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Dynamical systems theory [PDF]
The International Journal of Communication and Linguistic Studies, 2003 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.
J. C. Sprott
core +13 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 +3 more sources
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.
europepmc +2 more sources
Spectral theory of dynamical systems [PDF]
arXiv, 2020 This is a survey on spectral theory of dynamical systems.
Mariusz Lemańczyk, Adam Kanigowski
arxiv +4 more sources
Dynamical systems theory for music dynamics [PDF]
Chaos: An Interdisciplinary Journal of Nonlinear Science, 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.
openaire +5 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 +5 more sources
Dynamical systems theory of cellular reprogramming
Physical Review Research, 2022 In cellular reprogramming, almost all epigenetic memories of differentiated cells are erased by the overexpression of a few genes, resulting in regaining pluripotency, the potential for differentiation.
Yuuki Matsushita +2 more
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HOPF ALGEBRAS IN DYNAMICAL SYSTEMS THEORY [PDF]
International Journal of Geometric Methods in Modern Physics, 2007 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. This paper is meant as a stepping stone for an exploration of this long-established theme, through the tinted glasses of a (Hopf and Rota–Baxter) algebraic point of view.
José F. Cariñena +4 more
openaire +7 more sources
Dynamical Systems Theory in Psychology: Assistance for the Lay Reader is Required. [PDF]
Front Psychol, 2012 Dynamical Systems Theory (DST) has generated interest and excitement in psychological research, as demonstrated by the recent statement, “…the dynamical perspective has emerged as a primary paradigm for the investigation of psychological processes at ...
Gelfand LA, Engelhart S.
europepmc +2 more sources
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
doaj +4 more sources