Authors: Sai Venkatesh Balasubramanian
The present paper pertains to the formulation and generation of a signal based frequency controlled chaos based on the Heart Curves, an assortment of parametric functions so named due to their ability to generate cardoid (heart-shaped) curves. Specifically, the variable in two parametric functions is taken as an additively coupled sum of sinusoids with competing frequencies. By adapting the x and y components of these functions into signals, the time derivatives are computed and used to form the iterative maps and phase portraits. It is seen that the four phase portraits display to varying degrees, ornamental patterns, characteristic of quasiperiodicity and chaos. Using these, bifurcation diagrams are plotted in order to investigate the chaotic behavior. It is seen that the nature of chaos in the generated signals depend on the frequency ratio of the driving signals, thus pertaining to a case of signal based chaos, which has the key advantage of easy tunability, forming the novelty of the present work.
Comments: 6 Pages.
[v1] 2015-10-26 08:34:31
Unique-IP document downloads: 79 times
Vixra.org is a pre-print repository rather than a journal. Articles hosted may not yet have been verified by peer-review and should be treated as preliminary. In particular, anything that appears to include financial or legal advice or proposed medical treatments should be treated with due caution. Vixra.org will not be responsible for any consequences of actions that result from any form of use of any documents on this website.
Add your own feedback and questions here:
You are equally welcome to be positive or negative about any paper but please be polite. If you are being critical you must mention at least one specific error, otherwise your comment will be deleted as unhelpful.