Indian Journal of Industrial and Applied Mathematics
  • Year: 2018
  • Volume: 9
  • Issue: 2

Asymptotic Stability Analysis Applied to Price Dynamics

  • Author:
  • L. M. Saha1,, M. K. Das2,, Rashmi Bhardwaj3,
  • Total Page Count: 10
  • Published Online: Dec 1, 2018
  • Page Number: 186 to 195

1IIIMIT, Shiv Nadar University, Village Chithera, Tehsil Dadri, Gautambudh Nagar, U.P. 201314

2Institute of Informatics & Communication, University of Delhi South Campus, Benito Juarez Road, New Delhi, 110021

3University School of Basic & Applied Sciences, Non Linear Dynamics Research Lab, Guru Gobind Singh Indraprastha University, Dwarka, New Delhi-11007

*(Corresponding author) E-mail: lmsaha.msf@gmail.com

**das mkd@yahoo.com

***rashmib22@gmail.com

Abstract

Chaotic evolutions in a dynamical system are subject to initial conditions as well as the set of parameter values incorporating the system. Numerous techniques have been applied to control chaotic evolutions in various systems and, to certain degree of satisfaction, some significant results have also been obtained. The application of the technique of asymptotic stability analysis can be considered as one of the most practical ways to control chaos by stabilizing a unstable fixed point. This technique has been used here to control chaotic fluctuations in a speculative price model. Proper numerical simulations have been done to visualize the bifurcation diagram of the system and to obtain measurable quantities like Lyapunov exponents and topological entropies

Keywords

Chaos, Bifurcations, Lyapunov exponents, topological entropies