Operadic Modeling of Dynamical Systems: Mathematics and Computation [PDF]
ACT, 2021 Dynamical systems are ubiquitous in science and engineering as models of phenomena that evolve over time. Although complex dynamical systems tend to have important modular structure, conventional modeling approaches suppress this structure.
Sophie Libkind +3 more
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Rigorous data‐driven computation of spectral properties of Koopman operators for dynamical systems [PDF]
Communications on Pure and Applied Mathematics, 2021 Koopman operators are infinite‐dimensional operators that globally linearize nonlinear dynamical systems, making their spectral information valuable for understanding dynamics.
Matthew J. Colbrook, Alex Townsend
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Resilience of dynamical systems [PDF]
European journal of applied mathematics, 2021 Stability is among the most important concepts in dynamical systems. Local stability is well-studied, whereas determining the ‘global stability’ of a nonlinear system is very challenging.
Hana Krakovská +2 more
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Double Categories of Open Dynamical Systems (Extended Abstract) [PDF]
ACT, 2020 A (closed) dynamical system is a notion of how things can be, together with a notion of how they may change given how they are. The idea and mathematics of closed dynamical systems has proven incredibly useful in those sciences that can isolate their ...
D. J. Myers
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Advances in Applied Mathematics: Dynamical Systems
Rockefeller Series in Science and TechnologyWe invite submissions of chapters for an upcoming open-access book entitled Advances in Applied Mathematics: Dynamical Systems. This book aims to highlight recent developments, methodologies, and applications within the field of dynamical systems ...
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Extremes and Recurrence in Dynamical Systems [PDF]
, 2016 This book provides a comprehensive introduction for the study of extreme events in the context of dynamical systems. The introduction provides a broad overview of the interdisciplinary research area of extreme events, underlining its relevance for ...
V. Lucarini +8 more
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Introduction to the application of dynamical systems theory in the study of the dynamics of cosmological models of dark energy [PDF]
, 2015 The theory of dynamical systems is a very complex subject that has produced several surprises in the recent past in connection with the theory of chaos and fractals. The application of the tools of dynamical systems in cosmological settings is less known,
Ricardo Garc'ia-Salcedo +4 more
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A Survey of Projection-Based Model Reduction Methods for Parametric Dynamical Systems
SIAM Review, 2015 United States. Air Force Office of Scientific Research (Computational Mathematics Grant FA9550-12-1-0420)
P. Benner, S. Gugercin, K. Willcox
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Gradient-Based Iterative Parameter Estimation Algorithms for Dynamical Systems from Observation Data
Mathematics, 2019 It is well-known that mathematical models are the basis for system analysis and controller design. This paper considers the parameter identification problems of stochastic systems by the controlled autoregressive model.
F. Ding +3 more
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Equicontinuous Delone Dynamical Systems [PDF]
Canadian Journal of Mathematics - Journal Canadien de Mathematiques, 2011 We characterize equicontinuous Delone dynamical systems as those coming from Delone sets with strongly almost periodic Dirac combs. Within the class of systems with finite local complexity, the only equicontinuous systems are then shown to be the ...
J. Kellendonk, D. Lenz
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