Project supported by the National Natural Science Foundation of China(Grant Nos.11405110,11275129,and 11472177);the Natural Science Foundation of Zhejiang Province of China(Grant No.LY18A050001)
From a two-vortex interaction model in atmospheric and oceanic systems, a nonlocal counterpart with shifted parity and delayed time reversal is derived by a simple AB reduction. To obtain some approximate analytic sol...
supported by the National Natural Science Foundation of China(Grant Nos.11572212 and 11272227);the Innovation Program of Suzhou University of Science and Technology,China(Grant No.SKYCX16 012)
This paper focuses on studying the Noether symmetry and the conserved quantity with non-standard Lagrangians, namely exponential Lagrangians and power-law Lagrangians on time scales. Firstly, for each case, the Hamilt...
supported by the National Natural Science Foundation of China(Grant Nos.11572212 and 11272227);the Innovation Program for Graduate Student of Jiangsu Province,China(Grant No.KYLX16-0414)
The Routh and Whittaker methods of reduction for Lagrange system on time scales with nabla derivatives are studied.The equations of motion for Lagrange system on time scales are established, and their cyclic integrals...
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...
Project supported by the National Natural Science Foundation of China(Grant Nos.61170037 and 61074192)
In this paper, we design a novel three-order autonomous system. Numerical simulations reveal the complex chaotic behaviors of the system. By applying the undetermined coefficient method, we find a heteroclinic orbit i...
Project supported by the National Natural Science Foundation of China (Grant No. 11142014);the Scientific Research and Innovation Plan for College Graduates of Jiangsu Province,China (Grant No. CXLX12_0720)
Lie symmetry and conserved quantity deduced from Lie symmetry of Appell equations in a dynamical system of relative motion with Chetaev-type nonholonomic constraints are studied.The differential equations of motion of...
Project supported by the National Natural Science Foundation of China (Grant No. 20976075)
The behaviors of a system that alternates between the R¨ossler oscillator and Chua's circuit is investigated to explore the influence of the switches on the dynamical evolution.Switches related to the state variable...
Project supported by the National Natural Science Foundation of China (Grant No. 11142014 and 61178032)
The Mei symmetry and the Mei conserved quantity of Appell equations in a dynamical system of relative motion with non-Chetaev nonholonomic constraints are studied.The differential equations of motion of the Appell equ...
The Lie symmetry and Hojman conserved quantity of Nielsen equations in a dynamical system of relative motion with nonholonomic constraint of the Chetaev type are studied. The differential equations of motion of the Ni...
supported by the National Natural Science Foundation of China(Grant No.10865006);the Science Foundation of Yunnan University,China(Grant No.2009A01z);the Natural Science Foundation of Shaanxi Province,China(Grant No.2010JQ1014);the Science Foundation of Baoji University of Science and Arts of China(Grant No.ZK0954)
The effects of the time delay on the upper bound of the time derivative of information entropy are investigated in a time-delayed dynamical system driven by correlated noise. Using the Markov approximation of the stoc...