SIAM has published 22 books so far in 2024, spanning several areas of applied mathematics. Here, we briefly highlight four of these books that are significantly relevant to dynamical systems.
Data-Driven Methods for Dynamic Systems, by Jason Bramburger, explores how modern computational tools can be used to complement, rather than replace, traditional pencil-and-paper dynamical systems analysis techniques to provide a more complete understanding of dynamic data. The book provides an introduction to data-driven methods such as neural networks, sparse regression, dynamic mode decomposition, and semidefinite programming.
Bramburger, an Assistant Professor of Mathematics at Concordia University, is a SIAM Dynamical Systems Activity Group member.
Uncertainty Quantification: Theory, Implementation, and Applications, by Ralph C. Smith, is a comprehensive treatment of methods to quantify uncertainties of predictions from simulation models across a range of science and engineering applications. The second edition includes new chapters on random field representations, observation models, parameter identifiability and influence, active subspace analysis, and statistical surrogate models, as well as additional applications such as pharmacology models, digital twins, virtual populations, radiation detection in an urban environment, and a wetland methane emission model.
Smith, a Distinguished University Professor of Mathematics at North Carolina State University, is a Fellow of SIAM.
Set-Valued, Convex, and Nonsmooth Analysis in Dynamics and Control: An Introduction, by Rafal Goebel, introduces modern mathematical analysis tools and their applications to dynamical and control systems. The book covers both continuous-time and discrete-time multivalued dynamics modeled by differential and difference inclusions.
Goebel is a Professor of Mathematics and Statistics at Loyola University Chicago.
Design of Delay-Based Controllers for Linear Time-Invariant Systems, by Adrian Ramírez, Rifat Sipahi, Sabine Mondié, Rubén Garrido, provides the mathematical foundations needed for designing practical controllers with anticipation capabilities, reduced noise sensitivity, and fast response. The book contains rigorous analysis, computational algorithms, and experiments using real-world control applications to illustrate the benefits of incorporating intentional time delays in control loops.
Ramírez is a Professor of Control and Dynamical Systems at IPICYT, Sipahi is a Professor of Mechanical and Industrial Engineering at Northeastern University, and both Mondié and Garrido are Professors of Automatic Control at CINVESTAV-IPN.