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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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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
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Phenotypic Plasticity and Cell Fate Decisions in Cancer: Insights from Dynamical Systems Theory. [PDF]
Cancers (Basel), 2017 Waddington’s epigenetic landscape, a famous metaphor in developmental biology, depicts how a stem cell progresses from an undifferentiated phenotype to a differentiated one. The concept of “landscape” in the context of dynamical systems theory represents
Jia D, Jolly MK, Kulkarni P, Levine H.
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Modern Koopman Theory for Dynamical Systems [PDF]
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 +3 more
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Dynamical systems theory for music dynamics
Chaos: An Interdisciplinary Journal of Nonlinear Science, 1994 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 {\it temporal dynamics} in music. (i) Phase space portraits are constructed from
Boon, Jean Pierre, Decroly, Olivier
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Editorial Comment on the Special Issue of “Information in Dynamical Systems and Complex Systems”
Entropy, 2014 This special issue collects contributions from the participants of the “Information in Dynamical Systems and Complex Systems” workshop, which cover a wide range of important problems and new approaches that lie in the intersection of information theory ...
Erik M. Bollt, Jie Sun
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Hopf algebras in dynamical systems theory [PDF]
International Journal of Geometric Methods in Modern Physics, 2006 The theory of exact and of approximate solutions for non-autonomous linear differential equations forms a wide field with strong ties to physics and applied problems.
Abraham R. +32 more
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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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Introduction to the Modern Theory of Dynamical Systems
Shock and Vibration, 1998 J.A. Zukas
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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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