Results 71 to 80 of about 1,865,782 (225)
Entropy, 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
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On Conley's Fundamental Theorem of Dynamical Systems [PDF]
arXiv, 2000 In this paper, we generalize Conley's fundamental theorem of dynamical systems in Conley index theory. We also conclude the existence of regular index filtration for every Morse decomposition.
arxiv
Logical entropy of dynamical systems
Advances 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
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Entropy, 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
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Novikov-Morse theory for dynamical systems [PDF]
arXiv, 2000 The present paper contains an interpretation and generalization of Novikov's theory of Morse type inequalities for 1-forms in terms of Conley's theory for dynamical systems.
arxiv
Dynamic Equations, Control Problems on Time Scales, and Chaotic Systems
Chaos 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
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Understanding and Predicting Nonlinear Turbulent Dynamical Systems with Information Theory
Atmosphere, 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
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Behavior as Physiology: How Dynamical-Systems Theory Could Advance Psychiatry. [PDF]
Am J Psychiatry, 2021 Salvi JD, Rauch SL, Baker JT.
europepmc +1 more source
Newtonian dynamical systems admitting normal blow-up of points [PDF]
arXiv, 2000 Class of Newtonian dynamical systems admitting normal blow-up of points in Riemannian manifolds is considered. Geometric interpretation for weak normality condition, which arose earlier in the theory of dynamical systems admitting the normal shift of hypersurfaces, is found.
arxiv
A note on arithmetic topology and dynamical systems [PDF]
arXiv, 2002 We discuss analogies between the etale site of arithmetic schemes and the algebraic topology of dynamical systems. The emphasis is on Lefschetz numbers. We also discuss similarities between infinite primes in arithmetic and fixed points of dynamical systems.
arxiv