Ebook: Chaos: A Program Collection for the PC
- Tags: Complexity, Quantum Computing Information and Physics, Quantum Physics, Mathematical Methods in Physics, Computational Mathematics and Numerical Analysis, Numerical and Computational Methods in Engineering
- Year: 2008
- Publisher: Springer-Verlag Berlin Heidelberg
- Edition: 3
- Language: English
- pdf
This new edition strives yet again to provide readers with a working knowledge of chaos theory and dynamical systems through parallel introductory explanations in the book and interaction with carefully-selected programs supplied on the accompanying diskette. The programs enable readers, especially advanced-undergraduate students in physics, engineering, and math, to tackle relevant physical systems quickly on their PCs, without distraction from algorithmic details. For the third edition of Chaos: A Program Collection for the PC, each of the previous twelve programs is polished and rewritten in C++ (both Windows and Linux versions are included). A new program treats kicked systems, an important class of two-dimensional problems, which is introduced in Chapter 13. Each chapter follows the structure: theoretical background; numerical techniques; interaction with the program; computer experiments; real experiments and empirical evidence; reference. Interacting with the many numerical experiments have proven to help readers to become familiar with this fascinating topic and even to enjoy the experience.
This new edition strives yet again to provide readers with a working knowledge of chaos theory and dynamical systems through parallel introductory explanations in the book and interaction with carefully-selected programs supplied on the accompanying diskette. The programs enable readers, especially advanced-undergraduate students in physics, engineering, and math, to tackle relevant physical systems quickly on their PCs, without distraction from algorithmic details. For the third edition of Chaos: A Program Collection for the PC, each of the previous twelve programs is polished and rewritten in C++ (both Windows and Linux versions are included). A new program treats kicked systems, an important class of two-dimensional problems, which is introduced in Chapter 13. Each chapter follows the structure: theoretical background; numerical techniques; interaction with the program; computer experiments; real experiments and empirical evidence; reference. Interacting with the many numerical experiments have proven to help readers to become familiar with this fascinating topic and even to enjoy the experience.
This new edition strives yet again to provide readers with a working knowledge of chaos theory and dynamical systems through parallel introductory explanations in the book and interaction with carefully-selected programs supplied on the accompanying diskette. The programs enable readers, especially advanced-undergraduate students in physics, engineering, and math, to tackle relevant physical systems quickly on their PCs, without distraction from algorithmic details. For the third edition of Chaos: A Program Collection for the PC, each of the previous twelve programs is polished and rewritten in C++ (both Windows and Linux versions are included). A new program treats kicked systems, an important class of two-dimensional problems, which is introduced in Chapter 13. Each chapter follows the structure: theoretical background; numerical techniques; interaction with the program; computer experiments; real experiments and empirical evidence; reference. Interacting with the many numerical experiments have proven to help readers to become familiar with this fascinating topic and even to enjoy the experience.
Content:
Front Matter....Pages I-XV
Overview and Basic Concepts....Pages 1-10
Nonlinear Dynamics and Deterministic Chaos....Pages 11-46
Billiard Systems....Pages 47-68
Gravitational Billiards: The Wedge....Pages 69-90
The Double Pendulum....Pages 91-113
Chaotic Scattering....Pages 115-136
Fermi Acceleration....Pages 137-156
The Duffing Oscillator....Pages 157-184
Feigenbaum Scenario....Pages 185-210
Nonlinear Electronic Circuits....Pages 211-230
Mandelbrot and Julia Sets....Pages 231-254
Ordinary Differential Equations....Pages 255-300
Kicked Systems....Pages 301-317
Back Matter....Pages 319-341
This new edition strives yet again to provide readers with a working knowledge of chaos theory and dynamical systems through parallel introductory explanations in the book and interaction with carefully-selected programs supplied on the accompanying diskette. The programs enable readers, especially advanced-undergraduate students in physics, engineering, and math, to tackle relevant physical systems quickly on their PCs, without distraction from algorithmic details. For the third edition of Chaos: A Program Collection for the PC, each of the previous twelve programs is polished and rewritten in C++ (both Windows and Linux versions are included). A new program treats kicked systems, an important class of two-dimensional problems, which is introduced in Chapter 13. Each chapter follows the structure: theoretical background; numerical techniques; interaction with the program; computer experiments; real experiments and empirical evidence; reference. Interacting with the many numerical experiments have proven to help readers to become familiar with this fascinating topic and even to enjoy the experience.
Content:
Front Matter....Pages I-XV
Overview and Basic Concepts....Pages 1-10
Nonlinear Dynamics and Deterministic Chaos....Pages 11-46
Billiard Systems....Pages 47-68
Gravitational Billiards: The Wedge....Pages 69-90
The Double Pendulum....Pages 91-113
Chaotic Scattering....Pages 115-136
Fermi Acceleration....Pages 137-156
The Duffing Oscillator....Pages 157-184
Feigenbaum Scenario....Pages 185-210
Nonlinear Electronic Circuits....Pages 211-230
Mandelbrot and Julia Sets....Pages 231-254
Ordinary Differential Equations....Pages 255-300
Kicked Systems....Pages 301-317
Back Matter....Pages 319-341
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