Results 61 to 70 of about 7,745 (207)

The dissipative quantum Duffing oscillator: a comparison of Floquet-based approaches

, 2010
We study the dissipative quantum Duffing oscillator in the deep quantum regime with two different approaches: The first is based on the exact Floquet states of the linear oscillator and the nonlinearity is treated perturbatively.
Almog, Alridge, Aravind, Blum, Blümel, Blümel, Breuer, Caldeira, Carmen Vierheilig, Certain, Certain, Cohen-Tannoudji, Dykman, Etaki, Floquet, Grifoni, Husimi, Jordan, Katz, Katz, Kirtman, Kohler, Kohler, Lee, Louisell, Metcalfe, Milena Grifoni, Nakano, Nation, Nayfeh, Nolting, Peano, Peano, Peano, Perelomov, Picot, Rigo, Sambe, Serban, Serban, Shavitt, Shirley, Siddiqi, Siddiqi, Stone, Tittonen, Vierheilig   +46 more
core   +1 more source

Needle in a Haystack: Information Recovery in Low Signal‐to‐Noise Piezoresponse Force Microscopy Data

Small Methods, Volume 10, Issue 2, 22 January 2026.
Reconstruction of low signal‐to‐noise ratio signals enables improved information recovery in piezoresponse force microscopy data, even in data with a substantial amount of noise. Incorporating signal processing errors to detect and Bayesian matrix completion methods to reconstruct low SNR signals substantially alters the apparent PFM switching ...
Kerisha N. Williams, Henry Shaowu Yuchi, Gardy Kevin Ligonde, Mathew Repasky, Yao Xie, Nazanin Bassiri‐Gharb   +5 more
wiley   +1 more source

Piezoelectric Ceramic Resonator for Physical Reservoir Computing

Electronics Letters, Volume 62, Issue 1, January/December 2026.
This work presents a feedback‐free, maskless physical reservoir computing based on a Pb(Zr,Ti)O3 piezoelectric ceramic disc resonator that harnesses intrinsic Duffing nonlinearity and underdamped transients. A nonlinear equivalent‐circuit model quantifies the mechanism, and the computational capability is validated via end‐to‐end simulations ...
Senhao Wang, Xiaosheng Wu
wiley   +1 more source

Heteroclinic Bifurcation Behaviors of a Duffing Oscillator with Delayed Feedback

Shock and Vibration, 2018
The heteroclinic bifurcation and chaos of a Duffing oscillator with forcing excitation under both delayed displacement feedback and delayed velocity feedback are studied by Melnikov method.
Shao-Fang Wen, Ju-Feng Chen, Shu-Qi Guo
doaj   +1 more source

An analytical approximate technique for solving cubic–quintic Duffing oscillator

Alexandria Engineering Journal, 2016
In this paper, an analytical approximate technique combined of homotopy perturbation method and variational formulation is presented to obtain the approximate frequency and the corresponding periodic solution of strongly nonlinear oscillator named as ...
Md Abdur Razzak
doaj   +1 more source

New method for solving strong conservative odd parity nonlinear oscillators: Applications to plasma physics and rigid rotator

AIP Advances, 2020
In the present work, a new method for solving a strong nonlinear oscillator equation of the form ẍ + F(x) = 0, where F(−x) = −F(x), is carried out. This method consists of approximating function F(x) by means of a suitable Chebyshev polynomial: F(x) ≈ P(
Ma’mon Abu Hammad, Alvaro H. Salas, S. A. El-Tantawy   +2 more
doaj   +1 more source

Dynamics of the quantum Duffing oscillator in the driving induced bistable regime

, 2005
We investigate the nonlinear response of an anharmonic monostable quantum mechanical resonator to strong external periodic driving. The driving thereby induces an effective bistability in which resonant tunneling can be identified.
Ankerhold, Ankerhold, Bertet, Buks, Carr, Cleland, Cleland, Cleland, Craighead, Datta, Davis, Dmitriev, Dykman, Dykman, Dykman, Erbe, Guckenheimer, Huang, Husain, Hänggi, Jackson, Knobel, Kohler, Krömmer, LaHaye, Larsen, Lupascu, M. Thorwart, Machura, Nayfeh, Peano, Pechukas, Pechukas, Pechukas, Pechukas, Pechukas, Pollak, Roukes, Siddiqi, Thorwart, Thorwart, Thorwart, V. Peano, Vogel, Weiss, Werner   +45 more
core   +1 more source

Transient Chaos in a Jerk System: Zero‐Hopf Bifurcation and Fractional Order Dynamics

International Journal of Differential Equations, Volume 2026, Issue 1, 2026.
Transient chaos is a phenomenon in which chaotic dynamics persists for a finite time before transitioning to periodic or steady‐state behavior. TS has profound implications across disciplines, from neuroscience to quantum physics and machine learning. Recent studies have highlighted its role in crisis‐induced transitions, early‐time entanglement growth
Sarbast Hussein, Surma H. Ibrahim, Nasser Saeed, Ali A. Shukur, Viet-Thanh Pham, Giuseppe Grassi, Sining Zheng   +6 more
wiley   +1 more source

First integral method for an oscillator system

Electronic Journal of Differential Equations, 2013
In this article, we consider the nonlinear Duffing-van der Pol-type oscillator system by means of the first integral method. This system has physical relevance as a model in certain flow-induced structural vibration problems, which includes the van ...
Xiaoqian Gong, Jing Tian, Jiaoyan Wang
doaj  

Synchronization of an Uncertain Duffing Oscillator with Higher Order Chaotic Systems

International Journal of Applied Mathematics and Computer Science, 2018
The problem of practical synchronization of an uncertain Duffing oscillator with a higher order chaotic system is considered. Adaptive control techniques are used to obtain chaos synchronization in the presence of unknown parameters and bounded ...
Kabziński Jacek
doaj   +1 more source