rand, David A. 9 Scheel, Arnd 9 Speight, James Martin 9 Stewart, Ian Nicholas 9 Winkler, Michael 9 Young, Lai-Sang 8 Ablowitz, Mark Jay 8 Afraimovich, Valentin S. 8 Bahsoun, Wael 8 Bambusi, Dario 8 Blank, Michael 8 Bruin, Henk 8 Chae, Dongho 8 Champneys, Alan R. 8 Feireisl, Eduard 8 Ha, Seung-Yeal 8 Haydn, Nicolai T. A. 8 Kevrekidis, Ioannis George 8 Levi, Mark L. 8 Martín de Diego, David 8 Ozorio de Almeida, Alfredo M. 8 Pego, Robert L. 8 Saut, Jean-Claude 8 Witte, Nicholas S. 8 Yorke, James Alan 8 Zgliczyński, Piotr 8 Ziane, Mohammed 7 Berry, Michael Victor 7 Bona, Jerry Lloyd 7 Delshams, Amadeu 7 Dumortier, Freddy 7 Foiaş, Ciprian Ilie 7 Galaktionov, Victor Aleksandrovich 7 Its, Alexander Rudolfovich 7 Jolly, Michael S. 7 Jorba, Àngel 7 Kim, Donghan 7 Kiriki, Shin 7 Langa, Jose’ Antonio 7 Li, Chengzhi 7 Lomelí, Héctor E. 7 Lowenstein, John H. ...and 4,897 more Authors
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#### Fields

 2,278 Dynamical systems and ergodic theory (37-XX) 1,640 Partial differential equations (35-XX) 712 Ordinary differential equations (34-XX) 614 Fluid mechanics (76-XX) 349 Mechanics of particles and systems (70-XX) 309 Statistical mechanics, structure of matter (82-XX) 276 Biology and other natural sciences (92-XX) 273 Probability theory and stochastic processes (60-XX) 247 Quantum theory (81-XX) 207 Measure and integration (28-XX) 176 Numerical analysis (65-XX) 164 Global analysis, analysis on manifolds (58-XX) 118 Differential geometry (53-XX) 109 Number theory (11-XX) 99 Operator theory (47-XX) 92 Mechanics of deformable solids (74-XX) 88 Calculus of variations and optimal control; optimization (49-XX) 85 General topology (54-XX) 73 Difference and functional equations (39-XX) 73 Optics, electromagnetic theory (78-XX) 72 Functions of a complex variable (30-XX) 66 Geophysics (86-XX) 58 Systems theory; control (93-XX) 49 Integral equations (45-XX) 45 Linear and multilinear algebra; matrix theory (15-XX) 43 Special functions (33-XX) 42 Classical thermodynamics, heat transfer (80-XX) 39 Manifolds and cell complexes (57-XX) 36 Real functions (26-XX) 35 Functional analysis (46-XX) 31 Computer science (68-XX) 30 Information and communication theory, circuits (94-XX) 29 Combinatorics (05-XX) 28 Algebraic geometry (14-XX) 27 Harmonic analysis on Euclidean spaces (42-XX) 22 Approximations and expansions (41-XX) 21 Several complex variables and analytic spaces (32-XX) 18 Statistics (62-XX) 15 Convex and discrete geometry (52-XX) 15 Relativity and gravitational theory (83-XX) 14 Topological groups, Lie groups (22-XX) 13 Operations research, mathematical programming (90-XX) 12 Group theory and generalizations (20-XX) 12 Potential theory (31-XX) 10 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 8 Commutative algebra (13-XX) 8 Integral transforms, operational calculus (44-XX) 8 Astronomy and astrophysics (85-XX) 7 Mathematical logic and foundations (03-XX) 6 Nonassociative rings and algebras (17-XX) 5 Sequences, series, summability (40-XX) 5 Algebraic topology (55-XX) 3 Field theory and polynomials (12-XX) 3 Geometry (51-XX) 1 General and overarching topics; collections (00-XX) 1 Associative rings and algebras (16-XX) 1 Mathematics education (97-XX)

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3,611 Publications have been cited 38,511 times in 25,818 Documents Cited by Year
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1994
On the equations of the large-scale ocean. Zbl 0766.35039
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1992
New formulations of the primitive equations of atmosphere and applications. Zbl 0746.76019
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1992
Proof of existence of breathers for time-reversible or Hamiltonian networks of weakly coupled oscillators. Zbl 0811.70017
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1994
Sensitive dependence on initial conditions. Zbl 0790.58025
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Systems of differential equations which are competitive or cooperative. III: Competing species. Zbl 0658.34024
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1988
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
2006
Ground state of scalar field equations involving a fractional Laplacian with general nonlinearity. Zbl 1276.35080
Chang, X; Wang, Z.-Q.
2013
The Cauchy problem for the Novikov equation. Zbl 1232.35145
Himonas, A. Alexandrou; Holliman, Curtis
2012
Nonlinear modelling of cancer: bridging the gap between cells and tumours. Zbl 1181.92046
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2010
Finite-time blow-up in a quasilinear system of chemotaxis. Zbl 1136.92006
Cieślak, Tomasz; Winkler, Michael
2008
Li-Yorke sensitivity. Zbl 1045.37004
2003
On the regularity of the solutions of the Navier-Stokes equations via one velocity component. Zbl 1190.35179
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2010
Inertial energy dissipation for weak solutions of incompressible Euler and Navier-Stokes equations. Zbl 1009.35062
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2000
Symplectic integration of Hamiltonian systems. Zbl 0704.65052
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1990
Inverse scattering transform for the integrable nonlocal nonlinear Schrödinger equation. Zbl 1338.37099
Ablowitz, Mark J.; Musslimani, Ziad H.
2016
Stability in Cohen-Grossberg-type bidirectional associative memory neural networks with time-varying delays. Zbl 1118.37038
Cao, Jinde; Song, Qiankun
2006
The non-local Fisher-KPP equation: travelling waves and steady states. Zbl 1195.35088
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2009
Generic properties and problems of minimizing measures of Lagrangian systems. Zbl 0886.58037
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1996
Boussinesq equations and other systems for small-amplitude long waves in nonlinear dispersive media. II: The nonlinear theory. Zbl 1059.35103
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2004
Blow-up in multidimensional aggregation equations with mildly singular interaction kernels. Zbl 1194.35053
Bertozzi, Andrea L.; Carrillo, José A.; Laurent, Thomas
2009
A reaction-diffusion SIS epidemic model in a time-periodic environment. Zbl 1250.35172
Peng, Rui; Zhao, Xiao-Qiang
2012
From attractor to chaotic saddle: A tale of transverse instability. Zbl 0887.58034
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1996
Chimera states: coexistence of coherence and incoherence in networks of coupled oscillators. Zbl 1392.34036
Panaggio, Mark J.; Abrams, Daniel M.
2015
On the nonexistence, existence and uniqueness of limit cycles. Zbl 0886.58087
Giacomini, H.; Llibre, J.; Viano, M.
1996
Low-dimensional behaviour in the complex Ginzburg-Landau equation. Zbl 0655.58021
Doering, Charles R.; Gibbon, John D.; Holm, Darryl D.; Nicolaenko, Basil
1988
On the extension of the Painlevé property to difference equations. Zbl 0956.39003
Ablowitz, M. J.; Halburd, R.; Herbst, B.
2000
Ratio-dependent predator-prey model: effect of environmental fluctuation and stability. Zbl 1078.34035
2005
The nonlinear Schrödinger equation on the half-line. Zbl 1181.37095
Fokas, A. S.; Its, A. R.; Sung, L.-Y.
2005
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
1998
Energy conservation and Onsager’s conjecture for the Euler equations. Zbl 1138.76020
Cheskidov, A.; Constantin, P.; Friedlander, S.; Shvydkoy, R.
2008
One component regularity for the Navier-Stokes equations. Zbl 1149.35069
Kukavica, Igor; Ziane, Mohammed
2006
Extracting macroscopic dynamics: model problems and algorithms. Zbl 1073.82038
Givon, Dror; Kupferman, Raz; Stuart, Andrew
2004
Spacetime chaos in coupled map lattices. Zbl 0679.58028
Bunimovich, L. A.; Sinaj, Ya. G.
1988
Pattern formation in the one-dimensional Gray-Scott model. Zbl 0905.35044
Doelman, Arjen; Kaper, Tasso J.; Zegeling, Paul A.
1997
A free boundary problem for a predator-prey model. Zbl 1126.35111
Lin, Zhigui
2007
Recycling of strange sets. I: Cycle expansions. II: Applications. Zbl 0702.58064
Artuso, Roberto; Aurell, Erik; Cvitanović, Predrag
1990
Quantitative perturbative study of convergence to equilibrium for collisional kinetic models in the torus. Zbl 1169.82306
Mouhot, Clément; Neumann, Lukas
2006
A gradient structure for reaction-diffusion systems and for energy-drift-diffusion systems. Zbl 1227.35161
Mielke, Alexander
2011
Attractors for modulation equations on unbounded domains – existence and comparison. Zbl 0833.35016
Mielke, Alexander; Schneider, Guido
1995
On the initial value problem for the Davey-Stewartson systems. Zbl 0727.35111
Ghidaglia, Jean-Michel; Saut, Jean-Claude
1990
Stabilization in a two-species chemotaxis system with a logistic source. Zbl 1260.92014
Tello, J. I.; Winkler, M.
2012
Attractors for non-compact semigroups via energy equations. Zbl 0914.35023
Moise, Ioana; Rosa, Ricardo; Wang, Xiaoming
1998
Stronger forms of sensitivity for dynamical systems. Zbl 1132.54023
Moothathu, T. K. Subrahmonian
2007
Existence of ground states for a modified nonlinear Schrödinger equation. Zbl 1189.35316
Ruiz, David; Siciliano, Gaetano
2010
Inverse scattering transform for the Degasperis-Procesi equation. Zbl 1211.37081
Constantin, Adrian; Ivanov, Rossen I.; Lenells, Jonatan
2010
Large deviations estimates for dynamical systems without the specification property. Application to the $$\beta$$-shifts. Zbl 1069.60029
Pfister, C.-E.; Sullivan, W. G.
2005
Solitary waves on FPU lattices. I: Qualitative properties, renormalization and continuum limit. Zbl 0962.82015
Friesecke, G.; Pego, R. L.
1999
Ground states for fractional Schrödinger equations with critical growth. Zbl 1287.35027
Shang, Xudong; Zhang, Jihui
2014
Ruelle-Perron-Frobenius spectrum for Anosov maps. Zbl 1021.37015
Blank, Michael; Keller, Gerhard; Liverani, Carlangelo
2002
Delay-dependent stability of neural networks of neutral type with time delay in the leakage term. Zbl 1196.82102
Li, Xiaodi; Cao, Jinde
2010
The boundedness-by-entropy method for cross-diffusion systems. Zbl 1326.35175
Jüngel, Ansgar
2015
Swarm dynamics and equilibria for a nonlocal aggregation model. Zbl 1288.92031
Fetecau, R. C.; Huang, Y.; Kolokolnikov, T.
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
2009
Determining nodes, finite differences schemes and inertial manifolds. Zbl 0714.34078
Foias, Ciprian; Titi, Edriss S.
1991
Synchronization in networks of nonlinear dynamical systems coupled via a directed graph. Zbl 1089.37024
Wu, Chai Wah
2005
Gap solitons in periodic discrete nonlinear Schrödinger equations. Zbl 1220.35163
Pankov, A.
2006
An extension of integrable peakon equations with cubic nonlinearity. Zbl 1171.37331
Geng, Xianguo; Xue, Bo
2009
Eleven small limit cycles in a cubic vector field. Zbl 0837.34042
Żołądek, Henryk
1995
On stationary patterns of a reaction-diffusion model with autocatalysis and saturation law. Zbl 1148.35094
Peng, Rui; Shi, Junping; Wang, Mingxin
2008
Yang-Mills fields on quaternionic spaces. Zbl 0681.53037
Capria, M. Mamone; Salamon, S. M.
1988
Smooth attractors for strongly damped wave equations. Zbl 1113.35023
Pata, Vittorino; Zelik, Sergey
2006
Integrable multidimensional versions of the nonlocal nonlinear Schrödinger equation. Zbl 1339.37066
Fokas, A. S.
2016
Nonlinear modulation of gravity waves: A region approach. Zbl 0742.76012
Craig, W.; Sulem, C.; Sulem, P. L.
1992
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.
2016
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
2016
Large scale front dynamics for turbulent reaction-diffusion equations with separated velocity scales. Zbl 0839.76093
Majda, Andrew J.; Souganidis, Panagiotis E.
1994
The two loop soliton solution of the Vakhnenko equation. Zbl 0914.35115
Vakhnenko, V. O.; Parkes, E. J.
1998
Excitation thresholds for nonlinear localized modes on lattices. Zbl 0984.35147
Weinstein, M. I.
1999
The accuracy of symplectic integrators. Zbl 0747.58032
McLachlan, Robert I.; Atela, Pau
1992
On the regularity of the primitive equations of the ocean. Zbl 1136.35069
Kukavica, Igor; Ziane, Mohammed
2007
Stability and instability results for standing waves of quasi-linear Schrödinger equations. Zbl 1192.35163
Colin, Mathieu; Jeanjean, Louis; Squassina, Marco
2010
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.
2011
Ground states and concentration phenomena for the fractional Schrödinger equation. Zbl 1320.35320
Fall, Mouhamed Moustapha; Mahmoudi, Fethi; Valdinoci, Enrico
2015
Nonlinear dynamics and statistical physics of DNA. Zbl 1092.82015
Peyrard, Michel
2004
Cubic Liénard equations with linear damping. Zbl 0716.58023
Dumortier, Freddy; Rousseau, Christiane
1990
Finite-time aggregation into a single point in a reaction-diffusion system. Zbl 0909.35071
Herrero, M. A.; Medina, E.; Velázquez, J. J. L.
1997
A modified-Leray-$$\alpha$$ subgrid scale model of turbulence. Zbl 1106.35050
Ilyin, Alexei A.; Lunasin, Evelyn M.; Titi, Edriss S.
2006
Inviscid limits for the Navier-Stokes equations with Navier friction boundary conditions. Zbl 1169.35365
Iftimie, Dragoş; Planas, Gabriela
2006
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.
2004
Regularity of embeddings of infinite-dimensional fractal sets into finite-dimensional spaces. Zbl 0932.28006
Hunt, Brian R.; Kaloshin, Vadim Yu
1999
Universality in blow-up for nonlinear heat equations. Zbl 0857.35018
Bricmont, J.; Kupiainen, A.
1994
Linear estimate for the number of zeros of Abelian integrals with cubic Hamiltonians. Zbl 0921.58044
Horozov, Emil; Iliev, Iliya D.
1998
Monotone wavefronts of the nonlocal Fisher-KPP equation. Zbl 1231.35034
Fang, Jian; Zhao, Xiao-Qiang
2011
Global solutions for small data to the Hele-Shaw problem. Zbl 0808.35104
Constantin, P.; Pugh, M.
1993
Recent progress in understanding the transition to turbulence in pipe. Zbl 1084.76033
Kerswell, R. R.
2005
Decomposition of the $$(2+1)$$-dimensional Gardner equation and its quasi-periodic solutions. Zbl 1160.37405
Geng, Xianguo; Cao, Cewen
2001
Global solution for a chemotactic-haptotactic model of cancer invasion. Zbl 1160.35431
Tao, Youshan; Wang, Mingjun
2008
Asymptotic stability of solitons of the subcritical gKdV equations revisited. Zbl 1064.35171
Martel, Yvan; Merle, Frank
2005
Equivariant Hopf bifurcation in a ring of identiacal cells with delayed coupling. Zbl 1094.34049
Campbell, Sue Ann; Yuan, Yuan; Bungay, Sharene D.
2005
The integrability problem for a class of planar systems. Zbl 1165.34023
Algaba, A.; Gamero, E.; García, C.
2009
Asymptotic behaviour of solutions of planar elliptic systems with strong competition. Zbl 1132.35482
Wei, Juncheng; Weth, Tobias
2008
An analytical approach to the Schrödinger-Newton equations. Zbl 0942.35077
Tod, Paul; Moroz, Irene M.
1999
Ergodic theory of equilibrium states for rational maps. Zbl 0718.58035
Denker, M.; Urbański, M.
1991
Superlinear nonlocal fractional problems with infinitely many solutions. Zbl 1322.35158
Zhang, Binlin; Molica Bisci, Giovanni; Servadei, Raffaella
2015
Planar systems of piecewise linear differential equations with a line of discontinuity. Zbl 1003.34009
Giannakopoulos, Fotios; Pliete, Karin
2001
A review of linear response theory for general differentiable dynamical systems. Zbl 1158.37305
Ruelle, David
2009
Entire solutions of a diffusive and competitive Lotka-Volterra type system with nonlocal delays. Zbl 1200.35173
Wang, Mingxin; Lv, Guangying
2010
A phase field formulation of the Willmore problem. Zbl 1125.35366
Du, Qiang; Liu, Chun; Ryham, Rolf; Wang, Xiaoqiang
2005
KAM theory without action-angle variables. Zbl 1067.37081
de la Llave, R.; González, A.; Jorba, À.; Villanueva, J.
2005
Dynamics of radial solutions for the focusing fourth-order nonlinear Schrödinger equations. Zbl 07312085
Dinh, Van Duong
2021
Extremes and extremal indices for level set observables on hyperbolic systems. Zbl 1464.37005
Carney, Meagan; Holland, Mark; Nicol, Matthew
2021
Higher-dimensional Euler fluids and Hasimoto transform: counterexamples and generalizations. Zbl 1459.76032
Khesin, Boris; Yang, Cheng
2021
Roots of generalised Hermite polynomials when both parameters are large. Zbl 1460.33012
Masoero, Davide; Roffelsen, Pieter
2021
On the origins of Riemann-Hilbert problems in mathematics. Zbl 1462.30070
Bothner, Thomas
2021
Asymptotics for the second-largest Lyapunov exponent for some Perron-Frobenius operator cocycles. Zbl 1466.37045
Horan, Joseph
2021
Torus knot choreographies in the $$n$$-body problem. Zbl 07303400
Calleja, Renato; García-Azpeitia, Carlos; Lessard, Jean-Philippe; Mireles James, J. D.
2021
Moments of generalized Cauchy random matrices and continuous-Hahn polynomials. Zbl 1467.60004
Assiotis, Theodoros; Bedert, Benjamin; Gunes, Mustafa Alper; Soor, Arun
2021
Statistical properties of physical-like measures. Zbl 1464.37033
Gan, Shaobo; Yang, Fan; Yang, Jiagang; Zheng, Rusong
2021
Relaxation oscillations in substrate-depletion oscillators close to the nonsmooth limit. Zbl 07324148
Uldall Kristiansen, K.; Szmolyan, P.
2021
Traveling fronts in dissipative granular chains and nonlinear lattices. Zbl 1462.37084
James, Guillaume
2021
One-dimensional multi-agent optimal control with aggregation and distance constraints: qualitative properties and mean-field limit. Zbl 1467.82048
Cesaroni, Annalisa; Cirant, Marco
2021
Global weak solutions to a Navier-Stokes-Cahn-Hilliard system with chemotaxis and singular potential. Zbl 1464.35058
He, Jingning
2021
Some properties of circle maps with zero topological entropy. Zbl 07353379
Yang, Yini
2021
The classical Kelvin-Voigt problem for incompressible fluids with unknown non-constant density: existence, uniqueness and regularity. Zbl 07353387
Antontsev, S. N.; de Oliveira, H. B.; Khompysh, Kh
2021
Response solutions to the quasi-periodically forced systems with degenerate equilibrium: a simple proof of a result of W. Si and J. Si and extensions. Zbl 07303402
Cheng, Hongyu; de la Llave, Rafael; Wang, Fenfen
2021
On some rigorous aspects of fragmented condensation. Zbl 1452.81175
Dimonte, Daniele; Falconi, Marco; Olgiati, Alessandro
2021
Extreme value distributions of observation recurrences. Zbl 07278342
Caby, Theo; Faranda, Davide; Vaienti, S.; Yiou, Pascal
2021
Asymptotic spreading speeds for a predator-prey system with two predators and one prey. Zbl 1458.35106
Ducrot, Arnaud; Giletti, Thomas; Guo, Jong-Shenq; Shimojo, Masahiko
2021
Symmetry of positive solutions of elliptic equations with mixed boundary conditions in a sub-spherical sector. Zbl 1467.35173
Chen, Hongbin; Li, Rui; Yao, Ruofei
2021
Computing Garsia entropy for Bernoulli convolutions with algebraic parameters. Zbl 07364242
Hare, Kevin G.; Kempton, Tom; Persson, Tomas; Sidorov, Nikita
2021
Nonlinear stability of fast invading fronts in a Ginzburg-Landau equation with an additional conservation law. Zbl 07371844
Hilder, Bastian
2021
Semiclassical states for Choquard type equations with critical growth: critical frequency case. Zbl 1454.35085
Ding, Yanheng; Gao, Fashun; Yang, Minbo
2020
Positive transversality via transfer operators and holomorphic motions with applications to monotonicity for interval maps. Zbl 1453.37044
Levin, Genadi; Shen, Weixiao; van Strien, Sebastian
2020
Symplectic classification of coupled angular momenta. Zbl 1435.37081
Alonso, Jaume; Dullin, Holger R.; Hohloch, Sonja
2020
Geometric ergodicity of Langevin dynamics with Coulomb interactions. Zbl 1427.82024
Lu, Yulong; Mattingly, Jonathan C.
2020
Finite crystallization and Wulff shape emergence for ionic compounds in the square lattice. Zbl 1434.82084
Friedrich, Manuel; Kreutz, Leonard
2020
On global-in-time weak solutions to the magnetohydrodynamic system of compressible inviscid fluids. Zbl 1425.35150
Feireisl, Eduard; Li, Yang
2020
Completely degenerate responsive tori in Hamiltonian systems. Zbl 1455.37048
Si, Wen; Yi, Yingfei
2020
Upper semi-continuous convergence of attractors for a Hopfield-type lattice model. Zbl 1444.34029
Han, Xiaoying; Kloden, Peter E.; Usman, Basiru
2020
Hausdorff dimension of an exceptional set in the theory of continued fractions. Zbl 1446.11146
Bakhtawar, Ayreena; Bos, Philip; Hussain, Mumtaz
2020
Low Mach number limit on thin domains. Zbl 1433.35261
Caggio, Matteo; Donatelli, Donatella; Nečasová, Šárka; Sun, Yongzhong
2020
Local existence, global existence and blow-up of solutions to a nonlocal Kirchhoff diffusion problem. Zbl 1430.35124
Ding, Hang; Zhou, Jun
2020
Unique equilibrium states for geodesic flows over surfaces without focal points. Zbl 1437.37043
Chen, Dong; Kao, Lien-Yung; Park, Kiho
2020
Unique continuation principles for a higher order fractional Laplace equation. Zbl 1460.35373
Felli, Veronica; Ferrero, Alberto
2020
Nekhoroshev estimates for steep real-analytic elliptic equilibrium points. Zbl 1429.37031
Bounemoura, Abed; Fayad, Bassam; Niederman, Laurent
2020
Global structure of subharmonics in a class of periodic predator-prey models. Zbl 1431.34066
López-Gómez, Julián; Muñoz-Hernández, Eduardo
2020
Regularisation for planar vector fields. Zbl 1428.37027
Duignan, Nathan; Dullin, Holger R.
2020
A proof of unlimited multistability for phosphorylation cycles. Zbl 1456.34047
Feliu, Elisenda; Rendall, Alan D.; Wiuf, Carsten
2020
Nonradial solutions of nonlinear scalar field equations. Zbl 1465.35156
Mederski, Jarosław
2020
Traveling wave solutions for the FPU chain: a constructive approach. Zbl 1444.34077
Arioli, Gianni; Koch, Hans
2020
Global well-posedness for the primitive equations coupled to nonlinear moisture dynamics with phase changes. Zbl 1447.35267
Hittmeir, Sabine; Klein, Rupert; Li, Jinkai; Titi, Edriss S.
2020
Discontinuous shock solutions of the Whitham modulation equations as zero dispersion limits of traveling waves. Zbl 1440.35212
Sprenger, Patrick; Hoefer, Mark A.
2020
Mumford-Shah functionals on graphs and their asymptotics. Zbl 1442.49020
Caroccia, Marco; Chambolle, Antonin; Slepčev, Dejan
2020
From weakly interacting particles to a regularised Dean-Kawasaki model. Zbl 1439.60059
Cornalba, Federico; Shardlow, Tony; Zimmer, Johannes
2020
The geometry of nonholonomic Chaplygin systems revisited. Zbl 07166291
García-Naranjo, Luis C.; Marrero, Juan C.
2020
Energy equality for the Navier-Stokes equations in weak-in-time Onsager spaces. Zbl 1434.35045
Cheskidov, Alexey; Luo, Xiaoyutao
2020
A regularity result for the incompressible magnetohydrodynamics equations with free surface boundary. Zbl 1434.35111
Luo, Chenyun; Zhang, Junyan
2020
Convergence of a Robin boundary approximation for a Cahn-Hilliard system with dynamic boundary conditions. Zbl 1461.35099
Knopf, Patrik; Lam, Kei Fong
2020
Renormalization and universality of the Hofstadter spectrum. Zbl 1464.37049
Koch, Hans; Kocić, Saša
2020
On the existence time for the Kirchhoff equation with periodic boundary conditions. Zbl 1437.35506
Baldi, Pietro; Haus, Emanuele
2020
Folding points of unimodal inverse limit spaces. Zbl 1431.37034
Alvin, Lori; Anušić, Ana; Bruin, Henk; Činč, Jernej
2020
First return maps of random maps and invariant measures. Zbl 1432.37079
Inoue, Tomoki
2020
On the uniqueness of the isosceles trapezoidal central configuration in the 4-body problem for power-law potentials. Zbl 07141383
Fernandes, Antonio Carlos; Mello, Luis Fernando; Vidal, Claudio
2020
Discretization and superintegrability all rolled into one. Zbl 1445.14054
Tsiganov, A. V.
2020
On omega limiting sets of infinite dimensional Volterra operators. Zbl 1457.37018
2020
Synchronization of Kuramoto oscillators in dense networks. Zbl 07278296
Lu, Jianfeng; Steinerberger, Stefan
2020
Non-regular $$g$$-measures and variable length memory chains. Zbl 1456.60079
Ferreira, Ricardo F.; Gallo, Sandro; Paccaut, Frédéric
2020
Shocks make the Riemann problem for the full Euler system in multiple space dimensions ill-posed. Zbl 1453.35143
Klingenberg, Christian; Kreml, Ondřej; Mácha, Václav; Markfelder, Simon
2020
Thresholds for one-parameter families of affine iterated function systems. Zbl 1454.28014
Vince, Andrew
2020
Can simultaneous density-determined enhancement of diffusion and cross-diffusion foster boundedness in Keller-Segel type systems involving signal-dependent motilities? Zbl 1454.35224
Winkler, Michael
2020
On topological classification of Morse-Smale diffeomorphisms on the sphere $$S^n$$ $$(n>3)$$. Zbl 1455.37019
Grines, V.; Gurevich, E.; Pochinka, O.; Malyshev, D.
2020
Breather solutions of the cubic Klein-Gordon equation. Zbl 1452.35107
Scheider, Dominic
2020
Modeling shallow water waves. Zbl 1442.35462
Lannes, D.
2020
Anisotropic nematic liquid crystals in an applied magnetic field. Zbl 1439.82052
Kim, Soojung; Pan, Xing-Bin
2020
Two-community noisy Kuramoto model. Zbl 1445.60077
Meylahn, J. M.
2020
On the Euler-alignment system with weakly singular communication weights. Zbl 1442.35479
Tan, Changhui
2020
On a singular eigenvalue problem and its applications in computing the Morse index of solutions to semilinear PDE’s. II. Zbl 1441.35112
2020
The profile of chiral skyrmions of small radius. Zbl 1440.82011
Komineas, Stavros; Melcher, Christof; Venakides, Stephanos
2020
The impact of multiplicative noise in SPDEs close to bifurcation via amplitude equations. Zbl 1464.60058
Blömker, Dirk; Fu, Hongbo
2020
Variational approach of critical sharp front speeds in degenerate diffusion model with time delay. Zbl 1439.35299
Xu, Tianyuan; Ji, Shanming; Mei, Ming; Yin, Jingxue
2020
Steady incompressible axially symmetric Réthy flows. Zbl 1445.76012
Cheng, Jianfeng; Du, Lili; Xiang, Wei
2020
Spot patterns of the Schnakenberg reaction-diffusion system on a curved torus. Zbl 1430.35133
Tzou, J. C.; Tzou, L.
2020
Prehamiltonian and Hamiltonian operators for differential-difference equations. Zbl 1436.37076
Carpentier, Sylvain; Mikhailov, Alexander V.; Wang, Jing Ping
2020
Linear stability of the elliptic relative equilibrium with $$(1 + n)$$-gon central configurations in planar $$n$$-body problem. Zbl 1437.37066
Hu, Xijun; Long, Yiming; Ou, Yuwei
2020
Integrability, exact reductions and special solutions of the KP-Whitham equations. Zbl 07327532
Biondini, Gino; Hoefer, Mark A.; Moro, Antonio
2020
Existence of noise induced order, a computer aided proof. Zbl 07327536
Galatolo, Stefano; Monge, Maurizio; Nisoli, Isaia
2020
Forwards attraction properties in scalar non-autonomous linear-dissipative parabolic PDEs. The case of null upper Lyapunov exponent. Zbl 1464.37079
Langa, José A.; Obaya, Rafael; Sanz, Ana M.
2020
Topological sensitivities via a Lagrangian approach for semilinear problems. Zbl 1460.49034
Sturm, Kevin
2020
On the global regularity for the anisotropic dissipative surface quasi-geostrophic equation. Zbl 1429.35206
Ye, Zhuan
2020
Contour dynamics for surface quasi-geostrophic fronts. Zbl 1450.35217
Hunter, John K.; Shu, Jingyang; Zhang, Qingtian
2020
Construction of nonlinear lattice with potential symmetry for smooth propagation of discrete breather. Zbl 1451.82033
Doi, Yusuke; Yoshimura, Kazuyuki
2020
Local well-posedness of the topological Euler alignment models of collective behavior. Zbl 1451.92350
Reynolds, David N.; Shvydkoy, Roman
2020
Large time asymptotics for the cylindrical Korteweg-de Vries equation. I. Zbl 1451.35163
Its, A.; Sukhanov, V.
2020
Madelung transform and probability densities in hybrid quantum-classical dynamics. Zbl 1454.35310
Gay-Balmaz, François; Tronci, Cesare
2020
No solitary waves in 2D gravity and capillary waves in deep water. Zbl 1459.76029
Ifrim, Mihaela; Tataru, Daniel
2020
Stationary shock-like transition fronts in dispersive systems. Zbl 1452.35101
Gavrilyuk, Sergey; Nkonga, Boniface; Shyue, Keh-Ming; Truskinovsky, Lev
2020
Transfer operator approach to ray-tracing in circular domains. Zbl 1455.37068
Slipantschuk, J.; Richter, Martin; Chappell, David J.; Tanner, Gregor; Just, W.; Bandtlow, O. F.
2020
Asymptotic analysis of selection-mutation models in the presence of multiple fitness peaks. Zbl 1454.35398
Lorenzi, Tommaso; Pouchol, Camille
2020
Large deviations for denominators of continued fractions. Zbl 07278294
Takahasi, Hiroki
2020
Energy asymptotics of a Dirichlet to Neumann problem related to water waves. Zbl 1453.76026
Miraglio, Pietro; Valdinoci, Enrico
2020
Topological Hausdorff dimension of fractal squares and its application to Lipschitz classification. Zbl 1453.28009
Ma, Ji-hua; Zhang, Yan-fang
2020
Global existence and blow-up of solutions to a nonlocal Kirchhoff diffusion problem. Zbl 1452.35073
Ding, Hang; Zhou, Jun
2020
On the smallness condition in linear inviscid damping: monotonicity and resonance chains. Zbl 1456.76044
Deng, Yu; Zillinger, Christian
2020
Alsedà-Misiurewicz systems with place-dependent probabilities. Zbl 1461.37039
Czudek, Klaudiusz
2020
Fourier approximation of the statistical properties of Anosov maps on tori. Zbl 1459.37081
Crimmins, Harry; Froyland, Gary
2020
The mean-field equation of a leaky integrate-and-fire neural network: measure solutions and steady states. Zbl 1455.35277
Dumont, Grégory; Gabriel, Pierre
2020
Rigorous justification of the hydrostatic approximation for the primitive equations by scaled Navier-Stokes equations. Zbl 1452.35150
Furukawa, Ken; Giga, Yoshikazu; Hieber, Matthias; Hussein, Amru; Kashiwabara, Takahito; Wrona, Marc
2020
Exponential law for random maps on compact manifolds. Zbl 1455.37006
Haydn, Nicolai T. A.; Rousseau, Jérôme; Yang, Fan
2020
Gradient invariance of slow energy descent: spectral renormalization and energy landscape techniques. Zbl 1452.35031
Cakir, Hayriye Guckir; Promislow, Keith
2020
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#### Cited by 21,290 Authors

 185 Llibre, Jaume 85 Titi, Edriss Saleh 83 Guo, Boling 67 Ha, Seung-Yeal 67 Li, Wan-Tong 66 Mu, Chunlai 64 Winkler, Michael 62 Algaba, Antonio 62 Wei, Juncheng 59 Cao, Jinde 58 Han, Maoan 57 de la Llave, Rafael 57 Geng, Xianguo 57 Kevrekidis, Panayotis G. 56 Pelinovsky, Dmitry Efimovich 55 Valls Anglés, Cláudia 55 Wu, Jiahong 54 Temam, Roger Meyer 53 Giné, Jaume 50 Majda, Andrew J. 48 Carrillo de la Plata, José Antonio 48 Knobloch, Edgar 47 Ashwin, Peter 45 Kukavica, Igor 44 Melbourne, Ian 43 Duan, Jinqiao 42 Tang, Xianhua 42 Zhang, Binlin 40 Yu, Pei 39 Chen, Guanrong 39 García, Cristóbal 39 Kevrekidis, Ioannis George 39 MacKay, Robert Sinclair 39 Wang, Bixiang 38 Shi, Junping 38 Stewart, Ian Nicholas 37 Constantin, Peter 37 Jüngel, Ansgar 37 Vaienti, Sandro 37 Varandas, Paulo 36 Urbański, Mariusz 36 Wei, Junjie 35 Feireisl, Eduard 35 Gardini, Laura 35 Gasull, Armengol 35 Krauskopf, Bernd 35 Rădulescu, Vicenţiu D. 35 Schneider, Guido 35 Turaev, Dmitry V. 35 Xu, Junxiang 34 Cordoba, Diego 34 Kühn, Christian 34 Langa, Jose’ Antonio 34 Mielke, Alexander 34 Tachim Medjo, Theodore 34 Wu, Xinxing 34 Zhang, Zujin 33 Lopes, Artur Oscar 33 Oprocha, Piotr 33 Tao, Youshan 33 Zelik, Sergey V. 32 Guo, Shangjiang 32 He, Jingsong 32 Ruan, Shigui 32 Xiang, Mingqi 32 Zhao, Caidi 31 Borisov, Alekseĭ Vladimirovich 31 Chae, Dongho 31 Froyland, Gary 31 Lin, Zhigui 31 Perthame, Benoît 31 Shen, Wenxian 31 Xi, Lifeng 31 Zhang, Xiang 30 Fan, Jishan 30 Gao, Hongjun 30 Robinson, James Cooper 30 Wang, Zhi Cheng 30 Zaag, Hatem 30 Zhao, Yulin 29 Broer, Henk W. 29 Meiss, James D. 29 Osinga, Hinke Maria 29 Vicol, Vlad C. 29 Wu, Shiliang 29 Ye, Xiangdong 28 Ambrosio, Vincenzo 28 Feng, Zhaosheng 28 Galaktionov, Victor Aleksandrovich 28 Galatolo, Stefano 28 Grasselli, Maurizio 28 Jiang, Jifa 28 Li, Fucai 28 Liu, Zhengrong 28 Marsden, Jerrold Eldon 28 Saut, Jean-Claude 28 Wiggins, Stephen 27 Choi, Young-Pil 27 Nicol, Matthew 27 Si, Jianguo ...and 21,190 more Authors
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 1,315 Journal of Differential Equations 1,002 Physica D 967 Journal of Mathematical Analysis and Applications 691 Journal of Mathematical Physics 663 Chaos 658 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 611 Communications in Mathematical Physics 543 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 521 Discrete and Continuous Dynamical Systems 516 Nonlinearity 414 Journal of Statistical Physics 400 Ergodic Theory and Dynamical Systems 365 Nonlinear Analysis. Real World Applications 350 Archive for Rational Mechanics and Analysis 323 Journal of Nonlinear Science 318 Chaos, Solitons and Fractals 299 Discrete and Continuous Dynamical Systems. Series B 288 Applied Mathematics and Computation 276 Journal of Dynamics and Differential Equations 269 ZAMP. Zeitschrift für angewandte Mathematik und Physik 269 Communications in Nonlinear Science and Numerical Simulation 262 Journal of Fluid Mechanics 258 SIAM Journal on Mathematical Analysis 254 Nonlinear Dynamics 251 Transactions of the American Mathematical Society 241 Proceedings of the American Mathematical Society 211 Journal of Computational Physics 207 Applied Mathematics Letters 204 Dynamical Systems 203 Advances in Mathematics 191 SIAM Journal on Applied Dynamical Systems 173 Computers & Mathematics with Applications 173 Calculus of Variations and Partial Differential Equations 168 Regular and Chaotic Dynamics 165 Communications on Pure and Applied Analysis 164 Applicable Analysis 163 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 162 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 147 Abstract and Applied Analysis 142 Journal of Functional Analysis 137 Mathematical Methods in the Applied Sciences 131 Journal of Computational and Applied Mathematics 129 Journal of Mathematical Fluid Mechanics 124 Physics of Fluids 122 Journal of Mathematical Biology 121 Qualitative Theory of Dynamical Systems 118 Communications in Partial Differential Equations 117 Acta Applicandae Mathematicae 116 Journal of Geometry and Physics 115 Advances in Difference Equations 108 Acta Mathematica Sinica. English Series 108 Journal of Nonlinear Mathematical Physics 107 Science China. Mathematics 106 Journal de Mathématiques Pures et Appliquées. Neuvième Série 103 Celestial Mechanics and Dynamical Astronomy 100 Journal of Difference Equations and Applications 97 Comptes Rendus. Mathématique. Académie des Sciences, Paris 95 Theoretical and Mathematical Physics 91 Discrete and Continuous Dynamical Systems. Series S 88 Studies in Applied Mathematics 85 Stochastics and Dynamics 84 NoDEA. Nonlinear Differential Equations and Applications 82 Israel Journal of Mathematics 82 Annales Henri Poincaré 76 Topology and its Applications 75 SIAM Journal on Applied Mathematics 73 Physics Letters. A 73 Inventiones Mathematicae 73 Boundary Value Problems 72 Chinese Annals of Mathematics. Series B 70 Monatshefte für Mathematik 69 Journal of Evolution Equations 67 Journal of High Energy Physics 62 Journal of Theoretical Biology 61 Communications on Pure and Applied Mathematics 61 Mathematische Zeitschrift 61 Journal of Scientific Computing 61 Communications in Contemporary Mathematics 61 Journal of Physics A: Mathematical and Theoretical 59 Annales de l’Institut Fourier 59 Bulletin des Sciences Mathématiques 59 Journal of Dynamical and Control Systems 58 Bulletin of Mathematical Biology 58 Applied Numerical Mathematics 57 Annali di Matematica Pura ed Applicata. Serie Quarta 57 Discrete Dynamics in Nature and Society 56 Mathematische Annalen 54 Mathematics and Computers in Simulation 54 Stochastic Processes and their Applications 53 Journal of the Franklin Institute 53 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 53 Journal of Mathematical Sciences (New York) 52 Numerische Mathematik 52 Complex Variables and Elliptic Equations 52 Kinetic and Related Models 51 Computer Methods in Applied Mechanics and Engineering 51 Letters in Mathematical Physics 50 Advanced Nonlinear Studies 50 Advances in Nonlinear Analysis 49 Bulletin of the Brazilian Mathematical Society. New Series ...and 691 more Journals
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#### Cited in 63 Fields

 11,447 Partial differential equations (35-XX) 8,933 Dynamical systems and ergodic theory (37-XX) 4,156 Ordinary differential equations (34-XX) 3,980 Fluid mechanics (76-XX) 2,947 Biology and other natural sciences (92-XX) 1,626 Numerical analysis (65-XX) 1,577 Statistical mechanics, structure of matter (82-XX) 1,522 Mechanics of particles and systems (70-XX) 1,489 Probability theory and stochastic processes (60-XX) 1,012 Quantum theory (81-XX) 863 Measure and integration (28-XX) 720 Systems theory; control (93-XX) 706 Global analysis, analysis on manifolds (58-XX) 685 Operator theory (47-XX) 632 Differential geometry (53-XX) 612 Calculus of variations and optimal control; optimization (49-XX) 605 Mechanics of deformable solids (74-XX) 478 Geophysics (86-XX) 456 Difference and functional equations (39-XX) 453 Number theory (11-XX) 362 Functions of a complex variable (30-XX) 327 General topology (54-XX) 319 Computer science (68-XX) 317 Optics, electromagnetic theory (78-XX) 264 Classical thermodynamics, heat transfer (80-XX) 243 Functional analysis (46-XX) 230 Integral equations (45-XX) 212 Real functions (26-XX) 203 Special functions (33-XX) 203 Harmonic analysis on Euclidean spaces (42-XX) 196 Algebraic geometry (14-XX) 191 Linear and multilinear algebra; matrix theory (15-XX) 189 Statistics (62-XX) 185 Information and communication theory, circuits (94-XX) 163 Combinatorics (05-XX) 160 Several complex variables and analytic spaces (32-XX) 159 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 124 Manifolds and cell complexes (57-XX) 121 Operations research, mathematical programming (90-XX) 118 Relativity and gravitational theory (83-XX) 75 Approximations and expansions (41-XX) 74 Nonassociative rings and algebras (17-XX) 72 Group theory and generalizations (20-XX) 70 Topological groups, Lie groups (22-XX) 67 Astronomy and astrophysics (85-XX) 64 Convex and discrete geometry (52-XX) 52 Potential theory (31-XX) 37 General and overarching topics; collections (00-XX) 33 Algebraic topology (55-XX) 31 Mathematical logic and foundations (03-XX) 28 Integral transforms, operational calculus (44-XX) 26 Geometry (51-XX) 25 Commutative algebra (13-XX) 24 History and biography (01-XX) 22 Field theory and polynomials (12-XX) 22 Sequences, series, summability (40-XX) 21 Abstract harmonic analysis (43-XX) 19 Associative rings and algebras (16-XX) 10 Order, lattices, ordered algebraic structures (06-XX) 5 Category theory; homological algebra (18-XX) 2 General algebraic systems (08-XX) 2 $$K$$-theory (19-XX) 1 Mathematics education (97-XX)