Oscillators and Oscillatory Signals from Smooth to Discontinuous: Geometrical, Algebraic, and Physical Nature
暫譯: 從平滑到不連續的振盪器與振盪信號:幾何、代數與物理特性

Pilipchuk, Valery N.

  • 出版商: Springer
  • 出版日期: 2024-09-25
  • 售價: $6,490
  • 貴賓價: 9.5$6,166
  • 語言: 英文
  • 頁數: 456
  • 裝訂: Quality Paper - also called trade paper
  • ISBN: 3031377907
  • ISBN-13: 9783031377907
  • 海外代購書籍(需單獨結帳)

商品描述

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.


商品描述(中文翻譯)

這個更新和豐富的新版本維持了其互補性原則,其中旋轉子群、諧波振盪器和傳統的複分析生成線性和弱非線性的方法,而平移和反射、衝擊振盪器以及雙曲Clifford代數則產生基於非光滑時間替代概念的本質非線性「準衝擊」方法。自從《非線性動力學:線性與衝擊極限之間》這本書的前一版出版以來,由於應用範圍的擴大,對於該問題的深入見解已經出現,導致對互補光滑和非光滑基系統存在的基本代數觀點,這些系統與代數方程 j2 = 1 的兩個不同符號相關。本版還包括了自第一版出版以來文獻中發現的應用概述,以及新的物理範例,這些範例說明了理論陳述和建設性分析工具。

作者簡介

Dr. Valery N. Pilipchuk is Associate professor of Mechanical Engineering at Wayne State University, Detroit, Michigan, USA.


作者簡介(中文翻譯)

瓦列里·N·皮利普丘克博士是美國密西根州底特律韋恩州立大學的機械工程副教授。