From Traveling Waves to Chaos in Combustion. - Alvin Bayliss; Bernard J. Matkowsky (SIAM J. Appl. Math., 1994)

Localized Flickering Cellular Flames. - Alvin Bayliss; Andreas Class; Bernard J. Matkowsky (SIAM J. Appl. Math., 1998)

Traveling Waves in Natural Counterflow Filtration Combustion and Their Stability. - Alvin Bayliss; Bernard J. Matkowsky; Daniel A. Schult (SIAM J. Appl. Math., 1998)

The Reactive Rayleigh-Bénard Problem with Throughflow. - Alvin Bayliss; Bernard J. Matkowsky; Christopher W. Wahle (SIAM J. Appl. Math., 2001)

Spiral flames. - Alexander V. Panfilov; Alvin Bayliss; Bernard J. Matkowsky (Appl. Math. Lett., 2003)

The transition from spinning to radial solid flame waves. - J. H. Park; Alvin Bayliss; Bernard J. Matkowsky (Appl. Math. Lett., 2004)

Dynamics in a Rod Model of Solid Flame Waves. - J. H. Park; Alvin Bayliss; B. J. Matkowsky (SIAM J. Appl. Math., 2004)

On the Route to Extinction in Nonadiabatic Solid Flames. - J. H. Park; Alvin Bayliss; Bernard J. Matkowsky; Alexander A. Nepomnyashchy (SIAM J. Appl. Math., 2006)

Asymptotic analysis of the bistable Lotka-Volterra competition-diffusion system. - Zihao Wang; Alvin Bayliss; Vladimir A. Volpert (Appl. Math. Comput., 2022)

Cyclic Ecological Systems with an Exceptional Species. - Thomas I. Stiadle; Alvin Bayliss; Vladimir A. Volpert (Appl. Math. Comput., 2023)

Order and Disorder in a Cyclically Competitive Ecological Community. - Thomas I. Stiadle; Alvin Bayliss; Vladimir A. Volpert (SIAM J. Appl. Dyn. Syst., 2023)

Competing alliances in a four-species cyclic ecosystem. - Zihao Wang; Alvin Bayliss; Vladimir A. Volpert (Appl. Math. Comput., 2024)