[HTML][HTML] Stability analysis of damped cubic-quintic Duffing oscillator
MO Oyesanya, JI Nwamba - 2013 - scirp.org
This paper presents a comprehensive stability analysis of the dynamics of the damped cubic-
quintic Duffing oscillator. We employ the derivative expansion method to investigate the …
quintic Duffing oscillator. We employ the derivative expansion method to investigate the …
[HTML][HTML] Stability Analysis of Periodic Solutions of Some Duffing's Equations
EO Eze, UE Obasi, EU Agwu - Open Journal of Applied Sciences, 2019 - scirp.org
In this paper, some stability results were reviewed. A suitable and complete Lyapunov
function for the hard spring model was constructed using the Cartwright method. This …
function for the hard spring model was constructed using the Cartwright method. This …
Chaos analysis in the un-perturbed system for Quintic Duffing equation
In this paper we have investigated the driven cubic-quintic Duffing equation. Using the
Melnikov analysis technique, we are able to predict the number of limit cycles around the …
Melnikov analysis technique, we are able to predict the number of limit cycles around the …
[HTML][HTML] On the Stability of Duffing Type Fractional Differential Equation with Cubic Nonlinearity
ND Ugochukwu, MF Oguagbaka, ES Samuel… - Open Access Library …, 2020 - scirp.org
The purpose of this paper is to study the stability of nonlinear fractional Duffing equation
where, by analysing the eigenvalues generated from the system of the given differential …
where, by analysing the eigenvalues generated from the system of the given differential …
Application of the finite element method to solving the duffing equation of ground motion
In this paper, we applied the Galerkin Finite Element Method to solve a damped, externally
forced, second order ordinary differential equation with cubic nonlinearity known as the …
forced, second order ordinary differential equation with cubic nonlinearity known as the …
[PDF][PDF] Existence of exponentially growing solution and asymptotic stability results for Hilfer fractional (p1, p2,... pn)-Laplacian initial value problem with weighted …
N Benkaci-Ali - Dyn. Syst. Appl, 2021 - dynamicpublishers.org
Dynamic Systems and Applications 30 (2021) No.12, 1763-1778 EXISTENCE OF
EXPONENTIALLY GROWING SOLUTIONS AND ASYMPTOTIC STABILIT Page 1 Dynamic …
EXPONENTIALLY GROWING SOLUTIONS AND ASYMPTOTIC STABILIT Page 1 Dynamic …
BOUNDEDNESS AND GLOBAL ASYMPTOTIC STABILITY OF A CERTAIN SECOND ORDER NONLINEAR DIFFERENTIAL EQUATION WITH DAMPING
EO Eze, UE Obasi, RN Ujumadu… - Universal Journal …, 2024 - pphmjopenaccess.com
This paper investigated boundedness and global asymptotic stability of a certain second
order nonlinear differential equation with damping using Lyapunov second method and …
order nonlinear differential equation with damping using Lyapunov second method and …
[PDF][PDF] Duffing oscillator with heptic nonlinearity under single periodic forcing
MO Oyesanya, JI Nwamba - Int. J. Mech. Appl, 2013 - academia.edu
In this paper, the Homotopy Analysis Method (HAM) is used to obtain an accurate analytical
two-term approximate solution to the positively damped cubic-quintic-heptic Duffing …
two-term approximate solution to the positively damped cubic-quintic-heptic Duffing …
[PDF][PDF] Existence, uniqueness, boundedness and stability of periodic solutions of a certain second-order nonlinear differential equation with damping and resonance …
EO Eze, UE Obasi, G Ezugorie, EE Hannah - Biometrical Letters - sciendo.com
In this paper, some qualitative behaviors of solutions for certain second-order nonlinear
differential equation with damping and resonance effects are considered. By employing …
differential equation with damping and resonance effects are considered. By employing …