Chaotic dynamics applied to biological information processing:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin
Akad.-Verl.
1987
|
| Series: | Mathematical ecology
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | 120 S. |
| ISBN: | 3055003772 |
Staff View
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Record in the Search Index
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| adam_text | Contents
1 . Introduction 9
2. Symmetry and symmetry breaking. Information generation 21
2.1. Non periodic attractors 26
2.2. Non Integer degrees of freedom: Fractal trajectories 27
3. Collisions versus iterations: A basic isomorphism between physical
and symbolic dynamics 30
3.1. Molecular chaos 30
3.2. A one dimensional map in the (unit) interval 32
4. Lyapunov exponents of chaotic flows In multidimensional state space.
The non uniform factor NUF 38
4.1. The concept of the local divergence rate 38
4.2. Average value and variance of the local divergence rate 38
4.3. An example 41
5. A typical three dimensional strange attractor. The Lorenz model 43
5.1. The rate of Information production by the Lorenz attractor
(tf « 10, b 8/3, r ¦ 28) 49
6. Parameters characterizing the average behaviour of chaotic strange
attractors (dimensions, entropies, and Lyapunov exponents) 52
6.1. The concept of information dimension 53
6.2. The concept of characteristic Lyapunov exponents and
their relation to information dimension 55
6.3. The concept of metric (Kolmogorov Sinai) entropy and its
relation to information dimension 58
7. The electrical activity of the brain should it be chaotic? 64
7.1. Experimental data from EEG research 65
7.2. The model 67
7.3. Deriving the existence of an attractor and its fractal
dimensionality from one dimensional time series 71
7.4. What is a cognitive channel? 73
7.5. An example of a fractal Basin boundary (separatrix) 77
8. The problem of computational complexity 79
9. Application to cognitive processes: The magic number seven
plus minus two revisited 82
9.1. Review of experimental results 82
9.2. Information processing (generation dissipation) and memory
of a chaotic processor 85
9.3. Specific examples and relevance of the model 91
9.4. Outlook 95
10. Intermittency In perception and communication processes 96
10.1. The break down of the law of large numbers in pattern
recognition and random walks 97
11. Thermodynamics of (fractal) curves and patterns in the plane 105
12. Concluding remarks 109
12.1. The syndrome of self reference 109
12.2. The origin of conflict in communicating hierarchical systems 112
12.3. Global (analogous, synchronous) versus local (digital,
sequential) pattern recognition 115
Appendix: A physical system composed of N hard spheres 117
References 118
|
| any_adam_object | 1 |
| author | Nicolis, John S. 1934-2012 |
| author_GND | (DE-588)1076652123 |
| author_facet | Nicolis, John S. 1934-2012 |
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| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 574 - [Unassigned] |
| dewey-raw | 574.5 |
| dewey-search | 574.5 |
| dewey-sort | 3574.5 |
| dewey-tens | 570 - Biology |
| discipline | Physik Biologie Mathematik |
| format | Book |
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| id | DE-604.BV000799046 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T15:19:38Z |
| institution | BVB |
| isbn | 3055003772 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-000500609 |
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| physical | 120 S. |
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| publishDate | 1987 |
| publishDateSearch | 1987 |
| publishDateSort | 1987 |
| publisher | Akad.-Verl. |
| record_format | marc |
| series2 | Mathematical ecology |
| spelling | Nicolis, John S. 1934-2012 Verfasser (DE-588)1076652123 aut Chaotic dynamics applied to biological information processing by John S. Nicolis Berlin Akad.-Verl. 1987 120 S. txt rdacontent n rdamedia nc rdacarrier Mathematical ecology Mathematik Mathematisches Modell Ökologie Chaotic behavior in systems Mathematical models Ecology Ecology Mathematical models Information Theory Mathematics Models, Biological Chaostheorie (DE-588)4009754-7 gnd rswk-swf Informationsverarbeitung (DE-588)4161678-9 gnd rswk-swf Chaos (DE-588)4191419-3 gnd rswk-swf Dynamisches System (DE-588)4013396-5 gnd rswk-swf Chaotisches System (DE-588)4316104-2 gnd rswk-swf Biologie (DE-588)4006851-1 gnd rswk-swf Chaotisches System (DE-588)4316104-2 s Dynamisches System (DE-588)4013396-5 s Informationsverarbeitung (DE-588)4161678-9 s Biologie (DE-588)4006851-1 s DE-604 Chaos (DE-588)4191419-3 s Chaostheorie (DE-588)4009754-7 s HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000500609&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Nicolis, John S. 1934-2012 Chaotic dynamics applied to biological information processing Mathematik Mathematisches Modell Ökologie Chaotic behavior in systems Mathematical models Ecology Ecology Mathematical models Information Theory Mathematics Models, Biological Chaostheorie (DE-588)4009754-7 gnd Informationsverarbeitung (DE-588)4161678-9 gnd Chaos (DE-588)4191419-3 gnd Dynamisches System (DE-588)4013396-5 gnd Chaotisches System (DE-588)4316104-2 gnd Biologie (DE-588)4006851-1 gnd |
| subject_GND | (DE-588)4009754-7 (DE-588)4161678-9 (DE-588)4191419-3 (DE-588)4013396-5 (DE-588)4316104-2 (DE-588)4006851-1 |
| title | Chaotic dynamics applied to biological information processing |
| title_auth | Chaotic dynamics applied to biological information processing |
| title_exact_search | Chaotic dynamics applied to biological information processing |
| title_full | Chaotic dynamics applied to biological information processing by John S. Nicolis |
| title_fullStr | Chaotic dynamics applied to biological information processing by John S. Nicolis |
| title_full_unstemmed | Chaotic dynamics applied to biological information processing by John S. Nicolis |
| title_short | Chaotic dynamics applied to biological information processing |
| title_sort | chaotic dynamics applied to biological information processing |
| topic | Mathematik Mathematisches Modell Ökologie Chaotic behavior in systems Mathematical models Ecology Ecology Mathematical models Information Theory Mathematics Models, Biological Chaostheorie (DE-588)4009754-7 gnd Informationsverarbeitung (DE-588)4161678-9 gnd Chaos (DE-588)4191419-3 gnd Dynamisches System (DE-588)4013396-5 gnd Chaotisches System (DE-588)4316104-2 gnd Biologie (DE-588)4006851-1 gnd |
| topic_facet | Mathematik Mathematisches Modell Ökologie Chaotic behavior in systems Mathematical models Ecology Ecology Mathematical models Information Theory Mathematics Models, Biological Chaostheorie Informationsverarbeitung Chaos Dynamisches System Chaotisches System Biologie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000500609&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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