Problems and Solutions

Nonlinear Dynamics, Chaos and Fractals

This book presents a collection of problems for nonlinear dynamics, chaos theory and fractals. Besides the solved problems, supplementary problems are also added. Each chapter contains an introduction with suitable definitions and explanations to tackle the problems.

The material is self-contained, and the topics range in difficulty from elementary to advanced. While students can learn important principles and strategies required for problem solving, lecturers will also find this text useful, either as a supplement or text, since concepts and techniques are developed in the problems.

Contents:

• One-Dimensional Maps:

  • Notations and Definitions
  • One-Dimensional Maps

• Higher-Dimensional Maps and Complex Maps:

  • Introduction
  • Two-Dimensional Maps
  • Complex Maps
  • Higher-Dimensional Maps
  • Bitwise Maps

• Fractals

  • Introduction
  • Solved Problems
  • Supplementary Problems

Readership: Graduate students who focus on chaos, fractals and nonlinear dynamics.