1 Introduction
  1.1  Synchronization of Chaotic Systems
  1.2  Control of Chaos
  1.3  Neural Networks and Chaos
  1.4  Extension of Chaos
  1.5  Ordering Chaos
  1.6  Self-organization of Chaos
  1.7  Morphogenesis of Chaos
  1.8  Chaos and Cellular Automata
  1.9  Synergetics and Chaos
  1.10  Mathematics in Chaos Theory
  1.11  Chaos Theory and Real World
  1.12  Organization of the Book
  References
2 Repfication of Continuous Chaos About Equilibria
  2.1  Introduction
  2.2  Preliminaries
  2.3  Chaotic Sets of Functions
    2.3.1  Devaney Set of Functions
    2.3.2  Li-Yorke Set of Functions
  2.4  Hyperbolic Set of Functions
  2.5  Replication of Devaney's Chaos
  2.6  Extension of Li-Yorke Chaos
  2.7  Morphogenesis of Chaos
  2.8  Period-Doubling Cascade
  2.9  Control by Replication
  2.10 Miscellany
    2.10.1  Intermittency
    2.10.2  Shilnikov Orbits
    2.10.3  Morphogenesis of the Double-Scroll Chua's Attractor
    2.10.4  Quasiperiodicity in Chaos
    2.10.5  Replicators with Nonnegative Eigenvalues
  2.11 Notes
  References
3 Chaos Extension in Hyperbolic Systems
  3.1  Introduction
  3.2  Preliminaries
  3.3  Extension of Chaos
  3.4  Simulations
  3.5  Notes
  References
4 Entrainment by Chaos
  4.1  Introduction
  4.2  Preliminaries
  4.3  Sensitivity
  4.4  Unstable Periodic Solutions
  4.5  Main Result
  4.6  Examples
  4.7  Miscellany
    4.7.1  Chaotic Tori
    4.7.2  Entrainment in Chua's Oscillators
    4.7.3  Controlling Chaos
    4.7.4  Entrainment and Synchronization
  4.8  The Regular Motion Near the Limit Cycle
  4.9  Notes
  References
5 Chaotifieation of Impulsive Systems
  5.1  Introduction
  5.2  Preliminaries
  5.3  Chaotic Dynamics
  5.4  An Example
  5.5  Notes
  References
6 Chaos Generation in Continuous/Discrete-Time Models
  6.1  Devaney's Chaos of a Relay System
    6.1.1  Introduction and Preliminaries
    6.1.2  The Chaos
    6.1.3  The Chaos on the Attractor
    6.1.4  The Period-Doubling Cascade and Intermittency: An Example
  6.2  Li-Yorke Chaos in Systems with Impacts
    6.2.1  Introduction and Preliminaries
    6.2.2  Main Results
  6.3  Li-Yorke Chaos in the System with Relay
    6.3.1  Introduction and Preliminaries
    6.3.2  The Li-Yorke Chaos
  6.4  Dynamical Synthesis of Quasi-Minimal Sets
    6.4.1  Introduction
    6.4.2  Main Result
    6.4.3  A Simulation Result
    6.4.4  Appendix
  6.5  Hyperbolic Sets of Impact Systems
  6.6  Chaos and Shadowing
    6.6.1  Introduction and Preliminaries
    6.6.2  The Devaney's Chaos
    6.6.3  Shadowing Property
    6.6.4  Simulations
  6.7  Chaos in the Forced Duffing Equation
    6.7.1  Introduction and Preliminaries
    6.7.2  The Chaos Emergence
    6.7.3  Controlling Results
    6.7.4  Morphogenesis and the Logistic Map
    6.7.5  Miscellany
  6.8  Notes
  References
7 Economic Models with Exogenous Continuous/Discrete Shocks
  7.1  Chaos in Economic Models with Equilibria
    7.1.1  Introduction
    7.1.2  Modeling the Exogenous Shock
    7.1.3  Mathematical Investigation of System (7.1.5)
    7.1.4  Chaos in a Kaldor-Kalecki Model
  7.2  Chaotic Business Cycles
    7.2.1  Introduction
    7.2.2  The Input-Output Mechanism and Applications
    7.2.3  Economic Models: The Base Systems
    7.2.4  Chaos in a Stellar of Economical Models
    7.2.5  Kaldor-Kalecki Model with Time Delay
    7.2.6  Chaos Extension Versus Synchronization
  7.3  The Global Unpredictability, Self-organization and Synergetics
  7.4  Notes
  References
8 Chaos by Neural Networks
  8.1  SICNNs with Chaotic External Inputs
    8.1.1  Introduction
    8.1.2  Preliminaries
    8.1.3  Chaotic Dynamics
    8.1.4  Examples
  8.2  Attraction of Chaos by Retarded SICNNs
    8.2.1  Introduction
    8.2.2  Preliminaries
    8.2.3  Li-Yorke Chaos
    8.2.4  An Example
    8.2.5  Synchronization of Chaos
  8.3  Impulsive SICNNs with Chaotic Postsynaptic Currents
    8.3.1  Introduction
    8.3.2  Preliminaries
    8.3.3  The Existence of Chaos
    8.3.4  Examples
  8.4  Cyclic/Toroidal Chaos in Hopfield Neural Networks
    8.4.1  Introduction
    8.4.2  Entrainment by Chaos in HNNs
    8.4.3  Control of Cyclic/Toroidal Chaos in Neural Networks
  8.5  Notes
  References
9 The Prevalence of Weather Unpredictability
  9.1  Introduction
  9.2  Coupling Mechanism for Unpredictability
  9.3  Extension of Lorenz Unpredictability
  9.4  Period-Doubling Cascade
  9.5  Cyclic Chaos in Lorenz Systems
  9.6  Intermittency in the Weather Dynamics
  9.7  Self-Organization and Synergetics
  9.8  The Mathematical Background
    9.8.1  Bounded Positively Invariant RegiOn
    9.8.2  Unpredictability Analysis
    9.8.3  Unstable Cycles and Unpredictability
  9.9  Notes
  References
10 Spatiotemporal Chaos in Glow Discharge-Semiconductor Systems
  10.1  Introduction
  10.2  Preliminaries
    10.2.1  Description of the GDS Model
    10.2.2  The Model in Dimensionless Form
  10.3  Chaotically Coupled GDS Systems
  10.4  The Chaos in the Drive GDS System
  10.5  Notes
  References