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portada Oscillators and Oscillatory Signals from Smooth to Discontinuous. Geometrical, Algebraic, and Physical Nature
Formato
Libro Físico
Año
2024
N° páginas
456
Encuadernación
Tapa Blanda
Dimensiones
23.5x15.5 cm
ISBN13
9783031377907

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

Valery N. Pilipchuk (Autor) · Springer International Publishing AG · Tapa Blanda

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

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Reseña del libro "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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