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Description of  Oscillators and Oscillatory Signals from Smooth to Discontinuous: Geometrical, Algebraic, and Physical Nature Ed 2

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 Cliffords 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 Read more