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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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Slow Invariant Manifolds of Fast-Slow Systems of ODEs with Physics-Informed Neural Networks

https://epubs.siam.org/doi/abs/10.1137/24M1656402?af=R&countTerms=true&publication=sjaday&searchCollection=jb&sortBy=EpubDate_desc&target=multi-search

Published: December 12, 2024 08:00

SIAM Journal on Applied Dynamical Systems, Volume 23, Issue 4, Page 3077-3122, December 2024. Abstract.We present a physics-informed neural network (PINN) approach using symbolic differentiation for the discovery of slow invariant manifolds (SIMs), for…

Data-Driven Model Reduction via Non-intrusive Optimization of Projection Operators and Reduced-Order Dynamics

https://epubs.siam.org/doi/abs/10.1137/24M1628414?af=R&countTerms=true&publication=sjaday&searchCollection=jb&sortBy=EpubDate_desc&target=multi-search

Published: December 11, 2024 08:00

SIAM Journal on Applied Dynamical Systems, Volume 23, Issue 4, Page 3052-3076, December 2024. Abstract.Computing reduced-order models using non-intrusive methods is particularly attractive for systems that are simulated using black-box solvers. However,…

Distributed Delay and Desynchronization in a Neural Mass Model

https://epubs.siam.org/doi/abs/10.1137/23M1618028?af=R&countTerms=true&publication=sjaday&searchCollection=jb&sortBy=EpubDate_desc&target=multi-search

Published: December 10, 2024 08:00

SIAM Journal on Applied Dynamical Systems, Volume 23, Issue 4, Page 3013-3051, December 2024. Abstract.Neural mass models offer a robust mathematical framework for studying the collective behavior of neural populations and their role in brain function and…

Continuation of Fixed Points and Bifurcations from ODE to Flow-Kick Disturbance Models

https://epubs.siam.org/doi/abs/10.1137/23M160428X?af=R&countTerms=true&publication=sjaday&searchCollection=jb&sortBy=EpubDate_desc&target=multi-search

Published: December 5, 2024 08:00

SIAM Journal on Applied Dynamical Systems, Volume 23, Issue 4, Page 2983-3012, December 2024. Abstract.Ecosystems are shaped by disturbances such as fires and harvests that occur on faster timescales than recovery processes like population growth.…

A Study of the Long-Term Behavior of Hybrid Systems with Symmetries via Reduction and the Frobenius–Perron Operator

https://epubs.siam.org/doi/abs/10.1137/23M1603777?af=R&countTerms=true&publication=sjaday&searchCollection=jb&sortBy=EpubDate_desc&target=multi-search

Published: December 4, 2024 08:00

SIAM Journal on Applied Dynamical Systems, Volume 23, Issue 4, Page 2899-2938, December 2024. Abstract.Hybrid dynamical systems are systems which undergo both continuous and discrete transitions. As typical in dynamical analysis, an essential goal is to…

Geometric Analysis of a Truncated Galerkin Discretization of Fast-Slow PDEs with Transcritical Singularities

https://epubs.siam.org/doi/abs/10.1137/23M1572702?af=R&countTerms=true&publication=sjaday&searchCollection=jb&sortBy=EpubDate_desc&target=multi-search

Published: November 26, 2024 08:00

SIAM Journal on Applied Dynamical Systems, Volume 23, Issue 4, Page 2853-2898, December 2024. Abstract.We consider a fast-slow PDE with reaction-diffusion dynamics in the fast variable and the slow variable driven by a differential operator on a bounded…

Almost Sure Averaging for Evolution Equations Driven by Fractional Brownian Motions

https://epubs.siam.org/doi/abs/10.1137/23M1554448?af=R&countTerms=true&publication=sjaday&searchCollection=jb&sortBy=EpubDate_desc&target=multi-search

Published: November 14, 2024 08:00

SIAM Journal on Applied Dynamical Systems, Volume 23, Issue 4, Page 2807-2852, December 2024. Abstract.We apply the averaging method to a coupled system consisting of two evolution equations which has a slow component driven by fractional Brownian motion…

Internal Noise Interference to Warnings of Tipping Points in Generic Multidimensional Dynamical Systems

https://epubs.siam.org/doi/abs/10.1137/24M1669104?af=R&countTerms=true&publication=sjaday&searchCollection=jb&sortBy=EpubDate_desc&target=multi-search

Published: November 11, 2024 08:00

SIAM Journal on Applied Dynamical Systems, Volume 23, Issue 4, Page 2793-2806, December 2024. Abstract.A deterministic dynamical system that slowly passes through a generic fold-type (saddle-node) bifurcation can be reduced to one-dimensional dynamics…