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What is Attractor

Chapter 31
Handbook of Research on Systems Biology Applications in Medicine
A set of states of a dynamical system towards which the system approaches asymptotically. Region of the state space towards which all the trajectories of a set of initial states converge.
Published in Chapter:
Discrete Networks as a Suitable Approach for the Analysis of Genetic Regulation
Elizabeth Santiago-Cortés (Universidad Nacional Autónoma de México, Mexico)
Copyright: © 2009 |Pages: 11
DOI: 10.4018/978-1-60566-076-9.ch031
Abstract
Biological systems are composed of multiple interacting elements; in particular, genetic regulatory networks are formed by genes and their interactions mediated by transcription factors. The establishment of such networks is critical to guarantee the reliability of transcriptional performance in any organism. The study of genetic regulatory networks as dynamical systems is a helpful methodology to understand the transcriptional behavior of the genome. From a number of theoretical studies, it is known that networks present a complex dynamical behavior that includes stability, redundancy, homeostasis, and multistationarity. In this chapter we present some particular biological processes modeled as discrete networks to show that the theoretical properties of networks have a clear biological interpretation.
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Chapter 8
Chaotic Attractor in a Novel Time-Delayed System with a Saturation Function
In dynamical systems, it is a region of phase space, towards which neighboring trajectories asymptotically approach.
Published in Chapter: Chaotic Attractor in a Novel Time-Delayed System with a Saturation Function; From: Handbook of Research on Advanced Intelligent Control Engineering and Automation
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Chapter 25
Cellular Automata-Basics: Applications in Problem Solving
A fixed point or a set of data around which the system tries to evolve with time.
Published in Chapter: Cellular Automata-Basics: Applications in Problem Solving; From: Handbook of Research on Natural Computing for Optimization Problems
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Chapter 16
Five Insights for Change Managers in Second-Order Change. Organizations as Complex Systems
A state of behaviour towards which the system has a tendency to move or be drawn.
Published in Chapter: Five Insights for Change Managers in Second-Order Change. Organizations as Complex Systems; From: Handbook of Research on Chaos and Complexity Theory in the Social Sciences
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Chapter 10
Chaos Theory for Hydrologic Modeling and Forecasting: Progress and Challenges
A geometric object that characterizes the long-term behavior of a system in the phase space.
Published in Chapter: Chaos Theory for Hydrologic Modeling and Forecasting: Progress and Challenges; From: Handbook of Research on Hydroinformatics: Technologies, Theories and Applications
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Chapter 9
Information Technology for the Coordinated Control of Unmanned Aerial Vehicle Teams Based on the Scenario-Case Approach
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Chapter 76
Fractal Dimension of the EEG in Alzheimer's Disease
In dynamical systems, a set to which the system evolves after a long enough time, after transients have died out.
Published in Chapter: Fractal Dimension of the EEG in Alzheimer's Disease; From: Encyclopedia of Healthcare Information Systems
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Chapter 185
Nonlinear Techniques for Signals Characterization
A region in the phase space to which all trajectories converge after a transition time. It is the long term behaviour of a dynamical system.
Published in Chapter: Nonlinear Techniques for Signals Characterization; From: Encyclopedia of Artificial Intelligence
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Chapter 25
Finding Attractors on a Folding Energy Landscape
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Chapter 4
Spatial Dissipative Structures in Excitable Media (Plankton, Soil Bacteria. . . .)
A compact subset of the phase space of a dynamic system, all trajectories from a certain neighborhood of which tend to it at a time tending to infinity.
Published in Chapter: Spatial Dissipative Structures in Excitable Media (Plankton, Soil Bacteria. . . .); From: Attractors and Higher Dimensions in Population and Molecular Biology: Emerging Research and Opportunities
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Chapter 13
Visualization in Learning: Perception, Aesthetics, and Pragmatism
A general activity function that describes big and complex sets of dynamical particles. In cognitive science the activity of neural correlates can be identified by attractor systems. The attractor is defined as a smallest unit that cannot be decomposed. General activity of a whole brain may be described as a system of multiple attractors.
Published in Chapter: Visualization in Learning: Perception, Aesthetics, and Pragmatism; From: Handbook of Research on Maximizing Cognitive Learning through Knowledge Visualization
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