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Necessity for a Science of Complex Sytems |
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1 | (32) |
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1 | (3) |
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4 | (4) |
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8 | (3) |
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How Has Chaos Changed Our Way of Thinking? |
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11 | (2) |
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Dialectic Method to Overcome the Antithesis Between Determinism and Nondeterminism or Between Programs and Errors |
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11 | (1) |
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Dialectic Method to Overcome the Antithesis Between Order and Randomness |
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12 | (1) |
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Beyond the Antithesis Between Reductionism and Holism |
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12 | (1) |
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Dynamic Many-to-Many Relations and Bio-networks |
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13 | (8) |
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The Necessity of Dynamic Many-to-Many Relations |
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13 | (2) |
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Metabolic Systems, Differentiation, and Development |
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15 | (1) |
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16 | (1) |
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17 | (1) |
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18 | (1) |
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Rugged Landscapes and Their Problems |
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18 | (2) |
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20 | (1) |
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The Construction of an Artificial (Virtual) World |
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21 | (3) |
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24 | (2) |
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Beyond Top-Down Versus Bottom-Up |
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26 | (2) |
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Methodology of Study of Complex Systems |
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28 | (5) |
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Constructive Way of Understanding |
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29 | (1) |
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30 | (1) |
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31 | (1) |
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The Problem of Internal Observers |
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31 | (2) |
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Observation Problems from an Information-Theoretical Viewpoint |
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33 | (24) |
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Observation Problems of Chaos |
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33 | (4) |
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Undecidability and Entire Description |
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37 | (1) |
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38 | (1) |
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39 | (4) |
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43 | (4) |
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Could Structural Stability Lead to an Adequate Notion of a Model? |
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47 | (3) |
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Information Theory of Chaos |
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50 | (7) |
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CMLs: Constructive Approach to Spatiotemporal Chaos |
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57 | (50) |
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From a Descriptive to a Constructive Approach of Nature |
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57 | (2) |
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Coupled Map Lattice Approach to Spatiotemporal Chaos |
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59 | (6) |
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59 | (2) |
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Introduction to Coupled Map Lattices |
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61 | (3) |
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Comparison with Other Approaches |
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64 | (1) |
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Phenomenology of Spatiotemporal Chaos in the Diffusively Coupled Logistic Lattice |
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65 | (18) |
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65 | (1) |
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Frozen Random Patterns and Spatial Bifurcations |
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66 | (3) |
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Pattern Selection with Suppression of Chaos |
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69 | (1) |
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Brownian Motion of Chaotic Defects and Defect Turbulence |
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70 | (1) |
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Spatiotemporal Intermittency (STI) |
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71 | (4) |
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Stability of Fully Developed Spatiotemporal Chaos (FDSTC) Sustained by the Supertransients |
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75 | (2) |
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77 | (4) |
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81 | (2) |
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CML Phenomenology as a Problem of Complex Systems |
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83 | (1) |
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Phenonemology in Open-Flow Lattices |
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84 | (10) |
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84 | (1) |
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Spatial Bifurcation to Down-Flow |
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85 | (1) |
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Convective Instability and Spatial Amplification of Fluctuations |
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86 | (3) |
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89 | (2) |
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91 | (2) |
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Selective Amplification of Input |
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93 | (1) |
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94 | (3) |
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Theory for Spatiotemporal Chaos |
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97 | (3) |
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Applications of Coupled Map Lattices |
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100 | (7) |
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Pattern Formation (Spinodal Decompostion) |
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100 | (1) |
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Crystal Growth and Boiling |
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101 | (1) |
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101 | (2) |
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Spiral and Traveling Waves in Excitable Media |
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103 | (1) |
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Cloud Dynamics and Geophysics |
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104 | (1) |
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104 | (1) |
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104 | (1) |
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105 | (2) |
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Networks of Chaotic Elements |
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107 | (56) |
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107 | (4) |
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111 | (4) |
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Phase Transitions Between Clustering States |
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115 | (2) |
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Ordered Phase and Cluster Bifurcation |
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117 | (5) |
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Hierarchical Clustering and Chaotic Itinerancy |
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122 | (13) |
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122 | (3) |
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125 | (3) |
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128 | (4) |
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132 | (3) |
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Marginal Stability and Information Cascade |
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135 | (8) |
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135 | (4) |
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139 | (4) |
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143 | (14) |
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Remnant Mean-Field Fluctuation |
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143 | (3) |
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146 | (4) |
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Instability of the Fixed Point of the Perron--Frobenius Operator |
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150 | (3) |
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Destruction of Hidden Coherence by Noise and Anomalous Fluctuations |
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153 | (2) |
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155 | (1) |
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Significance of Collective Dynamics |
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156 | (1) |
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Universality and Nonuniversality |
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157 | (6) |
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Universality of Clustering and Other Transitions |
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157 | (2) |
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Globally Coupled Tent Map: Novelty Within Universality |
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159 | (4) |
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Significance of Coupled Chaotic Systems to Biological Networks |
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163 | (28) |
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Relevance of Coupled Maps to Biological Information Processing |
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163 | (1) |
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Application of Coupled Maps to Information Processing |
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164 | (7) |
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Memory to Attractor Mapping and the Switching Process |
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164 | (4) |
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Chaotic Itinerancy and Spontaneous Recall |
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168 | (2) |
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Optimization and Search by Spatiotemporal Chaos as Spatiotemporally Structured Noise |
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170 | (1) |
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Local--Global Transformation by Traveling Waves -- Information Creation and Transmission by Chaotic Traveling Waves |
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170 | (1) |
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Selective Amplification of Input Signals by the Unidirectionally Coupled Map Lattice |
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170 | (1) |
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Information Dynamics of a CML with One-Way Coupling |
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171 | (4) |
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Design of Coupled Maps and Plastic Dynamics |
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175 | (3) |
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Construction of Dynamic Many-to-Many Logic and Information Processing |
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178 | (1) |
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Implications to Biological Networks |
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179 | (12) |
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Prototype of Hierarchical Structures |
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180 | (1) |
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Prototype of Diversity and Differentiation |
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180 | (4) |
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Formation and Collapse of Relationships |
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184 | (1) |
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Clustering in Hypercubic Coupled Maps; Self-organizing Genetic Algorithms |
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184 | (2) |
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186 | (3) |
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189 | (2) |
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Chaotic Information Processing in the Brain |
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191 | (46) |
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Hermeneutics of the Brain |
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191 | (3) |
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A Brief Comment on Hermeneutics (the Inside and the Outside) |
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194 | (1) |
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A Method for Understanding the Brain and Mind - Internal Description |
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195 | (1) |
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Evidence of Chaos in Nervous Systems |
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196 | (2) |
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198 | (5) |
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The Implications of Stochastic Renewal of Maps |
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203 | (2) |
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203 | (1) |
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Skew-Product Transformations |
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204 | (1) |
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A Model for Dynamic Memory |
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205 | (1) |
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A Model for Dynamically Linking Memories |
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206 | (6) |
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Significance of Neurochaos |
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212 | (2) |
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214 | (5) |
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Capillary Chaos as a Complex Dynamics |
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219 | (18) |
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Significance of Capillary Pulsation in the Brain Functions |
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219 | (1) |
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220 | (1) |
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221 | (1) |
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Reconstruction of the Dynamics |
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222 | (2) |
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Calculations of Lyapunov Exponents |
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224 | (2) |
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226 | (4) |
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230 | (1) |
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231 | (4) |
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Implications of Capillary Chaos |
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235 | (2) |
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Conversations with Authors |
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237 | (14) |
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237 | (2) |
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239 | (12) |
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The Significance of Models in Complex Systems Research |
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239 | (4) |
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243 | (3) |
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New Information Theory and Internal Observation |
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246 | (5) |
| References |
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251 | (16) |
| Index |
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267 | |
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