Results 131 to 140 of about 8,845 (277)

Dynamics of Double Chaos

Ibn Al-Haitham Journal for Pure and Applied Sciences, 2017
stract         This paper includes studying (dynamic of double chaos) in two steps: First Step:- Applying ordinary differential equation have behaved chaotically such as (Duffing's equation) on (double pendulum) equation system to get new system of ...
A. M. Ahmed, S. Noori
doaj  

Periodic Duffing equations with delay

Electronic Journal of Differential Equations, 2004
The paper is devoted to find sufficient conditions for the existence of a \(T\)-periodic solution for the Duffing equation with delay \[ x''(t)+cx'(t)+g(t-\tau, x(t-\tau), x'(t-\tau))=p(t), \] where \(c\in \mathbb{R}\), \(g\) is a continuous function and \(T\)-periodic in its first argument, and \(p\) is \(T\)-periodic.
Jean-Marc Belley, Michel Virgilio
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A new approach to the existence of quasiperiodic solutions for a class of semilinear Duffing-type equations with time-periodic parameters [PDF]

, 2016
Xiaoming Wang, Lixia Wang, Hainv Tan
openalex   +1 more source

Fixed points and Stability of Damped and Unforced Duffing Equation, Solution and Graphs for Displacement and Velocity of that Equation using Matlab

, 2020
Ajaya Kumar Singh
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Research on the Threshold Determination Method of the Duffing Chaotic System Based on Improved Permutation Entropy and Poincaré Mapping. [PDF]

Entropy (Basel), 2023
Zhou J, Li Y, Wang M.
europepmc   +1 more source

Boundedness of Solutions for Semilinear Duffing Equations

Journal of Differential Equations, 1998
The paper concerns the semilinear Duffing equation \(x''(t)+\lambda^2x(t)+\phi(x(t))=e(t)\). Here, \(\phi(x)=o(x)\) as \(| x|\to+\infty\) and \(e\) is \(2\pi\)-periodic. For this equation, the main result states that all solutions are bounded and some solutions are quasi-periodic.
openaire   +2 more sources

Chaotic period-doubling and OGY control for the forced Duffing equation

, 2011
Marat Akhmet, Mehmet Onur Fen
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A global condition for periodic Duffing-like equations [PDF]

, 1999
Piero Montecchiari, Margherita Nolasco, Susanna Terracini   +2 more
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Periodic Solutions for Duffing Type p‐Laplacian Equation with Multiple Constant Delays [PDF]

, 2012
Hong Zhang, Junxia Meng
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Identification of Upper and Lower Limits of the Unstable Region of the Undamped Duffing Oscillator with Softening Stiffness

Applied Sciences
The study concerns the Duffing oscillator (Duffing equation) with softening stiffness. Using numerical simulations, the upper and lower limits of the unstable region for damping equal to 0 were identified, and analytic formulas describing them were ...
Wojciech Wawrzynski
doaj   +1 more source