Results 171 to 180 of about 7,653 (211)

Asymptotic behaviours in stochastic pumped Duffing oscillators

Physics Letters A, 1987
Abstract Both static and dynamic properties of the Duffing oscillator with fluctuating elastic constant are simulated by means of an analogue circuit. A regime of large intensity and long correlation time of the applied fluctuation is determined where the experimental data are not reproduced by previous theoretical predictions.
MARCHESONI, Fabio, M. POCHINI, S. SANTUCCI   +2 more
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Duffing oscillators for secure communication

Computers & Electrical Engineering, 2018
Abstract This paper introduces a new technique for using chaotic Duffing oscillators in secure communication. The secret message is encrypted using the parameters of the Duffing oscillator that indirectly affect the generated chaotic orbits. The mathematical model of the chaotic transmitter uses three parameters that can be altered between two levels,
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Adaptive Control of the Uncertain Duffing Oscillator

International Journal of Bifurcation and Chaos, 1997
An adaptive feedback controller is developed based on rigorous Lyapunov argument for an uncertain chaotic Duffing oscillator, in which the three key system parameters are essentially unknown. The proposed method can be easily extended to handle some other chaotic dynamical systems with mild modifications.
Dong, Xiaoning, Chen, Guanrong, Chen, Liang   +2 more
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A GEOMETRIC MODEL FOR THE DUFFING OSCILLATOR

International Journal of Bifurcation and Chaos, 1993
A geometric model for the Duffing oscillator is constructed by analyzing the unstable periodic orbits underlying the chaotic attractors present at particular parameter values. A template is constructed from observations of the motion of the chaotic attractor in a Poincaré section as the section is swept for one full period.
McCallum, J. W. L., Gilmore, R.
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Time-Delay Duffing Oscillators

2016
In this chapter, periodic motions in a periodically excited Duffing oscillator with a time-delayed displacement are investigated through the Fourier series, and the stability and bifurcation of such periodic motions are discussed through eigenvalue analysis.
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The Duffing oscillator with damping

European Journal of Physics, 2015
Summary: An analytical solution to the differential equation describing the Duffing oscillator with damping is presented. The damping term of the differential equation and the initial conditions satisfy an algebraic equation, and thus the solution is specific for this type of damping.
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Time-Delayed Duffing Oscillator

2016
In this chapter, bifurcation trees of periodic motions in a periodically forced, time-delayed, Duffing oscillator are predicted by a semi-analytical method. From the finite discrete Fourier series, harmonic frequency–amplitude curves for stable and unstable period-1 to period-4 motions are developed for a better understanding of quantity levels ...
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Van der Pol‐Duffing Oscillators and Trigonometric Iteration

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 1989
AbstractFür den van der Pol‐Duffing‐Schwinger mit nichtlinearen Rückstell‐, Dämpfungs‐ und/oder Selbsterregungskräften werden höhere analytische Näherungen mit einer Methode der trigonometrischen Iteration bestimmt, die einerseits zu leicht numerisch auswertbaren Amplituden‐Frequenz‐Formeln höherer Ordnung, andererseits zu näherungsweisen Startwerten ...
Schmidt, G., Dum, R.
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Secure communication using Duffing oscillators

2011 IEEE International Conference on Signal and Image Processing Applications (ICSIPA), 2011
In this paper, a Duffing oscillator is used to construct a chaos-based secure communication system for transmitting digital signals. The synchronization of both the transmitter and the receiver is carried out using a Lyapunov-based control approach that observes the states of the transmitter.
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Quantum Duffing Oscillators

2013
Numerical integration of the non-stationary Schrödinger equation with Duffing potential depending on two coordinates has been carried out. Oscillation types and the influence of coupling between two oscillators on frequency spectra are analyzed in detail.
Sanin, A., Semyonov, E.
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