Add to ORKGThe thesis deals with the behaviour of non-linear oscilators. Within their models there often appears the Duffing equation. The aims of this investigation include fundamentals of the theory of differential equations, interpretation of the Duffing equation and its analysis. To fulfill these aims, this investigation utilizes qualitative theory of the differential equations. It means that closed form solutions to the equations are not looked for but qualitative behaviour and properties of the solutions are studied. Some of the properties of solutions can be obtained from phase portraits
The Duffing equation will be studied under a variety of different val-ues for the coupling parameter...
We present a novel application of the successive linearisation method to the classical Van der Pol a...
In this paper, an analytical approximation technique has been presented of obtaining higher-order a...
The Duffing Equation: Nonlinear Oscillators and their Behaviour brings together the results of a wea...
This thesis analyses the simplest model of nonlinear oscillations, the Duffing oscillator. Methods o...
Some aspects regarding the shape of the excitation used to model a nonlinear oscillator are studie
Ordinary differential equations of various types appear in the mathematical modelling in mechanics. ...
AbstractA method is presented for the analysis of single degree of freedom non-linear oscillators ch...
The behaviour of non-linear periodically drivers Duffing-type oscillators with friction is analyzed....
Objectives: To present a new approximate solution to the field equations obtained nonlinear differen...
In a series of two publications, we have presented new ideas and methods to better understand and ha...
Duffingov oscilator je primjer oscilatora s periodičkom vanjskom silom i nelinearnom elastičnošću mo...
In this study, an undamped Duffing's oscillator equation with time-dependent parameters has been con...
The Duffing oscillator represents an important model to describe mathematically the non- linear beha...
Oscillators are omnipresent; most of them are inherently nonlinear. Though a nonlinear equation most...
The Duffing equation will be studied under a variety of different val-ues for the coupling parameter...
We present a novel application of the successive linearisation method to the classical Van der Pol a...
In this paper, an analytical approximation technique has been presented of obtaining higher-order a...
The Duffing Equation: Nonlinear Oscillators and their Behaviour brings together the results of a wea...
This thesis analyses the simplest model of nonlinear oscillations, the Duffing oscillator. Methods o...
Some aspects regarding the shape of the excitation used to model a nonlinear oscillator are studie
Ordinary differential equations of various types appear in the mathematical modelling in mechanics. ...
AbstractA method is presented for the analysis of single degree of freedom non-linear oscillators ch...
The behaviour of non-linear periodically drivers Duffing-type oscillators with friction is analyzed....
Objectives: To present a new approximate solution to the field equations obtained nonlinear differen...
In a series of two publications, we have presented new ideas and methods to better understand and ha...
Duffingov oscilator je primjer oscilatora s periodičkom vanjskom silom i nelinearnom elastičnošću mo...
In this study, an undamped Duffing's oscillator equation with time-dependent parameters has been con...
The Duffing oscillator represents an important model to describe mathematically the non- linear beha...
Oscillators are omnipresent; most of them are inherently nonlinear. Though a nonlinear equation most...
The Duffing equation will be studied under a variety of different val-ues for the coupling parameter...
We present a novel application of the successive linearisation method to the classical Van der Pol a...
In this paper, an analytical approximation technique has been presented of obtaining higher-order a...