...@gmail.com , menasri.abdellah@ensf.dz 23 05 2025 09 08 2025 03 11 2025 25 01 2026 16 03 2026 © Emerald Publishing Limited 2026 Emerald Publishing Limited Licensed re-use rights only Tinkerbell map Robust chaos Nonlinear dynamics Strange attractor Bifurcation...

... , q-Fractional differential equations Homotopy perturbation method (HPM) New iterative method (NIM) Quantum calculus Convergence analysis Nonlinear dynamics For a significant amount of time, researchers and practitioners in various fields have been increasingly interested in fractional...

...Xiang Liu; G.P. Cai Purpose This paper studies the nonlinear dynamics of membrane structure considering wrinkling effect. The coupling between wrinkles and vibration is investigated elaborately, and new insight on the dynamics of wrinkled membrane is unveiled. Design/methodology/approach Based...

...Nan Gao; Shiyu Wang; Muhammad Asad Ur Rehman Bajwa Purpose Gear transmissions are widely utilized in practice. This paper aims to uncouple the crack feature from the cracked time-varying mesh stiffness (TVMS) and investigate the effects of the crack on the nonlinear dynamics of a spur gear pair...

... Fractional damping Nonlinear dynamics National Natural Science Foundation of China 52075236 51675258 State Key Laboratory of Mechanical System and Vibration MSV201914 National University of Defense Technology 6142003190210 Nomenclature D_m Pitch...

... Sliding friction Bifurcation Nonlinear dynamics Adhesion torque Locomotive Traction gear pair system θi, Ii = angular displacement and moment of inertia of two gears; r_bi, r_ai, r_i = radius of base...

...Nielen Stander; Erwin Stein Using examples of flexible mechanisms, demonstrates that while the Newmark method is unstable for nonlinear dynamics, time step refinement could in some cases lead to even earlier onset of instability in the form of a blown‐up response. As a remedy, develops a plane...