Tag: Oscillators

Free Download Strongly Nonlinear Oscillators: Analytical Solutions by Livija Cveticanin
English | PDF (True) | 2014 | 241 Pages | ISBN : 3319052713 | 6.4 MB
This book provides the presentation of the motion of pure nonlinear oscillatory systems and various solution procedures which give the approximate solutions of the strong nonlinear oscillator equations. The book presents the original author’s method for the analytical solution procedure of the pure nonlinear oscillator system. After an introduction, the physical explanation of the pure nonlinearity and of the pure nonlinear oscillator is given. The analytical solution for free and forced vibrations of the one-degree-of-freedom strong nonlinear system with constant and time variable parameter is considered. Special attention is given to the one and two mass oscillatory systems with two-degrees-of-freedom. The criteria for the deterministic chaos in ideal and non-ideal pure nonlinear oscillators are derived analytically. The method for suppressing chaos is developed. Important problems are discussed in didactic exercises. The book is self-consistent and suitable as a textbook for students and also for professionals and engineers who apply these techniques to the field of nonlinear oscillations.

Free Download Oscillators and Oscillatory Signals from Smooth to Discontinuous: Geometrical, Algebraic, and Physical Nature
English | 2023 | ISBN: 3031377877 | 461 Pages | PDF (True) | 19 MB
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.

Free Download Topics in LC Oscillators: Principles, Phase Noise, Pulling, Inductor Design
English | 2023 | ISBN: 3031310853 | 297 Pages | PDF EPUB (True) | 18 MB
This book introduces an intuitive, self-sustained oscillator model and applies it to describe some of the most critical performance metrics of LC oscillators, such as phase noise, entrainment, and pulling. It also covers the related topics of magnetic coupling and inductor design. The author emphasizes the basic principles and illuminates them with approximate calculations, adopting a design-oriented approach that imparts intuition and complements simulations. This book constitutes a novel and fresh perspective on the subject and can be helpful to electrical engineering students and practicing engineers. It also serves as a bridge between the mathematical treatises of the subject and the more practical circuit-oriented approaches.