[PDF][PDF] A look at the Duffing system with periodic parametric excitation: an overview (Web–Platform upgrade)

A Malinova, N Kyurkchiev, A Iliev… - … Journal of Differential …, 2023 - researchgate.net
In this article we demonstrate some specialized modules for investigating the dynamics of
some generalized Duffing system with periodic parametric excitation, an integral part of a …

Complex dynamics of a conceptual airfoil structure with consideration of extreme flight conditions

Q Liu, Y Xu, Y Li - Nonlinear Dynamics, 2023 - Springer
An aircraft in practice serves under extreme flight conditions that will have a substantial
impact on its flight safety. Understanding dynamics of airfoil structure of an aircraft subjected …

[PDF][PDF] On a hypothetical oscillator: investigations in the light of the Melnikov's approach, some simulations

N Kyurkchiev, T Zaevski - International Journal of Differential …, 2023 - researchgate.net
A variety of microelectromechanical (MEM) oscillators is governed by a version of the
Mathieu equation that harbors both linear and cubic nonlinear timevarying stiffness terms [7] …

[PDF][PDF] Dynamics of a generalized hypothetical Rayleigh–Duffing–like oscillator: investigations in the light of Melnikov's approach, simulations (Web–Platform upgrade)

A Golev, V Arnaudova, S Filial - International Journal of …, 2023 - researchgate.net
The Rayleigh–Duffing oscillator models are widely used in physics, electronics and many
other disciplines. Obviously, these studies can be successfully continued. In this paper, we …

Global analysis of stochastic and parametric uncertainty in nonlinear dynamical systems: adaptative phase-space discretization strategy, with application to Helmholtz …

KCB Benedetti, PB Gonçalves, S Lenci, G Rega - Nonlinear Dynamics, 2023 - Springer
An adaptative phase-space discretization strategy for the global analysis of stochastic
nonlinear dynamical systems with competing attractors considering parameter uncertainty …

[PDF][PDF] On a Duffing–like oscillators with “transfer excitation function (TEF)”: some hypothetical models (Web–Platform upgrade)

N Kyurkchiev, A Iliev, V Kyurkchiev… - … in Applied Analysis, 2023 - researchgate.net
In this article we demonstrate some specialized modules for investigating the dynamics of
some Duffing–like oscillators with” transfer excitation function”, an integral part of a planned …

Nonlinear dynamics of a new class of micro-electromechanical oscillators—Open problems

N Kyurkchiev, T Zaevski, A Iliev, V Kyurkchiev… - Symmetry, 2024 - mdpi.com
In this paper, we propose a new class of micro-electromechanical oscillators. Some
investigations based on Melnikov's approach are applied for identifying some chaotic …

A path integration algorithm for stochastic dynamical systems with multiple non-smooth events

J Peng, L Wang, B Wang, K Jing, W Xu - Mechanical Systems and Signal …, 2023 - Elsevier
An extended path integration method is designed for obtaining the stochastic response of
systems with multiple non-smooth events. The concept of the ordered non-smooth events set …

The occurrence mechanisms of extreme events in a class of nonlinear Duffing-type systems under random excitations

D Zhao, Y Li, Q Liu, H Zhang, Y Xu - Chaos: An Interdisciplinary …, 2023 - pubs.aip.org
The occurrence mechanisms of extreme events under random disturbances are relatively
complex and not yet clear. In this paper, we take a class of generalized Duffing-type systems …

Switching mechanism and hardware experiment of a non-smooth Rayleigh-Duffing system

Z Rui, F Min, Y Dou, B Ye - Chinese Journal of Physics, 2023 - Elsevier
In this paper, the switching dynamical behaviors of a non-smooth Rayleigh Duffing system
with periodically external excitation are studied via the theory of discontinuous dynamical …