SMIT and SMU for research support(6100/SMIT/R&D/Project/05/2018)。
Superperiodicity,chaos and coexisting orbits of ion-acoustic waves(IAWs)are studied in a multi-component plasma consisting of fluid ions,q-nonextensive cold and hot electrons and Maxwellian hot positrons.The significa...
In this paper, an adaptive feedback controller is proposed to achieve the finite-time stability of dynamical system. In the proposed scheme, the feedback gain of the adaptive feedback controller is automatically tuned...
Project supported by China Postdoctoral Science Foundation(Grant No.2014M552175);the Scientific Research Foundation for the Returned Overseas Chinese Scholars,Chinese Education Ministry;the National Natural Science Foundation of China(Grant No.61172023);the Specialized Research Foundation of Doctoral Subjects of Chinese Education Ministry(Grant No.20114420110003)
In this paper, the structure of a new chaotic bitwise dynamical system (CBDS) is described. Compared to our previous research work, it uses various random bitwise operations instead of only one. The chaotic behavior...
Supported by the National Natural Science Foundation of China under Grant No 51475246;the Natural Science Foundation of Jiangsu Province under Grant No Bk20131402;the Ministry-of-Education Overseas Returnees Start-up Research Fund under Grant No[2012]1707
Linear transfer function approximations of the fractional integrators 1Is~ with m ^- 0.80-0.99 with steps of 0.01 are calculated systemically from the fractional order calculus and frequency-domain approximation metho...
For a long time it was a common opinion that hyperbolic attractors are artificial mathematical constructions. However, in the recent papers there were proposed physically realizable systems that possess, in their phas...
Supported by the National Natural Science Foundation of China(No.10071030)
We extend the Melnikov method to non-smooth dynamical systems to study the global behavior near a non-smooth homoclinic orbit under small time-periodic perturbations. The definition and an explicit expression for the ...
supported by the National Natural Science Foundation of China (11172260 and 11072213);the Fundamental Research Fund for the Central University of China (2011QNA4001)
We investigate a kind of noise-induced transition to noisy chaos in dynamical systems. Due to similar phenomenological structures of stable hyperbolic attractors excited by various physical realizations from a given s...
Project supported by National Natural Science Foundation of China (Grant No. 50275116), and National High-Technology Research and Development Program of China ( Nos. 2002AA414060, 2002AA503020)
Nonlinear dynamic behaviors of a rotor dynamical system with finite hydrodynamic bearing supports were investigated. In order to increase the numerical accuracy and decrease computing costs, the isoparametric finite e...
OGY method is the most important method of controlling chaos. It stabilizes a hyperbolic periodic orbit by making small perturbations for a system parameter. This paper improves the method of choosing parameter, and g...
Project partially supported by the Foundation of Zhongshan University Advanced Research Centre;by the Foundation of Guangdong Province
The development of dynamical systems bears a close relation to the ergodic theo-ry. The former discusses a continuous or differentiable action of a group on a topological space and the latter discusses the measure-pre...