Nonlinear response of a harmonically driven oscillator in magnetic field
نویسندگان
چکیده
منابع مشابه
Nonlinear dynamics of a magnetically driven Duffing-type spring–magnet oscillator in the static magnetic field of a coil
We study the nonlinear oscillations of a forced and weakly dissipative spring– magnet system moving in the magnetic fields of two fixed coaxial, hollow induction coils. As the first coil is excited with a dc current, both a linear and a cubic magnet-position dependent force appear on the magnet–spring system. The second coil, located below the first, excited with an ac current, provides the osc...
متن کاملSunspot Cycle: A Driven Nonlinear Oscillator?
A property of nonlinear oscillators—mutual dependence between their instantaneous amplitude and frequency—is tested in the yearly and monthly records of the sunspot numbers using the histogramadjusted isospectral surrogate data and the Barnes model as the autoregressive moving average surrogates. The instantaneous amplitudes and frequencies are obtained by means of the analytic signal approach ...
متن کاملHidden timescale in the response of harmonically driven chaotic systems
Linear response theory relates the response of a system to the power-spectrum of its fluctuations. However, the response to external driving in realistic models exhibits a pronounced non-linear blurring of the spectral line-shape. Considering a driven Bose-Hubbard trimer model we figure out what is the hidden time scale that controls this smearing effect. Contrary to conventional wisdom, the Fe...
متن کاملChaos in a Driven, Nonlinear Electrical Oscillator: Determining Feigenbaum's Delta
M.J. Feigenbaum has shown that all systems that exhibit a period doubling route to chaos share a common scaling function, such that δ = (V2 − V1) / (V3 − V2 ) = 4.669... This value, δ , is called "Feigenbaum's delta." A current driven by a function generator, traveling through a resistor, inductor, and a diode, acts as a driven nonlinear electrical oscillator, and is shown to exhibit a period d...
متن کاملChaos in a double driven dissipative nonlinear oscillator.
We propose an anharmonic oscillator driven by two periodic forces of different frequencies as a time-dependent model for investigating quantum dissipative chaos. Our analysis is done in the framework of the statistical ensemble of quantum trajectories in a quantum state diffusion approach. The quantum dynamical manifestations of chaotic behavior, including the emergence of chaos, properties of ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Archives of Control Sciences
سال: 2010
ISSN: 1230-2384
DOI: 10.2478/v10170-010-0002-y