Results 11 to 20 of about 2,468,103 (209)
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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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
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A dynamical system perspective on mathematical programming [PDF]
Dynamical Systems, 2017 We explore how to build a vector field from the various functions involved in a given mathematical program, and show that locally-stable equilibria of the underlying dynamical system are precisely the local solutions of the optimization problem. The general situation in which explicit inequality constraints are present is especially interesting as the ...
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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
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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On Mathematics of Bubbles in Dynamical Systems
, 2021 A new concept called biased derivative is proposed. It has a potential to better understand and model some aspects of dynamical systems associated with creating bubbles.
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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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Optimal Mathematical Models for Nonlinear Dynamical Systems [PDF]
Mathematical and Computer Modelling of Dynamical Systems, 2003 We propose a new method for the optimal causal representation of nonlinear systems. The proposed approach is based on the best constrained approximation of mappings in probability spaces by operators constructed from matrices of special form so that the approximant preserves the causality property.
Torokhti, A., Howlett, P., Pearce, C.
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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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