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Operadic Modeling of Dynamical Systems: Mathematics and Computation [PDF]

open access: greenACT, 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
openalex   +3 more sources

Dynamic Mathematical Models’ System and Synchronization [PDF]

open access: goldMathematical Problems in Engineering, 2021
We created the equilibrium, which includes sickness outcomes, health and risk behaviors, environmental factors, and health-related assets and delivery systems, and it should be incorporated in system Dyc (dynamic) modelling of chronic disease prevention.
Malik Bader Alazzam   +2 more
openalex   +2 more sources

Operadic Modeling of Dynamical Systems: Mathematics and Computation [PDF]

open access: diamondElectronic Proceedings in Theoretical Computer Science, 2022
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. Building on recent work in applied category theory, we show how deterministic dynamical systems, discrete and ...
Sophie Libkind   +3 more
openalex   +3 more sources

Mathematical Modeling of Control Dynamical Systems

open access: green, 2007
This paper has been withdrawn by the author due to a crucial mistakes.
Saif Ullah
openalex   +4 more sources

Advances in Applied Mathematics: Dynamical Systems

open access: bronzeRockefeller Series in Science and Technology
We 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 ...

openalex   +2 more sources

Rigorous data‐driven computation of spectral properties of Koopman operators for dynamical systems [PDF]

open access: yesCommunications 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]

open access: yesEuropean 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
semanticscholar   +1 more source

Double Categories of Open Dynamical Systems (Extended Abstract) [PDF]

open access: yesACT, 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

open access: yesMathematical 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

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