The generalized dynamic Tullock contest model with two homogeneous participants is established, in which both players have the same valuation of winning rewards and losing rewards. Firstly, the unique symmetric equili...The generalized dynamic Tullock contest model with two homogeneous participants is established, in which both players have the same valuation of winning rewards and losing rewards. Firstly, the unique symmetric equilibrium point of the system is obtained by calculation and its local stability condition is given based on the Jury criterion. Then, two paths of the system from stability to chaos, namely flip bifurcation and Neimark-Sacker bifurcation, are analyzed by using the two-dimensional parametric bifurcation diagram. Meanwhile, the abundant Arnold tongues in the two-dimensional parametric bifurcation diagram are analyzed. Finally, the phenomenon of multistability of the system is illustrated through the basin of attraction, and the contact bifurcation occurs during the evolution of the basin of attraction with varying parameters.展开更多
With the rise of artificial intelligence and the rapid development of industrial applications based on deep learning,the demand for innovative and practical talents is rapidly increased.The cultivation of talents in c...With the rise of artificial intelligence and the rapid development of industrial applications based on deep learning,the demand for innovative and practical talents is rapidly increased.The cultivation of talents in computer discipline has attracted a lot of attention from universities,research institutions,and Internet giants.Subject contests play a crucial role in cultivating top undergraduate talents.This paper proposes a cultivation model that takes the industry application of deep learning as the background,and guides students to learn,practice,and innovate incrementally from machine learning application to deep learning application by participating in subject contests.It aims to help undergraduates to master the cutting-edge technologies and applications,and ultimately cultivate top,innovative,and practical undergraduate talents in the computer field in the era of artificial intelligence.展开更多
基金National Natural Science Foundation of China (No. 61863022)China Postdoctoral Science Foundation,China (No. 2017M623276)。
文摘The generalized dynamic Tullock contest model with two homogeneous participants is established, in which both players have the same valuation of winning rewards and losing rewards. Firstly, the unique symmetric equilibrium point of the system is obtained by calculation and its local stability condition is given based on the Jury criterion. Then, two paths of the system from stability to chaos, namely flip bifurcation and Neimark-Sacker bifurcation, are analyzed by using the two-dimensional parametric bifurcation diagram. Meanwhile, the abundant Arnold tongues in the two-dimensional parametric bifurcation diagram are analyzed. Finally, the phenomenon of multistability of the system is illustrated through the basin of attraction, and the contact bifurcation occurs during the evolution of the basin of attraction with varying parameters.
基金supported by the National Natural Science Foundation of China(No.62171325)the Experimental Technology Project of Wuhan University(No.WHU-2022-SYJS-11)the New Generation Computer Innovation and Entrepreneurship Center Project of Wuhan University。
文摘With the rise of artificial intelligence and the rapid development of industrial applications based on deep learning,the demand for innovative and practical talents is rapidly increased.The cultivation of talents in computer discipline has attracted a lot of attention from universities,research institutions,and Internet giants.Subject contests play a crucial role in cultivating top undergraduate talents.This paper proposes a cultivation model that takes the industry application of deep learning as the background,and guides students to learn,practice,and innovate incrementally from machine learning application to deep learning application by participating in subject contests.It aims to help undergraduates to master the cutting-edge technologies and applications,and ultimately cultivate top,innovative,and practical undergraduate talents in the computer field in the era of artificial intelligence.