UID:
almafu_9958114346802883
Format:
1 online resource (252 p.)
ISBN:
1-280-96602-5
,
9786610966028
,
0-08-047469-1
Content:
Traditionally, randomness and determinism have been viewed as being diametrically opposed, based on the idea that causality and determinism is complicated by "noise.? Although recent research has suggested that noise can have a productive role, it still views noise as a separate entity. This work suggests that this not need to be so. In an informal presentation, instead, the problem is traced to traditional assumptions regarding dynamical equations and their need for unique solutions. If this requirement is relaxed, the equations admit for instability and stochasticity evolving from the dynami
Note:
Description based upon print version of record.
,
Cover; Preface; Contents; Probability and Dynamics; A Dichotomy; Historical Perspective; Probabilities; Randomness; Singularities; Models and Reality; Singularities and Instability; Dynamics; Attractors; Liapunov Exponents; Limitations of the Classical Approach; Dynamical Instability; Lipschitz Conditions; Basic Concepts; Dissipation; Terminal Dynamics Limit Sets; Interpretation of Terminal Attractors; Unpredictability in Terminal Dynamics; Irreversibility of Terminal Dynamics; Probabilistic Structure; Self-Organization in Terminal Dynamics; Noise and Determinism; Experimental Determinations
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The Larger MetaphorNon-Equilibrium Singularities; Simple Harmonic Oscillator; A Physically Motivated Example; Uncertainty in Piecewise Deterministic Dynamics; Nondeterminism and Predictability; Controlling Nondeterministic Chaos; Implications; Classification of Nondeterministic Systems; Singularities in Biological Sciences; An Alternative Approach; Nonstationary Features of the Cardio- Pulmonary System; Tracheal Pressures; Lung Sounds; Heart Beat; Neural (Brain) Processes; Electroencephalograms and Seizures; Terminal Neurodynamics; Creativity and Neurodynamics; Collective Brain
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Stochastic Attractor as a Tool for GeneralizationCollective Brain Paradigm; Model of Collective Brain; Terminal Comments; Arm Motion; Protein Folding; Two General Contemporary Schemata; A Different View; Proteins from a Signal Analysis Perspective; Singularities of Protein Hydrophobicity; Compartment Models; Biological Complexity; Singularities in Social Science/Arts; Economic Time Series; Stock Market Indexes; Exchange Rates; Art (The Science of Art?); Examples; Psychology; Examples; Sociology; Examples; Conclusions; Glossary; Mathematical Appendix; Nondeterministic System with Singularities
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Recurrence Quantification Analysis (RQA)Recurrence Plots; Recurrence Quantification; Determining Parameters for Nonstationary Series; Choice of Embedding; Choice of Lag; Choice of Radius; Detecting Singularities; Maxline (Liapunov exponent); Real Signal; Results; Batch Reactions; Experiments; Results; Orthogonal Vectors; Some Observations; Bibliography; Books; Book Chapters, Proceedings; Journals; Index
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English
Additional Edition:
ISBN 0-444-51613-1
Language:
English
Keywords:
Electronic books
URL:
https://doi.org/10.1016/B978-0-444-51613-8.X5000-3
URL:
Volltext
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