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Dynamical Systems Theory [PDF]

open access: greenThe 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.
Oscar Castillo, Patricia Melín
  +9 more sources

Dynamical systems theory of cellular reprogramming

open access: yesPhysical 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
doaj   +3 more sources

Dynamical systems theory in physiology. [PDF]

open access: yesJ 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

Vector dissipativity theory for discrete-time large-scale nonlinear dynamical systems [PDF]

open access: goldAdvances in Difference Equations, 2004
In analyzing large-scale systems, it is often desirable to treat the overall system as a collection of interconnected subsystems. Solution properties of the large-scale system are then deduced from the solution properties of the individual subsystems ...
Chellaboina Vijaysekhar   +3 more
doaj   +3 more sources

Novikov-Morse theory for dynamical systems [PDF]

open access: greenCalculus of Variations and Partial Differential Equations, 2003
63 ...
Heng Fan, Jürgen Jost
openalex   +5 more sources

An enactive and dynamical systems theory account of dyadic relationships. [PDF]

open access: yesFront Psychol, 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.
Kyselo M, Tschacher W.
europepmc   +2 more sources

Dynamical systems game theory and dynamics of games

open access: bronzePhysica D: Nonlinear Phenomena, 2000
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Eizo Akiyama, Kunihiko Kaneko
openalex   +3 more sources

A Case Study of Combined Application of Smart Materials in a ‎Thermal Energy Harvester with Vibrating Action [PDF]

open access: yesJournal 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
doaj   +1 more source

Category of Discrete Dynamical System

open access: yesCauchy: 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
doaj   +1 more source

Dynamical systems theory for music dynamics [PDF]

open access: yesChaos: 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   +4 more sources

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