The damped Helmholtz-Duffing oscillator is a topic of great interest in many different fields of study due to its complex dynamics.By transitioning from conventional continuous differential equations to their fractal ...
the National Natural Sci-ence Foundation of China(Grant No.61988102);the Key Research and Development Program of Guangdong Province(Grant No.2019B090917007);the Science and Technology Planning Project of Guangdong Province(Grant No.2019B090909011);Q.L.acknowledges Guangzhou Basic and Applied Basic Research Project(Grant No.2023A04J0018);Z.L.acknowledges the support of fund-ing from Chinese Academy of Sciences E1Z1D10200 and E2Z2D10200;from ZJ project 2021QN02X159 and from JSPS(Grant Nos.PE14052 and P16027);We gratefully ac-knowledge HZWTECH for providing computation facilities.Z.-X.H.was supported by the National Natural Science Foun-dation of China(Grant Nos.11974064 and 12147102);the Fundamental Research Funds for the Central Universities(Grant No.2020CDJQY-Z003).
We develop a numerical method for the time evolution of Gaussian wave packets on flat-band lattices in the presence of correlated disorder.To achieve this,we introduce a method to generate random on-site energies with...
The time-delayed fractal Van der Pol–Helmholtz–Duffing(VPHD)oscillator is the subject of this paper,which explores its mechanisms and highlights its stability analysis.While time-delayed technologies are currently g...
Orientifold projections are an important ingredient in the geometrical engineering of Quantum Field Theory.However,an orientifold can break down the superconformal symmetry and no new superconformal fixed points are a...
supported by the Sichuan Science and Technology Program(2022YFG0317);supported by the Tianfu talent plan and FXHU.
In this paper,we present two non-perturbative string cosmological solutions without curvature singularities for the bosonic gravi-dilaton system.These solutions are general in that they can straightforwardly match the...
Princess Nourah bint Abdulrahman University Researchers Supporting Project number(PNURSP2023R17)
The idea of the present article is to look into the nonlinear dynamics and vibration of a damping Duffing-jerk oscillator in fractal space exhibiting the non-perturbative approach.Using a new analytical technique,name...
The motive behind the current work is to perform the solution of the Van der Pol–Duffing jerk oscillator,involving fractional-order by the simplest method.An effective procedure has been introduced for executing the ...
the U.S.Department of Energy(DOE),Office of Science,the Office of Basic Energy Sciences,and the Office of High Energy Physics,under Contract No.DE-AC02-05CH11231;the Gordon and Betty Moore Foundation under Grant No.GBMF4898.
Controlling the delivery of multi-terawatt and petawatt laser pulses to final focus,both in position and angle,is critical to many laser applications such as optical guiding,laser–plasma acceleration,and laser-produc...
We study the evolution in time of the quantum Mathieu oscillator (QMO), according to the motion of a charged particle in a radio frequency Paul trap. We adopt non-perturbative treatment based on the quantized Floquet ...
National Natural Science Foundation of China(Grant Nos.11432009,and 91752104)。
A new non-perturbative approach is proposed to solve time-independent Schr?dinger equations in quantum mechanics.It is based on the homotopy analysis method(HAM)that was developed by the author in 1992 for highly nonl...