Complexity Theory and Network Centric Warfare (Information Age Transformation Series)

Introduction 57......Page 13
Quantifying the Benefit of Collaboration Across an Information Network 130......Page 14
Catalog of CCRP Publications CAT-1......Page 15
List of Figures......Page 17
List of Tables......Page 21
Foreword......Page 23
Complexity in Natural and Economic Systems......Page 27
A Simple Example......Page 30
Open, Dissipative Structures......Page 34
An Example......Page 36
Modes of Behaviour in Nonlinear Systems......Page 37
The Far-from-Equilibrium State......Page 39
Robustness and Linear Stability Analysis......Page 41
The Bak-Sneppen Evolution Model......Page 43
Self-Organised Criticality......Page 47
Separation of Internal and External Timescales......Page 48
Clustering in Space and Time......Page 49
An Example-A Pile of Dry Sand on a Beach......Page 51
An Example: Clustering and Coevolution on a Global Information Grid......Page 53
Movement of a Boundary......Page 54
An Analytical Model of this Process......Page 57
An Example: Force Control along a Boundary......Page 58
Brownian Motion, Fractals, and Similarity......Page 59
Stock Prices and Brownian Motion......Page 63
Clustering in Time......Page 66
Summary......Page 68
Concepts for Warfare from Complexity Theory......Page 71
The Conceptual Framework of Complexity......Page 76
Self-Organisation and Clustering......Page 77
Forest Fires, Clusters of Trees, and Casualties in War......Page 78
Tuning and Goal Seeking......Page 80
Information Flux across the Boundary of an Open System......Page 81
Introduction......Page 83
Time Series Behaviour......Page 84
Area Taken and Mean Advance at Breakthrough......Page 89
The Fractal Front of Combat......Page 96
The Hartley Model......Page 98
Introduction......Page 103
More General Distribution of Cluster Sizes......Page 109
The Renormalisation Group......Page 110
Control of the Battlespace......Page 111
Control and Fractal Dimension......Page 116
Percolation Theory and the Renormalisation Group......Page 117
Implications for Self-Organising Information Networks......Page 119
Wargames as Open Systems Sustained by Knowledge Flowing Across the Boundary......Page 120
The Memoryless Property of Wargames......Page 121
The Epitomising Strategy Principle......Page 123
Wargaming with FASTHEX......Page 124
The Decision Problem......Page 125
Optimal Control Formulation......Page 127
The Two-Sided Game......Page 129
Games with Equivalent Decision Streams......Page 130
Decision Uncertainty......Page 134
Probability Distribution......Page 135
Bayesian Decisionmaking......Page 136
A Simple Example......Page 140
Multiple Sweeps......Page 141
False Target Detections/ Identifications......Page 143
Information Entropy......Page 144
Properties of Information Entropy......Page 146
Combat Cycle Knowledge......Page 147
Campaign Knowledge......Page 151
An Example......Page 153
The Effects of Knowledge......Page 154
Quantifying the Benefit of Collaboration Across an Information Network......Page 156
Stochastic Networks and Network Vulnerability......Page 162
An Extended Example of the Dynamics of Local Collaboration and Clustering, and Some Final Thoughts......Page 165
Clustering and Swarming......Page 167
Cluster Distribution......Page 168
The Distribution of Cluster Size......Page 173
Final Thoughts......Page 174
Optimal Control with a Unique Control Solution......Page 177
Determining the Extremal Controls......Page 180
Linear Models......Page 182
Uniqueness of the Extremal Control for a Linear System......Page 184
About the Author......Page 187
Catalog of CCRP Publications......Page 189