Results 1 to 10 of about 534,870 (272)
Modern Koopman Theory for Dynamical Systems
SIAM Review, 2022 The field of dynamical systems is being transformed by the mathematical tools and algorithms emerging from modern computing and data science. First-principles derivations and asymptotic reductions are giving way to data-driven approaches that formulate models in operator theoretic or probabilistic frameworks.
Steven L Brunton +2 more
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Dynamical systems theory for music dynamics
Chaos, 1995 We show that, when music pieces are cast in the form of time series of pitch variations, the concepts and tools of dynamical systems theory can be applied to the analysis of temporal dynamics in music. (i) Phase space portraits are constructed from the time series wherefrom the dimensionality is evaluated as a measure of the global dynamics of each ...
Boon, Jean-Pierre, Decroly, O.
exaly +5 more sources
An enactive and dynamical systems theory account of dyadic relationships [PDF]
Frontiers in Psychology, 2014 Many social relationships are a locus of struggle and suffering, either at the individual or interactional level. In this paper we explore why this is the case and suggest a modeling approach for dyadic interactions and the well-being of the participants.
Miriam eKyselo, Wolfgang eTschacher
doaj +2 more sources
Dynamical systems theory in physiology. [PDF]
J Gen Physiol, 2011 Readers of the current issue will find something unfamiliar, perhaps tantalizing, perhaps unsettling. I am referring to the articles by Cha et al. (see [“Ionic mechanisms and Ca2+ dynamics…”][1] and [“Time-dependent changes in membrane excitability…”][2]).
Sherman A.
europepmc +4 more sources
Dynamical systems theory as an organizing principle for single-cell biology [PDF]
npj Systems Biology and ApplicationsThe emergence of single-cell transcriptomics has given us novel views of gene expression heterogeneity and cellular trajectories in development and disease at unprecedented resolution.
Samia Islam, Sudin Bhattacharya
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Stability theory for hybrid dynamical systems [PDF]
IEEE Transactions on Automatic Control, 1998 Dynamical systems of the hybrid type are viewed as dynamical systems on so-called time-spaces. A time-space is a metric space that is completely ordered, has a minimal element and its metric is additive. Such systems are embedded into dynamical systems defined on \(\mathbb{R}_+\) as the time axis. A stability theory is formulated.
A N Michel
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A Case Study of Combined Application of Smart Materials in a Thermal Energy Harvester with Vibrating Action [PDF]
Journal of Applied and Computational Mechanics, 2021 This paper demonstrates a case study of a combined application of smart materials in a thermal energy harvester with vibrating action. The conceptual design of the harvester is based on a Shape Memory Alloy wire attached to the free end of a ...
Rosen Mitrev +4 more
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Dynamical Systems Theory [PDF]
The International Journal of Communication and Linguistic Studies, 2019 This chapter introduces the basic concepts of dynamical systems theory, and several basic mathematical methods for controlling chaos. The main goal of this chapter is to provide an introduction to and a summary to the theory of dynamical systems with particular emphasis on fractal theory, chaos theory, and chaos control.
Oscar Castillo, Patricia Melin
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Category of Discrete Dynamical System
Cauchy: Jurnal Matematika Murni dan Aplikasi, 2023 A dynamical system is a method that can describe the process, behavior, and complexity of a system. In general, a dynamical system consists of a discrete dynamical system and a continuous dynamical system.
Ananda Ayu Permatasari +2 more
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Learning Theory for Dynamical Systems
SIAM Journal on Applied Dynamical Systems, 2023 The task of modelling and forecasting a dynamical system is one of the oldest problems, and it remains challenging. Broadly, this task has two subtasks - extracting the full dynamical information from a partial observation; and then explicitly learning the dynamics from this information.
Tyrus Berry, Suddhasattwa Das
openaire +2 more sources