Results 61 to 70 of about 518,180 (174)

Toric dynamical systems [PDF]

open access: yes, 2007
Toric dynamical systems are known as complex balancing mass action systems in the mathematical chemistry literature, where many of their remarkable properties have been established.
Craciun, Gheorghe   +3 more
core  

Theoretical Principles of Multiscale Spatiotemporal Control of Neuronal Networks: A Complex Systems Perspective

open access: yesFrontiers in Computational Neuroscience, 2018
Success in the fine control of the nervous system depends on a deeper understanding of how neural circuits control behavior. There is, however, a wide gap between the components of neural circuits and behavior.
Nima Dehghani, Nima Dehghani
doaj   +1 more source

Temporal Asymmetry, Entropic Irreversibility, and Finite-Time Thermodynamics: From Parmenides–Einstein Time-Reversal Symmetry to the Heraclitan Entropic Arrow of Time

open access: yesEntropy, 2012
In this paper, we combine the two universalisms of thermodynamics and dynamical systems theory to develop a dynamical system formalism for classical thermodynamics. Specifically, using a compartmental dynamical system energy flow model we develop a state-
Wassim M. Haddad
doaj   +1 more source

Logical entropy of dynamical systems

open access: yesAdvances in Difference Equations, 2018
The main purpose of the paper is to extend the results of Ellerman (Int. J. Semant. Comput. 7:121–145, 2013) to the case of dynamical systems. We define the logical entropy and conditional logical entropy of finite measurable partitions and derive the ...
Dagmar Markechová   +2 more
doaj   +1 more source

Understanding and Predicting Nonlinear Turbulent Dynamical Systems with Information Theory

open access: yesAtmosphere, 2019
Complex nonlinear turbulent dynamical systems are ubiquitous in many areas. Quantifying the model error and model uncertainty plays an important role in understanding and predicting complex dynamical systems.
Nan Chen, Xiao Hou, Qin Li, Yingda Li
doaj   +1 more source

Dynamic Equations, Control Problems on Time Scales, and Chaotic Systems

open access: yesChaos Theory and Applications, 2023
The unification of integral and differential calculus with the calculus of finite differences has been rendered possible by providing a formal structure to study hybrid discrete-continuous dynamical systems besides offering applications in diverse fields
Martin Bohner
doaj  

Entropy and Uncertainty

open access: yesEntropy, 2008
We give a survey of the basic statistical ideas underlying the definition of entropy in information theory and their connections with the entropy in the theory of dynamical systems and in statistical mechanics.
Derek W. Robinson
doaj   +1 more source

Interpretable predictions of chaotic dynamical systems using dynamical system deep learning

open access: yesScientific Reports
Making accurate predictions of chaotic dynamical systems is an essential but challenging task with many practical applications in various disciplines.
Mingyu Wang, Jianping Li
doaj   +1 more source

Controllability linear systems with many delays in control by the differential regulators

open access: yesЖурнал Белорусского государственного университета: Математика, информатика, 2019
In the theory of controllability dynamical systems in most cases the control is selected from the class of piecewise  continuous functions. But the choise of the control from other classes is interested.
Georgii P. Razmyslovich   +1 more
doaj  

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