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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).
Posts: 11
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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…
Quantifying Topological Features and Irregularities in Zebrafish Patterns Using the Sweeping-Plane Filtration
Published: August 7, 2026 07:00
SIAM Journal on Applied Dynamical Systems, Volume 25, Issue 3, Page 1981-2021, September 2026. Abstract. Complex patterns emerge across a wide range of biological systems. While patterns often exhibit remarkable robustness, variation and irregularity…
On Structural Contraction of Biological Interaction Networks
Published: August 7, 2026 07:00
SIAM Journal on Applied Dynamical Systems, Volume 25, Issue 3, Page 1939-1980, September 2026. Abstract.Biological networks are customarily described as structurally robust. This means that they often function extremely well under large forms of…
Simulating Stochastic Population Dynamics: The Linear Noise Approximation Can Capture Nonlinear Phenomena
Published: August 4, 2026 07:00
SIAM Journal on Applied Dynamical Systems, Volume 25, Issue 3, Page 1911-1938, September 2026. Abstract.Population dynamics in fields such as molecular biology, epidemiology, and ecology exhibit highly stochastic and nonlinear behavior. In gene regulatory…
Dynamics, Data, and Reconstruction
Published: July 29, 2026 07:00
SIAM Journal on Applied Dynamical Systems, Volume 25, Issue 3, Page 1868-1910, September 2026. Abstract.The goal of data-driven learning of dynamical systems is to interpret time series as a continuous observation of an underlying dynamical system. This…
A Mathematical Mechanism of Reservoir Computing for Dynamical Systems
Published: July 27, 2026 07:00
SIAM Journal on Applied Dynamical Systems, Volume 25, Issue 3, Page 1834-1867, September 2026. Abstract.Reservoir computing (RC) is a machine learning framework based on recurrent neural networks, which can naturally be viewed as dynamical systems. We…
Calculating Bifurcation Diagrams for Rational Differential Equation Systems Using the Resultant
Published: July 24, 2026 07:00
SIAM Journal on Applied Dynamical Systems, Volume 25, Issue 3, Page 1808-1833, September 2026. Abstract.The resultant is a well-known tool in number theory and algebraic geometry used to find simultaneous zeros of two polynomials. Here we show how to use…
Proving Symmetry of Localized Solutions and Application to Dihedral Patterns in the Planar Swift–Hohenberg PDE
Published: July 22, 2026 07:00
SIAM Journal on Applied Dynamical Systems, Volume 25, Issue 3, Page 1759-1807, September 2026. Abstract.In this article, we extend the framework developed in to allow for rigorous proofs of existence of smooth, localized solutions in semi-linear partial…
Global Analysis of Regulatory Network Dynamics: Equilibria and Saddle-Node Bifurcations
Published: July 22, 2026 07:00
SIAM Journal on Applied Dynamical Systems, Volume 25, Issue 3, Page 1726-1758, September 2026. Abstract.In this paper we describe a combined combinatorial/numerical approach to studying equilibria and bifurcations in network models arising in Systems…
Global Continuation of Stable Periodic Orbits in Systems of Competing Predators
Published: July 10, 2026 07:00
SIAM Journal on Applied Dynamical Systems, Volume 25, Issue 3, Page 1697-1725, September 2026. Abstract.We develop a continuation technique to obtain global families of stable periodic orbits, delimited by transcritical bifurcations at both ends. We…