The new iterative method (NIM), proposed first by Gejji and Jafari [10], has proven useful for solving a variety of nonlinear equations such as algebraic equations, integral equations, ordinary and partial differential equations of integer, and fractional order and systems of equations as well.
We show that every solution of the following system of difference equations, as well as of the system, is periodic with period 2 if ( 2), and with period if ( 2) where the initial values are nonzero real numbers for.
In recent years, several papers have been published on the mathematical models of biology that discuss the system of difference equations generated from the associated system of differential equations as well as the associated numerical methods [3, 4].
In recent years, many papers have been published on the mathematical models of biology that discussed the system of difference equations generated from the associated system of differential equations as well as the associated numerical methods.
To do so, we first describe the behavior of the HR system (Equations 4a-4c) as it transitions from spiking to bursting dynamics, and show that this occurs near a torus bifurcation of the full system (Section 3.1).
To study the local stability of the interior equilibrium (hat{E}=(hat{P}, hat{M}, hat{I})) for the delay system, first we use linear transformation in the system equations (1 - 3) as (P=P_{1}+hat{P}), (M=M_{1}+hat{M}), and (I=I_{1}+hat{I}), where (P_{1}ll 1), (M_{1}ll 1), (I_{1}ll 1}ll
Here, we focus on system (Equations 6a-6c) an an example of circle/fold cycle bursting, in which the active phase of the burst initiates in a saddle-node bifurcation on an invariant circle (i.e., SNIC) and terminates in a fold of limit cycles.
Our target is to obtain a lower bound for the stability radius of variational systems of difference equations as well as to determine the largest class of Banach sequence spaces within the robustness properties hold.
One of the important steps in this project is the study of explicit and implicit time integration schemes for the stiff system of ordinary differential equations, as well as implementations of these schemes on HPC systems.
The proposed power injection model keeps original symmetry of the impedance matrix as well as system equations which facilitates power flow calculations.
