Turing and Benjamin–Feir instability mechanisms in non-autonomous systems

Diffusive instabilities and spatial patterning from the coupling of reaction–diffusion processes with Stokes flow in complex domains

(2019) Robert A. Van Gorder et al.   JOURNAL OF FLUID MECHANICS

Long transients in ecology: Theory and applications

(2019) Andrew Morozov et al.   Physics of Life Reviews

Pattern formation on time-dependent domains

(2019) M. Ghadiri et al.   JOURNAL OF FLUID MECHANICS

Bose–Einstein condensation under the cubic–quintic Gross–Pitaevskii equation in radial domains

(2018) Ellen K. Luckins et al.   ANNALS OF PHYSICS

On complex wave solutions governed by the 2D Ginzburg–Landau equation with variable coefficients

(2018) M.S. Osman   OPTIK

Transient phenomena in ecology

(2018) Alan Hastings et al.   SCIENCE

Instability in the self-similar motion of a planar solidification front

(2017) Ferran Brosa Planella et al.   IMA JOURNAL OF APPLIED MATHEMATICS

Stability on time-dependent domains: convective and dilution effects

(2017) R. Krechetnikov et al.   PHYSICA D-NONLINEAR PHENOMENA

Theory of Turing Patterns on Time Varying Networks

(2017) Julien Petit et al.   PHYSICAL REVIEW LETTERS

History dependence and the continuum approximation breakdown: the impact of domain growth on Turing’s instability

(2017) Václav Klika et al.   PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES

Instability in Linear Cooperative Systems of Ordinary Differential Equations

(2017) Janusz Mierczyński   SIAM REVIEW

Curvature-induced symmetry breaking determines elastic surface patterns

(2015) Norbert Stoop et al.   NATURE MATERIALS

Turing-like instabilities from a limit cycle

(2015) Joseph D. Challenger et al.   PHYSICAL REVIEW E

Problems on Time-Varying Domains: Formulation, Dynamics, and Challenges

(2014) E. Knobloch et al.   ACTA APPLICANDAE MATHEMATICAE

In vivo imaging of the time-dependent apparent diffusional kurtosis in the human calf muscle

(2014) Anja Maria Marschar et al.   JOURNAL OF MAGNETIC RESONANCE IMAGING

Stability on Time-Dependent Domains

(2014) E. Knobloch et al.   JOURNAL OF NONLINEAR SCIENCE

Digit patterning is controlled by a Bmp-Sox9-Wnt Turing network modulated by morphogen gradients

(2014) J. Raspopovic et al.   SCIENCE

Turing patterns in development: what about the horse part?

(2012) Luciano Marcon et al.   CURRENT OPINION IN GENETICS & DEVELOPMENT

MODULATIONAL INSTABILITY OF A BOSE–EINSTEIN CONDENSATE BEYOND THE FERMI PSEUDOPOTENTIAL WITH A TIME-DEPENDENT COMPLEX POTENTIAL

(2012) DIDIER BELOBO BELOBO et al.   INTERNATIONAL JOURNAL OF MODERN PHYSICS B

Generation of matter-wave solitons of the Gross-Pitaevskii equation with a time-dependent complicated potential

(2011) Alidou Mohamadou et al.   PHYSICAL REVIEW A

Bright and dark optical solitons with time-dependent coefficients in a non-Kerr law media

(2010) Patrice D. Green et al.   Communications in Nonlinear Science and Numerical Simulation

Stability analysis of non-autonomous reaction-diffusion systems: the effects of growing domains

(2009) Anotida Madzvamuse et al.   JOURNAL OF MATHEMATICAL BIOLOGY

Partial differential equations for self-organization in cellular and developmental biology

(2008) R E Baker et al.   NONLINEARITY

Modeling proliferative tissue growth: A general approach and an avian case study

(2008) Benjamin J. Binder et al.   PHYSICAL REVIEW E

Localized Nonlinear Waves in Systems with Time- and Space-Modulated Nonlinearities

(2008) Juan Belmonte-Beitia et al.   PHYSICAL REVIEW LETTERS

Unstable Solutions of Nonautonomous Linear Differential Equations

(2008) Krešimir Josić et al.   SIAM REVIEW