Nonlinearity

Article	Citations
Instability of closed orbits obtained by minimization*	73
Resonance, symmetry, and bifurcation of periodic orbits in perturbed Rayleigh–Bénard convection	39
Quasi-graphs, zero entropy and measures with discrete spectrum	34
Vector-valued Ruelle operator for weakly contractive IFS and Dini matrix potentials	30
Heat-content and diffusive leakage from material sets in the low-diffusivity limit *	30
Quenching for axisymmetric hypersurfaces under forced mean curvature flows	30
Absence of absolutely continuous diffraction spectrum for certain S-adic tilings	30
The structure of the toric locus of a reaction network	28
The measure transfer for subshifts induced by a morphism of free monoids	22
Multi-order asymptotic expansion of blow-up solutions for autonomous ODEs: II. Dynamical correspondence	22
Stationary coalescing walks on the lattice II: entropy	21
Stratonovich–Khasminskii averaging principle for multiscale random Korteweg–de Vries-Burgers equation	18
On multifractal analysis and large deviations of singular hyperbolic attractors	17
On ergodic optimisation for unimodal maps	17
Transition phenomena for the attractor of an iterated function system*	17
Anderson localization for the unitary almost Mathieu operator	17
Algebraic identifiability of partial differential equation models	16
Extending discrete geometric singular perturbation theory to non-hyperbolic points	16
Maxwell–Bloch equations without spectral broadening: the long-time asymptotics of an input pulse in a long two-level laser amplifier	16
Modeling the interplay of oscillatory synchronization and aggregation via cell–cell adhesion	15
Global dynamics of a reaction-diffusion brucellosis model with spatiotemporal heterogeneity and nonlocal delay	15
Linear response due to singularities	15
Convergence of stochastic 2D inviscid Boussinesq equations with transport noise to a deterministic viscous system	14
Integrable hierarchies, Frölicher–Nijenhuis bicomplexes and Lauricella bi-flat F-manifolds	14
On uniqueness properties of solutions of the generalized fourth-order Schrödinger equations	14

Approximate localised dihedral patterns near a turing instability	14
Hardy inequalities for magnetic p-Laplacians	14
Unbounded solutions for the Muskat problem	13
On universality for the kinetic wave equation	13
Equilibrium states for hyperbolic potentials via inducing schemes *	13
A new convex integration approach for the compressible Euler equations and failure of the local maximal dissipation criterion	13
Global dynamics in a Keller–Segel system with rotation and indirect signal production	13
Topological bifurcation structure of one-parameter families of C 1 unimodal maps	13
Superintegrability of Calogero–Moser systems associated with the cyclic quiver	12
Simple two-layer dispersive models in the Hamiltonian reduction formalism	12
Prevention of infinite-time blowup by slightly super-linear degradation in a Keller–Segel system with density-suppressed motility	12
On the characterisation of fragmented Bose–Einstein condensation and its emergent effective evolution	12
Maximisers for Strichartz inequalities on the torus	12
Intersections of middle-α Cantor sets with a fixed translation	12
Quenched Poisson processes for random subshifts of finite type	12
Exponential moments for disk counting statistics of random normal matrices in the critical regime	12
Global existence of weak solutions and weak–strong uniqueness for nonisothermal Maxwell–Stefan systems *	11
Ahead of the Fisher–KPP front	11
Weighted L 2-contractivity of Langevin dynamics with singular potentials	11
Nonlinear stability of the two-jet Kolmogorov type flow on the unit sphere under a perturbation with nondissipative part	11
Reaction–diffusion model for a population structured in phenotype and space: I. Criterion for persistence	11
Classical n-body scattering with long-range potentials	11
Logarithmic Schrödinger equation with quadratic potential*	11
A note on cascade flux laws for the stochastically-driven nonlinear Schrödinger equation	10
The strong vanishing viscosity limit with Dirichlet boundary conditions	10
Small-data global existence of solutions for the Pitaevskii model of superfluidity	10
Uniform regularity and zero capillarity-viscosity limit for an inhomogeneous incompressible fluid model of Korteweg type in half-space	10
The linear and nonlinear instability of the Akhmediev breather	10
Corrigendum: Local well-posedness of the coupled Yang–Mills and Dirac system for low regularity data (2022 Nonlinearity 35 1)	10
Singularly perturbed boundary-equilibrium bifurcations	10
The Bernoulli property for counter-twisting linked twist maps	10
Mean dimension of Bernstein spaces and universal real flows	10
Gromov–Hausdorff variational principles and measure stability *	9
Density of periodic measures and large deviation principle for generalised mod one transformations	9
On zeros and spectral property of self-affine measures	9
Dulac maps of real saddle-nodes	9
Derivation of ensemble Kalman–Bucy filters with unbounded nonlinear coefficients	9
Mathematical reformulation of the Kolmogorov–Richardson energy cascade in terms of vortex stretching	9
New Liouville type theorems for the stationary Navier–Stokes, MHD, and Hall–MHD equations	9
L q -spectra of graph-directed planar non-conformal measures	9
Characteristic approach to the soliton resolution	9
Historic wandering domains near cycles	9
Flexibility and rigidity of free boundary MHD equilibria	9
Continua and persistence of periodic orbits in ensembles of oscillators	9
Global solutions to the tangential Peskin problem in 2-D	9
Equilibrium measures on Julia sets of random quadratic polynomials	9
Scaled pressure of continuous flows*	9
Travelling modulating pulse solutions with small tails for a nonlinear wave equation in periodic media	9
Bistable boundary conditions implying codimension 2 bifurcations	9
Explicit examples of resonances for Anosov maps of the torus	8

Normalized solutions to p-Laplacian equations with combined nonlinearities*	8
Sobolev stability for the 2D MHD equations in the non-resistive limit	8
Assouad type dimensions of infinitely generated self-conformal sets	8
Global dynamics of an SIS epidemic model with cross-diffusion: applications to quarantine measures	8
Global well-posedness of 3D inhomogeneous Navier–Stokes system with small unidirectional derivative	8
A multiple time renewal equation for neural assemblies with elapsed time model	8
On time-periodic solutions to an interaction problem between compressible viscous fluids and viscoelastic beams	8
A regularized shallow-water waves system with slip-wall boundary conditions in a basin: theory and numerical analysis	8
Equivalence of rigid motions and relative equilibria in the N-body problem on the two-sphere	8
Singular Euler–Maclaurin expansion on multidimensional lattices	8
Klein–Gordon equation with mean field interaction. Orbital and asymptotic stability of solitary waves *	8
Energy estimates and convergence of weak solutions of the porous medium equation	8
Higher-order superintegrable momentum-dependent Hamiltonians on curved spaces from the classical Zernike system	8
Improving the Adam optimizer using time delays	8
Shape dynamics of N point vortices on the sphere	8
Time-dependent billiards, variational method, and invariant tori	7
Global dynamics of a nonlocal non-uniformly parabolic equation arising from the curvature flow*	7
Lax matrices for lattice equations which satisfy consistency-around-a-face-centered-cube	7
Center manifolds without a phase space for quasilinear problems in elasticity, biology, and hydrodynamics	7
Depinning transition of travelling waves for particle chains	7
The plasma-charge model in a convex domain	7
Critical transitions for scalar nonautonomous systems with concave nonlinearities: some rigorous estimates	7
Regularity of the stationary density for systems with fast random switching	7
Equivariant bifurcation, quadratic equivariants, and symmetry breaking for the standard representation of S k	7
Gelfand–Dickey hierarchy, generalized BGW tau-function, and W-constraints	7
Convex computation of maximal Lyapunov exponents	7
Invariant measures for stochastic conservation laws on the line	7
Traveling wave solutions of a class of multi-species non-cooperative reaction–diffusion systems *	7
Uniqueness of Denjoy minimal sets for twist maps with zero entropy *	7
Continuity of sub-additive topological pressure with matrix cocycles *	7
Upper and lower bounds for the speed of fronts of the reaction diffusion equation with Stefan boundary conditions	7
Reducible Abelian varieties and Lax matrices for Euler’s problem of two fixed centres	7
Global well-posedness for the cubic fractional NLS on the unit disk	7
On the stability of the Hardy–Sobolev inequality involving p-Laplace	7
Failure of scattering for the NLSE with a point interaction in dimension two and three	7
Nonlinear parabolic stochastic evolution equations in critical spaces Part I. Stochastic maximal regularity and local existence*	6
Long time existence of the non-isentropic slightly compressible Navier-Stokes equations with boundary conditions	6
Sharp bounds on enstrophy growth for viscous scalar conservation laws	6
Infinitely many new solutions for singularly perturbed Schrödinger equations	6
Singular solutions for the conformal Dirac–Einstein problem on the sphere	6
Derivation of the fractional porous medium equation from a microscopic dynamics	6
On the structure of periodic eigenvalues of the vectorial p-Laplacian	6
Instability in large bounded domains—branched versus unbranched resonances	6
Computability of topological pressure on compact shift spaces beyond finite type*	6
Computational symplectic topology and symmetric orbits in the restricted three-body problem	6
Homotopical minimal measures for geodesic flows on surfaces of higher genus	6
Linear and fractional response for nonlinear dissipative SPDEs	6
The incompressible Navier–Stokes limit from the discrete-velocity BGK Boltzmann equation	6
Multi-valued perturbations on stochastic evolution equations driven by fractional Brownian motions	6
Global well-posedness for 2D fractional inhomogeneous Navier–Stokes equations with rough density	6
A local pointwise inequality for a biharmonic equation with negative exponents	6
Solutions to a nonlinear Dirac–Maxwell system: from periodic waves to soliton-like waves	6
Superballistic and superdiffusive scaling limits of stochastic harmonic chains with long-range interactions	6
The inverse scattering transform for weak Wigner–von Neumann type potentials *	6
Internal-wave billiards in trapezoids and similar tables	6
Metrical properties of the large products of partial quotients in continued fractions	6
Full asymptotic expansion of monodromy data for the first Painlevé transcendent: applications to connection problems	6
Relative equilibria of mechanical systems with rotational symmetry	6
Dihedral rings of patterns emerging from a Turing bifurcation	6
Integrable semi-discretisation of the Drinfel’d–Sokolov hierarchies	6
On the Cauchy problem for the Hartree approximation in quantum dynamics	6
The uniqueness and monotonicity of incompressible jet with two fluids*	6
Integrable magnetic geodesic flows on 2-surfaces *	6
Mathematical theory of transverse-magnetic guided waves in a plane waveguide filled with nonhomogeneous nonlinear medium	6
Asymptotics of the Hausdorff dimensions of the Julia sets of McMullen maps with error bounds*	5
The twisted baker map	5
Locating Ruelle–Pollicott resonances*	5
Remarks on sparseness and regularity of Navier–Stokes solutions	5
Algorithms for solving high dimensional PDEs: from nonlinear Monte Carlo to machine learning	5
Liouville type results for the fractional truncated Laplacians in a half-space	5
The hyperbolic umbilic singularity in fast-slow systems	5
Elementary fractal geometry. 5. Weak separation is strong separation	5
Elementary catastrophes underlying bifurcations of vector fields and PDEs	5
Bounds on buoyancy driven flows with Navier-slip conditions on rough boundaries	5
Nonlinear steepest descent on a torus: a case study of the Landau–Lifshitz equation	5
Chaotic dynamics in refraction galactic billiards	5
A quantitative closing lemma and partner orbits on Riemannian manifolds with negative curvature*	5
Multiplicative Diophantine approximation with restricted denominators	5
Travelling wave dynamics in the nonlocal dispersal Fisher-KPP equation with distributed delay	5
On a variant of Hilbert’s 16th problem	5

Dispersive hydrodynamics in non-Hermitian nonlinear Schrödinger equation with complex external potential	5
Generalized Hardy operators	5
Spectrality of a class of infinite convolutions on	5
Normalized multibump solutions to nonlinear Schrödinger equations with steep potential well	5
Regularity and upper semicontinuity of pullback attractors for non-autonomous Rao–Nakra beam	5
Asymptotic behaviour of global vortex rings	5
Spectral instability of small-amplitude periodic waves of the electronic Euler–Poisson system	5
Matrix-valued θ-deformed bi-orthogonal polynomials, non-commutative Toda theory and Bäcklund transformation	5
Critical intermittency in rational maps	5
Scattering of solutions with group invariance for the fourth-order nonlinear Schrödinger equation	5
Pushed and pulled fronts in a logistic Keller–Segel model with chemorepulsion*	5
Integrable non-local models with Hilbert transform reduced from Schrödinger equations	5
Asymptotic limits for strain-gradient viscoelasticity with nonconvex energy	5
Global existence and decay estimates of solutions to the MHD–Boussinesq system with stratification effects*	5
Well-posedness and dynamics of solutions to the generalized KdV with low power nonlinearity	5
Analytic weak-stable manifolds in unfoldings of saddle-nodes*	5
Bi-Hamiltonian structure of Sutherland models coupled to two u(n)* -valued spins from Poisson reduction	5
Almost sure scattering at mass regularity for radial Schrödinger equations	5
Asymptotic behavior of a semilinear non-autonomous wave equation with distributed delay and analytic nonlinearity	5
Integrable differential systems for deformed Laguerre–Hahn orthogonal polynomials	5
On global dynamics of type-K competitive Kolmogorov differential systems	5
Zero surface tension limit of the free-boundary problem in incompressible magnetohydrodynamics*	5
Homogenization for sub-riemannian Lagrangians	5
Periodic localised traveling waves in the two-dimensional suspension bridge equation	5
Stability threshold of Couette flow for 2D MHD equations in the Sobolev space	5
Existence and stability for the travelling waves of the Benjamin equation	5
Existence of bounded solutions for a non-periodic sublinear equation with an obstacle*	5
Global existence and modulation analysis for the stochastic Degasperis–Procesi equation with transport noise	5
Global unique solvability of inhomogeneous incompressible Navier–Stokes equations with nonnegative density	4
Near-resonance approximation of rotating Navier–Stokes equations	4
Boundary effects on the emergence of quasi-periodic solutions for Euler equations	4
On formal series solutions to 4th-order quadratic homogeneous differential equations and their convergence	4
Radial solutions to a chemotaxis-consumption model involving prescribed signal concentrations on the boundary	4
Microscopic patterns in the 2D phase-field-crystal model	4
Space-time statistical solutions of the incompressible Euler equations and Landau-Lifshitz fluctuating hydrodynamics	4
On the Schrödinger map for regular helical polygons in the hyperbolic space	4
Orbital and parametric normal forms for families of Hopf-zero singularity	4
Weighted twisted inhomogeneous diophantine approximation	4
Multifractal analysis in non-uniformly hyperbolic interval maps	4
Spectral stability of pattern-forming fronts in the complex Ginzburg–Landau equation with a quenching mechanism	4
Classification of solutions of the 2D steady Navier-Stokes equations with separated variables in cone-like domains	4
Wm-algebras and fractional powers of difference operators	4
Stationary soap film bridge subjected to an electrostatic force: the balanced case	4
New Hausdorff-type dimensions and optimal bounds for bilipschitz invariant dimensions*	4
Trace formulas revisited and a new representation of KdV solutions with short-range initial data	4
A model of the cubic connectedness locus	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
Almost global existence for some Hamiltonian PDEs on manifolds with globally integrable geodesic flow	4
Periodic solutions of the non-chiral intermediate Heisenberg ferromagnet equation described by elliptic spin Calogero-Moser dynamics	4
Genericity of historic behavior for maps and flows	4
Chiral limit of twisted trilayer graphene	4
Segregated solutions for a nonlinear Schrödinger system involving mass supercritical exponents	4
Normalized solutions for the Kirchhoff equation on noncompact metric graphs *	4
Compound Poisson statistics for dynamical systems via spectral perturbation	4
Global well-posedness of 2D Euler-α equation in exterior domain	4
Soft congestion approximation to the one-dimensional constrained Euler equations	4
On the effect of forcing on fold bifurcations and early-warning signals in population dynamics	4
Global existence and asymptotics for the modified two-dimensional Schrödinger equation in the critical regime	4
On the vorticity direction and the regularity of 3D Navier–Stokes equations	4
Genuine nonlinearity and its connection to the modified Korteweg–de Vries equation in phase dynamics	4
Miura-reciprocal transformations and localizable Poisson pencils	4
Singular limit of a chemotaxis model with indirect signal production and phenotype switching	4
Non-homogeneous initial boundary value problems and small data scattering of the Hirota equations posed on the half line	4
Algebraic entropy for hex systems	4
Effects of impulsive harvesting and an evolving domain in a diffusive logistic model*	4
Critical curve for a two-species chemotaxis model with two chemicals in R2 *	4
Corrigendum: A semi-periodic initial-value problem for the Kadomtsev–Petviashvili II equation (2023 Nonlinearity 36 5422)	4
Exactly self-similar blow-up of the generalized De Gregorio equation	4
Structural stability of subsonic steady states to the hydrodynamic model for semiconductors with sonic boundary	4
Multi-winged Lorenz attractors due to bifurcations of a periodic orbit with multipliers	4
Orbital stability of a sum of solitons and breathers of the modified Korteweg–de Vries equation	3
Periodic orbits in the Ott–Antonsen manifold	3
Finite switching near heteroclinic networks	3
Periodic trajectories in planar discontinuous piecewise linear systems with only centers and with a nonregular switching line	3
Joint moments of higher order derivatives of CUE characteristic polynomials II: structures, recursive relations, and applications	3
Invariant manifold of modified solitons for the perturbed sine-Gordon equation	3
Some existence results for the Brinkman-Fourier system	3
Cramér distance and discretisations of circle expanding maps I: theory	3
On spectral structure and spectral eigenvalue problems for a class of self similar spectral measure with product form	3
Existence and decay of mild solutions to fractional dissipative quasi-geostrophic type equations on	3
Collapse dynamics for two-dimensional space-time nonlocal nonlinear Schrödinger equations	3
Travelling waves and heteroclinic networks in models of spatially-extended cyclic competition	3
Consistent spectral approximation of Koopman operators using resolvent compactification	3
Hölder regularity for collapses of point-vortices	3
Navier–Stokes equations: regularity criteria in terms of the derivatives of several fundamental quantities along the streamlines—the case of a bounded domain	3
On the group of isometries of planar IFS fractals*	3
Continuity of the Lyapunov exponents of non-invertible random cocycles with constant rank	3
Optimal enhanced dissipation for contact Anosov flows	3
Lyapunov–Schmidt bifurcation analysis of a supported compressible elastic beam	3
On the structure of generic subshifts	3
Wasserstein convergence rates in the invariance principle for sequential dynamical systems	3
Internal ring waves in a three-layer fluid on a current with a constant vertical shear	3
High pointwise emergence and Katok’s conjecture for symbolic systems with non-uniform structure	3
Voting models and semilinear parabolic equations	3
Amplified steady state bifurcations in feedforward networks	3