## 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: 4,516 Publications (since 1988) References Indexed: 1,147 Publications with 40,189 References.
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### Authors

 29 MacKay, Robert Sinclair 21 Krauskopf, Bernd 19 Kukavica, Igor 19 Titi, Edriss Saleh 19 Zakrzewski, Wojciech J. 18 Gibbon, John D. 18 Llibre, Jaume 17 Melbourne, Ian 17 Vivaldi, Franco 16 Ashwin, Peter 16 Bunimovich, Leonid Abramovich 16 Simó, Carles 15 Broer, Henk W. 15 Constantin, Peter 15 Eckmann, Jean-Pierre 15 Majda, Andrew J. 14 Díaz, Lorenzo Justiniano 14 Meiss, James D. 14 Pelinovsky, Dmitry Efimovich 14 Robinson, James Cooper 14 Turaev, Dmitry V. 13 Bizoń, Piotr 13 Fokas, Athanassios S. 13 Glendinning, Paul Alexander 13 Kevrekidis, Panayotis G. 13 Ryzhik, Lenya 13 Vaienti, Sandro 12 Collet, Pierre 12 de la Llave, Rafael 12 Golubitsky, Martin A. 12 Keller, Gerhard 11 Dullin, Holger R. 11 Forrester, Peter J. 11 Froyland, Gary 11 Keating, Jonathan Peter 11 Lamb, Jeroen S. W. 11 Troubetzkoy, Serge Eugene 11 Wu, Jiahong 11 Yagasaki, Kazuyuki 10 Afraimovich, Valentin S. 10 Galatolo, Stefano 10 Joshi, Nalini 10 King, John Robert 10 Li, Wenxia 10 Nicol, Matthew 10 Sandstede, Björn 10 Scheel, Arnd 10 Sutcliffe, Paul Michael 10 Urbański, Mariusz 10 Winkler, Michael 10 Young, Lai-Sang 9 Baladi, Viviane 9 Barreira, Luis Manuel 9 Chazottes, Jean-René 9 Cvitanović, Predrag 9 Dias, Ana Paula S. 9 Gelfreich, Vassili 9 Gonchenko, Sergey V. 9 Holm, Darryl Dallas 9 Knobloch, Edgar 9 Lebowitz, Joel Louis 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 8 Ablowitz, Mark Jay 8 Bahsoun, Wael 8 Bambusi, Dario 8 Blank, Michael 8 Bruin, Henk 8 Chae, Dongho 8 Champneys, Alan R. 8 Dumortier, Freddy 8 Feireisl, Eduard 8 Ha, Seung-Yeal 8 Haydn, Nicolai T. A. 8 Kevrekidis, Ioannis George 8 Lenells, Jonatan 8 Levi, Mark L. 8 Martín de Diego, David 8 Montgomery, Richard 8 Neĭshtadt, Anatoliĭ Iserovich 8 Ozorio de Almeida, Alfredo M. 8 Pego, Robert L. 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 Doelman, Arjen 7 Fernandez, Bastien 7 Field, Michael J. 7 Foiaş, Ciprian Ilie 7 Galaktionov, Victor Aleksandrovich ...and 5,158 more Authors
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### Fields

 2,367 Dynamical systems and ergodic theory (37-XX) 1,764 Partial differential equations (35-XX) 739 Ordinary differential equations (34-XX) 655 Fluid mechanics (76-XX) 364 Mechanics of particles and systems (70-XX) 319 Statistical mechanics, structure of matter (82-XX) 294 Biology and other natural sciences (92-XX) 291 Probability theory and stochastic processes (60-XX) 254 Quantum theory (81-XX) 229 Measure and integration (28-XX) 188 Numerical analysis (65-XX) 170 Global analysis, analysis on manifolds (58-XX) 124 Differential geometry (53-XX) 114 Number theory (11-XX) 106 Operator theory (47-XX) 95 Calculus of variations and optimal control; optimization (49-XX) 95 Mechanics of deformable solids (74-XX) 87 General topology (54-XX) 80 Difference and functional equations (39-XX) 79 Optics, electromagnetic theory (78-XX) 72 Functions of a complex variable (30-XX) 68 Geophysics (86-XX) 62 Systems theory; control (93-XX) 50 Integral equations (45-XX) 46 Linear and multilinear algebra; matrix theory (15-XX) 44 Special functions (33-XX) 43 Classical thermodynamics, heat transfer (80-XX) 40 Manifolds and cell complexes (57-XX) 38 Real functions (26-XX) 38 Functional analysis (46-XX) 33 Computer science (68-XX) 31 Algebraic geometry (14-XX) 31 Information and communication theory, circuits (94-XX) 30 Combinatorics (05-XX) 30 Harmonic analysis on Euclidean spaces (42-XX) 24 Approximations and expansions (41-XX) 21 Several complex variables and analytic spaces (32-XX) 19 Statistics (62-XX) 15 Convex and discrete geometry (52-XX) 15 Relativity and gravitational theory (83-XX) 14 Topological groups, Lie groups (22-XX) 14 Operations research, mathematical programming (90-XX) 12 Group theory and generalizations (20-XX) 12 Potential theory (31-XX) 11 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 9 Integral transforms, operational calculus (44-XX) 8 Mathematical logic and foundations (03-XX) 8 Commutative algebra (13-XX) 8 Astronomy and astrophysics (85-XX) 6 Nonassociative rings and algebras (17-XX) 6 Sequences, series, summability (40-XX) 5 Algebraic topology (55-XX) 3 Field theory and polynomials (12-XX) 3 Geometry (51-XX) 2 Associative rings and algebras (16-XX) 1 General and overarching topics; collections (00-XX) 1 Mathematics education (97-XX)

### Citations contained in zbMATH Open

3,872 Publications have been cited 44,327 times in 29,658 Documents Cited by Year
Formation of strong fronts in the 2-D quasigeostrophic thermal active scalar. Zbl 0809.35057
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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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Ground state of scalar field equations involving a fractional Laplacian with general nonlinearity. Zbl 1276.35080
Chang, X; Wang, Z.-Q.
2013
Inverse scattering transform for the integrable nonlocal nonlinear Schrödinger equation. Zbl 1338.37099
Ablowitz, Mark J.; Musslimani, Ziad H.
2016
Systems of differential equations which are competitive or cooperative. III: Competing species. Zbl 0658.34024
Hirsch, Morris W.
1988
Finite-time blow-up in a quasilinear system of chemotaxis. Zbl 1136.92006
Cieślak, Tomasz; Winkler, Michael
2008
The Cauchy problem for the Novikov equation. Zbl 1232.35145
Himonas, A. Alexandrou; Holliman, Curtis
2012
A reaction-diffusion SIS epidemic model in a time-periodic environment. Zbl 1250.35172
Peng, Rui; Zhao, Xiao-Qiang
2012
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
Nonlinear modelling of cancer: bridging the gap between cells and tumours. Zbl 1181.92046
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2010
Chimera states: coexistence of coherence and incoherence in networks of coupled oscillators. Zbl 1392.34036
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2015
Inertial energy dissipation for weak solutions of incompressible Euler and Navier-Stokes equations. Zbl 1009.35062
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2000
Li-Yorke sensitivity. Zbl 1045.37004
2003
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
The non-local Fisher-KPP equation: travelling waves and steady states. Zbl 1195.35088
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2009
On the regularity of the solutions of the Navier-Stokes equations via one velocity component. Zbl 1190.35179
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2010
Symplectic integration of Hamiltonian systems. Zbl 0704.65052
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1990
Stability in Cohen-Grossberg-type bidirectional associative memory neural networks with time-varying delays. Zbl 1118.37038
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2006
Energy conservation and Onsager’s conjecture for the Euler equations. Zbl 1138.76020
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2008
Ratio-dependent predator-prey model: effect of environmental fluctuation and stability. Zbl 1078.34035
2005
Blow-up in multidimensional aggregation equations with mildly singular interaction kernels. Zbl 1194.35053
Bertozzi, Andrea L.; Carrillo, José A.; Laurent, Thomas
2009
Generic properties and problems of minimizing measures of Lagrangian systems. Zbl 0886.58037
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1996
On the extension of the Painlevé property to difference equations. Zbl 0956.39003
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2000
From attractor to chaotic saddle: A tale of transverse instability. Zbl 0887.58034
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1996
The nonlinear Schrödinger equation on the half-line. Zbl 1181.37095
Fokas, A. S.; Its, A. R.; Sung, L.-Y.
2005
A gradient structure for reaction-diffusion systems and for energy-drift-diffusion systems. Zbl 1227.35161
Mielke, Alexander
2011
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
On the nonexistence, existence and uniqueness of limit cycles. Zbl 0886.58087
Giacomini, H.; Llibre, J.; Viano, M.
1996
Stabilization in a two-species chemotaxis system with a logistic source. Zbl 1260.92014
Tello, J. I.; Winkler, M.
2012
Low-dimensional behaviour in the complex Ginzburg-Landau equation. Zbl 0655.58021
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1988
Extracting macroscopic dynamics: model problems and algorithms. Zbl 1073.82038
Givon, Dror; Kupferman, Raz; Stuart, Andrew
2004
Pattern formation in the one-dimensional Gray-Scott model. Zbl 0905.35044
Doelman, Arjen; Kaper, Tasso J.; Zegeling, Paul A.
1997
Quantitative perturbative study of convergence to equilibrium for collisional kinetic models in the torus. Zbl 1169.82306
Mouhot, Clément; Neumann, Lukas
2006
One component regularity for the Navier-Stokes equations. Zbl 1149.35069
Kukavica, Igor; Ziane, Mohammed
2006
A free boundary problem for a predator-prey model. Zbl 1126.35111
Lin, Zhigui
2007
Existence of ground states for a modified nonlinear Schrödinger equation. Zbl 1189.35316
Ruiz, David; Siciliano, Gaetano
2010
Stronger forms of sensitivity for dynamical systems. Zbl 1132.54023
Moothathu, T. K. Subrahmonian
2007
Spacetime chaos in coupled map lattices. Zbl 0679.58028
Bunimovich, L. A.; Sinaj, Ya. G.
1988
Integrable multidimensional versions of the nonlocal nonlinear Schrödinger equation. Zbl 1339.37066
Fokas, A. S.
2016
Recycling of strange sets. I: Cycle expansions. II: Applications. Zbl 0702.58064
Artuso, Roberto; Aurell, Erik; Cvitanović, Predrag
1990
Ground states for fractional Schrödinger equations with critical growth. Zbl 1287.35027
Shang, Xudong; Zhang, Jihui
2014
The boundedness-by-entropy method for cross-diffusion systems. Zbl 1326.35175
Jüngel, Ansgar
2015
On the initial value problem for the Davey-Stewartson systems. Zbl 0727.35111
Ghidaglia, Jean-Michel; Saut, Jean-Claude
1990
Smooth attractors for strongly damped wave equations. Zbl 1113.35023
Pata, Vittorino; Zelik, Sergey
2006
Attractors for modulation equations on unbounded domains – existence and comparison. Zbl 0833.35016
Mielke, Alexander; Schneider, Guido
1995
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
Swarm dynamics and equilibria for a nonlocal aggregation model. Zbl 1288.92031
Fetecau, R. C.; Huang, Y.; Kolokolnikov, T.
2011
Solitary waves on FPU lattices. I: Qualitative properties, renormalization and continuum limit. Zbl 0962.82015
Friesecke, G.; Pego, R. L.
1999
Attractors for non-compact semigroups via energy equations. Zbl 0914.35023
Moise, Ioana; Rosa, Ricardo; Wang, Xiaoming
1998
Gap solitons in periodic discrete nonlinear Schrödinger equations. Zbl 1220.35163
Pankov, A.
2006
Ruelle-Perron-Frobenius spectrum for Anosov maps. Zbl 1021.37015
Blank, Michael; Keller, Gerhard; Liverani, Carlangelo
2002
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
On stationary patterns of a reaction-diffusion model with autocatalysis and saturation law. Zbl 1148.35094
Peng, Rui; Shi, Junping; Wang, Mingxin
2008
Double phase transonic flow problems with variable growth: nonlinear patterns and stationary waves. Zbl 1419.35056
Bahrouni, Anouar; Rădulescu, Vicenţiu D.; Repovš, Dušan D.
2019
Inverse scattering transform for the Degasperis-Procesi equation. Zbl 1211.37081
Constantin, Adrian; Ivanov, Rossen I.; Lenells, Jonatan
2010
Delay-dependent stability of neural networks of neutral type with time delay in the leakage term. Zbl 1196.82102
Li, Xiaodi; Cao, Jinde
2010
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
Ground states and concentration phenomena for the fractional Schrödinger equation. Zbl 1320.35320
Fall, Mouhamed Moustapha; Mahmoudi, Fethi; Valdinoci, Enrico
2015
An extension of integrable peakon equations with cubic nonlinearity. Zbl 1171.37331
Geng, Xianguo; Xue, Bo
2009
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
On the regularity of the primitive equations of the ocean. Zbl 1136.35069
Kukavica, Igor; Ziane, Mohammed
2007
Nonlocal Kirchhoff diffusion problems: local existence and blow-up of solutions. Zbl 1393.35090
Mingqi, Xiang; Rădulescu, Vicenţiu D.; Zhang, Binlin
2018
Synchronization in networks of nonlinear dynamical systems coupled via a directed graph. Zbl 1089.37024
Wu, Chai Wah
2005
Determining nodes, finite differences schemes and inertial manifolds. Zbl 0714.34078
Foias, Ciprian; Titi, Edriss S.
1991
Nonlinear dynamics and statistical physics of DNA. Zbl 1092.82015
Peyrard, Michel
2004
Nonlinear modulation of gravity waves: A region approach. Zbl 0742.76012
Craig, W.; Sulem, C.; Sulem, P. L.
1992
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
Eleven small limit cycles in a cubic vector field. Zbl 0837.34042
Żołądek, Henryk
1995
The accuracy of symplectic integrators. Zbl 0747.58032
McLachlan, Robert I.; Atela, Pau
1992
Excitation thresholds for nonlinear localized modes on lattices. Zbl 0984.35147
Weinstein, M. I.
1999
Yang-Mills fields on quaternionic spaces. Zbl 0681.53037
Mamone Capria, M.; Salamon, S. M.
1988
Large scale front dynamics for turbulent reaction-diffusion equations with separated velocity scales. Zbl 0839.76093
Majda, Andrew J.; Souganidis, Panagiotis E.
1994
An analytical approach to the Schrödinger-Newton equations. Zbl 0942.35077
Tod, Paul; Moroz, Irene M.
1999
The two loop soliton solution of the Vakhnenko equation. Zbl 0914.35115
Vakhnenko, V. O.; Parkes, E. J.
1998
Higher order averaging theory for finding periodic solutions via Brouwer degree. Zbl 1291.34077
Llibre, Jaume; Novaes, Douglas D.; Teixeira, Marco A.
2014
Stability and instability results for standing waves of quasi-linear Schrödinger equations. Zbl 1192.35163
Colin, Mathieu; Jeanjean, Louis; Squassina, Marco
2010
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
Universality in blow-up for nonlinear heat equations. Zbl 0857.35018
Bricmont, J.; Kupiainen, A.
1994
Global solution for a chemotactic-haptotactic model of cancer invasion. Zbl 1160.35431
Tao, Youshan; Wang, Mingjun
2008
Travelling wave solutions for an infection-age structured epidemic model with external supplies. Zbl 1227.92044
Ducrot, Arnaud; Magal, Pierre
2011
Cubic Liénard equations with linear damping. Zbl 0716.58023
Dumortier, Freddy; Rousseau, Christiane
1990
A modified-Leray-$$\alpha$$ subgrid scale model of turbulence. Zbl 1106.35050
Ilyin, Alexei A.; Lunasin, Evelyn M.; Titi, Edriss S.
2006
Monotone wavefronts of the nonlocal Fisher-KPP equation. Zbl 1231.35034
Fang, Jian; Zhao, Xiao-Qiang
2011
Asymptotic stability of solitons of the subcritical gKdV equations revisited. Zbl 1064.35171
Martel, Yvan; Merle, Frank
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.
2004
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
On the 2D Zakharov system with $$L^{2}$$ Schrödinger data. Zbl 1173.35651
Bejenaru, I.; Herr, S.; Holmer, J.; Tataru, D.
2009
A review of linear response theory for general differentiable dynamical systems. Zbl 1158.37305
Ruelle, David
2009
Continuous data assimilation for the three-dimensional Brinkman-Forchheimer-extended Darcy model. Zbl 1339.35246
Markowich, Peter A.; Titi, Edriss S.; Trabelsi, Saber
2016
Inviscid limits for the Navier-Stokes equations with Navier friction boundary conditions. Zbl 1169.35365
Iftimie, Dragoş; Planas, Gabriela
2006
Billiards with polynomial mixing rates. Zbl 1143.37314
Chernov, N.; Zhang, H.-K.
2005
Existence and stability of time-periodic solutions to the Navier-Stokes equations in the whole space. Zbl 0737.35065
Maremonti, Paolo
1991
Linear estimate for the number of zeros of Abelian integrals with cubic Hamiltonians. Zbl 0921.58044
Horozov, Emil; Iliev, Iliya D.
1998
Decomposition of the $$(2+1)$$-dimensional Gardner equation and its quasi-periodic solutions. Zbl 1160.37405
Geng, Xianguo; Cao, Cewen
2001
KAM theory without action-angle variables. Zbl 1067.37081
de la Llave, R.; González, A.; Jorba, À.; Villanueva, J.
2005
Ultra-short pulses in linear and nonlinear media. Zbl 1125.35412
Chung, Y.; Jones, C. K. R. T.; Schäfer, T.; Wayne, C. E.
2005
Algorithms for solving high dimensional PDEs: from nonlinear Monte Carlo to machine learning. Zbl 1490.60202
E, Weinan; Han, Jiequn; Jentzen, Arnulf
2022
Turnpike in Lipschitz-nonlinear optimal control. Zbl 1484.49006
Esteve-Yagüe, Carlos; Geshkovski, Borjan; Pighin, Dario; Zuazua, Enrique
2022
Center manifolds without a phase space for quasilinear problems in elasticity, biology, and hydrodynamics. Zbl 1485.35210
Chen, Robin Ming; Walsh, Samuel; Wheeler, Miles H.
2022
Unstable entropies and dimension theory of partially hyperbolic systems. Zbl 1487.37041
Tian, Xueting; Wu, Weisheng
2022
Global weak solutions to fully cross-diffusive systems with nonlinear diffusion and saturated taxis sensitivity. Zbl 1481.35253
Fuest, Mario
2022
On the stability of solitary wave solutions for a generalized fractional Benjamin-Bona-Mahony equation. Zbl 1482.76055
Oruc, Goksu; Natali, Fábio; Borluk, Handan; Muslu, Gulcin M.
2022
Spectral Moran measures on $$\mathbb{R}^2$$. Zbl 07471639
Yan, Zhi-Hui
2022
Mathematical reformulation of the Kolmogorov-Richardson energy cascade in terms of vortex stretching. Zbl 1482.76057
Yoneda, Tsuyoshi; Goto, Susumu; Tsuruhashi, Tomonori
2022
Inverse variational principles for control systems. Zbl 1485.93248
Wang, Tao; Huang, Yu
2022
Variational existence proof for multiple periodic orbits in the planar circular restricted three-body problem. Zbl 07479719
Kajihara, Yuika; Shibayama, Mitsuru
2022
Hyperbolic approximation of the BBM equation. Zbl 1485.35291
Gavrilyuk, Sergey; Shyue, Keh-Ming
2022
Global hypersurfaces of section in the spatial restricted three-body problem. Zbl 07539293
Moreno, Agustin; van Koert, Otto
2022
Historic wandering domains near cycles. Zbl 07539301
Barrientos, Pablo G.
2022
Global well-posedness for axisymmetric MHD equations with vertical dissipation and vertical magnetic diffusion. Zbl 07515319
Wang, Peng; Guo, Zhengguang
2022
Local well-posedness of the coupled Yang-Mills and Dirac system for low regularity data. Zbl 1477.35196
Pecher, Hartmut
2022
KdV on an incoming tide. Zbl 1479.35737
Laurens, Thierry
2022
Singular solutions of the BBM equation: analytical and numerical study. Zbl 1479.35194
Gavrilyuk, Sergey; Shyue, Keh-Ming
2022
Spectral stability of pattern-forming fronts in the complex Ginzburg-Landau equation with a quenching mechanism. Zbl 1482.35036
Goh, Ryan; de Rijk, Björn
2022
Vectorial variational problems in $$L^\infty$$ constrained by the Navier-Stokes equations. Zbl 1481.35307
Clark, Ed; Katzourakis, Nikos; Muha, Boris
2022
Relay interlayer synchronisation: invariance and stability conditions. Zbl 1491.34068
Rakshit, Sarbendu; Parastesh, Fatemeh; Nag Chowdhury, Sayantan; Jafari, Sajad; Kurths, Jürgen; Ghosh, Dibakar
2022
Radial solutions to a chemotaxis-consumption model involving prescribed signal concentrations on the boundary. Zbl 1481.35023
Lankeit, Johannes; Winkler, Michael
2022
The shock formation and optimal regularities of the resulting shock curves for 1D scalar conservation laws. Zbl 1481.35276
Huicheng, Yin; Lu, Zhu
2022
Weighted $$L^2$$-contractivity of Langevin dynamics with singular potentials. Zbl 1490.35496
Camrud, Evan; Herzog, David P.; Stoltz, Gabriel; Gordina, Maria
2022
Stationary multi-kinks in the discrete sine-Gordon equation. Zbl 1487.37088
Parker, Ross; Kevrekidis, P. G.; Aceves, Alejandro
2022
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
Relaxation oscillations in substrate-depletion oscillators close to the nonsmooth limit. Zbl 1477.34074
Uldall Kristiansen, K.; Szmolyan, P.
2021
Existence and regularity results for terminal value problem for nonlinear fractional wave equations. Zbl 1460.35368
Bao, Ngoc Tran; Caraballo, Tomás; Tuan, Nguyen Huy; Zhou, Yong
2021
Wasserstein stability estimates for covariance-preconditioned Fokker-Planck equations. Zbl 1466.35343
Carrillo, J. A.; Vaes, U.
2021
Influence of a background magnetic field on a 2D magnetohydrodynamic flow. Zbl 1466.35295
Feng, Wen; Hafeez, Farzana; Wu, Jiahong
2021
Periodic travelling waves on damped 2D lattices with oscillating external forces. Zbl 07353384
Zhang, Ling; Guo, Shangjiang
2021
Dynamics of radial solutions for the focusing fourth-order nonlinear Schrödinger equations. Zbl 1472.35352
Dinh, Van Duong
2021
Singularly perturbed boundary-equilibrium bifurcations. Zbl 1480.34056
Jelbart, S.; Kristiansen, K. U.; Wechselberger, M.
2021
Extremes and extremal indices for level set observables on hyperbolic systems. Zbl 1464.37005
Carney, Meagan; Holland, Mark; Nicol, Matthew
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
Wild pseudohyperbolic attractor in a four-dimensional Lorenz system. Zbl 1472.34106
Gonchenko, Sergey; Kazakov, Alexey; Turaev, Dmitry
2021
On a class of non-local phase-field models for tumor growth with possibly singular potentials, chemotaxis, and active transport. Zbl 1468.35217
Scarpa, Luca; Signori, Andrea
2021
Normalized solutions for fractional nonlinear scalar field equations via Lagrangian formulation. Zbl 1472.35351
Cingolani, S.; Gallo, M.; Tanaka, K.
2021
Statistical properties of physical-like measures. Zbl 1464.37033
Gan, Shaobo; Yang, Fan; Yang, Jiagang; Zheng, Rusong
2021
Higher-dimensional Euler fluids and Hasimoto transform: counterexamples and generalizations. Zbl 1459.76032
Khesin, Boris; Yang, Cheng
2021
The local universality of Muttalib-Borodin ensembles when the parameter $$\theta$$ is the reciprocal of an integer. Zbl 1468.30066
Molag, L. D.
2021
A direct approach to nonuniqueness and failure of compactness for the SQG equation. Zbl 1473.35580
Isett, Philip; Ma, Andrew
2021
Global dynamics of a quintic Liénard system with $$\mathbb{Z}_2$$-symmetry. I: Saddle case. Zbl 1478.34033
Chen, Hebai; Tang, Yilei; Xiao, Dongmei
2021
Moments of generalized Cauchy random matrices and continuous-Hahn polynomials. Zbl 1467.60004
Assiotis, Theodoros; Bedert, Benjamin; Gunes, Mustafa Alper; Soor, Arun
2021
Symmetry structure of multi-dimensional time-fractional partial differential equations. Zbl 1468.76049
Zhang, Zhi-Yong; Zheng, Jia
2021
Semi-infinite travelling waves arising in a general reaction-diffusion Stefan model. Zbl 1458.35107
2021
Stability of the multi-solitons of the modified Korteweg-de Vries equation. Zbl 1479.35738
Le Coz, Stefan; Wang, Zhong
2021
Dynamical zeta functions in the nonorientable case. Zbl 1487.37034
Borns-Weil, Yonah; Shen, Shu
2021
Rigorous derivation of the Whitham equations from the water waves equations in the shallow water regime. Zbl 1479.35663
Emerald, Louis
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
The Dirichlet problem for the 1-Laplacian with a general singular term and $$L^1$$-data. Zbl 1465.35230
Latorre, Marta; Oliva, Francescantonio; Petitta, Francesco; Segura de León, Sergio
2021
Solution landscape of a reduced Landau-de Gennes model on a hexagon. Zbl 1466.35296
Han, Yucen; Yin, Jianyuan; Zhang, Pingwen; Majumdar, Apala; Zhang, Lei
2021
A semi-discrete scheme derived from variational principles for global conservative solutions of a Camassa-Holm system. Zbl 1464.35280
Galtung, Sondre Tesdal; Raynaud, Xavier
2021
Location of Siegel capture polynomials in parameter spaces. Zbl 1466.37034
Blokh, Alexander; Chéritat, Arnaud; Oversteegen, Lex; Timorin, Vladlen
2021
On the emerging asymptotic patterns of the Winfree model with frustrations. Zbl 1466.34072
Ha, Seung-Yeal; Kang, Myeongju; Moon, Bora
2021
Asymptotics for the second-largest Lyapunov exponent for some Perron-Frobenius operator cocycles. Zbl 1466.37045
Horan, Joseph
2021
On the structure of Hamiltonian impact systems. Zbl 1470.37082
Pnueli, M.; Rom-Kedar, V.
2021
Existence of strong solutions for a system of interaction between a compressible viscous fluid and a wave equation. Zbl 1464.35188
Maity, Debayan; Roy, Arnab; Takahashi, Takéo
2021
Stability of the planar rarefaction wave to three-dimensional Navier-Stokes-Korteweg equations of compressible fluids. Zbl 1468.35142
Li, Yeping; Luo, Zhen
2021
The classical Kelvin-Voigt problem for incompressible fluids with unknown non-constant density: existence, uniqueness and regularity. Zbl 1468.35125
Antontsev, S. N.; de Oliveira, H. B.; Khompysh, Kh
2021
Linear instability criterion for the Korteweg-de Vries equation on metric star graphs. Zbl 1468.35164
Angulo Pava, Jaime; Cavalcante, Márcio
2021
Tanaka-Ito $$\alpha$$-continued fractions and matching. Zbl 1475.37010
Carminati, Carlo; Langeveld, Niels; Steiner, Wolfgang
2021
Oblique interactions between solitons and mean flows in the Kadomtsev-Petviashvili equation. Zbl 1467.35094
Ryskamp, S.; Hoefer, M. A.; Biondini, G.
2021
The stochastic Cahn-Hilliard equation with degenerate mobility and logarithmic potential. Zbl 1467.35199
Scarpa, Luca
2021
Method of nose stretching in Newton’s problem of minimal resistance. Zbl 1467.49008
Plakhov, Alexander
2021
Computing Garsia entropy for Bernoulli convolutions with algebraic parameters. Zbl 1473.37009
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 1469.35027
Hilder, Bastian
2021
Nonlinear scalar field equation with competing nonlocal terms. Zbl 1471.35142
d&rsquo;Avenia, Pietro; Mederski, Jarosław; Pomponio, Alessio
2021
EDP-convergence for nonlinear fast-slow reaction systems with detailed balance. Zbl 1475.35183
Mielke, Alexander; Peletier, Mark A.; Stephan, Artur
2021
Long time finite dimensionality in charged fluids. Zbl 1476.35189
Abdo, Elie; Ignatova, Mihaela
2021
Almost sure invariance principle for random dynamical systems via Gouëzel’s approach. Zbl 1485.37048
Dragičević, D.; Hafouta, Y.
2021
Weak-strong uniqueness property for models of compressible viscous fluids near vacuum. Zbl 1479.35609
Feireisl, Eduard; Novotný, Antonín
2021
Torus knot choreographies in the $$n$$-body problem. Zbl 1476.70035
Calleja, Renato; García-Azpeitia, Carlos; Lessard, Jean-Philippe; Mireles James, J. D.
2021
Attractive Riesz potentials acting on hard spheres. Zbl 1475.49020
Kubin, A.; Ponsiglione, M.
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 1473.37075
Cheng, Hongyu; de la Llave, Rafael; Wang, Fenfen
2021
Algebraic bounds on the Rayleigh-Bénard attractor. Zbl 1457.35034
Cao, Yu; Jolly, Michael S.; Titi, Edriss S.; Whitehead, Jared P.
2021
The Boussinesq system revisited. Zbl 1460.35295
Molinet, Luc; Talhouk, Raafat; Zaiter, Ibtissam
2021
Braids of the $$N$$-body problem. I: Cabling a body in a central configuration. Zbl 1479.70029
Fontaine, Marine; García-Azpeitia, Carlos
2021
Long-time behavior of partially damped systems modeling degenerate plates with piers. Zbl 1476.35043
Gazzola, Filippo; Soufyane, Abdelaziz
2021
The linear and nonlinear instability of the Akhmediev breather. Zbl 1477.35240
Grinevich, P. G.; Santini, P. M.
2021
Invariant probabilities for discrete time linear dynamics via thermodynamic formalism. Zbl 1484.37044
Lopes, Artur O.; Messaoudi, Ali; Stadlbauer, Manuel; Vargas, Victor
2021
Recursion and Hamiltonian operators for integrable nonabelian difference equations. Zbl 1461.37074
Casati, Matteo; Wang, Jing Ping
2021
A PDE hierarchy for directed polymers in random environments. Zbl 1475.60117
Gu, Yu; Henderson, Christopher
2021
Spectrality of a class of self-affine measures on $$\mathbb{R}^2$$. Zbl 1478.28006
Chen, Ming-Liang; Liu, Jing-Cheng; Wang, Xiang-Yang
2021
Optimisation of the total population size with respect to the initial condition for semilinear parabolic equations: two-scale expansions and symmetrisations. Zbl 1483.35304
Mazari, Idriss; Nadin, Grégoire; Toledo Marrero, Ana Isis
2021
Persistence of periodic and homoclinic orbits, first integrals and commutative vector fields in dynamical systems. Zbl 07411914
Motonaga, Shoya; Yagasaki, Kazuyuki
2021
Superintegrability of Calogero-Moser systems associated with the cyclic quiver. Zbl 1479.70044
Fairon, Maxime; Görbe, Tamás
2021
A weighted eigenvalue problem of the biased infinity Laplacian. Zbl 1459.35299
Liu, Fang; Yang, Xiao-Ping
2021
New examples of stably ergodic diffeomorphisms in dimension 3. Zbl 1472.37021
Núñez, Gabriel; Obata, Davi; Rodriguez Hertz, Jana
2021
Sets of Dirichlet non-improvable numbers with certain order in the theory of continued fractions. Zbl 1473.11153
Feng, Jing; Xu, Jian
2021
Invariance of entropy for maps isotopic to Anosov. Zbl 1472.37035
Carrasco, Pablo D.; Lizana, Cristina; Pujals, Enrique; Vásquez, Carlos H.
2021
Singular diffusion with Neumann boundary conditions. Zbl 1459.35230
Coclite, Giuseppe Maria; Holden, Helge; Risebro, Nils Henrik
2021
Annihilation of slowly-decaying terms of Navier-Stokes flows by external forcing. Zbl 1462.35238
Brandolese, Lorenzo; Okabe, Takahiro
2021
Fractal squares with finitely many connected components. Zbl 1466.28013
Xiao, Jian-Ci
2021
Dynamics of the Schrödinger-Langevin equation. Zbl 1464.35313
Chauleur, Quentin
2021
Global weak solutions to a Navier-Stokes-Cahn-Hilliard system with chemotaxis and singular potential. Zbl 1464.35058
He, Jingning
2021
On the fast rotation asymptotics of a non-homogeneous incompressible MHD system. Zbl 1464.35215
Cobb, Dimitri; Fanelli, Francesco
2021
Some properties of circle maps with zero topological entropy. Zbl 1469.37032
Yang, Yini
2021
The multiplicative constant for the Meijer-$$G$$ kernel determinant. Zbl 1470.60130
Charlier, Christophe; Lenells, Jonatan; Mauersberger, Julian
2021
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### Cited by 23,881 Authors

 204 Llibre, Jaume 90 Guo, Boling 90 Titi, Edriss Saleh 76 Li, Wan-Tong 73 Ha, Seung-Yeal 73 Mu, Chunlai 70 Winkler, Michael 69 Algaba, Antonio 67 Wei, Juncheng 66 de la Llave, Rafael 66 Kevrekidis, Panayotis G. 65 Cao, Jinde 65 Geng, Xianguo 65 Pelinovsky, Dmitry Efimovich 65 Wu, Jiahong 63 Han, Maoan 63 Valls Anglés, Cláudia 56 Giné, Jaume 56 Temam, Roger Meyer 54 Carrillo de la Plata, José Antonio 54 Rădulescu, Vicenţiu D. 52 Melbourne, Ian 51 Ashwin, Peter 51 Majda, Andrew J. 48 Duan, Jinqiao 48 Knobloch, Edgar 48 Zhang, Binlin 47 Kukavica, Igor 47 Wang, Bixiang 46 Tang, Xianhua 42 García, Cristóbal 42 Varandas, Paulo 41 Tachim Medjo, Theodore 40 Chen, Guanrong 40 Jüngel, Ansgar 40 Kevrekidis, Ioannis George 40 MacKay, Robert Sinclair 40 Shi, Junping 40 Xu, Junxiang 40 Yu, Pei 39 Guo, Shangjiang 39 Lopes, Artur Oscar 39 Schneider, Guido 39 Stewart, Ian Nicholas 39 Urbański, Mariusz 38 Constantin, Peter 38 Gardini, Laura 38 Kühn, Christian 37 Gasull, Armengol 37 He, Jingsong 37 Krauskopf, Bernd 37 Tao, Youshan 37 Vaienti, Sandro 37 Wei, Junjie 37 Zaag, Hatem 36 Fan, Engui 36 Perthame, Benoît 36 Robinson, James Cooper 36 Turaev, Dmitry V. 36 Wu, Xinxing 36 Xiang, Mingqi 36 Zelik, Sergey V. 35 Feireisl, Eduard 35 Gao, Hongjun 35 Mielke, Alexander 35 Ruan, Shigui 35 Zhang, Zujin 34 Cordoba, Diego 34 Froyland, Gary 34 Langa, Jose’ Antonio 34 Wiggins, Stephen 34 Zheng, Pan 33 Chae, Dongho 33 Li, Fucai 33 Oprocha, Piotr 33 Saut, Jean-Claude 33 Shen, Wenxian 33 Zhao, Caidi 32 Fan, Jishan 32 Feng, Zhaosheng 32 Gala, Sadek 32 Lin, Zhigui 32 Meiss, James D. 32 Wang, Zhi Cheng 32 Xi, Lifeng 32 Zhang, Xiang 31 Ambrosio, Vincenzo 31 Borisov, Alekseĭ Vladimirovich 31 Choi, Young-Pil 31 Galatolo, Stefano 31 Vicol, Vlad C. 30 Liu, Zhengrong 30 Ma, Wen-Xiu 30 Osinga, Hinke Maria 30 Ward, Michael J. 30 Wu, Shiliang 30 Ye, Xiangdong 30 Zhao, Yulin 30 Zheng, Jiashan 29 Broer, Henk W. ...and 23,781 more Authors
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### Cited in 868 Journals

 1,462 Journal of Differential Equations 1,155 Physica D 1,051 Journal of Mathematical Analysis and Applications 718 Journal of Mathematical Physics 696 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 663 Chaos 657 Communications in Mathematical Physics 590 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 581 Discrete and Continuous Dynamical Systems 579 Nonlinearity 435 Ergodic Theory and Dynamical Systems 433 Journal of Statistical Physics 433 Nonlinear Analysis. Real World Applications 402 Chaos, Solitons and Fractals 380 Archive for Rational Mechanics and Analysis 368 Journal of Nonlinear Science 368 Discrete and Continuous Dynamical Systems. Series B 323 ZAMP. Zeitschrift für angewandte Mathematik und Physik 322 Communications in Nonlinear Science and Numerical Simulation 321 Journal of Dynamics and Differential Equations 319 Applied Mathematics and Computation 318 SIAM Journal on Mathematical Analysis 283 Journal of Fluid Mechanics 265 Transactions of the American Mathematical Society 260 Applied Mathematics Letters 257 Proceedings of the American Mathematical Society 254 Nonlinear Dynamics 246 Journal of Computational Physics 235 Advances in Mathematics 230 SIAM Journal on Applied Dynamical Systems 219 Dynamical Systems 218 Communications on Pure and Applied Analysis 214 Calculus of Variations and Partial Differential Equations 212 Applicable Analysis 196 Regular and Chaotic Dynamics 183 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 178 Computers & Mathematics with Applications 168 Journal of Functional Analysis 165 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 164 Journal of Mathematical Fluid Mechanics 155 Qualitative Theory of Dynamical Systems 147 Abstract and Applied Analysis 144 Advances in Difference Equations 139 Journal of Computational and Applied Mathematics 138 Journal of Mathematical Biology 138 Acta Applicandae Mathematicae 138 Communications in Partial Differential Equations 137 Mathematical Methods in the Applied Sciences 129 Discrete and Continuous Dynamical Systems. Series S 125 Journal of Geometry and Physics 124 Physics of Fluids 123 Boundary Value Problems 119 Acta Mathematica Sinica. English Series 119 Science China. Mathematics 118 Journal de Mathématiques Pures et Appliquées. Neuvième Série 116 Journal of Difference Equations and Applications 113 Journal of Nonlinear Mathematical Physics 111 Celestial Mechanics and Dynamical Astronomy 105 Journal of Evolution Equations 101 Theoretical and Mathematical Physics 101 Comptes Rendus. Mathématique. Académie des Sciences, Paris 100 Stochastics and Dynamics 98 NoDEA. Nonlinear Differential Equations and Applications 96 Annales Henri Poincaré 92 Physics Letters. A 89 Israel Journal of Mathematics 88 Studies in Applied Mathematics 84 SIAM Journal on Applied Mathematics 81 Inventiones Mathematicae 81 Monatshefte für Mathematik 79 Topology and its Applications 74 Mathematische Zeitschrift 73 Chinese Annals of Mathematics. Series B 73 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 72 Journal of Scientific Computing 72 Communications in Contemporary Mathematics 70 Mathematics and Computers in Simulation 69 Applied Mathematics and Optimization 69 Journal of Dynamical and Control Systems 69 Journal of High Energy Physics 69 Journal of Theoretical Biology 67 Bulletin of Mathematical Biology 67 Advances in Nonlinear Analysis 65 Acta Mathematica Scientia. Series B. (English Edition) 65 Complex Variables and Elliptic Equations 64 Physica A 63 Letters in Mathematical Physics 63 Mathematische Annalen 62 Annales de l’Institut Fourier 62 Applied Numerical Mathematics 62 Fractals 62 Bulletin des Sciences Mathématiques 61 Communications on Pure and Applied Mathematics 61 Numerische Mathematik 61 Journal of Physics A: Mathematical and Theoretical 61 Kinetic and Related Models 60 Annali di Matematica Pura ed Applicata. Serie Quarta 60 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 60 Stochastic Processes and their Applications 59 Computer Methods in Applied Mechanics and Engineering ...and 768 more Journals
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### Cited in 63 Fields

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