Phase synchronization between neurons under nonlinear coupling via hybrid synapse

P Zhou, J Ma, Y Xu - Chaos, Solitons & Fractals, 2023 - Elsevier
Biological neurons and nonlinear circuits contain certain inner field energy, and an
equivalent Hamilton energy function can be obtained to discern the dependence of firing …

Chaotic bursting patterns induced by transient chaos in a smooth three-dimensional dynamic model

H Zhao, X Ma, Q Bi - International Journal of Non-Linear Mechanics, 2024 - Elsevier
This paper aims to report the transient-chaos-induced chaotic bursting oscillations in a
smooth three-dimensional dynamic model with a low-frequency excitation when an order …

The mechanism of periodic and chaotic bursting patterns in an externally excited memcapacitive system

H Zhao, X Ma, W Yang, Z Zhang, Q Bi - Chaos, Solitons & Fractals, 2023 - Elsevier
In this paper, a multi-time-scale-coupled nonlinear dynamic system is constructed by
introducing an external excitation into a charge-controlled memcapacitive system. We report …

Symmetric and asymmetric bursting oscillations in a hybrid van der Pol-Duffing-Rayleigh system

X Ma, Z Zhang - Chaos, Solitons & Fractals, 2024 - Elsevier
Inspired by the excited harmonic oscillations in complex dynamical models, this paper
addresses the influence of low-frequency amplitude-modulated excitation on oscillating …

A map neuron with piezoelectric membrane, energy regulation and coherence resonance

Y Li, Q Guo, C Wang, J Ma - Communications in Nonlinear Science and …, 2024 - Elsevier
The cell membrane has a layered structure, which separates the intracellular and
extracellular ions for developing gradient electromagnetic field, and its flexible property …

Time-varying parameters induced extreme events in Liénard systems and network

SL Kingston - Chaos, Solitons & Fractals, 2024 - Elsevier
In this study, we have explored the effect of time-varying parameters in a forced Liénard
system. The system exhibits extreme events that manifest occasional large deviations from …

Mixed-mode oscillations of an atomic force microscope in tapping mode

P Song, X Li, J Cui, K Chen, Y Chu - Chaos: An Interdisciplinary …, 2024 - pubs.aip.org
In the phenomenon of mixed-mode oscillations, transitions between large-amplitude and
small-amplitude oscillations may lead to anomalous jitter in the probe of a tapping mode …

On the occurrence of bursting oscillations in the damping Helmholtz–Rayleigh–Duffing oscillator with slow-changing parametrical and external forcings

C Zhang, Q Tang - Physica Scripta, 2023 - iopscience.iop.org
Multiple timescale effects can be reflected bursting oscillations in many classical nonlinear
oscillators. In this work, we are concerned about the bursting oscillations induced by two …

Bursting oscillation characteristics and adaptive high‐order differential feedback controller of doubly fed induction generator system

K Wang, W Chen, Z Wei - International Journal of Circuit Theory and … - Wiley Online Library
To address the problem of bursting oscillations in doubly fed induction generator (DFIG)
systems under external disturbances, an analysis method based on fast‐slow dynamics and …