Nonlinearity

Article	Citations
Instability of closed orbits obtained by minimization*	71
Resonance, symmetry, and bifurcation of periodic orbits in perturbed Rayleigh–Bénard convection	39
On the Lyapunov instability in Newtonian dynamics	34
Modeling the interplay of oscillatory synchronization and aggregation via cell–cell adhesion	30
Monotonicity of entropy for real quadratic rational maps	30
Quasi-graphs, zero entropy and measures with discrete spectrum	29
Heat-content and diffusive leakage from material sets in the low-diffusivity limit *	28
Absence of absolutely continuous diffraction spectrum for certain S-adic tilings	28
Quenching for axisymmetric hypersurfaces under forced mean curvature flows	22
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	18
Linear response due to singularities	17
Transition phenomena for the attractor of an iterated function system*	17
The measure transfer for subshifts induced by a morphism of free monoids	17
Stratonovich–Khasminskii averaging principle for multiscale random Korteweg–de Vries-Burgers equation	17
Anderson localization for the unitary almost Mathieu operator	16
Stationary coalescing walks on the lattice II: entropy	16
On multifractal analysis and large deviations of singular hyperbolic attractors	16
Maxwell–Bloch equations without spectral broadening: the long-time asymptotics of an input pulse in a long two-level laser amplifier	15
On ergodic optimisation for unimodal maps	15
Convergence of stochastic 2D inviscid Boussinesq equations with transport noise to a deterministic viscous system	15
Global dynamics of a reaction-diffusion brucellosis model with spatiotemporal heterogeneity and nonlocal delay	14
Extending discrete geometric singular perturbation theory to non-hyperbolic points	14
On uniqueness properties of solutions of the generalized fourth-order Schrödinger equations	14

Hardy inequalities for magnetic p-Laplacians	14
Global dynamics in a Keller–Segel system with rotation and indirect signal production	13
Algebraic identifiability of partial differential equation models	13
Approximate localised dihedral patterns near a turing instability	13
Unbounded solutions for the Muskat problem	12
A new convex integration approach for the compressible Euler equations and failure of the local maximal dissipation criterion	12
Topological bifurcation structure of one-parameter families of C 1 unimodal maps	12
A note on cascade flux laws for the stochastically-driven nonlinear Schrödinger equation	12
Integrable hierarchies, Frölicher–Nijenhuis bicomplexes and Lauricella bi-flat F-manifolds	12
On universality for the kinetic wave equation	12
Maximisers for Strichartz inequalities on the torus	11
Superintegrability of Calogero–Moser systems associated with the cyclic quiver	11
Simple two-layer dispersive models in the Hamiltonian reduction formalism	11
Exponential moments for disk counting statistics of random normal matrices in the critical regime	11
On the characterisation of fragmented Bose–Einstein condensation and its emergent effective evolution	11
Equilibrium states for hyperbolic potentials via inducing schemes *	11
Intersections of middle-α Cantor sets with a fixed translation	11
Quenched Poisson processes for random subshifts of finite type	11
Weak–strong uniqueness property for models of compressible viscous fluids near vacuum*	10
Global existence of weak solutions and weak–strong uniqueness for nonisothermal Maxwell–Stefan systems *	10
Weighted L 2-contractivity of Langevin dynamics with singular potentials	10
The linear and nonlinear instability of the Akhmediev breather	10
Logarithmic Schrödinger equation with quadratic potential*	10
Ahead of the Fisher–KPP front	10
Reaction–diffusion model for a population structured in phenotype and space: I. Criterion for persistence	10
Uniform regularity and zero capillarity-viscosity limit for an inhomogeneous incompressible fluid model of Korteweg type in half-space	10
Prevention of infinite-time blowup by slightly super-linear degradation in a Keller–Segel system with density-suppressed motility	10
Nonlinear stability of the two-jet Kolmogorov type flow on the unit sphere under a perturbation with nondissipative part	10
Classical n-body scattering with long-range potentials	10
The strong vanishing viscosity limit with Dirichlet boundary conditions	10
Flexibility and rigidity of free boundary MHD equilibria	9
Mean dimension of Bernstein spaces and universal real flows	9
Equilibrium measures on Julia sets of random quadratic polynomials	9
Historic wandering domains near cycles	9
L q -spectra of graph-directed planar non-conformal measures	9
The Bernoulli property for counter-twisting linked twist maps	9
Global well-posedness of 3D inhomogeneous Navier–Stokes system with small unidirectional derivative	9
Mathematical reformulation of the Kolmogorov–Richardson energy cascade in terms of vortex stretching	9
Continua and persistence of periodic orbits in ensembles of oscillators	9
Characteristic approach to the soliton resolution	9
Small-data global existence of solutions for the Pitaevskii model of superfluidity	9
Singularly perturbed boundary-equilibrium bifurcations	9
New Liouville type theorems for the stationary Navier–Stokes, MHD, and Hall–MHD equations	9
Local equilibrium of particle density in planar Lorentz processes	9
Corrigendum: Local well-posedness of the coupled Yang–Mills and Dirac system for low regularity data (2022 Nonlinearity 35 1)	9
Density of periodic measures and large deviation principle for generalised mod one transformations	9
Dulac maps of real saddle-nodes	8
Singular Euler–Maclaurin expansion on multidimensional lattices	8
Derivation of ensemble Kalman–Bucy filters with unbounded nonlinear coefficients	8
A multiple time renewal equation for neural assemblies with elapsed time model	8

Uniqueness of Denjoy minimal sets for twist maps with zero entropy *	8
Scaled pressure of continuous flows*	8
Bistable boundary conditions implying codimension 2 bifurcations	8
Global solutions to the tangential Peskin problem in 2-D	8
Failure of scattering for the NLSE with a point interaction in dimension two and three	8
Energy estimates and convergence of weak solutions of the porous medium equation	8
Klein–Gordon equation with mean field interaction. Orbital and asymptotic stability of solitary waves *	8
Gromov–Hausdorff variational principles and measure stability *	8
Travelling modulating pulse solutions with small tails for a nonlinear wave equation in periodic media	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
On zeros and spectral property of self-affine measures	8
Assouad type dimensions of infinitely generated self-conformal sets	7
Higher-order superintegrable momentum-dependent Hamiltonians on curved spaces from the classical Zernike system	7
Traveling wave solutions of a class of multi-species non-cooperative reaction–diffusion systems *	7
Time-dependent billiards, variational method, and invariant tori	7
On time-periodic solutions to an interaction problem between compressible viscous fluids and viscoelastic beams	7
A regularized shallow-water waves system with slip-wall boundary conditions in a basin: theory and numerical analysis	7
Equivalence of rigid motions and relative equilibria in the N-body problem on the two-sphere	7
Depinning transition of travelling waves for particle chains	7
Global dynamics of an SIS epidemic model with cross-diffusion: applications to quarantine measures	7
Global well-posedness for the cubic fractional NLS on the unit disk	7
Shape dynamics of N point vortices on the sphere	7
Improving the Adam optimizer using time delays	7
Invariant measures for stochastic conservation laws on the line	7
Metrical properties of the large products of partial quotients in continued fractions	7
Critical transitions for scalar nonautonomous systems with concave nonlinearities: some rigorous estimates	7
Convex computation of maximal Lyapunov exponents	6
Infinitely many localized semiclassical states for critical nonlinear Dirac equations	6
Continuity of sub-additive topological pressure with matrix cocycles *	6
Upper and lower bounds for the speed of fronts of the reaction diffusion equation with Stefan boundary conditions	6
Linear and fractional response for nonlinear dissipative SPDEs	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
Multi-valued perturbations on stochastic evolution equations driven by fractional Brownian motions	6
Integrable magnetic geodesic flows on 2-surfaces *	6
Full asymptotic expansion of monodromy data for the first Painlevé transcendent: applications to connection problems	6
Scattering of solutions with group invariance for the fourth-order nonlinear Schrödinger equation	6
Lax matrices for lattice equations which satisfy consistency-around-a-face-centered-cube	6
Equivariant bifurcation, quadratic equivariants, and symmetry breaking for the standard representation of S k	6
Reducible Abelian varieties and Lax matrices for Euler’s problem of two fixed centres	6
Long time existence of the non-isentropic slightly compressible Navier-Stokes equations with boundary conditions	6
Nonlinear parabolic stochastic evolution equations in critical spaces Part I. Stochastic maximal regularity and local existence*	6
The incompressible Navier–Stokes limit from the discrete-velocity BGK Boltzmann equation	6
Superballistic and superdiffusive scaling limits of stochastic harmonic chains with long-range interactions	6
The uniqueness and monotonicity of incompressible jet with two fluids*	6
Dihedral rings of patterns emerging from a Turing bifurcation	6
Internal-wave billiards in trapezoids and similar tables	6
Computational symplectic topology and symmetric orbits in the restricted three-body problem	6
Global dynamics of a nonlocal non-uniformly parabolic equation arising from the curvature flow*	6
Gelfand–Dickey hierarchy, generalized BGW tau-function, and W-constraints	6
Center manifolds without a phase space for quasilinear problems in elasticity, biology, and hydrodynamics	6
Mathematical theory of transverse-magnetic guided waves in a plane waveguide filled with nonhomogeneous nonlinear medium	6
Instability in large bounded domains—branched versus unbranched resonances	6
Derivation of the fractional porous medium equation from a microscopic dynamics	6
Infinitely many new solutions for singularly perturbed Schrödinger equations	6
On the structure of periodic eigenvalues of the vectorial p-Laplacian	6
Relative equilibria of mechanical systems with rotational symmetry	6
Computability of topological pressure on compact shift spaces beyond finite type*	6
The inverse scattering transform for weak Wigner–von Neumann type potentials *	6
Sharp bounds on enstrophy growth for viscous scalar conservation laws	6
On the Cauchy problem for the Hartree approximation in quantum dynamics	5
The hyperbolic umbilic singularity in fast-slow systems	5
Asymptotics of the Hausdorff dimensions of the Julia sets of McMullen maps with error bounds*	5
Asymptotic limits for strain-gradient viscoelasticity with nonconvex energy	5
Spectrality of a class of infinite convolutions on R *	5
Nonlinear steepest descent on a torus: a case study of the Landau–Lifshitz equation	5
Dispersive hydrodynamics in non-Hermitian nonlinear Schrödinger equation with complex external potential	5
Multiplicative Diophantine approximation with restricted denominators	5
Locating Ruelle–Pollicott resonances*	5
Stability threshold of Couette flow for 2D MHD equations in the Sobolev space	5
Asymptotic behaviour of global vortex rings	5
Travelling wave dynamics in the nonlocal dispersal Fisher-KPP equation with distributed delay	5
Regularity and upper semicontinuity of pullback attractors for non-autonomous Rao–Nakra beam	5
Global existence and modulation analysis for the stochastic Degasperis–Procesi equation with transport noise	5
Singular solutions for the conformal Dirac–Einstein problem on the sphere	5
Bounds on buoyancy driven flows with Navier-slip conditions on rough boundaries	5
Homogenization for sub-riemannian Lagrangians	5
Zero surface tension limit of the free-boundary problem in incompressible magnetohydrodynamics*	5

Remarks on sparseness and regularity of Navier–Stokes solutions	5
Pushed and pulled fronts in a logistic Keller–Segel model with chemorepulsion*	5
Spectral instability of small-amplitude periodic waves of the electronic Euler–Poisson system	5
Normalized multibump solutions to nonlinear Schrödinger equations with steep potential well	5
Global existence and decay estimates of solutions to the MHD–Boussinesq system with stratification effects*	5
Almost sure scattering at mass regularity for radial Schrödinger equations	5
Existence and stability for the travelling waves of the Benjamin equation	5
Analytic weak-stable manifolds in unfoldings of saddle-nodes*	5
Chaotic dynamics in refraction galactic billiards	5
On a variant of Hilbert’s 16th problem	5
Global well-posedness for 2D fractional inhomogeneous Navier–Stokes equations with rough density	5
Elementary catastrophes underlying bifurcations of vector fields and PDEs	5
Critical intermittency in rational maps	5
Liouville type results for the fractional truncated Laplacians in a half-space	5
Integrable differential systems for deformed Laguerre–Hahn orthogonal polynomials	5
Matrix-valued θ-deformed bi-orthogonal polynomials, non-commutative Toda theory and Bäcklund transformation	5
Integrable non-local models with Hilbert transform reduced from Schrödinger equations	5
Bi-Hamiltonian structure of Sutherland models coupled to two u(n)* -valued spins from Poisson reduction	5
Existence of bounded solutions for a non-periodic sublinear equation with an obstacle*	5
The twisted baker map	5
Well-posedness and dynamics of solutions to the generalized KdV with low power nonlinearity	5
On global dynamics of type-K competitive Kolmogorov differential systems	5
Integrable semi-discretisation of the Drinfel’d–Sokolov hierarchies	5
Asymptotic behavior of a semilinear non-autonomous wave equation with distributed delay and analytic nonlinearity	4
Normalized solutions for the Kirchhoff equation on noncompact metric graphs *	4
On the vorticity direction and the regularity of 3D Navier–Stokes equations	4
On the effect of forcing on fold bifurcations and early-warning signals in population dynamics	4
On formal series solutions to 4th-order quadratic homogeneous differential equations and their convergence	4
Structural stability of subsonic steady states to the hydrodynamic model for semiconductors with sonic boundary	4
Trace formulas revisited and a new representation of KdV solutions with short-range initial data	4
Chiral limit of twisted trilayer graphene	4
Multi-winged Lorenz attractors due to bifurcations of a periodic orbit with multipliers	4
Global well-posedness of 2D Euler-α equation in exterior domain	4
Genericity of historic behavior for maps and flows	4
Critical curve for a two-species chemotaxis model with two chemicals in R2 *	4
Algebraic entropy for hex systems	4
Spectral stability of pattern-forming fronts in the complex Ginzburg–Landau equation with a quenching mechanism	4
Two-dimensional reductions of the Whitham modulation system for the Kadomtsev–Petviashvili equation	4
Generalized Hardy operators	4
Elementary fractal geometry. 5. Weak separation is strong separation	4
Effects of impulsive harvesting and an evolving domain in a diffusive logistic model*	4
Genuine nonlinearity and its connection to the modified Korteweg–de Vries equation in phase dynamics	4
Global unique solvability of inhomogeneous incompressible Navier–Stokes equations with nonnegative density	4
Global existence and asymptotics for the modified two-dimensional Schrödinger equation in the critical regime	4
Weighted twisted inhomogeneous diophantine approximation	4
Orbital and parametric normal forms for families of Hopf-zero singularity	4
Almost global existence for some Hamiltonian PDEs on manifolds with globally integrable geodesic flow	4
Miura-reciprocal transformations and localizable Poisson pencils	4
Classification of solutions of the 2D steady Navier-Stokes equations with separated variables in cone-like domains	4
On the Schrödinger map for regular helical polygons in the hyperbolic space	4
Exactly self-similar blow-up of the generalized De Gregorio equation	4
Microscopic patterns in the 2D phase-field-crystal model	4
Segregated solutions for a nonlinear Schrödinger system involving mass supercritical exponents	4
Periodic solutions of the non-chiral intermediate Heisenberg ferromagnet equation described by elliptic spin Calogero-Moser dynamics	4
Periodic localised traveling waves in the two-dimensional suspension bridge equation	4
Singular limit of a chemotaxis model with indirect signal production and phenotype switching	4
Multifractal analysis in non-uniformly hyperbolic interval maps	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
Wm-algebras and fractional powers of difference operators	4
Near-resonance approximation of rotating Navier–Stokes equations	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
A model of the cubic connectedness locus	4
Soft congestion approximation to the one-dimensional constrained Euler equations	4
Boundary effects on the emergence of quasi-periodic solutions for Euler equations	4
Non-homogeneous initial boundary value problems and small data scattering of the Hirota equations posed on the half line	4
Corrigendum: A semi-periodic initial-value problem for the Kadomtsev–Petviashvili II equation (2023 Nonlinearity 36 5422)	4
Numerical study on how advection delays and removes singularity formation in the Navier–Stokes equations	4
Algorithms for solving high dimensional PDEs: from nonlinear Monte Carlo to machine learning	4
Optimal enhanced dissipation for contact Anosov flows	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
Some existence results for the Brinkman-Fourier system	3
Amplified steady state bifurcations in feedforward networks	3
On the group of isometries of planar IFS fractals*	3
An inverse problem for the minimal surface equation in the presence of a riemannian metric	3
High pointwise emergence and Katok’s conjecture for symbolic systems with non-uniform structure	3
Internal ring waves in a three-layer fluid on a current with a constant vertical shear	3
On spectral structure and spectral eigenvalue problems for a class of self similar spectral measure with product form	3
Periodic trajectories in planar discontinuous piecewise linear systems with only centers and with a nonregular switching line	3
Voting models and semilinear parabolic equations	3
Invariant manifold of modified solitons for the perturbed sine-Gordon equation	3
Continuity of the Lyapunov exponents of non-invertible random cocycles with constant rank	3
Existence of traveling wave solutions for density-dependent diffusion competitive systems	3
Permanence of equilibrium points in the basin of attraction and existence of periodic solutions for autonomous measure differential equations and dynamic equations on time scales via generalized ODEs	3
Hölder regularity for collapses of point-vortices	3
Consistent spectral approximation of Koopman operators using resolvent compactification	3
On non-contractible periodic orbits and bounded deviations	3
Partial regularity for an exponential PDE in crystal surface models	3
Cramér distance and discretisations of circle expanding maps I: theory	3
Collapse dynamics for two-dimensional space-time nonlocal nonlinear Schrödinger equations	3
Orbital stability of a sum of solitons and breathers of the modified Korteweg–de Vries equation	3
On a stochastic generalized delayed SIR model with vaccination and treatment	3
Existence and decay of mild solutions to fractional dissipative quasi-geostrophic type equations on	3
Periodic orbits in the Ott–Antonsen manifold	3