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SIAM Journal on Applied Dynamical Systems is a peer-reviewed journal published by SIAM, covering Nonlinear Dynamics and Pattern Formation, Quantum chaos and dynamical systems, stochastic dynamics and bifurcation. Over its lifetime it has published 1,556 papers, which have received 35,762 citations.
| Publisher | SIAM |
|---|---|
| Reference style | Numbered (SIAM) Numbered — [1], [2] in the text [1] A. Smith, B. Jones, and C. Lee, A representative article title, SIAM Journal on Applied Dynamical Systems 12 (2023) 45–58.
Formats any DOI in the closest standard style — SIAM Journal on Applied Dynamical Systems has no published style definition, so this is an approximation. No sign-up. |
| Publishes research in | Nonlinear Dynamics and Pattern Formation Quantum chaos and dynamical systems stochastic dynamics and bifurcation Neural dynamics and brain function Gene Regulatory Network Analysis |
| ISSN | 1536-0040 |
| Citation impact (2-yr) | 2.84 |
| h-index | 83 |
| i10-index | 760 |
| Top institutions publishing here | University of Bristol |
| Journal website | epubs.siam.org |
| You get | A submission-ready PDF and the editable LaTeX source — ready to submit. |
Citations each year’s papers have accumulated so far — the most recent years are still building up.
We develop a new method which extends dynamic mode decomposition (DMD) to incorporate the effect of control to extract low-order models from high-dimensional, complex systems. DMD finds spatial-temporal coherent modes, connects local-linear analysis to nonlinear operator theory, and provides an equation-free architecture which is compatible with compressive sensing. In actuated systems, DMD is incapable of…
The theory of the principal eigenvalue is developed for an elliptic eigenvalue problem associated with a linear parabolic cooperative system with some zero diffusion coefficients. Then the basic reproduction number and its computation formulae are established for reaction-diffusion epidemic models with compartmental structure. These theoretical results are applied to a spatial model of rabies to…
In this paper, we present a theoretical justification of the 0–1 test for chaos. In particular, we show that with probability one, the test yields 0 for periodic and quasiperiodic dynamics, and 1 for sufficiently chaotic dynamics. 1
We establish the convergence of a class of numerical algorithms, known as dynamic mode decomposition (DMD), for computation of the eigenvalues and eigenfunctions of the infinite-dimensional Koopman operator. The algorithms act on data coming from observables on a state space, arranged in Hankel-type matrices. The proofs utilize the assumption that the underlying dynamical system is…
We demonstrate that the integration of the recently developed dynamic mode decomposition (DMD) with a multiresolution analysis allows for a decomposition method capable of robustly separating complex systems into a hierarchy of multiresolution time-scale components. A one-level separation allows for background (low-rank) and foreground (sparse) separation of dynamical data, or robust principal component analysis. The…
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