$Domain Structured Dynamics : Unpredictability, chaos, randomness, fractals, differential equations and neural networks - Professor Marat Akhmet$

Domain Structured Dynamics

Unpredictability, chaos, randomness, fractals, differential equations and neural networks

By: Professor Marat Akhmet

Write A Review

Hardcover | 4 August 2021

At a Glance

Hardcover
204 Pages

Dimensions(cm)
25.4 x 17.78 x 1.27

Hardcover

$253.00

or 4 interest-free payments of $63.25 with

or

Ships in 5 to 7 business days

Domain structured dynamics introduces a way for analysis of chaos in fractals, neural networks and random processes. It starts with newly invented abstract similarity sets and maps, which are in the basis of the abstract similarity dynamics. Then a labeling procedure is designed to determine the domain structured dynamics. The results follow the Pythagorean doctrine, considering finite number of indices for the labeling, with potential to become universal in future. The immediate power of the approach for fractals as domains of chaos, revisited famous deterministic and stochastic models, new types of differential equations and neural networks is seen in the book. This is not considered through widening areas, where the notions can be seen and recognized, but by deepening abstraction.

Key Features

Provides the abstract similarity map, which generalizes the Bernoulli shift for abstract self-similar sets.

Discusses dynamically generated self-similar sets as a method of chaos generation.

Introduces abstract fractals as sets of metric spaces on the basis of abstract similar sets.

Presents fractals concepts discussed through the newly introduced notions.

Shipping

	Standard Shipping	Express Shipping
Metro postcodes:	$9.99	$14.95
Regional postcodes:	$9.99	$14.95
Rural postcodes:	$9.99	$14.95

Orders over $89.00 qualify for free shipping.

How to return your order

At Booktopia, we offer hassle-free returns in accordance with our returns policy. If you wish to return an item, please get in touch with Booktopia Customer Care.

Additional postage charges may be applicable.