Theodore Kolokolnikov

发表

The Stability and Slow Dynamics of Localized Spot Patterns for the 3-D Schnakenberg Reaction-Diffusion Model

Michael J. Ward, S. Xie, J. C. Tzou, 2017, SIAM J. Appl. Dyn. Syst..

Weakly Nonlinear Analysis of Vortex Formation in a Dissipative Variant of the Gross-Pitaevskii Equation

Panayotis G. Kevrekidis, Ricardo Carretero-González, J. C. Tzou, 2015, SIAM J. Appl. Dyn. Syst..

PATTERN FORMATION IN REACTION-DIFFUSION MODELS FAR FROM THE TURING REGIME

Theodore Kolokolnikov, T. Kolokolnikov, 2004 .

Maximizing algebraic connectivity for certain families of graphs pdf

Theodore Kolokolnikov, T. Kolokolnikov, 2014, ArXiv.

Smoke-Ring Solutions of Gierer-Meinhardt System in R3

Xiaofeng Ren, Theodore Kolokolnikov, T. Kolokolnikov, 2011, SIAM J. Appl. Dyn. Syst..

Basic Mechanisms Driving Complex Spike Dynamics in a Chemotaxis Model with Logistic Growth

Juncheng Wei, Theodore Kolokolnikov, Adam Alcolado, 2014, SIAM J. Appl. Math..

Optimization of First Passage Times by Multiple Cooperating Mobile Traps

Alan E. Lindsay, J. C. Tzou, Theodore Kolokolnikov, 2017, Multiscale Model. Simul..

Metastable States for an Aggregation Model with Noise

Joep H. M. Evers, Theodore Kolokolnikov, T. Kolokolnikov, 2016, SIAM J. Appl. Dyn. Syst..

Stability of Curved Interfaces in the Perturbed Two-Dimensional Allen--Cahn System

Juncheng Wei, David Iron, John Rumsey, 2009, SIAM J. Appl. Math..

Simple PDE Model of Spot Replication in Any Dimension

Theodore Kolokolnikov, Chiun-Chuan Chen, T. Kolokolnikov, 2012, SIAM J. Math. Anal..

Toroidal Vortex Filament Knots and Links: Existence, Stability and Dynamics

Theodore Kolokolnikov, Christopher Ticknor, Panayotis Kevrekidis, 2019, SIAM J. Appl. Dyn. Syst..

Mean First Passage Time for a Small Rotating Trap inside a Reflective Disk

J. C. Tzou, Theodore Kolokolnikov, J. Tzou, 2014, Multiscale Model. Simul..

The existence and stability of spike equilibria in the one-dimensional Gray-Scott model on a finite domain

Juncheng Wei, Michael J. Ward, Theodore Kolokolnikov, 2005, Appl. Math. Lett..

Under Consideration for Publication in the Siam Journal of Applied Math the Transition to a Point Constraint in a Mixed Biharmonic Eigenvalue Problem

Alan E. Lindsay, Michael J. Ward, Theodore Kolokolnikov, 2022 .

Spot Self-Replication and Dynamics for the Schnakenburg Model in a Two-Dimensional Domain

Juncheng Wei, Michael J. Ward, Theodore Kolokolnikov, 2009, J. Nonlinear Sci..

Crime Modeling with Lévy Flights

Scott G. McCalla, Daniel Yazdi, Sorathan Chaturapruek, 2013, SIAM J. Appl. Math..

An Asymptotic Analysis of the Mean First Passage Time for Narrow Escape Problems: Part I: Two-Dimensional Domains

Michael J. Ward, A. Peirce, Theodore Kolokolnikov, 2010, Multiscale Model. Simul..

Equilibria for an Aggregation Model with Two Species

Razvan C. Fetecau, Joep H. M. Evers, Theodore Kolokolnikov, 2016, SIAM J. Appl. Dyn. Syst..

Spike Dynamics in the Presence of Noise

Theodore Kolokolnikov, Chunyi Gai, David Iron, 2020, SIAM J. Appl. Dyn. Syst..

Pattern Formation in a Reaction-Diffusion System with Space-Dependent Feed Rate

Juncheng Wei, Theodore Kolokolnikov, T. Kolokolnikov, 2018, SIAM Rev..

Stability of Spiky Solutions in a Competition Model with Cross-Diffusion

Juncheng Wei, Theodore Kolokolnikov, T. Kolokolnikov, 2011, SIAM J. Appl. Math..

The Stability of a Stripe for the Gierer-Meinhardt Model and the Effect of Saturation

Juncheng Wei, Wentao Sun, Michael J. Ward, 2006, SIAM J. Appl. Dyn. Syst..

It is better to be semi-regular when you have a low degree pdf

Theodore Kolokolnikov, T. Kolokolnikov, 2021, ArXiv.

Complex oscillatory motion of multiple spikes in a three-component Schnakenberg system

Theodore Kolokolnikov, Yasumasa Nishiura, Shuangquan Xie, 2021, Nonlinearity.

Laplace-Beltrami spectrum of ellipsoids that are close to spheres and analytic perturbation theory

Theodore Kolokolnikov, Suresh Eswarathasan, T. Kolokolnikov, 2021, 2102.03579.

Optimizing the fundamental Neumann eigenvalue for the Laplacian in a domain with small traps

Michael J. Ward, Michèle S. Titcombe, Theodore Kolokolnikov, 2005, European Journal of Applied Mathematics.

Swarming on Random Graphs

Andrea L. Bertozzi, Hui Sun, James H. von Brecht, 2013, Journal of Statistical Physics.

Reduced wave Green's functions and their effect on the dynamics of a spike for the Gierer–Meinhardt model

Michael J. Ward, Theodore Kolokolnikov, M. Ward, 2003, European Journal of Applied Mathematics.

Self-replication of mesa patterns in reaction-diffusion systems

Michael J. Ward, Juncheng Wei, Theodore Kolokolnikov, 2007 .

Singular patterns for an aggregation model with a confining potential

Yanghong Huang, Theodore Kolokolnikov, Mark Pavlovski, 2013 .

Ring states in swarmalator systems.

Joep H. M. Evers, Theodore Kolokolnikov, Kevin P O'Keeffe, 2017, Physical review. E.

Mesa-type patterns in the one-dimensional Brusselator and their stability

Thomas Erneux, Juncheng Wei, Theodore Kolokolnikov, 2005, nlin/0512040.

The existence and stability of spike equilibria in the one-dimensional Gray-Scott model: the pulse-splitting regime

Michael J. Ward, Juncheng Wei, Theodore Kolokolnikov, 2005 .

First-passage times, mobile traps, and Hopf bifurcations.

Theodore Kolokolnikov, Shuangquan Xie, J. Tzou, 2014, Physical review. E, Statistical, nonlinear, and soft matter physics.

Slow translational instabilities of spike patterns in the one-dimensional Gray-Scott model

Michael J. Ward, Juncheng Wei, Theodore Kolokolnikov, 2006 .

Spot deformation and replication in the two-dimensional Belousov-Zhabotinski reaction in a water-in-oil microemulsion.

Mustapha Tlidi, Theodore Kolokolnikov, 2007, Physical review letters.

Zigzag and Breakup Instabilities of Stripes and Rings in the Two-Dimensional Gray–Scott Model

Michael J. Ward, Juncheng Wei, Theodore Kolokolnikov, 2006 .

On large ring solutions for Gierer–Meinhardt system in R3

Juncheng Wei, Theodore Kolokolnikov, Wen Yang, 2013 .

A minimal model of predator-swarm dynamics

Theodore Kolokolnikov, T. Kolokolnikov, Yuxin Chen, 2013 .

Swarm dynamics and equilibria for a nonlocal aggregation model

Razvan C. Fetecau, Yanghong Huang, Theodore Kolokolnikov, 2011 .

Instability thresholds in the microwave heating model with exponential non-linearity

David Iron, Theodore Kolokolnikov, Adam Alcolado, 2011, European Journal of Applied Mathematics.

Stability transitions and dynamics of mesa patterns near the shadow limit of reaction-diffusion systems in one space dimension

Theodore Kolokolnikov, T. Kolokolnikov, Rebecca McKay, 2011 .

The Stability of Steady-State Hot-Spot Patterns for a Reaction-Diffusion Model of Urban Crime

Michael J. Ward, Juncheng Wei, Theodore Kolokolnikov, 2012, 1201.3090.

Collective behaviour of large number of vortices in the plane

Theodore Kolokolnikov, T. Kolokolnikov, Yuxin Chen, 2013, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.

On ring-like solutions for the Gray–Scott model: existence, instability and self-replicating rings

Juncheng Wei, Theodore Kolokolnikov, T. Kolokolnikov, 2005, European Journal of Applied Mathematics.