The search for and classification of integrable Abel ODE classes. - Edgardo S. Cheb-Terrab; Theodore Kolokolnikov; Austin D. Roche (SIGSAM Bull., 1999)

The existence and stability of spike equilibria in the one-dimensional Gray-Scott model on a finite domain. - Theodore Kolokolnikov; Michael Jeffrey Ward; Juncheng Wei (Appl. Math. Lett., 2005)

The Stability of a Stripe for the Gierer-Meinhardt Model and the Effect of Saturation. - Theodore Kolokolnikov; Wentao Sun; Michael Jeffrey Ward; Juncheng Wei (SIAM J. Appl. Dyn. Syst., 2006)

Spot Self-Replication and Dynamics for the Schnakenburg Model in a Two-Dimensional Domain. - Theodore Kolokolnikov; Michael Jeffrey Ward; Juncheng Wei (J. Nonlinear Sci., 2009)

Stability of Curved Interfaces in the Perturbed Two-Dimensional Allen–Cahn System. - David Iron; Theodore Kolokolnikov; John Rumsey; Juncheng Wei (SIAM J. Appl. Math., 2009)

An Asymptotic Analysis of the Mean First Passage Time for Narrow Escape Problems: Part I: Two-Dimensional Domains. - Samara Pillay; Michael Jeffrey Ward; Anthony Peirce; Theodore Kolokolnikov (Multiscale Model. Simul., 2010)

Smoke-Ring Solutions of Gierer-Meinhardt System in R3. - Theodore Kolokolnikov; Xiaofeng Ren (SIAM J. Appl. Dyn. Syst., 2011)

Stability of Spiky Solutions in a Competition Model with Cross-Diffusion. - Theodore Kolokolnikov; Juncheng Wei (SIAM J. Appl. Math., 2011)

Simple PDE Model of Spot Replication in Any Dimension. - Chiun-Chuan Chen; Theodore Kolokolnikov (SIAM J. Math. Anal., 2012)

Crime Modeling with Lévy Flights. - Sorathan Chaturapruek; Jonah Breslau; Daniel Yazdi; Theodore Kolokolnikov; Scott G. McCalla (SIAM J. Appl. Math., 2013)

Maximizing algebraic connectivity for certain families of graphs. - Theodore Kolokolnikov (CoRR, 2014)

Basic Mechanisms Driving Complex Spike Dynamics in a Chemotaxis Model with Logistic Growth. - Theodore Kolokolnikov; Juncheng Wei; Adam Alcolado (SIAM J. Appl. Math., 2014)

Mean First Passage Time for a Small Rotating Trap inside a Reflective Disk. - J. C. Tzou; Theodore Kolokolnikov (Multiscale Model. Simul., 2015)

The Transition to a Point Constraint in a Mixed Biharmonic Eigenvalue Problem. - Alan E. Lindsay; Michael Jeffrey Ward; Theodore Kolokolnikov (SIAM J. Appl. Math., 2015)

Metastable States for an Aggregation Model with Noise. - Joep H. M. Evers; Theodore Kolokolnikov (SIAM J. Appl. Dyn. Syst., 2016)

Weakly Nonlinear Analysis of Vortex Formation in a Dissipative Variant of the Gross-Pitaevskii Equation. - J. C. Tzou; Panayotis G. Kevrekidis; Theodore Kolokolnikov; Ricardo Carretero-González (SIAM J. Appl. Dyn. Syst., 2016)

Optimization of First Passage Times by Multiple Cooperating Mobile Traps. - Alan E. Lindsay; J. C. Tzou; Theodore Kolokolnikov (Multiscale Model. Simul., 2017)

Equilibria for an Aggregation Model with Two Species. - Joep H. M. Evers; Razvan C. Fetecau; Theodore Kolokolnikov (SIAM J. Appl. Dyn. Syst., 2017)

The Stability and Slow Dynamics of Localized Spot Patterns for the 3-D Schnakenberg Reaction-Diffusion Model. - J. C. Tzou; Shuangquan Xie; Theodore Kolokolnikov; Michael Jeffrey Ward (SIAM J. Appl. Dyn. Syst., 2017)

Pattern Formation in a Reaction-Diffusion System with Space-Dependent Feed Rate. - Theodore Kolokolnikov; Juncheng Wei (SIAM Rev., 2018)

Spike Dynamics in the Presence of Noise. - Chunyi Gai; David Iron; Theodore Kolokolnikov; John Rumsey (SIAM J. Appl. Dyn. Syst., 2020)

Toroidal Vortex Filament Knots and Links: Existence, Stability and Dynamics. - Theodore Kolokolnikov; Chris Ticknor; Panayotis G. Kevrekidis (SIAM J. Appl. Dyn. Syst., 2020)

It is better to be semi-regular when you have a low degree. - Theodore Kolokolnikov (CoRR, 2021)

Resource-Mediated Competition Between Two Plant Species with Different Rates of Water Intake. - Chunyi Gai; Theodore Kolokolnikov (SIAM J. Appl. Math., 2023)

Attainable bounds for algebraic connectivity and maximally connected regular graphs. - Geoffrey Exoo; Theodore Kolokolnikov; Jeanette Janssen; Timothy Salamon (J. Graph Theory, 2024)

New approximations for network reliability. - Jason I. Brown; Theodore Kolokolnikov; Robert E. Kooij (Networks, 2024)