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Keyword search result for in Journal: SIAM Journal on Applied Dynamical Systems -- New results matching your keyword search query (updated daily).

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Solitary Waves in a Stochastic Parametrically Forced Nonlinear Schrödinger Equation

Published: October 24, 2025 07:00

SIAM Journal on Applied Dynamical Systems, Volume 24, Issue 4, Page 3012-3044, December 2025. Abstract.We study a parametrically forced nonlinear Schrödinger (PFNLS) equation, driven by multiplicative translation-invariant noise. We show that a solitary…

Savanna Dynamics with Grazing, Browsing, and Migration Effects

Published: October 23, 2025 07:00

SIAM Journal on Applied Dynamical Systems, Volume 24, Issue 4, Page 2950-2976, December 2025. Abstract.This article explores the dynamics of savanna ecosystems with grazing, browsing, and migration effects. Covering over one-eighth of the Earth’s land…

Spike-adding Mechanisms in a Three-timescale System: Insights from the Fitzhugh–Nagumo Model with Periodic Forcing

Published: October 23, 2025 07:00

SIAM Journal on Applied Dynamical Systems, Volume 24, Issue 4, Page 2977-3011, December 2025. Abstract.In this work, we investigate the spike-adding mechanism in a class of three-dimensional fast-slow systems with three distinct timescales, inspired by…

Resilience and Bifurcations in Viral Infection Models with Drug Resistance and Time-Varying Dynamics

Published: October 22, 2025 07:00

SIAM Journal on Applied Dynamical Systems, Volume 24, Issue 4, Page 2916-2949, December 2025. Abstract.Pharmacodynamics is a key factor in the efficacy of drug therapy for viral infections, and drug resistance presents a significant obstacle to treatment…

A Gradient-Based Optimization Method Using the Koopman Operator

Published: October 17, 2025 07:00

SIAM Journal on Applied Dynamical Systems, Volume 24, Issue 4, Page 2886-2915, December 2025. Abstract.In this paper, we propose a novel approach to solving an optimization problem by reformulating it into a dynamical system, followed by the adaptive…

Pattern Localization in the Swift–Hohenberg Equation via Slowly Varying Spatial Heterogeneity

Published: October 16, 2025 07:00

SIAM Journal on Applied Dynamical Systems, Volume 24, Issue 4, Page 2804-2847, December 2025. Abstract.Theories of localized pattern formation are important to understand a broad range of natural patterns, but they are less well understood than more…

Turing Instability of the Periodic Solutions for the Reaction-Diffusion System Involving Nonlocal Delays

Published: October 15, 2025 07:00

SIAM Journal on Applied Dynamical Systems, Volume 24, Issue 4, Page 2767-2803, December 2025. Abstract.In this paper, we mainly consider Turing instability of the Hopf bifurcating periodic solutions for the general 2-component reaction-diffusion system…

Boundary Equilibrium Bifurcations Creating Multiple Limit Cycles in Impacting Hybrid Systems

Published: October 13, 2025 07:00

SIAM Journal on Applied Dynamical Systems, Volume 24, Issue 4, Page 2734-2766, December 2025. Abstract.A boundary equilibrium bifurcation (BEB) in a hybrid dynamical system occurs when a regular equilibrium collides with a switching surface in phase…

Tagged Barcodes for the Topological Analysis of Gradient-Like Vector Fields

Published: October 13, 2025 07:00

SIAM Journal on Applied Dynamical Systems, Volume 24, Issue 4, Page 2685-2733, December 2025. Abstract.Intending to introduce a method for the topological analysis of fields, we present a pipeline that takes as an input a weighted and based chain complex,…