Generating one to four-wing hidden attractors in a novel 4D no-equilibrium chaotic system with extreme multistability

S Zhang, Y Zeng, Z Li, M Wang, L Xiong - Chaos: An Interdisciplinary …, 2018 - pubs.aip.org
By using a simple state feedback controller in a three-dimensional chaotic system, a novel
4D chaotic system is derived in this paper. The system state equations are composed of nine …

Light-powered self-excited bouncing of a liquid crystal elastomer ball

P Xu, J Jin, K Li - International Journal of Mechanical Sciences, 2021 - Elsevier
Light-powered self-excited motions of liquid crystal elastomers (LCEs) have great
application prospects in the fields of actuators, soft robots, medical devices and micro-nano …

Self-oscillation and self-rotation of an optically-responsive liquid crystal elastomer pendulum

T Sun, K Li, Y Dai, J Zhao - International Journal of Mechanical Sciences, 2022 - Elsevier
Liquid crystal elastomers (LCEs) have been widely used in active machinery, optical
machinery, robotics, biological materials, medical and other fields, with advantage of good …

Hidden extreme multistability, antimonotonicity and offset boosting control in a novel fractional-order hyperchaotic system without equilibrium

S Zhang, Y Zeng, Z Li, C Zhou - International Journal of Bifurcation …, 2018 - World Scientific
Recently, the notion of hidden extreme multistability and hidden attractors is very attractive in
chaos theory and nonlinear dynamics. In this paper, by utilizing a simple state feedback …

The effect of the presence of obstacles on the dynamic response of single-degree-of-freedom systems: Study of the scenarios aimed at vibration control

G Stefani, M De Angelis, U Andreaus - Journal of Sound and Vibration, 2022 - Elsevier
In this paper, the effect of the presence of (existing or newly added) deformable and
dissipative obstacles (bumpers) on the nonlinear dynamic response of a single-degree-of …

Novel two-parameter dynamics of impact oscillators near degenerate grazing points

S Yin, G Wen, J Ji, H Xu - International Journal of Non-Linear Mechanics, 2020 - Elsevier
Following the previous work on the degenerate grazing bifurcations of impact oscillators, this
paper aims to explore novel two-parameter dynamics near the degenerate grazing points …

A novel simple no-equilibrium chaotic system with complex hidden dynamics

S Zhang, Y Zeng, Z Li, M Wang, X Zhang… - International Journal of …, 2018 - Springer
By utilizing a linear state feedback controller in the famous Sprott-S system, a novel no-
equilibrium autonomous chaotic system is introduced in this paper. Although the newly …

Relationship between the contact force strength and numerical inaccuracies in piecewise-smooth systems

BE Saunders, R Vasconcellos, RJ Kuether… - International Journal of …, 2021 - Elsevier
This work studies the different types of behavior and inaccuracies that can occur when
contact is not adequately accounted for in a dynamical system with freeplay, as the strength …

Bifurcation analysis of non-linear oscillators interacting via soft impacts

JP Chávez, P Brzeski, P Perlikowski - International Journal of Non-Linear …, 2017 - Elsevier
In this paper we present a bifurcation analysis of two periodically forced Duffing oscillators
coupled via soft impact. The controlling parameters are the distance between the oscillators …

Three-dimensional mapping analysis of a capsule system with bilateral elastic constraints

Y Zheng, Q Li, W Zhang, J Lei - Chaos, Solitons & Fractals, 2023 - Elsevier
The three-dimensional mapping of the capsule system with bilateral elastic constraints is
studied, which is rarely seen in the literature at present. The bilaterally constrained elastic …