Results 71 to 80 of about 7,745 (207)

High-order approximate solutions of strongly nonlinear cubic-quintic Duffing oscillator based on the harmonic balance method

Results in Physics, 2017
In this paper, a new reliable analytical technique has been introduced based on the Harmonic Balance Method (HBM) to determine higher-order approximate solutions of the strongly nonlinear cubic-quintic Duffing oscillator. The application of the HBM leads
M.S.H. Chowdhury, Md. Alal Hosen, Kartini Ahmad, M.Y. Ali, A.F. Ismail   +4 more
doaj   +1 more source

A Simple Expansion‐Based HPM for Cubic–Quintic Damped Nonlinear Oscillator

International Journal of Differential Equations, Volume 2026, Issue 1, 2026.
In the present article, a new amplitude expansion–based homotopy perturbation method (AE‐HPM) is used to study the nonlinear behavior of a damped oscillator. The traditional homotopy perturbation method is extended, considering a simple amplitude expansion to determine the solution and amplitude frequency relationship for the damped nonlinear system ...
Nazmul Sharif, Kartik Ariyur
wiley   +1 more source

Dynamics of Trajectories and Weak Chimera Patterns in the Second‐Order Kuramoto Model With Damping Effects

International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.
This study examines the second‐order Kuramoto model within a specific small invariant subspace. We explore how the damping parameter influences the emergence of synchronized states and the weak chimera state in this model. In addition, we numerically investigate various behaviors in the phase space resulting from changes in the damping parameter and ...
Mary G. Thoubaan, Abbas Kareem Wanas, Daniel Breaz, Luminiţa-Ioana Cotîrlă, Shikha Binwal   +4 more
wiley   +1 more source

Two-oscillator model of trapped-modes interaction in a nonlinear bilayer fish-scale metamaterial

, 2014
We discuss the similarity between the nature of resonant oscillations in two nonlinear systems, namely, a chain of coupled Duffing oscillators and a bilayer fish-scale metamaterial.
Kochetov, Bogdan A., Kochetova, Lyudmila A., Mladyonov, Pavel L., Prosvirnin, Sergey L., Tuz, Vladimir R.   +4 more
core   +1 more source

Complex Dynamics in a Tritrophic Chain Model With Prey Stage Structure

Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.
A tritrophic chain model with prey stage structure (reproductive and nonreproductive classes) is analyzed. This model is provided by an ODE system of dimension four and the main premise consists in assuming that the interaction between reproductive population and predator is governed either by a functional response Holling type II or IV (where a ...
Gamaliel Blé, Miguel Angel Dela-Rosa, Iván Loreto-Hernández, Hongyong Zhao   +3 more
wiley   +1 more source

RF bifurcation of a Josephson junction: microwave embedding circuit requirements

, 2006
A Josephson tunnel junction which is RF-driven near a dynamical bifurcation point can amplify quantum signals. The bifurcation point will exist robustly only if the electrodynamic environment of the junction meets certain criteria.
A. H. Nayfeh, D. M. Pozar, E. Boaknin, I. Siddiqi, L. D. Jackel, L. D. Landau, M. Devoret, M. I. Dykman, M. I. Dykman, M. Metcalfe, N. N. Boglyubov, R. Vijay, V. E. Manucharyan, Y. H. Kao   +13 more
core   +1 more source

Accuracy Estimation of the Numerical Solutions for Chaotic Regime of the Pendulum With External and Parametric Excitation

Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.
This study involves the development of a framework for checking the accuracy of built‐in algorithms from Mathcad software. The built‐in algorithms used inside Mathcad software include Runge–Kutta method of the fourth order (RK4), Adams method, backward differential formula, AdamsBDF, Radau, Bulstoer, Stiffr, and Stiffb methods.
M. C. Kekana, M. Y. Shatalov, S. E. Fadugba, N. Jeeva, T. O. Tong, Theodore Simos   +5 more
wiley   +1 more source

Non-equilibrium steady state of a driven levitated particle with feedback cooling

, 2015
Laser trapped nanoparticles have been recently used as model systems to study fundamental relations holding far from equilibrium. Here we study, both experimentally and theoretically, a nanoscale silica sphere levitated by a laser in a low density gas ...
Dellago, Christoph, Gieseler, Jan, Moritz, Clemens, Novotny, Lukas   +3 more
core   +1 more source

Continuation‐Enhanced Harmonic Balance Method for Nonlinear Dynamics in Rotating Machinery

Shock and Vibration, Volume 2026, Issue 1, 2026.
Nonlinear response conception in rotating machinery, particularly in systems with squeeze film dampers (SFDs), pose significant challenges for established time‐domain numerical methods due to bifurcations and critical points along the response trajectories.
Muhammad Umar, Charles Nutakor, Jussi Sopanen, Yan Niu   +3 more
wiley   +1 more source

Modified Legendre Wavelets Technique for Fractional Oscillation Equations

Entropy, 2015
Physical Phenomena’s located around us are primarily nonlinear in nature and their solutions are of highest significance for scientists and engineers.
Syed Tauseef Mohyud-Din, Muhammad Asad Iqbal, Saleh M. Hassan   +2 more
doaj   +1 more source