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Start Over Descriptor "*DELAY differential equations" Topic bifurcation theory Topic stability Publication Year Range Last 10 years Journal international journal of bifurcation & chaos in applied sciences & engineering

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1 results on '"*DELAY differential equations"'

1. Numerical Dynamics of Nonstandard Finite Difference Method for Nonlinear Delay Differential Equation.

Author

Zhuang, Xiaolan, Wang, Qi, and Wen, Jiechang

Subjects
*NONSTANDARD mathematical analysis, *DELAY differential equations, *FINITE difference method, *COMPUTER simulation, *BIFURCATION theory
Abstract

In this paper, we study the dynamics of a nonlinear delay differential equation applied in a nonstandard finite difference method. By analyzing the numerical discrete system, we show that a sequence of Neimark–Sacker bifurcations occur at the equilibrium as the delay increases. Moreover, the existence of local Neimark–Sacker bifurcations is considered, and the direction and stability of periodic solutions bifurcating from the Neimark–Sacker bifurcation of the discrete model are determined by the Neimark–Sacker bifurcation theory of discrete system. Finally, some numerical simulations are adopted to illustrate the corresponding theoretical results. [ABSTRACT FROM AUTHOR]

Published
2018
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