The Nonlinear Workbook

Chaos, Fractals, Cellular Automata, Genetic Algorithms, Gene Expression Programming, Support Vector Machine, Wavelets, Hidden Markov Models, Fuzzy Logic with C++, Java and SymbolicC++ Programs

Willi-Hans Steeb

• Éditeur: WSPC
• Année: 2014
• ISBN:
  9789814583497
• Sujet: Mathematics
• Sous-sujet: Complex Analysis

The Nonlinear Workbook provides a comprehensive treatment of all the techniques in nonlinear dynamics together with C++, Java and SymbolicC++ implementations. The book not only covers the theoretical aspects of the topics but also provides the practical tools. To understand the material, more than 100 worked out examples and 160 ready to run programs are included. Each chapter provides a collection of interesting problems. New topics added to the 6th edition are Swarm Intelligence, Quantum Cellular Automata, Hidden Markov Model and DNA, Birkhoff's ergodic theorem and chaotic maps, Banach fixed point theorem and applications, tau-wavelets of Haar, Boolean derivatives and applications, and Cartan forms and Lagrangian.
Contents:

• Nonlinear and Chaotic Maps
• Time Series Analysis
• Autonomous Systems in the Plane
• Nonlinear Hamilton Systems
• Nonlinear Dissipative Systems
• Nonlinear Driven Systems
• Controlling of Chaos
• Synchronization of Chaos
• Fractals
• Cellular Automata
• Solving Ordinary Differential Equations
• Optimization
• Neural Networks
• Genetic Algorithms
• Gene Expression Programming
• Wavelets
• Discrete Hidden Markov Models
• Fuzzy Sets and Fuzzy Logic
• Students and researchers in mathematics, physics, and computer science. Key Features:
  • Provides all the tools useful for mathematicians, physicists, and computer scientists
  • Surveys all the topics important in nonlinear science