A new chaotic multi-stable hyperjerk system with various types of attractors

K Rajagopal, Y Shekofteh, F Nazarimehr, C Li… - Indian Journal of …, 2022 - Springer
In this paper, a multi-stable chaotic hyperjerk system with both self-excited and hidden
attractors is proposed. Such a system is infrequent between dynamical systems. State …

Experiment and simulation research on synchronization control of shaking tables system based on adaptive sliding mode controller

L Zhang, J Feng, W Qiu, L Zhang - Journal of Vibration Engineering & …, 2023 - Springer
Background Electro-hydraulic shaking tables system is used in many vibration tests to
replicate earthquake motion to evaluate structural performances and potential problems …

Dynamical analysis of a new fractional-order Rabinovich system and its fractional matrix projective synchronization

J He, F Chen - Chinese journal of physics, 2018 - Elsevier
This paper constructs a new physical system, ie, the fractional-order Rabinovich system, and
investigates its stability, chaotic behaviors, chaotic control and matrix projective …

Full state hybrid projective synchronization of a novel incommensurate fractional order hyperchaotic system using adaptive mechanism

A Razminia - Indian Journal of Physics, 2013 - Springer
In this paper, full state hybrid projective synchronization of two new incommensurate
fractional hyperchaotic systems are presented. The synchronization is achieved under a …

Robust synchronization for a class of fractional-order dynamical system via linear state variable

C Li, J Xiong, W Li, Y Tong, Y Zeng - Indian Journal of Physics, 2013 - Springer
This paper reports the issue of robust synchronization for a class of fractional-order
dynamical system with parameter mismatch and stochastic disturbance. Based on the …

Finite-time modified projective synchronization between two different chaotic systems with parameter and model uncertainties and external disturbances via sliding …

RZ Luo, YL Wang - Indian Journal of Physics, 2014 - Springer
In this paper, a sliding model control approach is introduced to realize modified projective
synchronization between two different chaotic systems in a finite time. The effects of …

Analysis, Stabilization, and DSP‐Based Implementation of a Chaotic System with Nonhyperbolic Equilibrium

XB Yang, YG He, CL Li, CQ Liu - Complexity, 2020 - Wiley Online Library
This paper reports an autonomous dynamical system, and it finds that one nonhyperbolic
zero equilibrium and two hyperbolic nonzero equilibria coexist in this system. Thus, it is …

[PDF][PDF] Adaptive modified projective synchronization of gyroscopes with unknown parameters and external disturbances

H Tirandaz - ICIC Express Lett., 2018 - scholar.archive.org
In this study, chaos synchronization problem of two gyroscopes is addressed. The outputs of
state variables are affected by noise disturbances. In addition, the parameters of the system …

Also of Interest

G Baumslag, B Fine, M Kreuzer, G Rosenberger - degruyter.com
Since meteorologist Lorenz discovered chaotic phenomenon in 1963, it has been widely
and deeply studied. Chaos theory is known as the third scientific theoretical revolution …

Synchronization control for chaotic systems based on adaptive method

W Qing-qing, L Tao - The 27th Chinese Control and Decision …, 2015 - ieeexplore.ieee.org
Two kinds of synchronization control are proposed for chaotic systems with constant
Lyapunov spectrum based on adaptive method. The first method can realize complete …