Applications of symbolically computed Lyapunov-Floquet transformation
by Susheelkumar Cherangara Subramanian; Sandesh Ganapati Bhat; Sangram Redkar
International Journal of Nonlinear Dynamics and Control (IJNDC), Vol. 2, No. 2, 2022

Abstract: This work demonstrates various applications of symbolically computed Lyapunov-Floquet (L-F) transformation towards the analysis of the linear and nonlinear time-periodic systems. In this work, we compute the closed-form expression for L-F transformation with the aid of an intuitive state augmentation and time independent normal forms technique. The main objective of this work is to validate the use of symbolically computed L-F transformation towards the analysis of externally excited, stochastically excited and nonlinear dynamical system with time-periodic coefficients. The computation of the closed-form expression for L-F transformation and its inverse are demonstrated on a simple case of Mathieu equation and compared with the existing techniques. For the externally excited and nonlinear systems, multiple approaches are discussed for the case of an undamped Mathieu equation. Additionally, the analysis of time periodic system with uncertain time varying parameters is demonstrated using the Infante's approach on a damped Mathieu equation.

Online publication date: Mon, 18-Jul-2022

The full text of this article is only available to individual subscribers or to users at subscribing institutions.

 
Existing subscribers:
Go to Inderscience Online Journals to access the Full Text of this article.

Pay per view:
If you are not a subscriber and you just want to read the full contents of this article, buy online access here.

Complimentary Subscribers, Editors or Members of the Editorial Board of the International Journal of Nonlinear Dynamics and Control (IJNDC):
Login with your Inderscience username and password:

Username:        Password:          Forgotten your password?

Want to subscribe?
A subscription gives you complete access to all articles in the current issue, as well as to all articles in the previous three years (where applicable). See our Orders page to subscribe.

If you still need assistance, please email subs@inderscience.com