Elements of the theory of discrete dynamic systems: Textbook
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This training manual discusses issues related to the study of elements of the theory of discrete dynamic systems - an important section of modern mathematics. This discipline is a component of the mathematical foundations of the synergetic that is in various fields of knowledge. The manual considers the construction of the attractions of non -linear display in various environments, provides evidence of the randomness of the modified transformation of the baker and the shift of Bernoulli. The algorithm for constructing the Feigenbaum tree for analogues of the logistics function has been set out and the Feigenbaum constant functions are calculated. The dimensions of the self -likeness of some attractions are calculated and the modified transformation of ENO was investigated. The algorithms for constructing the sets of Julia Polynomas and rational functions are indicated. A special place is given to the construction of the sets of Julia Polynomov Chebyshev. The textbook includes different levels of complexity numerous tasks that allow more deeply to learn the material presented in the manual. The last section of the book indicates a multi-stage mathematical and information task “Discrete Dynamic Systems”, dedicated to step-by-step study of discipline and aimed at developing the creativity and competence of students. This manual is addressed to bachelors, master, graduate students studying in the areas of training and specialties included in the UGS: Mathematics and Mechanics, Computer and Information Sciences, Physics and Astronomy, Applied Mathematics and Informatics. The manual will also be useful to specialists in the field of non -linear dynamics, teachers of mathematics and computer science, as well as teachers of mathematics and computer science, secondary school students with in -depth study of mathematics
Author:
Author:Sokovanov V.S.
Cover:
Cover:Hard
Category:
- Category:Business & Money
- Category:Science & Math
Series:
Series: Textbooks for universities. Special literature
ISBN:
ISBN:978-5-8114-2429-0
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