دیدگاه دینامیک غیر خطی Wolfram در نوع جدیدی از علوم: (دوره سوم) (سری علمی دنیا در علوم غیر خطی سری) (جهان علمی... علم سری رساله و تصحیحی) A Nonlinear Dynamics Perspective of WolframÂ’s New Kind of Science: (Volume III) (World Scientific Series on Nonlinear Science, Series a) (World Scientific ... Science, Series a Monographs and Treatises)
- نوع فایل : کتاب
- زبان : انگلیسی
- نویسنده : Leon O. Chua
- ناشر : World Scientific Publishing Company
- چاپ و سال / کشور: 2009
- شابک / ISBN : 9812837930, 9789812837936
Description
Volume III continues the author's quest for developing a pedagogical, self-contained, yet rigorous analytical theory of 1-D cellular automata via a nonlinear dynamics perspective. Using carefully conceived and illuminating color graphics, the global dynamical behaviors of the 50 (out of 256) local rules that have not yet been covered in Volumes I and II are exposed via their stunningly revealing basin tree diagrams. The Bernoulli -shift dynamics discovered in Volume II is generalized to hold for all 50 (or 18 globally equivalent) local rules via complex and hyper Bernoulli wave dynamics. Explicit global state transition formulas derived for rules 60, 90, 105, and 150 reveal a new scale-free phenomenon. The most surprising new result unveiled in this volume is the Isle of Eden found hidden in most (almost 90%) of the 256 local rules. Readers are challenged to hunt for long-period, isolated Isles of Eden. These are rare gems waiting to be discovered.
