A Smooth and Discontinuous Oscillator Theory, Methodology and Applications /

• Main Authors: Cao, Qingjie (Author), Léger, Alain (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2017.
• Series: Springer Tracts in Mechanical Engineering,
• Subjects: Engineering.; Mathematical models.; Vibration.; Dynamical systems.; Dynamics.; Vibration, Dynamical Systems, Control.; Applications of Nonlinear Dynamics and Chaos Theory.; Classical Mechanics.; Mathematical Modeling and Industrial Mathematics.

This is the first book to introduce the irrational elliptic function series, providing a theoretical treatment for the smooth and discontinuous system and opening a new branch of applied mathematics. The discovery of the smooth and discontinuous (SD) oscillator and the SD attractors discussed in thi...

Table of Contents:

• Background: Nonlinear Systems
• An Smooth and Discontinuous (SD) Oscillator
• Bifurcation Behaviour
• Periodic Motions of the Perturbed SD Oscillator
• The Exact Solutions
• Chaotic Motions of the SD Oscillator
• Experimental Investigation of the SD Oscillator
• Applications in Structural Dynamics
• Applications in Engineering Isolation
• Challenges and the Open Problems.