Project supported by the Fundamental Research Funds for the Central Universities ( 11CX04049A);National Natural Science Foundation of China ( 10872141)
Project supported by the National Natural Science Foundation of China (Grant Nos.11072168 and 10872141)
In this paper, the extended Pade approximant is used to construct the homoclinic and the heteroclinic trajectories in nonlinear dynamical systems that are asymmetric at origin. Meanwhile, the conservative system, the ...
Supported by National Natural Science Foundation of China(No. 10872141);Doctoral Foundation of Ministry of Education of China(No. 20060056005);Natural Science Foundation of Tianjin University of Science and Technology (No. 20070210)
A 3D continuous autonomous chaotic system is reported, which contains a cubic term and six system parameters. Basic dynamic properties of the new Van der Pol Jerk system are studied by means of theoretical analysis an...
Project supported by the National Natural Science Foundation of China (Grant No.10872141);the Specialized Research Fund for the Doctoral Program of Higher Education of China (Grant No.20060056005)
Based on the Silnikov criterion, this paper studies a chaotic system of cubic polynomial ordinary differential equations in three dimensions. Using the Cardano formula, it obtains the exact range of the value of the p...