Stability analysis in a neutral nonlinear differential equations with two delays

2010 ◽  
Author(s):  
Xiaohua Bi ◽  
Zhichao Jiang
Keyword(s):  
Stability Analysis ◽  
Differential Equations ◽  
Nonlinear Differential Equations ◽  
Two Delays

Deterministic Stability Analysis of a Wind Loaded Structure

1978 ◽  
Vol 45 (1) ◽  
pp. 165-169 ◽  
Author(s):  
P. J. Holmes ◽  
Y. K. Lin
Keyword(s):  
Stability Analysis ◽  
Differential Equations ◽  
Nonlinear Differential Equations ◽  
Wind Loading ◽  
Qualitative Behavior ◽  
Stability Boundaries ◽  
Quantitative Estimates ◽  
Loading Problem ◽  
Loaded Structure ◽  
Excitation Conditions

We discuss the qualitative behavior of a pair of nonlinear differential equations arising in the study of a wind loading problem when turbulence terms are ignored. We obtain quantitative estimates of stability boundaries and are able to identify the most dangerous excitation conditions. This deterministic study provides the basis for further work on the full stochastic differential equations resulting when turbulence terms are included.

scholarly journals Stability Analysis and Numerical Solutions of a Competition Model with the Effects of Distribution Parameters

2019 ◽  
Vol 43 (1) ◽  
pp. 95-106
Author(s):  
Md Kamrujjaman ◽  
Sadia Akter Lima ◽  
Sonia Akter ◽  
Tanzila Eva
Keyword(s):  
Mathematical Biology ◽  
Stability Analysis ◽  
Differential Equations ◽  
Ordinary Differential Equations ◽  
Numerical Solutions ◽  
Nonlinear Differential Equations ◽  
Population Models ◽  
Distribution Parameters ◽  
Academy Of Sciences ◽  
Linearization Techniques

A system of two nonlinear differential equations in mathematical biology is considered. These models are originally stimulated by population models in biology when solutions are required to be non-negative, but the ordinary differential equations can be understood outside of this conventional scope of population models. The focus of this paper is on the use of linearization techniques, and Hartman Grobman theory to analyze nonlinear differential equations. We provide stability analysis and numerical solutions for these models that describe behaviors of solutions based only on the parameters used in the formulation of the systems. Journal of Bangladesh Academy of Sciences, Vol. 43, No. 1, 95-106, 2019

Jacobi stability analysis of modified Chua circuit system

2017 ◽  
Vol 14 (06) ◽  
pp. 1750089 ◽  
Author(s):  
M. K. Gupta ◽  
C. K. Yadav
Keyword(s):  
Nonlinear Dynamics ◽  
Stability Analysis ◽  
Differential Equations ◽  
Nonlinear Differential Equations ◽  
Equilibrium Points ◽  
Second Order ◽  
Geometric Properties ◽  
Chua Circuit ◽  
The Stability ◽  
Deviation Vector

In this paper, we analyze the nonlinear dynamics of the modified Chua circuit system from the viewpoint of Kosambi–Cartan–Chern (KCC) theory. We reformulate the modified Chua circuit system as a set of two second-order nonlinear differential equations and obtain five KCC-invariants which express the intrinsic geometric properties. The deviation tensor and its eigenvalues are obtained, that determine the stability of the system. We also obtain the condition for Jacobi stability and discuss the behavior of deviation vector near equilibrium points.

Application of the exp(-φ)-expansion method to the Pochhammer-Chree equation

Filomat ◽  
2018 ◽  
Vol 32 (9) ◽  
pp. 3347-3354 ◽  
Author(s):  
Nematollah Kadkhoda ◽  
Michal Feckan ◽  
Yasser Khalili
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Exact Solutions ◽  
Present Article ◽  
Analytical Solutions ◽  
Nonlinear Differential Equations ◽  
Nonlinear Partial Differential Equations ◽  
Rational Functions ◽  
Expansion Method ◽  
Exponential Functions

In the present article, a direct approach, namely exp(-?)-expansion method, is used for obtaining analytical solutions of the Pochhammer-Chree equations which have a many of models. These solutions are expressed in exponential functions expressed by hyperbolic, trigonometric and rational functions with some parameters. Recently, many methods were attempted to find exact solutions of nonlinear partial differential equations, but it seems that the exp(-?)-expansion method appears to be efficient for finding exact solutions of many nonlinear differential equations.

scholarly journals Solving nonlinear differential equations with differentiable quantum circuits

2021 ◽  
Vol 103 (5) ◽  
Author(s):  
Oleksandr Kyriienko ◽  
Annie E. Paine ◽  
Vincent E. Elfving
Keyword(s):  
Differential Equations ◽  
Nonlinear Differential Equations ◽  
Quantum Circuits
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