- The Q-switching instability in passively mode-locked
- The Existence and Stability of Spike Equilibria in the One-Dimensional Gray-Scott Model: The Low Feed-Rate Regime
- The Stability of a Stripe for the Gierer-Meinhardt Model and the Effect of Saturation
- Complex patterns in patricle aggregation models of biological formation
- SMOKE-RING SOLUTIONS OF GIERER-MEINHARDT SYSTEM IN R3 THEODORE KOLOKOLNIKOV AND XIAOFENG REN
- A threshold area ratio of organic to conventional agriculture causes recurrent pathogen outbreaks in organic agriculture
- Interface oscillations in reaction-diffusion systems beyond the Hopf bifurcation
- SIMPLE PDE MODEL OF SPOT REPLICATION IN ANY DIMENSION CHIUN-CHUAN CHEN
- Instability thresholds in the microwave heating model with exponential nonlinearity.
- bOOk REvIEws continued VOLUME 41 NO. 2 --MAR 2009 5
- Profiles of self-shading, sinking phytoplankton with finite depth
- Under consideration for publication in the Journal of Nonlinear Studies 1 Spot Self-Replication and Dynamics for the Schnakenburg
- STABILITY OF CURVED INTERFACES IN THE PERTURBED TWO-DIMENSIONAL ALLEN-CAHN SYSTEM
- Physica D 214 (2006) 6377 www.elsevier.com/locate/physd
- Under consideration for publication in Euro. Jnl of Applied Mathematics 1 Reduced Wave Green's Functions and Their Effect on
- Boundary value problems with very sharp structures: numerical challenges
- A simple model of self-replication -20 -15 -10 -5 0 5 10 15 20
- Numerical computation of boundary value problems with very sharp layers
- Ring and smoke-ring patterns in Gierer-Meinhardt system
- Coarsening and self-replication of mesa patterns in reaction-diffusion systems
- Spots, stripes, and labyrinths in reaction diffusion systems
- PATTERN FORMATION IN REACTION-DIFFUSION MODELS FAR FROM THE TURING REGIME
- Stability transitions and dynamics of mesa patterns near the shadow limit of reaction-diffusion systems in one space dimension
- Under consideration for publication in Euro. Jnl of Applied Mathematics 1 Optimizing the Fundamental Neumann Eigenvalue for
- Self-replication of mesa patterns in reaction-diffusion systems
- Ring patterns in patrticle aggregation models Theodore Kolokolnikov, Hui Sun, David Uminsky, and Andrea Bertozzi
- The Existence and Stability of Spike Equilibria in the One-Dimensional Gray-Scott Model: The Pulse-Splitting Regime
- POSITIVE CLUSTERED LAYERED SOLUTIONS FOR THE GIERER-MEINHARDT SYSTEM
- A theory of complex patterns arising from 2D particle interactions Theodore Kolokolnikov
- Exact solutions and dynamics for the aggregation model with singular repulsion and
- The Stability and Dynamics of a Spike in the One-Dimensional Keller-Segel model
- Swarm dynamics and equilibria for a nonlocal aggregation model R. C. Fetecau
- Under consideration for publication in Euro. Jnl of Applied Mathematics 1 On Ring-like Solutions For the Gray-Scott Model
- Stability of spikes in the presence of cross-diffusion
- Instability thresholds in the microwave heating model with exponential nonlinearity.
- Under consideration for publication in SIAM Multiscale Modeling and Simulation 1 An Asymptotic Analysis of the Mean First Passage Time
- Stability of spiky solutions in a competition model with cross-diffusion
- Stability of spiky solutions in a competition model with cross-diffusion
- Mesa-type structures and their stability in the
- First-order Ordinary Differential Equations, Symmetries and Linear Transformations1 Under consideration for publication in Euro. Jnl of Applied Mathematics 2
- Zigzag and Breakup Instabilities of Stripes and Rings in the TwoDimensional GrayScott Model
- Instability thresholds and dynamics of mesa patterns in reaction-diffusion systems
- SIMPLE PDE MODEL OF SPOT REPLICATION IN ANY DIMENSION CHIUN-CHUAN CHEN AND THEODORE KOLOKOLNIKOV
- SMOKE-RING SOLUTIONS OF GIERER-MEINHARDT SYSTEM IN R3 THEODORE KOLOKOLNIKOV AND XIAOFENG REN
- Organic agriculture cannot replace conventional agriculture
- Slow Translational Instabilities of Spike Patterns in the One-Dimensional Gray-Scott Model
- The Existence and Stability of Spike Equilibria in the One-Dimensional Gray-Scott Model on a Finite Domain
- EXISTENCE AND STABILITY ANALYSIS OF SPIKY SOLUTIONS FOR THE GIERER-MEINHARDT SYSTEM WITH LARGE REACTION RATES
- Curved interfaces in perturbed Allen-Cahn system Theodore Kolokolnikov
- DISCRETE AND CONTINUOUS Website: http://AIMsciences.org DYNAMICAL SYSTEMSSERIES B
- Swarm dynamics and equilibria for a nonlocal aggregation model R. C. Fetecau
- Stability of ring patterns arising from 2D particle interactions Theodore Kolokolnikov , Hui Sun
- Introduction: Dissipative localized structures in extended systems Mustapha Tlidi
- Euro. Jnl of Applied Mathematics (2005), vol. 16, pp. 161200. c 2005 Cambridge University Press doi:10.1017/S0956792505006145 Printed in the United Kingdom
- Singular patterns for an aggregation model with a confining potential
- The Stability of Steady-State Hot-Spot Patterns for a Reaction-Diffusion Model of Urban Crime
