On a fractional order nonlinear dynamic model of a triadic relationship
Journal Title: JOURNAL OF ADVANCES IN MATHEMATICS - Year 2014, Vol 5, Issue 3
Abstract
In this paper, a fractional order nonlinear dynamic model of involving three person is introduced. The proposed model describes the dynamic behavior of an interrelation of three person under different structures. Stability analysis of the fractional-order nonlinear dynamic model of involving three person is studied using the fractional Routh-Hurwitz criteria. By using stability analysis on fractional order system, we obtain sufficient condition on the parameters for the locally asymptotically stable of equilibrium points. Finally, our results are validated by numerical simulations.
Authors and Affiliations
Ilknur Koca, Nuri Ozalp
Keywords
Related Articles
- EP ID EP651299
- DOI 10.24297/jam.v5i3.3693
- Views 162
- Downloads 0
On Suprememum of a set in A Dedikind Complete Topological Space
The supremum for a set in a multi-dimensional, Dedikind complete topological space is defined. The example is given to illustrate that the condition of Dedilind complete is necessary for the existence of supremum.
Approximation of General Form for a Sequence of Linear Positive Operators Based on Four Parameters
In the present paper, we define a generalization sequence of linear positive operators based on four parameters which is reduce to many other sequences of summation–integral older type operators of any weight function (B...
Prime ideals and Godel ideals of BL-algebras
In this paper we give further properties of ideals of a BL-algebra. The concepts of prime ideals, irreducible ideals and Godel ideals are introduced. We prove that the concept of prime ideals coincides with one of irredu...
Debt Management and the Developing Nationts Economy: A Stochastic Optimal Control Analysis
This paper explores the usefulness of a stochastic optimal control analysis to discourage the less developed nations from borrowing funds from the more developed ones to service their investments (or worst still to servi...
Markov Stochastic Processes in Biology and Mathematics -- the Same, and yet Different
Virtually every biological model utilising a random number generator is a Markov stochastic process. Numerical simulations of such processes are performed using stochastic or intensity matrices or kernels. Biologists, ho...