Nonlinear Resonances
暫譯: 非線性共振
Rajasekar, Shanmuganathan, Sanjuan, Miguel A. F.
- 出版商: Springer
- 出版日期: 2019-03-30
- 售價: $5,260
- 貴賓價: 9.5 折 $4,997
- 語言: 英文
- 頁數: 409
- 裝訂: Quality Paper - also called trade paper
- ISBN: 3319796933
- ISBN-13: 9783319796932
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相關主題
商品描述
This introductory text presents the basic aspects and most important features of various types of resonances and anti-resonances in dynamical systems. In particular, for each resonance, it covers the theoretical concepts, illustrates them with case studies, and reviews the available information on mechanisms, characterization, numerical simulations, experimental realizations, possible quantum analogues, applications and significant advances made over the years.
Resonances are one of the most fundamental phenomena exhibited by nonlinear systems and refer to specific realizations of maximum response of a system due to the ability of that system to store and transfer energy received from an external forcing source. Resonances are of particular importance in physical, engineering and biological systems - they can prove to be advantageous in many applications, while leading to instability and even disasters in others.
The book is self-contained, providing the details of mathematical derivations and techniques involved in numerical simulations. Though primarily intended for graduate students, it can also be considered a reference book for any researcher interested in the dynamics of resonant phenomena.
商品描述(中文翻譯)
這本入門書介紹了動態系統中各類共振和反共振的基本方面及最重要特徵。特別是，對於每種共振，它涵蓋了理論概念，通過案例研究進行說明，並回顧了有關機制、特徵化、數值模擬、實驗實現、可能的量子類比、應用及多年來取得的重要進展的可用資訊。
共振是非線性系統所表現出的最基本現象之一，指的是系統因能夠儲存和轉移來自外部強迫源的能量而產生的最大響應的特定實現。共振在物理、工程和生物系統中具有特別重要的意義——在許多應用中，它們可以帶來優勢，而在其他情況下則可能導致不穩定甚至災難。
本書是自足的，提供了數學推導和數值模擬中涉及的技術的詳細資訊。雖然主要針對研究生，但對於任何對共振現象動力學感興趣的研究者來說，也可以視為參考書籍。
作者簡介
Miguel Sanjuan is full professor of physics at the Universidad Rey Juan Carlos in Madrid, Spain, where he founded the Physics Department in 2006. He is a corresponding member of the Spanish Royal Academy of Sciences, section physics and chemistry, and a foreign member of the Lithuanian Academy of Sciences in the areas of physics and mechanical engineering. Prof. Sanjuan is presently the head of the Nonlinear Dynamics, Chaos and Complex Systems Research Group at the Universidad Rey Juan Carlos.
Shanmuganathan Rajasekar is full professor at the School of Physics, Bharathidasan University, India. He received the Ph.D. degree in Physics (Nonlinear Dynamics) in 1992 under the supervision of Prof. M. Lakshmanan with whom, he co-authored the Springer textbook Nonlinear Dynamics: Integrability, Chaos and Patterns. His recent research focuses on nonlinear dynamics with a special emphasis on nonlinear resonances.
作者簡介(中文翻譯)
Miguel Sanjuan 是西班牙馬德里雷伊胡安卡洛斯大學的物理學全職教授，並於2006年創立了物理系。他是西班牙皇家科學院的對應會員，屬於物理和化學部門，並且是立陶宛科學院的外籍會員，專注於物理和機械工程領域。Sanjuan 教授目前是雷伊胡安卡洛斯大學非線性動力學、混沌與複雜系統研究小組的負責人。
Shanmuganathan Rajasekar 是印度巴拉提達山大學物理學院的全職教授。他於1992年在 M. Lakshmanan 教授的指導下獲得非線性動力學的物理學博士學位，並與他共同撰寫了 Springer 出版的教科書《Nonlinear Dynamics: Integrability, Chaos and Patterns》。他最近的研究專注於非線性動力學，特別強調非線性共振。
