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Stability of Intrinsic Localized Modes on the Lattice with Competing Power Nonlinearities

Published: September 10, 2026 07:00

SIAM Journal on Applied Dynamical Systems, Volume 25, Issue 3, Page 2288-2317, September 2026. Abstract.We study the discrete nonlinear Schrödinger equation with competing powers [math] satisfying [math]. The physically relevant cases are given by [math],…

On the Geographic Spread of Chikungunya Between Brazil and Florida: A Multipatch Model with Time Delay

Published: September 9, 2026 07:00

SIAM Journal on Applied Dynamical Systems, Volume 25, Issue 3, Page 2241-2287, September 2026. Abstract.Chikungunya (CHIK) is a viral disease transmitted to humans through the bites of Aedes mosquitoes infected with the chikungunya virus (CHIKV). CHIKV…

Isochronal Phase Reduction and Speed Correction of a Pulse in a Stochastic Kinematic Model

Published: September 8, 2026 07:00

SIAM Journal on Applied Dynamical Systems, Volume 25, Issue 3, Page 2200-2240, September 2026. Abstract.We develop a method for computing the stochastic wave speed of pulse solutions in kinematic equations subject to small stochastic forcing based on the…

Transverse Instability of Small Periodic Waves for a Two-Dimensional Dullin–Gottwald–Holm Equation

Published: September 3, 2026 07:00

SIAM Journal on Applied Dynamical Systems, Volume 25, Issue 3, Page 2117-2140, September 2026. Abstract.In this work, we focus on a two-dimensional generalization of the Dullin–Gottwald–Holm equation with a weakly transverse effect for the horizontal…

Phase Transitions for Interacting Particle Systems on Random Graphs

Published: September 3, 2026 07:00

SIAM Journal on Applied Dynamical Systems, Volume 25, Issue 3, Page 2141-2168, September 2026. Abstract.In this paper, we study weakly interacting diffusion processes on random graphs. Our main focus is on the properties of the mean-field limit and, in…

Dynamics on Accelerated Growth Tree Networks: Random Walks and Consensus Problem

Published: September 3, 2026 07:00

SIAM Journal on Applied Dynamical Systems, Volume 25, Issue 3, Page 2169-2199, September 2026. Abstract.It is of great interest to create theoretical models that certainly show some structural properties observed on real-world networks and to study…

Pattern Formation on a Periodic Rectangle and the Green’s Function Potential

Published: August 28, 2026 07:00

SIAM Journal on Applied Dynamical Systems, Volume 25, Issue 3, Page 2084-2116, September 2026. Abstract.Many reaction-diffusion (RD) systems exhibit spot patterns. When the domain is a periodic rectangle, many such patterns can be constructed explicitly…

Koopman for Stochastic Dynamics: Error Bounds for Kernel Extended Dynamic Mode Decomposition (kernel EDMD)

Published: August 25, 2026 07:00

SIAM Journal on Applied Dynamical Systems, Volume 25, Issue 3, Page 2044-2083, September 2026. Abstract.We prove [math]-error bounds for kernel extended dynamic mode decomposition (kEDMD) approximants of the Koopman operator for stochastic dynamical…

Reversible Switching due to Attraction and Repulsion: Clusters, Gaps, Sorting, and Mixing

Published: August 20, 2026 07:00

SIAM Journal on Applied Dynamical Systems, Volume 25, Issue 3, Page 2022-2043, September 2026. Abstract.We describe a phase transition in continuum limits of interacting particle systems that exhibits a vertical bifurcation diagram. The transition is…