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Some Novel Analytical Approximations to the (Un)damped Duffing–Mathieu Oscillators
Some novel exact solutions and approximations to the damped Duffing–Mathieu-type oscillator with cubic nonlinearity are obtained. This work is divided into two parts: in the first part, some exact solutions to both damped and undamped Mathieu oscillators
Haifa A. Alyousef +3 more
doaj +1 more source
ABSTRACT In this paper, we consider the optimal control problem for an unknown continuous‐time nonlinear system, and present a framework that integrates model‐based and model‐free methods to solve it. Each approach offers distinct advantages: model‐based techniques provide offline synthesis and data efficiency, while model‐free procedures excel at ...
Surabhi Athalye +2 more
wiley +1 more source
Pada persamaan diferensial terdapat klasifikasi yaitu persamaan diferensial linear dan persamaan diferensial tak linear. Salah satu contoh dari persamaan diferensial tak linear yaitu persamaan Duffing.
Z A Tamimi, S B Waluya
doaj
Best difference equation approximation to Duffing's equation [PDF]
AbstractDuffing's differential equation in its simplest form can be approximated by a variety of difference equations. It is shown how to choose a ‘best’ difference equation in the sense that the solutions of this difference equation are successive discrete exact values of the solution of the differential equation.
openaire +2 more sources
Abstract Agency has emerged as a key topic in language learning and teaching research with significant implications for language learners' L2 development and teachers' professional growth. To delineate the contribution of TESOL Quarterly (TQ) to L2 learner and teacher agency research, we examine 27 articles published in the journal between 1997 and ...
Jian Tao, Xuesong (Andy) Gao
wiley +1 more source
In this paper, by applying fractional quantum calculus, we study a nonlinear Duffing-type equation with three sequential fractional q-derivatives. We prove the existence and uniqueness results by using standard fixed-point theorems (Banach and Schaefer ...
Mohamed Houas +3 more
doaj +1 more source
Lagrange stability for a class of impulsive Duffing equation with low regularity
We discuss the Lagrange stability for a class of impulsive Duffing equation with time-dependent polynomial potentials. More precisely, we prove that under suitable impulses, all the solutions of the impulsive Duffing equation (with low regularity in time)
Xiaolong He, Yueqin Sun, Jianhua Shen
doaj +1 more source
Parameter switching in a generalized Duffing system: Finding the stable attractors [PDF]
This paper presents a simple periodic parameter-switching method which can find any stable limit cycle that can be numerically approximated in a generalized Duffing system. In this method, the initial value problem of the system is numerically integrated
Danca, Marius-F., Lung, Nicolae
core +2 more sources
Abstract Previous research demonstrated that communication anxiety reduces L2 learners' willingness to communicate and communication frequency, but left unexplored its impact on performance. The current mixed‐methods study investigated factors impacting L2 communication skills.
Debra M. Hardison
wiley +1 more source
Haar Wavelet Operational Matrix Method for Fractional Oscillation Equations
We utilized the Haar wavelet operational matrix method for fractional order nonlinear oscillation equations and find the solutions of fractional order force-free and forced Duffing-Van der Pol oscillator and higher order fractional Duffing equation on ...
Umer Saeed, Mujeeb ur Rehman
doaj +1 more source

