the National Natural Science Foundation of China(Grant Nos.12305054,12172340,and 12371506)。
Hamilton energy,which reflects the energy variation of systems,is one of the crucial instruments used to analyze the characteristics of dynamical systems.Here we propose a method to deduce Hamilton energy based on the...
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(Granted No.40975027)
The steady axis-symmetrical atmosphere dynamical equations are used for describing spiral structure of tropical cyclones under four-force (pressure gradient force, Coriolis force, centrifugal force, and friction forc...
supported by the National Science and Technology Major Project of the Ministry of Science and Technology of China (Grant No. 2011ZX03005-002);the Shandong Academy of Science Development Fund for Science and Technology, China;the Pilot Project for Science and Technology in Shandong Academy of Science, China
In this paper, we propose a general method to simultaneously identify both unknown time delays and unknown model parameters in delayed dynamical systems based on the autosynchronization technique. The design procedure...
supported by the National Science and Technology Major Project,China(Grant No.2011ZX03005-002);the Shandong Academy of Science Development Fund for Science and Technology,China;the Pilot Project for Science and Technology in Shandong Academy of Sciences,China
In this paper we present an adaptive scheme to achieve lag synchronization for uncertain dynamical systems with time delays and unknown parameters. In contrast to the nonlinear feedback scheme reported in the previous...
Project supported by the National Outstanding Young Scientist Fund of China (Grant No. 10725209);the National Natural Science Foundation of China (GrantNos. 11072218 and 11272287);the Natural Science Foundation of Zhejiang Province,China (Grant No. Y6110314)
In this paper,Noether symmetry and Mei symmetry of discrete nonholonomic dynamical systems with regular and the irregular lattices are investigated.Firstly,the equations of motion of discrete nonholonomic systems are ...
Project supported by the Key Project of Ministry of Education of China (Grant No. 2010141);the National Natural Science Foundation of China (Grant No. 61203159)
The three most widely used methods for reconstructing the underlying time series via the recurrence plots (RPs) of a dynamical system are compared with each other in this paper. We aim to reconstruct a toy series, a...
supported by the National Natural Science Foundation of China (Grant No.11072218)
We obtain a new type of conserved quantity of Mei symmetry for the motion of mechanico--electrical coupling dynamical systems under the infinitesimal transformations. A criterion of Mei symmetry for the mechanico-elec...
Project supported by the National Natural Science Foundation of China (Grant Nos 10672143 and 60575055);the State Key Laboratory of Scientific and Engineering Computing, Chinese Academy of Sciences;the Natural Science Foundation of Henan Province Government, China (Grant No 0511022200)
A discrete total variation calculus with variable time steps is presented for mechanico-electrical systems where there exist non-potential and dissipative forces. By using this discrete variation calculus, the symplec...
Project supported by the National Natural Science Foundation of China (Grant Nos 10672143 and 60575055);the Natural Science Foundation of Henan Province, China (Grant No 0511022200)
A field method for integrating the equations of motion for mechanico-electrical coupling dynamical systems is studied. Two examples in mechanico-electrical engineering are given to illustrate this method.