Search Results - "Duffing equations"

Parametric resonance and chaos in a duffing-type oscillator with periodic inertia modulation.

Authors: El-Borhamy, Mohamed Nasef, Arafa A. Attia, Abdel-Fattah et al.

Source: Scientific Reports. 5/20/2026, Vol. 16 Issue 1, p1-29. 29p.

On the dynamics of the autonomous Duffing--Holmes oscillator.

Authors: Diz-Pita, Érika Llibre, Jaume Otero-Espinar, M. Victoria

Source: Nonlinear Analysis: Modeling & Control. 2026, Vol. 31 Issue 3, p699-721. 23p.

Stability and Complex Dynamics in a Duffing-Type Parametrically Modulated Oscillator.

Authors: Sobhy, Ismail Nasef, Arafa A. Attia, Abdel-Fattah et al.

Source: Journal of Nonlinear Mathematical Physics. 5/2/2026, Vol. 33 Issue 1, p1-37. 37p.

Fractal Duffing Oscillators with Two Degrees of Freedom and Cubic–Quintic Nonlinear Stiffness.

Authors: Xiu, Guozhong He, Jihuan El-Dib, Yusry O. et al.

Source: Fractal & Fractional. Apr2026, Vol. 10 Issue 4, p265. 18p.

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

Authors: An, Tai Yan, Xiaopeng Zhang, Ningzhe et al.

Source: Mathematics (2227-7390). Feb2026, Vol. 14 Issue 3, p545. 26p.

On oscillation modes and basins of attraction of a harmonically excited 2-DOF cart model oscillating over an inclined surface under 1:1 internal resonance.

Authors: Saeed, Nasser A Hou, Lei Ellabban, YY et al.

Source: Journal of Low Frequency Noise, Vibration & Active Control. Dec2025, Vol. 44 Issue 4, p2297-2325. 29p.

Bifurcation analysis of Duffing oscillator with a fifth-order nonlinear factor.

Authors: Alidousti, J. Salehi, K. Eskandari, Z. et al.

Source: International Journal of Modelling & Simulation. Aug2025, Vol. 45 Issue 4, p1286-1298. 13p.

Subjects: Bifurcation theory, Duffing equations, System dynamics, Computer simulation, Nonlinear mechanics, Perturbation theory, Quantitative research

Chaos emergence in bistable (double-well) vibration isolators.

Authors: Ilyashenko, Alla V.¹ (AUTHOR) avi_56@mail.ru

Source: Zeitschrift für Angewandte Mathematik und Physik (ZAMP). May2026, Vol. 77 Issue 5, p1-13. 13p.

Subjects: Duffing equations, Base isolation system, Springs (Mechanisms), Potential energy, Shock absorbers, Bistable devices, Nonlinear mechanics

On Nonlinear Oscillations: Basins of Attraction, Harmonic Balance Solution Artifacts and Urabe's Existence Criterion for the Duffing Oscillator.

Authors: Dänschel, Hannes Lentz, Lukas Gräbner, Nils et al.

Source: ZAMM -- Journal of Applied Mathematics & Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik. Apr2026, Vol. 106 Issue 4, p1-19. 19p.

Subjects: Duffing equations, Nonlinear oscillations, Dynamical systems, Continuation methods, Nonlinear mechanics, Frequency response, Approximation error

Dynamics of a Tree Trunk Structure in Double-Well Potential under Dual Turbulent Flow and Periodic Loading.

Authors: Kpomahou, Y. J. Fernando Adéchinan, Adébiyi Joseph Tokpohozin, N. Bernard et al.

Source: International Journal of Bifurcation & Chaos in Applied Sciences & Engineering. Jun2026, Vol. 36 Issue 7, p1-26. 26p.

Subjects: Duffing equations, Turbulent flow, Resonant vibration, Chaos theory, Energy dissipation, Nonlinear mechanics, Cyclic loads, Attractors (Mathematics)

Exploring Chameleon Chaos: A Linearly Modulated Generalized Duffing System with Hidden and Self-Excited Attractors.

Authors: Liu, Xueqing Sang, Bo Wang, Chun et al.

Source: International Journal of Bifurcation & Chaos in Applied Sciences & Engineering. May2026, Vol. 36 Issue 6, p1-19. 19p.

Subjects: Duffing equations, Attractors (Mathematics), Chaos theory, Bifurcation theory, Hopf bifurcations

Switching Dynamics and Periodic Motions in a Switching Duffing Oscillator.

Authors: Luo, Albert C. J. Huang, Zixu

Source: International Journal of Bifurcation & Chaos in Applied Sciences & Engineering. Apr2026, Vol. 36 Issue 5, p1-22. 22p.

Subjects: Periodic motion, Duffing equations, Nonlinear dynamical systems, Eigenanalysis, Bifurcation theory, Nonlinear control theory, Hybrid systems, Implicit functions

On the solution and Lagrangian representation of duffing oscillator with damping.

Authors: Choudhuri, Amitava Panja, Madan Mohan Talukdar, Benoy

Source: Canadian Journal of Physics. 2025, Vol. 103 Issue 9, p912-919. 8p.

Highly accurate method for solving forced Duffing equations with integral boundary conditions.

Authors: Ahmed, H. M.¹ (AUTHOR) hanyahmed@techedu.helwan.edu.eg

Source: Boundary Value Problems. 7/24/2025, Vol. 2025 Issue 1, p1-17. 17p.

Dynamics of a Class of Extended Duffing–Van Der Pol Oscillators: Melnikov's Approach, Simulations, Control over Oscillations.

Authors: Kyurkchiev, Nikolay Zaevski, Tsvetelin Vasileva, Maria et al.

Source: Mathematics (2227-7390). Jul2025, Vol. 13 Issue 14, p2240. 21p.

Analyzing the chaotic and stability behavior of a duffing oscillator excited by a sinusoidal external force.

Authors: Abohamer, MK Amer, TS Arab, A et al.

Source: Journal of Low Frequency Noise, Vibration & Active Control. Jun2025, Vol. 44 Issue 2, p969-986. 18p.

Lagrange Stability and KAM Tori for Duffing Equations with Quasi-periodic Coefficients.

Authors: Xue, Huining Yuan, Xiaoping

Source: Chinese Annals of Mathematics. May2025, Vol. 46 Issue 3, p359-372. 14p.

Numerical Solutions for Nonlinear Ordinary and Fractional Duffing Equations Using Combined Fibonacci–Lucas Polynomials.

Authors: Abd-Elhameed, Waleed Mohamed Alqubori, Omar Mazen Amin, Amr Kamel et al.

Source: Axioms (2075-1680). Apr2025, Vol. 14 Issue 4, p314. 23p.

Insights in Inspecting Two-Degree-of-Freedom of Mathieu-Cubic-Quintic Duffing Oscillator.

Authors: Alanazy, Asma Moatimid, Galal M. Mohamed, Mona A. A.

Source: European Journal of Pure & Applied Mathematics. Apr2025, Vol. 18 Issue 2, p1-36. 36p.

An Iterative Fractional Operational Matrix Method for Solving Fractional Undamped Duffing Equation with High Nonlinearity.

Authors: Syam, Muhammed I. Sharadga, Mwaffag Hashim, Ishak et al.

Source: European Journal of Pure & Applied Mathematics. Apr2025, Vol. 18 Issue 2, p1-18. 18p.