Nonlinear Physics for Beginners: Fractals, Chaos, Solitons, Pattern Formation, Cellular Automata, Complex Systems

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World Scientific, 1998 - Science - 338 pages
2 Reviews
Almost all real systems are nonlinear. For a nonlinear system the superposition principle breaks down: The system's response is not proportional to the stimulus it receives; the whole is more than the sum of its parts. The three parts of this book contains the basics of nonlinear science, with applications in physics. Part I contains an overview of fractals, chaos, solitons, pattern formation, cellular automata and complex systems. In Part II, 14 reviews and essays by pioneers, as well as 10 research articles are reprinted. Part III collects 17 students projects, with computer algorithms for s.
  

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Contents

The Ground Has Shifted
1
Chaos
17
Solitons
23
Cellular Automata
35
Remarks and Further Reading
43
Fractals
51
Chaos
92
Solitons
147
Pattern Formation
159
Cellular Automata and Complex Systems
193
PROJECTS
226
Theoretical
291
Experimental
301
The Real World
319
Acknowledgments
333
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