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portada Oscillators and Oscillatory Signals from Smooth to Discontinuous: Geometrical, Algebraic, and Physical Nature
Type
Physical Book
Author
Publisher
Language
English
Pages
456
Format
Hardcover
Dimensions
23.8 x 15.8 x 2.8 cm
Weight
0.95 kg.
ISBN13
9783031377877
Edition No.
0002
Categories

Oscillators and Oscillatory Signals from Smooth to Discontinuous: Geometrical, Algebraic, and Physical Nature

Valery N. Pilipchuk (Author) · Springer · Hardcover

Oscillators and Oscillatory Signals from Smooth to Discontinuous: Geometrical, Algebraic, and Physical Nature - Pilipchuk, Valery N.

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Synopsis "Oscillators and Oscillatory Signals from Smooth to Discontinuous: Geometrical, Algebraic, and Physical Nature"

This updated and enriched new edition maintains its complementarity principle in which the subgroup of rotations, harmonic oscillators, and the conventional complex analysis generate linear and weakly nonlinear approaches, whereas translations and reflections, impact oscillators, and hyperbolic Clifford's algebras, give rise to the essentially nonlinear "quasi-impact" methodology based on the idea of non-smooth temporal substitutions. In the years since "Nonlinear Dynamics: Between Linear and Impact Limits," the previous edition of this book, was published, due to a widening area of applications, a deeper insight into the matter has emerged leading to the rudimentary algebraic view on the very existence of the complementary smooth and non-smooth base systems as those associated with two different signs of the algebraic equation j2 = 1. This edition further includes an overview of applications found in the literature after the publication of first edition, and new physical examples illustrating both theoretical statements and constructive analytical tools.

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