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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
      https://epubs.siam.org/doi/abs/10.1137/24M1646686?af=R&countTerms=true&publication=sjaday&searchCollection=jb&sortBy=EpubDate_desc&target=multi-search
      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
      https://epubs.siam.org/doi/abs/10.1137/25M1725693?af=R&countTerms=true&publication=sjaday&searchCollection=jb&sortBy=EpubDate_desc&target=multi-search
      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
      https://epubs.siam.org/doi/abs/10.1137/24M1706980?af=R&countTerms=true&publication=sjaday&searchCollection=jb&sortBy=EpubDate_desc&target=multi-search
      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
      https://epubs.siam.org/doi/abs/10.1137/25M1727151?af=R&countTerms=true&publication=sjaday&searchCollection=jb&sortBy=EpubDate_desc&target=multi-search
      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…
    
  
    
      Dynamical Processes on Metric Networks
      https://epubs.siam.org/doi/abs/10.1137/24M1628153?af=R&countTerms=true&publication=sjaday&searchCollection=jb&sortBy=EpubDate_desc&target=multi-search
      Published: October 17, 2025 07:00
      SIAM Journal on Applied Dynamical Systems, Volume 24, Issue 4, Page 2848-2885, December 2025.  Abstract.The structure of a network has a major effect on dynamical processes on that network. Many studies of the interplay between network structure and…
    
  
    
      A Gradient-Based Optimization Method Using the Koopman Operator
      https://epubs.siam.org/doi/abs/10.1137/23M1625986?af=R&countTerms=true&publication=sjaday&searchCollection=jb&sortBy=EpubDate_desc&target=multi-search
      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
      https://epubs.siam.org/doi/abs/10.1137/24M1695245?af=R&countTerms=true&publication=sjaday&searchCollection=jb&sortBy=EpubDate_desc&target=multi-search
      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
      https://epubs.siam.org/doi/abs/10.1137/24M1687893?af=R&countTerms=true&publication=sjaday&searchCollection=jb&sortBy=EpubDate_desc&target=multi-search
      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
      https://epubs.siam.org/doi/abs/10.1137/24M1716598?af=R&countTerms=true&publication=sjaday&searchCollection=jb&sortBy=EpubDate_desc&target=multi-search
      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
      https://epubs.siam.org/doi/abs/10.1137/24M1663533?af=R&countTerms=true&publication=sjaday&searchCollection=jb&sortBy=EpubDate_desc&target=multi-search
      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,…