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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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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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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
semanticscholar +1 more source
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
semanticscholar +1 more source
The simulation of dynamic systems using combined modelling
Mathematical Modelling and Analysis, 2000 The new approach to the problems of dynamic systems simulation is proposed. The analytical and imitation modelling of non‐linear complex dynamic systems which comprise simulation of continuous and discrete processes with constant and variable parameters,
R. Alzbutas, V. Janilionis
doaj +1 more source
Mathematical control of complex systems 2013 [PDF]
, 2014 Mathematical control of complex systems have already become an ideal research area for control engineers, mathematicians, computer scientists, and biologists to understand, manage, analyze, and interpret functional information/dynamical behaviours from ...
Dong, H +5 more
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Mathematical modeling of the vascular system [PDF]
Notices of the American Mathematical Society, 68:713-720, 2021, 2021 In this article, we review the mathematical modeling for the vascular system.
arxiv +1 more source
Dynamische Systeme (hybrid meeting) [PDF]
, 2021 This workshop continued a biannual series of workshops at Oberwolfach on dynamical systems that started with a meeting organized by Moser and Zehnder in 1981.
core +2 more sources
Extracting dynamical equations from experimental data is NP-hard [PDF]
, 2012 The behavior of any physical system is governed by its underlying dynamical equations. Much of physics is concerned with discovering these dynamical equations and understanding their consequences.
A. Mukherjea +9 more
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