1Research Scholar, University School of Basic and Applied Science, Non-linear Dynamics Research Lab, Guru Gobind Singh Indraprastha University, Dwarka, New Delhi, India
2Professor, University School of Basic and Applied Science, Non-linear Dynamics Research Lab, Guru Gobind Singh Indraprastha University, Dwarka, New Delhi, India
*Corresponding Author E-mail Ids: rashmib22@gmail.com; nonlineardynamicsrl rb@ipu.ac.in
This paper discusses the role of investment on dynamics of micro-economic in nonlinear financial model with distributed time delay feedback and effect of delay on the dynamics of micro-economic in nonlinear financial model with distributed time delay feedback. The interest rate, investment demand and price index are modelled with the help of saving amount, cost per investment, demand elasticity of commercial markets and the strength of feedback. All these parameters are considered as positive. Using bifurcation theory, bifurcation point and time period are studied for the financial system with distributed time delay feedback. Through numerical methods, it is observed that the value of time bifurcation with time delay feedback in investment increases as investment demand increases, further the time bifurcation increases with the investment demand parameter and strength of time delay feedback in investment demand. It is concluded that the bifurcation analysis depends on the value of investment demand and also on the strength of time delay feedback parameter.
Nonlinear financial system, Distributed time delay, Hopf bifurcation, Bifurcation periodic, Time bifurcation
