Nonlinear Dynamical Systems with Self-Excited and Hidden Attractors by Viet-Thanh Pham Sundarapandian Vaidyanathan Christos Volos & Tomasz Kapitaniak

Author:Viet-Thanh Pham, Sundarapandian Vaidyanathan, Christos Volos & Tomasz Kapitaniak
Language: eng
Format: epub
Publisher: Springer International Publishing, Cham

Now we put

Since K and R are real

For the continuous system as , first we write the continuity equation which gives us

(13)

and R being the same as before. Now we do the Fourier expansion, take the same ansatz and check for the coefficients of , which gives us

We again consider the Lorentzian distribution for where we put and and repeat the same process, after which we get

Considering , we can simplify this into two equations

(14)

(15)

This can be solved with the system being depended on the parameters (Childs and Strogatz 2008).

Download

Copyright Disclaimer:
This site does not store any files on its server. We only index and link to content provided by other sites. Please contact the content providers to delete copyright contents if any and email us, we'll remove relevant links or contents immediately.