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What is Dynamical System

Chapter 4
Handbook of Research on Maximizing Cognitive Learning through Knowledge Visualization
A dynamical system is a way of defining a sequence of numbers, points, functions, or curves through a fixed deterministic rule. It is widely used in mathematical modelling.
Published in Chapter:
Visualization and Mathematical Thinking
Hervé Lehning (AC-HL, France)
Copyright: © 2015 |Pages: 10
DOI: 10.4018/978-1-4666-8142-2.ch004
Abstract
Drawing is not proving. For a long time, this argument has been used to avoid the use of visualization in mathematics. Nevertheless, a number of proofs, concepts, and ideas are easier to understand with the help of a small drawing. In this chapter, the author shows that visualization in mathematics is helpful not only to illustrate but also to create ideas, and this at all levels.
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Chapter 3
An Artificial Immune Dynamical System for Optimization
A means of describing how one state develops into another state over the course of time. A dynamical system is a smooth action of the reals or the integers on another object.
Published in Chapter: An Artificial Immune Dynamical System for Optimization; From: Handbook of Research on Artificial Immune Systems and Natural Computing: Applying Complex Adaptive Technologies
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Chapter 2
Systems and Control Theory for Medical Systems Biology
An assembly of components or sequence of reactions whose performance can only be completely described by a study of its behaviour over time.
Published in Chapter: Systems and Control Theory for Medical Systems Biology; From: Handbook of Research on Systems Biology Applications in Medicine
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Chapter 3
Visualisation of Mathematical Thinking
A dynamical system is a way of defining a sequence of numbers, points, functions, or curves through a fixed deterministic rule. It is widely used in mathematical modelling.
Published in Chapter: Visualisation of Mathematical Thinking; From: Describing Nature Through Visual Data
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Chapter 27
The Role of the Paper Packaging Industry in the Circular Economy: The Causal Relationship Analysis via Neutrosophic Cognitive Maps
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Chapter 7
Emotions, Diffusive Emotional Control and the Motivational Problem for Autonomous Cognitive Systems
A dynamical system is a set of variables together with a set of rules determining the time-development of theses variables. The time might be either discrete, viz 1,2,3,... or continuous. In the latter case the dynamical system is governed by a set of differential equations. Dynamical system theory is at the heart of all natural laws, famous examples being Newton’s law of classical mechanics, the Schrödinger equation of quantum mechanics and Einstein’s geometric theory of gravity, general relativity.
Published in Chapter: Emotions, Diffusive Emotional Control and the Motivational Problem for Autonomous Cognitive Systems; From: Handbook of Research on Synthetic Emotions and Sociable Robotics: New Applications in Affective Computing and Artificial Intelligence
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Chapter 31
Discrete Networks as a Suitable Approach for the Analysis of Genetic Regulation
A set of equations that describe the change of some variables over time.
Published in Chapter: Discrete Networks as a Suitable Approach for the Analysis of Genetic Regulation; From: Handbook of Research on Systems Biology Applications in Medicine
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