Sliding fast–slow dynamics in the slowly forced Duffing system with frequency switching

X Han, Q Bi - Chaos, Solitons & Fractals, 2023 - Elsevier
This paper aims to report sliding fast–slow dynamics related to the classic relaxation
oscillations. To this end, the slowly forced Duffing system with frequency switching is taken …

[HTML][HTML] Effect of a modulated acoustic field on the dynamics of a vibrating charged bubble

OT Kolebaje, UE Vincent, BE Benyeogor… - Ultrasonics, 2023 - Elsevier
We investigate the effect of amplitude-modulated acoustic irradiation on the dynamics of a
charged bubble vibrating in a liquid. We show that the potential V (x) of the bubble, and the …

Route to mixed-mode oscillations via step-shaped sharp transition of equilibria in a nonlinear gyroscope oscillator

M Wei, X Han, Q Bi - Communications in Nonlinear Science and Numerical …, 2023 - Elsevier
Sharp transitions in relation to the variation of system parameters are frequently
encountered in many multiple-timescale systems, and they have been found to be an …

Vibrational resonance in bichromatically excited diatomic molecules in a shifted molecular potential

OG Abamba, OT Kolebaje, UE Vincent… - Physical Review E, 2024 - APS
For bichromatically excited diatomic molecules modeled in a shifted Tietz-Wei molecular
potential, we demonstrate the occurrence of vibrational resonance (VR) when a saddle …

Occurrence of mixed-mode oscillations in a system consisting of a Van der Pol system and a Duffing oscillator with two potential wells

W Lyu, S Li, J Huang, Q Bi - Nonlinear Dynamics, 2024 - Springer
Mixed-mode oscillations (abbreviated as MMOs) belong to a typical kind of fast/slow
dynamical behavior, and how to investigate the mechanism is an important problem in …

Effect of biharmonic excitation on complex dynamics of a two-degree-of-freedom heavy symmetric gyroscope

JM Aguessivognon, CH Miwadinou… - Physica …, 2023 - iopscience.iop.org
This work analyzes the chaotic dynamics and the coexistence of attractors and their control
in the complex dynamics of a rotating gyroscope modeled following Euler angles using the …

Dynamics of a simple third-order autonomous MLC circuit

C Zhang - Physica Scripta, 2023 - iopscience.iop.org
This paper reports a new simple third-order memristive circuit only containing three
elements of inductor, capacitor, and active generalized memristor, from which rich dynamical …

Dynamics of N-elastically longitudinal coupled rotating pendulums with smooth and discontinuous nonlinearities: Generation of chaotic bursting with many orbits as a …

M Fan, JAO Ambassa, MJ Gouajio… - Chinese Journal of …, 2024 - Elsevier
The dynamics of a mechanical network, consisting of a certain number (N) of cells, in which
each unit cell consists of the irrational coupling of a simple pendulum and inclined mass …

Complex bursting oscillations induced by pulse-shaped explosion and integer frequency ratios in a Rayleigh–van der Pol system

Z Chen, X Ma, Q Bi - Pramana, 2023 - Springer
The pulse-shaped explosion (abbreviated as PSE) behavior, represented as the system
roots pulse-shaped quantitative changing sharply, is a new way to the bursting oscillations …