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Name: stability in aviation-an introduction to dynamical stability 1911
Format: pdf
Size: 9.3 MB

Title: Stability in aviation : an introduction to dynamical stability as applied to the motions of aeroplanes
Author: Bryan, George Hartley, 1864-1928
Language: polski
Year: 2022
Subjects: Science & Technology, Mathematics, Mathematical Analysis, Mathematical Analysis - General & Miscellaneous
Publisher: Springer International Publishing
ISBN: 9783031120312
Total pages: 212

This monograph presents new insights into the perturbation theory of dynamical systems based on the Gromov-Hausdorff distance. In the first part, the authors introduce the notion of Gromov-Hausdorff distance between compact metric spaces, along with the corresponding distance for continuous maps, flows, and group actions on these spaces. They also focus on the stability of certain dynamical objects like shifts, global attractors, and inertial manifolds. Applications to dissipative PDEs, such as the reaction-diffusion and Chafee-Infante equations, are explored in the second part. This text will be of interest to graduates students and researchers working in the areas of topological dynamics and PDEs.