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Haken H. — Information and Self-Organization
Haken H. — Information and Self-Organization

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Название: Information and Self-Organization

Автор: Haken H.

Аннотация:

This book presents the concepts needed to deal with self-organizing complex systems from a unifying point of view that uses macroscopic data. The various meanings of the concept "information" are discussed and a general formulation of the maximum information (entropy) principle is used. With the aid of results from synergetics, adequate objective constraints for a large class of self-organizing systems are formulated and examples are given from physics, biology, and computer science (pattern recognition by parallel computers). The extensions contained in the second edition show how, based on possibly scarce and noisy data, unbiased guesses about processes of complex systems can be made and the underlying deterministic and random forces determined. This procedure allows probabilistic predictions of processes, with applications to numerous fields ranging from technology through biology and medicine to economy. The relationship to chaos theory is also addressed.


Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Издание: 2-nd edition, enlarged

Год издания: 2000

Количество страниц: 232

Добавлена в каталог: 01.12.2013

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Absolute temperature      66 202
Activator molecules      26 28
Adiabatic approximation      30 137
Adiabatic elimination technique      84
Algebraic complexity      4
Amount of information      53
Amplifying processes      24
Animal society      2
Associative action      165ff
Associative memory      159 163
Atomic dipole moment      110
Atomic polarization      37
Attractors      16ff 20ff 192f
Attractors, basin of      22
Attractors, chaotic      16
Attractors, relative importance of      18f 22
Axon      35
Belousov — Zhabotinsky reaction      9
Biased action      59
Binary system      54
Binary system, a sequence of symbols      54
Bit      54
Boltzmann distribution function      5 65
Boltzmann's constant      13 65 202
Boundary condition      40
Brain      2 28f
Brownian motion of a particle      37 181f
Brownian particle      38
Capacity of a communication channel      16 23
cell      2 28
Cell membrane      2
Cell, differentiation of      28
Chaos      52
Chaos, theory      189f
Chaotic attractor      16
Chemical field      26
chemical potential      67
Chemical reactions      2ff 24 28 37
Chemical reactions, concentric waves      24
Chemical reactions, continuous oscillations      24
Chemical reactions, macroscopic patterns      8
Chemical reactions, spatial spirals      24
Closed systems      16 23
Coherent state      30
Complex systems      1ff 36ff 51 208f
Complex systems and synergetics      1
Complex systems in biology      2
Complex systems in chemistry      2
Complex systems, concepts and methods      1ff
Complex systems, qualitative behavior of      1ff 208ff
Complex systems, quantitative methods      1 36ff
Complex systems, unifying principles      5
complexity      4f 45
Complexity, measure of the algebraic degree of      5
Complexity, reduction of      45
Compressibility of a crystal      2
Compression      5ff 25 151
Compression of a string of data      5
Compression of information      7 25 151
Computer      3f 11 15
Computer of the fifth generation      15
Conditional probability      49 77 119
Conditional probability for an enslaved mode amplitude      119
Constraints      13 33 56ff 70 74
Constraints and information      56
Constraints, choice of      33f
Constraints, external      13
Contour line      22
Control      187ff
Control parameter      13 46 83 97 108ff 111ff 114
Convection instability      138f
Cooperation of cells      2
Coordination of muscles      3
Correlation functions      35 130ff 166
Correlation functions as constraints      130ff 166
Critical fluctuations      94f 115 119 147f 151
Crystal      2 6
Crystal as a conductor of electricity      2
Crystal, compressibility of      2
Crystal, order of      6
Cyclic adenosinemonophosphate (cAMP)      26
Cyclic adenosinemonophosphate (cAMP), spiral pattern of concentration of      26
Cytoplasm      2
DATA      4ff
Data, initial      4
Data, initial, minimum number of      5
Data, sequence of      4
Data, string of      4
S-theorem of Klimontovich      102ff
Shannon information      15ff 208f
Slaving principle      13 25 27 33 45 48f 77 81ff 113
Slaving principle, application to information      82ff
Slime mold      10 26
Smoothing schemes trajectory      192ff
Smoothing schemes, additive noise      174ff
Smoothing schemes, multiplicative noise      174ff
Sociology      37
Soft mode instability      119
Soft single-mode instabilities      84f
Solid state physics      37
Soma      35
Spin-glass model      164
Spontaneous emission      30 106 195
Stable point      18
State vector      38 46 161
State vector, multidimensional      38
Stationary process      70
Statistical mechanics      5 7 33 36 see
Statistical mechanics, derivation from microscopic laws      7
Steam engine      2
Stimulated emission      30 106 195
Stirling's formula      55
Stochastic forces      162
Stochastic process      38f
Stochastic variables      71
Strange Attractor      17
Symmetry      75
Symmetry breaking      18 78 95 115
Synaptic strength      163
Synergetic computers      37 161ff
Synergetic computers, basic construction principle of      161ff
Synergetic information      26 208
Synergetics      1 13f 33ff 36 38
Synergetics, macroscopic approach to      1
Synergetics, microscopic approach to      1
Synergetics, the second foundation of      33
systems      1ff 11ff 16 22ff 27 29 41 95 102 152 169ff 182 see
Systems far from thermal equilibrium      11 13f 24 41 95 102
Systems in nature      4
Systems in thermal equilibrium      11 41 208
Systems, biological      29 152 208
Systems, closed      16 95
Systems, degeneracy of      27
Systems, efficiency of      27
Systems, error-correcting      22
Systems, learning process of      22
Systems, man-made      4
Systems, nonequilibrium      35
Systems, open      12f 24 33 95
Systems, quantum      169
Systems, reliability of      27
Taylor series      172
Thermal equilibrium      11ff 41 69
Thermodynamic entropy      88
Thermodynamic potential      68
Thermodynamic potential, generalized      43
Thermodynamics      1 7 11f 13 53 65ff 95 110 125 202
Thermodynamics and statistical mechanics      65
Thermodynamics, a macroscopic phenomenological theory      12
Thermodynamics, first law of      12
Thermodynamics, generalization of the concepts of      110
Thermodynamics, irreversible      13 68 73 125
Thermodynamics, second law of      12 23
Time-ordered operators      201
Torus      17
Turing machine      4f
Turing machine, schematic of      5
Unbiased estimates      59
Unit matrix      200
Universal computer      4
Universal laws      6
Variables      59 66 68 70
variables, dependent      66 68
Variables, independent      66 68
Variables, random      59 70
Variance      62
Variational Principle      63
Weber function      97ff
Weight function      70
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