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The principle of dimensional reduction.

The principle of dimensional reduction.

Paperback

General Mathematics

ISBN10: 3838202090
ISBN13: 9783838202099
Publisher: Ibidem Pr
Published: Nov 1 2010
Pages: 154
Weight: 0.42
Height: 0.33 Width: 5.83 Depth: 8.27
Language: English
The reduction principle is a common idea which states that while researching the stability of solutions of the dynamic system (the system of differential, difference, differential-difference equations) the order of the researched system can be decreased. As the main obstacle in researching a dynamic system is a big dimension of the system, decreasing the order significantly simplifies the stability of the research process.This work contains some ways of decreasing the system order. The author aimed to keep the details to a minimum, to facilitate a better understanding of the main ideas, and the rigor of explanations is replaced by examples and references to the original works.The project Modern Mathematics for Engineers is addressed to upper-course University students in Mathematics specialties, to graduate students and to researchers who apply Mathematics in different spheres.

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General Mathematics