Results 1 to 10 of about 7,689 (210)

Analysis of nonlinear oscillators using volterra series in the frequency domain Part I : convergence limits [PDF]

, 2009
The Volterra series representation is a direct generalisation of the linear convolution integral and has been widely applied in the analysis and design of nonlinear systems, both in the time and the frequency domain.
Billings, S.A., Li, L.M.
core  

Variational calculation of the period of nonlinear oscillators

, 2004
The problem of calculating the period of second order nonlinear autonomous oscillators is formulated as an eigenvalue problem. We show that the period can be obtained from two integral variational principles dual to each other.
Benguria, R. D., Depassier, M. C.
core   +1 more source

Weak Signal Detection Method for Millimeter-Wave Sensor Signals Based on Heterodyne Duffing Oscillator

Mathematics
Millimeter-wave technology helps achieve antenna miniaturization and high gain, but it is limited by factors such as short wavelength, high transmission loss, and high signal-to-noise ratio, which put higher requirements on the accuracy and computing ...
Tai An, Xiaopeng Yan, Ningzhe Zhang, Xinhong Hao, Jinyu Zhang, Jian Dai   +5 more
doaj   +1 more source

Chaos of the Relativistic Parametrically Forced van der Pol Oscillator

, 1998
A manifestly relativistically covariant form of the van der Pol oscillator in 1+1 dimensions is studied. We show that the driven relativistic equations, for which $x$ and $t$ are coupled, relax very quickly to a pair of identical decoupled equations, due
Bogoliuboff, Cartwright, Cicogna, Geist, Glendinning, Greene, Guckenheimer, Habib, Hilborn, Horwitz, Horwitz, Jackson, Kaplan, Kryloff, Melnikov, Press, Sander, Schieve, Schmidt, Shaw, Stueckelberg, Tabor, Van der Pol, Van der Pol, Wolf   +24 more
core   +1 more source

Fractal patterns in the parameter space of a bistable Duffing oscillator. [PDF]

Phys Rev E, 2023
Hasan MN, Greenwood TE, Parker RG, Kong YL, Wang P.   +4 more
europepmc   +1 more source

Quantum chaos in open systems: a quantum state diffusion analysis

, 1995
Except for the universe, all quantum systems are open, and according to quantum state diffusion theory, many systems localize to wave packets in the neighborhood of phase space points. This is due to decoherence from the interaction with the environment,
Anastopoulos C, Brun T, Brun T, Dowker F, Gell-Mann M, Gell-Mann M, Gisin N, Gisin N, Griffiths R, Griffiths R, Griffiths R, Guckenheimer J, Gutzwiller M C, Halliwell J, Ian C Percival, Joos E, Lindblad G, Omnès R, Omnès R, Omnès R, Percival I C, Rüdiger Schack, Schack R, Spiller T P, Steimle T, Todd A Brun, Twamley J   +26 more
core   +2 more sources

The mapping of Duffing oscillator in discrete time

Физика волновых процессов и радиотехнические системы, 2014
The option of discrete mapping of Duffing oscillator - oscillatory system with cubic nonlinearity is offered. Mapping is received on the basis of a combination of methods of parametrical synthesis and invariancy of pulse characteristics of dynamic ...
V.V. Zaitsev, A.N. Shilin, A.N. Yudin
doaj  

Quantum dissipative dynamics of driven Duffing oscillator near attractors

APL Quantum
We investigate the quantum dissipative dynamics near the stable states (attractors) of a driven Duffing oscillator. A refined perturbation theory that can treat two perturbative parameters with different orders is developed to calculate the quantum ...
Wei Feng, Lingzhen Guo
doaj   +1 more source

Determination of Approximate Periods of Duffing-harmonic Oscillator

Walailak Journal of Science and Technology, 2014
We introduced an analytical technique based on harmonic balance method (HBM) to determine approximate periods of a nonlinear Duffing-harmonic oscillator. Generally, a set of nonlinear algebraic equations are appeared when HBM is formulated.
Md. Alal HOSEN
doaj   +1 more source

Quantum behavior of the Duffing oscillator at the dissipative phase transition. [PDF]

Nat Commun, 2023
Chen QM, Fischer M, Nojiri Y, Renger M, Xie E, Partanen M, Pogorzalek S, Fedorov KG, Marx A, Deppe F, Gross R.   +10 more
europepmc   +1 more source