Nonlinearity

Article	Citations
Instability of closed orbits obtained by minimization*	66
Stationary coalescing walks on the lattice II: entropy	37
On the Lyapunov instability in Newtonian dynamics	29
Resonance, symmetry, and bifurcation of periodic orbits in perturbed Rayleigh–Bénard convection	29
On uniqueness properties of solutions of the generalized fourth-order Schrödinger equations	28
Monotonicity of entropy for real quadratic rational maps	27
Quasi-graphs, zero entropy and measures with discrete spectrum	26
Modeling the interplay of oscillatory synchronization and aggregation via cell–cell adhesion	26
Absence of absolutely continuous diffraction spectrum for certain S-adic tilings	25
Heat-content and diffusive leakage from material sets in the low-diffusivity limit *	25
Quenching for axisymmetric hypersurfaces under forced mean curvature flows	21
Transition phenomena for the attractor of an iterated function system*	21
Vector-valued Ruelle operator for weakly contractive IFS and Dini matrix potentials	21
The structure of the toric locus of a reaction network	20
Multi-order asymptotic expansion of blow-up solutions for autonomous ODEs: II. Dynamical correspondence	19
The measure transfer for subshifts induced by a morphism of free monoids	18
Extending discrete geometric singular perturbation theory to non-hyperbolic points	18
Stratonovich–Khasminskii averaging principle for multiscale random Korteweg–de Vries-Burgers equation	17
On ergodic optimisation for unimodal maps	16
On multifractal analysis and large deviations of singular hyperbolic attractors	16
Convergence of stochastic 2D inviscid Boussinesq equations with transport noise to a deterministic viscous system	16
Linear response due to singularities	16
Anderson localization for the unitary almost Mathieu operator	16
Liquid crystal elastomers wrinkling	15
Hardy inequalities for magnetic p-Laplacians	15

Maxwell–Bloch equations without spectral broadening: the long-time asymptotics of an input pulse in a long two-level laser amplifier	15
Approximate localised dihedral patterns near a turing instability	14
Algebraic identifiability of partial differential equation models	14
Unbounded solutions for the Muskat problem	14
Global dynamics of a reaction-diffusion brucellosis model with spatiotemporal heterogeneity and nonlocal delay	14
Integrable hierarchies, Frölicher–Nijenhuis bicomplexes and Lauricella bi-flat F-manifolds	14
Global dynamics in a Keller–Segel system with rotation and indirect signal production	14
Weighted L 2-contractivity of Langevin dynamics with singular potentials	13
Variational methods for breather solutions of nonlinear wave equations	13
Topological bifurcation structure of one-parameter families of C 1 unimodal maps	13
On universality for the kinetic wave equation	13
Equilibrium states for maps isotopic to Anosov	13
On mix-norms and the rate of decay of correlations	12
Simple two-layer dispersive models in the Hamiltonian reduction formalism	12
A note on cascade flux laws for the stochastically-driven nonlinear Schrödinger equation	12
Exponential moments for disk counting statistics of random normal matrices in the critical regime	12
Equilibrium states for hyperbolic potentials via inducing schemes *	12
A new convex integration approach for the compressible Euler equations and failure of the local maximal dissipation criterion	12
Maximisers for Strichartz inequalities on the torus	12
Quenched Poisson processes for random subshifts of finite type	12
Nonlinear stability of the two-jet Kolmogorov type flow on the unit sphere under a perturbation with nondissipative part	11
Prevention of infinite-time blowup by slightly super-linear degradation in a Keller–Segel system with density-suppressed motility	11
On the characterisation of fragmented Bose–Einstein condensation and its emergent effective evolution	11
Logarithmic Schrödinger equation with quadratic potential*	11
Intersections of middle-α Cantor sets with a fixed translation	11
Weak–strong uniqueness property for models of compressible viscous fluids near vacuum*	11
Superintegrability of Calogero–Moser systems associated with the cyclic quiver	11
The strong vanishing viscosity limit with Dirichlet boundary conditions	10
Small-data global existence of solutions for the Pitaevskii model of superfluidity	10
The linear and nonlinear instability of the Akhmediev breather	10
Classical n-body scattering with long-range potentials	10
Ahead of the Fisher–KPP front	10
Local equilibrium of particle density in planar Lorentz processes	10
Global well-posedness of 3D inhomogeneous Navier–Stokes system with small unidirectional derivative	10
Mean dimension of Bernstein spaces and universal real flows	10
Reaction–diffusion model for a population structured in phenotype and space: I. Criterion for persistence	10
Ground states for fractional linear coupled systems via profile decomposition *	10
Uniform regularity and zero capillarity-viscosity limit for an inhomogeneous incompressible fluid model of Korteweg type in half-space	10
Singular Euler–Maclaurin expansion on multidimensional lattices	10
The Bernoulli property for counter-twisting linked twist maps	10
Mathematical reformulation of the Kolmogorov–Richardson energy cascade in terms of vortex stretching	10
Global existence of weak solutions and weak–strong uniqueness for nonisothermal Maxwell–Stefan systems *	10
Existence of solutions for the surface electromigration equation	10
Continua and persistence of periodic orbits in ensembles of oscillators	9
Applications of Nijenhuis geometry II: maximal pencils of multi-Hamiltonian structures of hydrodynamic type	9
Flexibility and rigidity of free boundary MHD equilibria	9
L q -spectra of graph-directed planar non-conformal measures	9
Spectral asymptotics of Laplacians associated with a class of higher-dimensional graph-directed self-similar measures *	9
Corrigendum: Local well-posedness of the coupled Yang–Mills and Dirac system for low regularity data (2022 Nonlinearity 35 1)	9
Historic wandering domains near cycles	9

Global solutions to the tangential Peskin problem in 2-D	9
Scaled pressure of continuous flows*	9
Derivation of ensemble Kalman–Bucy filters with unbounded nonlinear coefficients	9
Characteristic approach to the soliton resolution	9
Density of periodic measures and large deviation principle for generalised mod one transformations	9
Gromov–Hausdorff variational principles and measure stability *	9
On real and pseudo-real rational maps *	8
Energy estimates and convergence of weak solutions of the porous medium equation	8
Dulac maps of real saddle-nodes	8
Normalized solutions to p-Laplacian equations with combined nonlinearities*	8
Explicit examples of resonances for Anosov maps of the torus	8
The plasma-charge model in a convex domain	8
New Liouville type theorems for the stationary Navier–Stokes, MHD, and Hall–MHD equations	8
Travelling modulating pulse solutions with small tails for a nonlinear wave equation in periodic media	8
Singularly perturbed boundary-equilibrium bifurcations	8
Bistable boundary conditions implying codimension 2 bifurcations	8
A multiple time renewal equation for neural assemblies with elapsed time model	8
Failure of scattering for the NLSE with a point interaction in dimension two and three	8
On zeros and spectral property of self-affine measures	8
Equilibrium measures on Julia sets of random quadratic polynomials	8
Invariant measures for stochastic conservation laws on the line	7
Internal-wave billiards in trapezoids and similar tables	7
Convex computation of maximal Lyapunov exponents	7
Long time existence of the non-isentropic slightly compressible Navier-Stokes equations with boundary conditions	7
A regularized shallow-water waves system with slip-wall boundary conditions in a basin: theory and numerical analysis	7
On time-periodic solutions to an interaction problem between compressible viscous fluids and viscoelastic beams	7
Equivalence of rigid motions and relative equilibria in the N-body problem on the two-sphere	7
Klein–Gordon equation with mean field interaction. Orbital and asymptotic stability of solitary waves *	7
Gelfand–Dickey hierarchy, generalized BGW tau-function, and W-constraints	7
Continuity of sub-additive topological pressure with matrix cocycles *	7
Time-dependent billiards, variational method, and invariant tori	7
Global dynamics of an SIS epidemic model with cross-diffusion: applications to quarantine measures	7
Assouad type dimensions of infinitely generated self-conformal sets	7
Critical transitions for scalar nonautonomous systems with concave nonlinearities: some rigorous estimates	7
Shape dynamics of N point vortices on the sphere	7
Traveling wave solutions of a class of multi-species non-cooperative reaction–diffusion systems *	7
Center manifolds without a phase space for quasilinear problems in elasticity, biology, and hydrodynamics	7
Reducible Abelian varieties and Lax matrices for Euler’s problem of two fixed centres	7
Metrical properties of the large products of partial quotients in continued fractions	7
Global well-posedness for the cubic fractional NLS on the unit disk	7
Higher-order superintegrable momentum-dependent Hamiltonians on curved spaces from the classical Zernike system	7
Uniqueness of Denjoy minimal sets for twist maps with zero entropy *	7
Depinning transition of travelling waves for particle chains	7
Upper and lower bounds for the speed of fronts of the reaction diffusion equation with Stefan boundary conditions	6
Estimating the most probable transition time for stochastic dynamical systems	6
The inverse scattering transform for weak Wigner–von Neumann type potentials *	6
On the structure of periodic eigenvalues of the vectorial p-Laplacian	6
Spectral instability of small-amplitude periodic waves of the electronic Euler–Poisson system	6
Regularity and upper semicontinuity of pullback attractors for non-autonomous Rao–Nakra beam	6
The uniqueness and monotonicity of incompressible jet with two fluids*	6
Computational symplectic topology and symmetric orbits in the restricted three-body problem	6
The incompressible Navier–Stokes limit from the discrete-velocity BGK Boltzmann equation	6
Sharp bounds on enstrophy growth for viscous scalar conservation laws	6
Global dynamics of a nonlocal non-uniformly parabolic equation arising from the curvature flow*	6
Asymptotic estimates for an integral equation in theory of phase transition	6
Scattering of solutions with group invariance for the fourth-order nonlinear Schrödinger equation	6
A local pointwise inequality for a biharmonic equation with negative exponents	6
Infinitely many new solutions for singularly perturbed Schrödinger equations	6
The hyperbolic umbilic singularity in fast-slow systems	6
Multi-valued perturbations on stochastic evolution equations driven by fractional Brownian motions	6
Nonlinear parabolic stochastic evolution equations in critical spaces Part I. Stochastic maximal regularity and local existence*	6
Full asymptotic expansion of monodromy data for the first Painlevé transcendent: applications to connection problems	6
Equivariant bifurcation, quadratic equivariants, and symmetry breaking for the standard representation of S k	6
Integrable magnetic geodesic flows on 2-surfaces *	6
Lax matrices for lattice equations which satisfy consistency-around-a-face-centered-cube	6
Relative equilibria of mechanical systems with rotational symmetry	6
Superballistic and superdiffusive scaling limits of stochastic harmonic chains with long-range interactions	6
Solutions to a nonlinear Dirac–Maxwell system: from periodic waves to soliton-like waves	6
Instability in large bounded domains—branched versus unbranched resonances	6
Dihedral rings of patterns emerging from a Turing bifurcation	6
Computability of topological pressure on compact shift spaces beyond finite type*	6
Infinitely many localized semiclassical states for critical nonlinear Dirac equations	6
Linear and fractional response for nonlinear dissipative SPDEs	6
Singular solutions for the conformal Dirac–Einstein problem on the sphere	5
Segregated solutions for a nonlinear Schrödinger system involving mass supercritical exponents	5
Liouville type results for the fractional truncated Laplacians in a half-space	5
Elementary fractal geometry. 5. Weak separation is strong separation	5
Asymptotic behavior of a semilinear non-autonomous wave equation with distributed delay and analytic nonlinearity	5
Pushed and pulled fronts in a logistic Keller–Segel model with chemorepulsion*	5
Dispersive hydrodynamics in non-Hermitian nonlinear Schrödinger equation with complex external potential	5

Asymptotics of the Hausdorff dimensions of the Julia sets of McMullen maps with error bounds*	5
Remarks on sparseness and regularity of Navier–Stokes solutions	5
Exactly self-similar blow-up of the generalized De Gregorio equation	5
Global existence and decay estimates of solutions to the MHD–Boussinesq system with stratification effects*	5
Existence of bounded solutions for a non-periodic sublinear equation with an obstacle*	5
Stability and optimal decay for a system of 3D anisotropic Boussinesq equations	5
Derivation of the fractional porous medium equation from a microscopic dynamics	5
On a variant of Hilbert’s 16th problem	5
Locating Ruelle–Pollicott resonances*	5
Zero surface tension limit of the free-boundary problem in incompressible magnetohydrodynamics*	5
Nonlinear steepest descent on a torus: a case study of the Landau–Lifshitz equation	5
Matrix-valued θ-deformed bi-orthogonal polynomials, non-commutative Toda theory and Bäcklund transformation	5
Spectrality of a class of infinite convolutions on R *	5
Normalized multibump solutions to nonlinear Schrödinger equations with steep potential well	5
Bi-Hamiltonian structure of Sutherland models coupled to two u(n)* -valued spins from Poisson reduction	5
Homogenization for sub-riemannian Lagrangians	5
Method of nose stretching in Newton’s problem of minimal resistance	5
Elementary catastrophes underlying bifurcations of vector fields and PDEs	5
On global dynamics of type-K competitive Kolmogorov differential systems	5
Global well-posedness for 2D fractional inhomogeneous Navier–Stokes equations with rough density	5
Soliton solutions of the nonlinear Schrödinger equation with defect conditions	5
Bounds on buoyancy driven flows with Navier-slip conditions on rough boundaries	5
Stability threshold of Couette flow for 2D MHD equations in the Sobolev space	5
On the Cauchy problem for the Hartree approximation in quantum dynamics	5
Almost sure scattering at mass regularity for radial Schrödinger equations	5
The twisted baker map	5
Algorithms for solving high dimensional PDEs: from nonlinear Monte Carlo to machine learning	5
Asymptotic limits for strain-gradient viscoelasticity with nonconvex energy	5
Existence and stability for the travelling waves of the Benjamin equation	5
Generalized Hardy operators	5
Chaotic dynamics in refraction galactic billiards	5
Analytic smoothing estimates for the Korteweg–de Vries equation with steplike data	5
Critical intermittency in rational maps	5
Integrable differential systems for deformed Laguerre–Hahn orthogonal polynomials	5
Multiplicative Diophantine approximation with restricted denominators	5
Invariant measures of fractional stochastic delay reaction–diffusion equations on unbounded domains	5
Well-posedness and dynamics of solutions to the generalized KdV with low power nonlinearity	5
Integrable semi-discretisation of the Drinfel’d–Sokolov hierarchies	5
Analytic weak-stable manifolds in unfoldings of saddle-nodes*	5
Asymptotic behaviour of global vortex rings	5
Global existence and asymptotics for the modified two-dimensional Schrödinger equation in the critical regime	4
Classification of solutions of the 2D steady Navier-Stokes equations with separated variables in cone-like domains	4
Orbital and parametric normal forms for families of Hopf-zero singularity	4
Boundary effects on the emergence of quasi-periodic solutions for Euler equations	4
Periodic solutions of the non-chiral intermediate Heisenberg ferromagnet equation described by elliptic spin Calogero-Moser dynamics	4
Structural stability of subsonic steady states to the hydrodynamic model for semiconductors with sonic boundary	4
Two-dimensional reductions of the Whitham modulation system for the Kadomtsev–Petviashvili equation	4
Spectral stability of pattern-forming fronts in the complex Ginzburg–Landau equation with a quenching mechanism	4
Miura-reciprocal transformations and localizable Poisson pencils	4
Multifractal analysis in non-uniformly hyperbolic interval maps	4
Normalized solutions for the Kirchhoff equation on noncompact metric graphs *	4
Soft congestion approximation to the one-dimensional constrained Euler equations	4
Global well-posedness of 2D Euler-α equation in exterior domain	4
Multi-winged Lorenz attractors due to bifurcations of a periodic orbit with multipliers	4
Global unique solvability of inhomogeneous incompressible Navier–Stokes equations with nonnegative density	4
Near-resonance approximation of rotating Navier–Stokes equations	4
Chiral limit of twisted trilayer graphene	4
On formal series solutions to 4th-order quadratic homogeneous differential equations and their convergence	4
Effects of impulsive harvesting and an evolving domain in a diffusive logistic model*	4
Microscopic patterns in the 2D phase-field-crystal model	4
Almost global existence for some Hamiltonian PDEs on manifolds with globally integrable geodesic flow	4
Non-homogeneous initial boundary value problems and small data scattering of the Hirota equations posed on the half line	4
On the elliptic sinh–Gordon equation with integrable boundary conditions *	4
On a probabilistic model for martensitic avalanches incorporating mechanical compatibility	4
Complex oscillatory motion of multiple spikes in a three-component Schnakenberg system	4
Corrigendum: A semi-periodic initial-value problem for the Kadomtsev–Petviashvili II equation (2023 Nonlinearity 36 5422)	4
Spatiotemporal stability of periodic travelling waves in a heteroclinic-cycle model	4
On the Schrödinger map for regular helical polygons in the hyperbolic space	4
On the effect of forcing on fold bifurcations and early-warning signals in population dynamics	4
New Hausdorff-type dimensions and optimal bounds for bilipschitz invariant dimensions*	4
Weighted twisted inhomogeneous diophantine approximation	4
Trace formulas revisited and a new representation of KdV solutions with short-range initial data	4
Radial solutions to a chemotaxis-consumption model involving prescribed signal concentrations on the boundary	4
Local-in-time existence of a free-surface 3D Euler flow with H 2+δ initial vorticity in a neighborhood of the free boundary	4
On the vorticity direction and the regularity of 3D Navier–Stokes equations	4
Numerical study on how advection delays and removes singularity formation in the Navier–Stokes equations	4
Wm-algebras and fractional powers of difference operators	4
Conditional variational principles of conditional entropies for amenable group actions *	4
Critical curve for a two-species chemotaxis model with two chemicals in R2 *	4
Singular limit of a chemotaxis model with indirect signal production and phenotype switching	4
Genuine nonlinearity and its connection to the modified Korteweg–de Vries equation in phase dynamics	4
Algebraic entropy for hex systems	4
Genericity of historic behavior for maps and flows	4
Poisson problems involving fractional Hardy operators and measures	4
Internal ring waves in a three-layer fluid on a current with a constant vertical shear	3
Periodic orbits in the Ott–Antonsen manifold	3
Estimating rate-induced tipping via asymptotic series and a Melnikov-like method*	3
Nonlinear Rayleigh–Taylor instability of inhomogeneous incompressible geophysical fluids with partial dissipation	3
On spectral structure and spectral eigenvalue problems for a class of self similar spectral measure with product form	3
Quasi-periodic waves to the defocusing nonlinear Schrödinger equation	3
Geodesic flows of compact higher genus surfaces without conjugate points have expansive factors	3
High pointwise emergence and Katok’s conjecture for symbolic systems with non-uniform structure	3
Optimal enhanced dissipation for contact Anosov flows	3
Consistent spectral approximation of Koopman operators using resolvent compactification	3
Hölder regularity for collapses of point-vortices	3