The nonlinear universe: chaos, emergence, life
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| Main Author: | |
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| Format: | Book |
| Language: | English |
| Published: |
Berlin [u.a.]
Springer Berlin
2007
|
| Series: | The Frontiers Collection
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XIV, 364 S. Ill., graph. Darst. |
| ISBN: | 9783540341529 3540341528 |
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MARC
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| 100 | 1 | |a Scott, Alwyn |d 1931-2007 |e Verfasser |0 (DE-588)124032400 |4 aut | |
| 245 | 1 | 0 | |a The nonlinear universe |b chaos, emergence, life |c Alwyn C. Scott |
| 264 | 1 | |a Berlin [u.a.] |b Springer Berlin |c 2007 | |
| 300 | |a XIV, 364 S. |b Ill., graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 0 | |a The Frontiers Collection | |
| 650 | 4 | |a Chaotic behavior in systems | |
| 650 | 4 | |a Nonlinear theories |x Forecasting | |
| 650 | 4 | |a Research |x Forecasting | |
| 650 | 4 | |a Twenty-first century | |
| 650 | 0 | 7 | |a Nichtlineare Theorie |0 (DE-588)4251279-7 |2 gnd |9 rswk-swf |
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Record in the Search Index
| _version_ | 1804137174285680640 |
|---|---|
| adam_text | Contents
1
Introduction
.............................................. 1
1.1
What Is Nonlinear Science?
.............................. 4
1.2
An Explosion of Activity
................................ 9
1.3
Causes of the Revolution
................................ 13
2
Chaos
.................................................... 19
2.1
The Three-Body Problem
............................... 20
2.2
Poincaré s
Instructive Mistake
............................ 21
2.3
The
Lorenz Attractor................................... 23
2.4
Other Irregular Curves
.................................. 25
2.5
The
KAM
Theorem
..................................... 30
2.6
More Early Discoveries of Low-Dimensional Chaos
.......... 34
2.7
Is There Chaos in the Solar System?
...................... 36
3 Solitons................................................... 43
3.1
Russell s Solitary Waves
................................. 43
3.2
The Inverse Scattering Method
........................... 46
3.3
The Nonlinear
Schrödinger
Equation
...................... 50
3.4
The Sine-Gordon Equation
.............................. 51
3.5
Nonlinear Lattices
...................................... 56
3.6
Some General Comments
................................ 58
4
Nerve Pulses and Reaction-Diffusion Systems
............. 63
4.1
Nerve-Pulse Velocity
.................................... 63
4.2
Simple Nerve Models
................................... 69
4.3
Reaction Diffusion in Higher Dimensions
.................. 72
5
The Unity of Nonlinear Science
........................... 79
5.1
The Provinces of Nonlinearity
............................ 79
5.1.1 Solitons
and Reaction Diffusion
.................... 80
5.1.2
The
KAM
Theorem
.............................. 83
5.1.3
Chaos
........................................... 84
5.1.4
Reaction Diffusion and Chaos
...................... 85
5.2
Metatheories of Nonlinear Science
........................ 86
5.2,1
Cybernetics (C)
.................................. 86
XII Contents
5.2.2
Mathematical Biology (MB)
....................... 88
5.2.3
General Systems Theory (GST)
.................... 93
5.2.4
Nonequilibrium Statistical Mechanics (NSM)
......... 94
5.2.5
Catastrophe Theory (CT)
......................... 95
5.2.6
Synergetics (S)
................................... 96
5.2.7
Complex Adaptive Systems (CAS)
.................. 97
5.3
Interrelations Among the Metatheories
.................... 98
6
Physical Applications of Nonlinear Theory
................101
6.1
Theories of Matter
......................................101
6.1.1
Mie s Nonlinear
Electromagnetism
..................102
6.1.2 De
Brogue s Guiding Waves and the Double Solution
. 106
6.1.3
Skyrmions
.......................................107
6.1.4
Point vs. Extended Particles
.......................108
6.2
Quantum Theory
.......................................110
6.2.1
Quantum Probabilities
............................
Ill
6.2.2 Schrödinger s
Cat
................................112
6.2.3
The EPR Paradox
................................113
6.2.4
Nonlocality and Quantum Entanglement
............116
6.2.5
Bell s Inequality
..................................117
6.2.6
Joint Measurability
...............................119
6.2.7
Many Worlds?
...................................120
6.2.8
Nonlinear Quantum Mechanics?
....................121
6.3
Quantum Energy Localization and Chaos
..................122
6.3.1
Local Modes in Molecules
.........................122
6.3.2
Quantum
Solitons................................124
6.3.3
Quantum Inverse Scattering
.......................125
6.3.4
Quantum Chaos?
.................................126
6.4
Chemical and Biochemical Phenomena
....................127
6.4.1
Molecular Dynamics
..............................127
6.4.2
Energy Localization in Biornolecules
................128
6.4.3
Chemical Aggregates
.............................131
6.4.4
Chemical Kinetics
................................132
6.5
Condensed-Matter Physics
...............................132
6.5.1
Extrinsic Nonlinearity
.............................133
6.5.2
Phase Transitions
................................133
6.5.3
Supersonic Solitary Waves
.........................135
6.5.4
Discrete Breathers
................................136
6.6
Engineering Applications
................................138
6.6.1
Nonlinear Mechanical Vibrations
...................138
6.6.2
Vacuum Tube Electronics
.........................139
6.6.3
Negative and Positive Feedback
....................140
6.6.4
Frequency-Power Formulas
........................142
6.6.5
Synchronization
..................................142
6.6.6
Nonlinear Diffusion
...............................143
Contents XIII
6.6.7
Shock Waves and
Solitons.........................145
6.6.8
Electronic Chaos
.................................146
6.7
Optical Science
.........................................147
6.7.1
Lasers
..........................................147
6.7.2
Motivational Instability
...........................149
6.7.3 Solitons
on Optical Fibers
.........................150
6.7.4
Pump-Probe Spectroscopy
........................150
6.8
Fluid Dynamics
........................................152
6.8.1
Supersonic Waves
................................152
6.8.2
Shock Waves
.....................................153
6.8.3
Rayleigh-Bénard
Cells
............................155
6.8.4
Plasma Waves
...................................156
6.8.5
Rogue Waves
....................................157
6.8.6
Coronets, Splashes and Antibubbles
................160
6.8.7
Atmospheric Dynamics
............................162
6.8.8
Turbulence
......................................164
6.9
Gravitation and Cosmology
..............................165
6.9.1
General Relativity Theory
.........................166
6.9.2
Nonlinear Cosmic Phenomena
......................170
6.9.3
Black Holes
......................................172
6.9.4
Tests of GRT
....................................174
6.9.5
A Hierarchy of Universes?
.........................177
Nonlinear Biology
........................................181
7.1
Nonlinear Biochemistry
.................................182
7.1.1 Fröhlich
Theory
..................................182
7.1.2
Protein
Solitons..................................183
7.1.3
Biological Applications of Protein
Solitons...........190
7.1.4 DNA Solitons
and the Hijackers
....................196
7.1.5
The Coils of Chromatin
...........................203
7.2
On Growth and Form
...................................204
7.2.1
The Physics of Form
..............................205
7.2.2
Biological Membranes
.............................211
7.2.3
Leonardo s Law
..................................214
7.2.4
Turing Patterns
..................................219
7.2.5
Buridan s Ass, Instability and Emergence
............222
7.2.6
Relational Biology
................................225
7.2.7
A Clash of Scientific Cultures?
.....................226
7.3
Physical and Life Sciences
...............................229
7.3.1
Mathematical Biology
.............................229
7.3.2
Collective Phenomena
.............................230
7.3.3
Population Dynamics
.............................232
7.3.4
Immense Numbers
................................236
7.3.5
Homogeneous vs. Heterogeneous Sets
...............238
7.3.6
Biological Hierarchies
.............................239
XIV Contents
7.4
Neuroscience
...........................................240
7.4.1 Nerve Models....................................242
7.4.2
The Multiplex Neuron
............................252
7.4.3
The McCulloch-Pitts Model of the Brain
............257
7.4.4
Hebb s Cell Assembly
.............................260
7.4.5
Cognitive Hierarchies
.............................274
8
Reductionism and Life
....................................277
8.1
Newton s Legacy
.......................................277
8.1.1
The Reductive Program
...........................278
8.1.2
Supervenience and Physicalism
.....................279
8.1.3
Practical Considerations
...........................280
8.2
Objections to Reductionism
..............................280
8.2.1
Googols of Possibilities
............................281
8.2.2
Convoluted Causality
.............................281
8.2.3
Nonlinear Causality
..............................283
8.2.4
Time s Arrow
....................................284
8.2.5
Downward Causation
.............................284
8.2.6
Open Systems
...................................285
8.2.7
Closed Causal Loops and Open Networks
............287
8.3
Theories of Life
........................................290
8.3.1
Artificial Life vs. Autopoiesis
......................291
8.3.2
Relational Biology
................................292
8.3.3
Mechanisms
.....................................293
8.3.4
Complex Systems and Chaotic Emergence
...........296
8.3.5
What Is Life?
....................................300
9
Epilogue
..................................................303
A Phase Space
..............................................307
В
Quantum Theory
.........................................315
References
....................................................321
|
| adam_txt |
Contents
1
Introduction
. 1
1.1
What Is Nonlinear Science?
. 4
1.2
An Explosion of Activity
. 9
1.3
Causes of the Revolution
. 13
2
Chaos
. 19
2.1
The Three-Body Problem
. 20
2.2
Poincaré's
Instructive Mistake
. 21
2.3
The
Lorenz Attractor. 23
2.4
Other Irregular Curves
. 25
2.5
The
KAM
Theorem
. 30
2.6
More Early Discoveries of Low-Dimensional Chaos
. 34
2.7
Is There Chaos in the Solar System?
. 36
3 Solitons. 43
3.1
Russell's Solitary Waves
. 43
3.2
The Inverse Scattering Method
. 46
3.3
The Nonlinear
Schrödinger
Equation
. 50
3.4
The Sine-Gordon Equation
. 51
3.5
Nonlinear Lattices
. 56
3.6
Some General Comments
. 58
4
Nerve Pulses and Reaction-Diffusion Systems
. 63
4.1
Nerve-Pulse Velocity
. 63
4.2
Simple Nerve Models
. 69
4.3
Reaction Diffusion in Higher Dimensions
. 72
5
The Unity of Nonlinear Science
. 79
5.1
The Provinces of Nonlinearity
. 79
5.1.1 Solitons
and Reaction Diffusion
. 80
5.1.2
The
KAM
Theorem
. 83
5.1.3
Chaos
. 84
5.1.4
Reaction Diffusion and Chaos
. 85
5.2
Metatheories of Nonlinear Science
. 86
5.2,1
Cybernetics (C)
. 86
XII Contents
5.2.2
Mathematical Biology (MB)
. 88
5.2.3
General Systems Theory (GST)
. 93
5.2.4
Nonequilibrium Statistical Mechanics (NSM)
. 94
5.2.5
Catastrophe Theory (CT)
. 95
5.2.6
Synergetics (S)
. 96
5.2.7
Complex Adaptive Systems (CAS)
. 97
5.3
Interrelations Among the Metatheories
. 98
6
Physical Applications of Nonlinear Theory
.101
6.1
Theories of Matter
.101
6.1.1
Mie's Nonlinear
Electromagnetism
.102
6.1.2 De
Brogue's Guiding Waves and the Double Solution
. 106
6.1.3
Skyrmions
.107
6.1.4
Point vs. Extended Particles
.108
6.2
Quantum Theory
.110
6.2.1
Quantum Probabilities
.
Ill
6.2.2 Schrödinger's
Cat
.112
6.2.3
The EPR Paradox
.113
6.2.4
Nonlocality and Quantum Entanglement
.116
6.2.5
Bell's Inequality
.117
6.2.6
Joint Measurability
.119
6.2.7
Many Worlds?
.120
6.2.8
Nonlinear Quantum Mechanics?
.121
6.3
Quantum Energy Localization and Chaos
.122
6.3.1
Local Modes in Molecules
.122
6.3.2
Quantum
Solitons.124
6.3.3
Quantum Inverse Scattering
.125
6.3.4
Quantum Chaos?
.126
6.4
Chemical and Biochemical Phenomena
.127
6.4.1
Molecular Dynamics
.127
6.4.2
Energy Localization in Biornolecules
.128
6.4.3
Chemical Aggregates
.131
6.4.4
Chemical Kinetics
.132
6.5
Condensed-Matter Physics
.132
6.5.1
Extrinsic Nonlinearity
.133
6.5.2
Phase Transitions
.133
6.5.3
Supersonic Solitary Waves
.135
6.5.4
Discrete Breathers
.136
6.6
Engineering Applications
.138
6.6.1
Nonlinear Mechanical Vibrations
.138
6.6.2
Vacuum Tube Electronics
.139
6.6.3
Negative and Positive Feedback
.140
6.6.4
Frequency-Power Formulas
.142
6.6.5
Synchronization
.142
6.6.6
Nonlinear Diffusion
.143
Contents XIII
6.6.7
Shock Waves and
Solitons.145
6.6.8
Electronic Chaos
.146
6.7
Optical Science
.147
6.7.1
Lasers
.147
6.7.2
Motivational Instability
.149
6.7.3 Solitons
on Optical Fibers
.150
6.7.4
Pump-Probe Spectroscopy
.150
6.8
Fluid Dynamics
.152
6.8.1
Supersonic Waves
.152
6.8.2
Shock Waves
.153
6.8.3
Rayleigh-Bénard
Cells
.155
6.8.4
Plasma Waves
.156
6.8.5
Rogue Waves
.157
6.8.6
Coronets, Splashes and Antibubbles
.160
6.8.7
Atmospheric Dynamics
.162
6.8.8
Turbulence
.164
6.9
Gravitation and Cosmology
.165
6.9.1
General Relativity Theory
.166
6.9.2
Nonlinear Cosmic Phenomena
.170
6.9.3
Black Holes
.172
6.9.4
Tests of GRT
.174
6.9.5
A Hierarchy of Universes?
.177
Nonlinear Biology
.181
7.1
Nonlinear Biochemistry
.182
7.1.1 Fröhlich
Theory
.182
7.1.2
Protein
Solitons.183
7.1.3
Biological Applications of Protein
Solitons.190
7.1.4 DNA Solitons
and the Hijackers
.196
7.1.5
The Coils of Chromatin
.203
7.2
On Growth and Form
.204
7.2.1
The Physics of Form
.205
7.2.2
Biological Membranes
.211
7.2.3
Leonardo's Law
.214
7.2.4
Turing Patterns
.219
7.2.5
Buridan's Ass, Instability and Emergence
.222
7.2.6
Relational Biology
.225
7.2.7
A Clash of Scientific Cultures?
.226
7.3
Physical and Life Sciences
.229
7.3.1
Mathematical Biology
.229
7.3.2
Collective Phenomena
.230
7.3.3
Population Dynamics
.232
7.3.4
Immense Numbers
.236
7.3.5
Homogeneous vs. Heterogeneous Sets
.238
7.3.6
Biological Hierarchies
.239
XIV Contents
7.4
Neuroscience
.240
7.4.1 Nerve Models.242
7.4.2
The Multiplex Neuron
.252
7.4.3
The McCulloch-Pitts Model of the Brain
.257
7.4.4
Hebb's Cell Assembly
.260
7.4.5
Cognitive Hierarchies
.274
8
Reductionism and Life
.277
8.1
Newton's Legacy
.277
8.1.1
The Reductive Program
.278
8.1.2
Supervenience and Physicalism
.279
8.1.3
Practical Considerations
.280
8.2
Objections to Reductionism
.280
8.2.1
Googols of Possibilities
.281
8.2.2
Convoluted Causality
.281
8.2.3
Nonlinear Causality
.283
8.2.4
Time's Arrow
.284
8.2.5
Downward Causation
.284
8.2.6
Open Systems
.285
8.2.7
Closed Causal Loops and Open Networks
.287
8.3
Theories of Life
.290
8.3.1
Artificial Life vs. Autopoiesis
.291
8.3.2
Relational Biology
.292
8.3.3
Mechanisms
.293
8.3.4
Complex Systems and Chaotic Emergence
.296
8.3.5
What Is Life?
.300
9
Epilogue
.303
A Phase Space
.307
В
Quantum Theory
.315
References
.321 |
| any_adam_object | 1 |
| any_adam_object_boolean | 1 |
| author | Scott, Alwyn 1931-2007 |
| author_GND | (DE-588)124032400 |
| author_facet | Scott, Alwyn 1931-2007 |
| author_role | aut |
| author_sort | Scott, Alwyn 1931-2007 |
| author_variant | a s as |
| building | Verbundindex |
| bvnumber | BV022938663 |
| classification_rvk | CC 6300 SK 540 UG 3900 |
| ctrlnum | (OCoLC)229911596 (DE-599)DNB983416974 |
| dewey-full | 530.1 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 530 - Physics |
| dewey-raw | 530.1 |
| dewey-search | 530.1 |
| dewey-sort | 3530.1 |
| dewey-tens | 530 - Physics |
| discipline | Physik Mathematik Philosophie |
| discipline_str_mv | Physik Mathematik Philosophie |
| format | Book |
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| id | DE-604.BV022938663 |
| illustrated | Illustrated |
| index_date | 2024-07-02T18:57:29Z |
| indexdate | 2024-07-09T21:08:06Z |
| institution | BVB |
| isbn | 9783540341529 3540341528 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-016143369 |
| oclc_num | 229911596 |
| open_access_boolean | |
| owner | DE-703 DE-19 DE-BY-UBM DE-12 DE-20 DE-634 DE-11 |
| owner_facet | DE-703 DE-19 DE-BY-UBM DE-12 DE-20 DE-634 DE-11 |
| physical | XIV, 364 S. Ill., graph. Darst. |
| publishDate | 2007 |
| publishDateSearch | 2007 |
| publishDateSort | 2007 |
| publisher | Springer Berlin |
| record_format | marc |
| series2 | The Frontiers Collection |
| spelling | Scott, Alwyn 1931-2007 Verfasser (DE-588)124032400 aut The nonlinear universe chaos, emergence, life Alwyn C. Scott Berlin [u.a.] Springer Berlin 2007 XIV, 364 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier The Frontiers Collection Chaotic behavior in systems Nonlinear theories Forecasting Research Forecasting Twenty-first century Nichtlineare Theorie (DE-588)4251279-7 gnd rswk-swf Physik (DE-588)4045956-1 gnd rswk-swf Biologie (DE-588)4006851-1 gnd rswk-swf Nichtlineare Theorie (DE-588)4251279-7 s Physik (DE-588)4045956-1 s DE-604 Biologie (DE-588)4006851-1 s Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016143369&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Scott, Alwyn 1931-2007 The nonlinear universe chaos, emergence, life Chaotic behavior in systems Nonlinear theories Forecasting Research Forecasting Twenty-first century Nichtlineare Theorie (DE-588)4251279-7 gnd Physik (DE-588)4045956-1 gnd Biologie (DE-588)4006851-1 gnd |
| subject_GND | (DE-588)4251279-7 (DE-588)4045956-1 (DE-588)4006851-1 |
| title | The nonlinear universe chaos, emergence, life |
| title_auth | The nonlinear universe chaos, emergence, life |
| title_exact_search | The nonlinear universe chaos, emergence, life |
| title_exact_search_txtP | The nonlinear universe chaos, emergence, life |
| title_full | The nonlinear universe chaos, emergence, life Alwyn C. Scott |
| title_fullStr | The nonlinear universe chaos, emergence, life Alwyn C. Scott |
| title_full_unstemmed | The nonlinear universe chaos, emergence, life Alwyn C. Scott |
| title_short | The nonlinear universe |
| title_sort | the nonlinear universe chaos emergence life |
| title_sub | chaos, emergence, life |
| topic | Chaotic behavior in systems Nonlinear theories Forecasting Research Forecasting Twenty-first century Nichtlineare Theorie (DE-588)4251279-7 gnd Physik (DE-588)4045956-1 gnd Biologie (DE-588)4006851-1 gnd |
| topic_facet | Chaotic behavior in systems Nonlinear theories Forecasting Research Forecasting Twenty-first century Nichtlineare Theorie Physik Biologie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016143369&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT scottalwyn thenonlinearuniversechaosemergencelife |