Multistability and hidden attractors in the dynamics of permanent magnet synchronous motor

JP Singh, BK Roy, NV Kuznetsov - International Journal of …, 2019 - World Scientific
This paper attempts to find some interesting and unique properties in the dynamics of a
permanent magnet synchronous motor (PMSM). When compared with the existing literature …

Bounds for a new chaotic system and its application in chaos synchronization

F Zhang, Y Shu, H Yang - … in Nonlinear Science and Numerical Simulation, 2011 - Elsevier
This paper has investigated the localization problem of compact invariant sets of a new
chaotic system with the help of the iteration theorem and the first order extremum theorem. If …

[HTML][HTML] Energy cycle of brushless DC motor chaotic system

G Qi - Applied Mathematical Modelling, 2017 - Elsevier
The vector field of the brushless DC motor (BLDCM) chaotic system is regarded as the force
field of a pure mechanical system via the transformation of Kolmogorov system. The BLDCM …

On the boundness of some solutions of the Lü system

F Zhang, C Mu, X Li - International Journal of Bifurcation and Chaos, 2012 - World Scientific
ON THE BOUNDNESS OF SOME SOLUTIONS OF THE LÜ SYSTEM Page 1 February 9,
2012 15:15 WSPC/S0218-1274 1250015 International Journal of Bifurcation and Chaos, Vol …

Global Mittag-Leffler boundedness and synchronization for fractional-order chaotic systems

J Jian, K Wu, B Wang - Physica A: Statistical Mechanics and its Applications, 2020 - Elsevier
This paper deals with the issues of the global Mittag-Leffler boundedness and
synchronization for three-dimensional fractional order chaotic systems (FOCSs). First, by …

The dynamical analysis of a new chaotic system and simulation

F Zhang, C Mu, P Zheng, D Lin… - … Methods in the Applied …, 2014 - Wiley Online Library
In this paper, we make a study of dynamical properties of a nonlinear monetary system (1.1)
towards the solution of the localization problem of compact invariant sets of the system (1.1) …

Effects of couplings on the collective dynamics of permanent-magnet synchronous motors

B Zhang, XS Luo, SY Zeng, DY Qiu - IEEE Transactions on …, 2013 - ieeexplore.ieee.org
Recently, researchers have reported that couplings play a crucial role in determining
important evolutions of nonlinear systems. In this paper, the collective dynamics of two …

Controlling chaos in complex motor networks by environment

XH Mai, B Zhang, XS Luo - IEEE Transactions on Circuits and …, 2015 - ieeexplore.ieee.org
With certain connection probability and coupling constants, the motors in complex networks
fall into chaotic motion and threaten the secure and stable operation of the drive system. To …

Localization of compact invariant sets of discrete-time nonlinear systems

AN Kanatnikov, AP Krishchenko - International Journal of …, 2011 - World Scientific
In this paper, we examine the localization problem of compact invariant sets of discrete-time
nonlinear systems. The localization procedure consists in applying the iterative algorithm …

Localization of compact invariant sets of a new nonlinear finance chaotic system

G Cai, H Yu, Y Li - Nonlinear Dynamics, 2012 - Springer
The application of the nonlinear chaotic dynamic system in economics and finance has
expanded rapidly in the last decades. This paper considers the localization of all compact …