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Preface; Contents; Part I: Physical Modeling of Complex Systems; Physics in the World of Ideas:Complexity as Energy; 1 Complexity as Energy; 1.1 Energy, Partition Function and Hamiltonian Evolution; 1.2 Constructive Worlds; 1.3 Kolmogorov Complexity of Constructive Objects; 1.4 Fractality and Symmetries of the Kolmogorov Complexity; 2 Probability Distributions on Constructive Worlds and Zipf's Law; 2.1 Zipf's Law; 2.2 Zipf's Law from Complexity; 3 Error-Correcting Codes and Their Asymptotic Bounds; 3.1 Codes and Code Points; 3.2 Can One Compute an Asymptotic Bound?
3.3 A Brief Survey of Some Known ResultsReferences; Complexity Measures and Physical Principles; 1 Introduction; 2 Measures of Complexity; 3 Finding an Optimal Model under Constraints; 4 Discussion; References; Collective Dynamics in Neural Networks; 1 Introduction; References; Transient Sequences in a Network of ExcitatoryCoupled Morris-Lecar Neurons; 1 Introduction; 2 Model; 3 Synaptic Coupling Dynamics; 4 Oscillatory Metastable States; 5 Transient Sequences; 6 Conclusion; References; The Development of Chemical Artificial Intelligence Processing Fuzzy Logic; 1 Introduction.
2 Computational and Algorithmic Analysis of Human Nervous System3 Chromogenic Materials as Artificial Sensory Elements to Process Fuzzy Logic; 4 Excitable and Oscillatory Reactions as Prototypes of Artificial Neurons; 5 Conclusion; References; Weak Sensitivity to Initial Conditions for Generating Temporal Patterns in Recurrent Neural Networks: A Reservoir Computing Approach; 1 Introduction; 2 Model and Method; 3 Numerical Simulations and Results; 4 Conclusion; References; Synchronization and Controlin Modular Networks of Spiking Neurons; 1 Introduction; 2 Map-Based Model of Neural Activity.
3 Modular Network with Inhibitory Coupling4 Modular Networks with Excitatory Delayed Coupling; 5 Conclusions; References; Birth-Death Models of Information Spread in Structured Populations; 1 Introduction; 2 Birth-Death Models and the Moran Process; References; Coexistence of Deterministic and StochasticBistability in a 1-D Birth-Death Processwith Hill Type Nonlinear Birth Rates; 1 Introduction; 2 Reduced ODE lac Operon Model; 3 Reduced CME lac Operon Model; 4 A Comparative Study on a Benchmark 1-D Birth Death Model; 5 Conclusion; References.
Intellectualized Home Environment as a Complex System1 Introduction: State-of-the-Art; 2 IHE: The Descriptive Approach; 3 Intellectual Complex Systems Model Implementation; 4 Experimental Simulation Results; 5 Concluding Remarks; References; Desertification Transition in Semi-aridEcosystems and Directed Percolation; 1 Introduction; 2 Model and Discussion; 3 Conclusions; References; Lognormality Observed for Additive Processes:Application to Turbulence; 1 Introduction; 2 Condition for Additive Processes; 3 Example: Gamma Distribution; 4 Application: Fluid Turbulence; 5 Conclusion and Prospects.
3.3 A Brief Survey of Some Known ResultsReferences; Complexity Measures and Physical Principles; 1 Introduction; 2 Measures of Complexity; 3 Finding an Optimal Model under Constraints; 4 Discussion; References; Collective Dynamics in Neural Networks; 1 Introduction; References; Transient Sequences in a Network of ExcitatoryCoupled Morris-Lecar Neurons; 1 Introduction; 2 Model; 3 Synaptic Coupling Dynamics; 4 Oscillatory Metastable States; 5 Transient Sequences; 6 Conclusion; References; The Development of Chemical Artificial Intelligence Processing Fuzzy Logic; 1 Introduction.
2 Computational and Algorithmic Analysis of Human Nervous System3 Chromogenic Materials as Artificial Sensory Elements to Process Fuzzy Logic; 4 Excitable and Oscillatory Reactions as Prototypes of Artificial Neurons; 5 Conclusion; References; Weak Sensitivity to Initial Conditions for Generating Temporal Patterns in Recurrent Neural Networks: A Reservoir Computing Approach; 1 Introduction; 2 Model and Method; 3 Numerical Simulations and Results; 4 Conclusion; References; Synchronization and Controlin Modular Networks of Spiking Neurons; 1 Introduction; 2 Map-Based Model of Neural Activity.
3 Modular Network with Inhibitory Coupling4 Modular Networks with Excitatory Delayed Coupling; 5 Conclusions; References; Birth-Death Models of Information Spread in Structured Populations; 1 Introduction; 2 Birth-Death Models and the Moran Process; References; Coexistence of Deterministic and StochasticBistability in a 1-D Birth-Death Processwith Hill Type Nonlinear Birth Rates; 1 Introduction; 2 Reduced ODE lac Operon Model; 3 Reduced CME lac Operon Model; 4 A Comparative Study on a Benchmark 1-D Birth Death Model; 5 Conclusion; References.
Intellectualized Home Environment as a Complex System1 Introduction: State-of-the-Art; 2 IHE: The Descriptive Approach; 3 Intellectual Complex Systems Model Implementation; 4 Experimental Simulation Results; 5 Concluding Remarks; References; Desertification Transition in Semi-aridEcosystems and Directed Percolation; 1 Introduction; 2 Model and Discussion; 3 Conclusions; References; Lognormality Observed for Additive Processes:Application to Turbulence; 1 Introduction; 2 Condition for Additive Processes; 3 Example: Gamma Distribution; 4 Application: Fluid Turbulence; 5 Conclusion and Prospects.