Currently, rural China is committed to constructing beautiful countryside and promoting ecological progress. However, this process is accompanied with a distinct misconception that eco–countryside construction only s...Currently, rural China is committed to constructing beautiful countryside and promoting ecological progress. However, this process is accompanied with a distinct misconception that eco–countryside construction only serves as a solution to rural environmental pollution and a tool for ecological progress, instead of a strategy for the innovation and development of the Chinese economy. China's eco–countryside construction concerns its future economic development and transformation, as well as the improvement of the rural environment. This eco–countryside construction should be supposed to be a great strategy to boost China's ecological progress. It is designed to bring about new economic drivers and rural prosperity. From a philosophical perspective, this paper reviews China's eco–countryside construction, specifies its strategic value to economic development, and practical significance to the innovation of the Chinese economy.展开更多
This paper investigates the generation of complex bursting patterns in Van der Pol system with two slowly changing external forcings. Complex bursting patterns, including complex periodic bursting and chaotic bursting...This paper investigates the generation of complex bursting patterns in Van der Pol system with two slowly changing external forcings. Complex bursting patterns, including complex periodic bursting and chaotic bursting, are presented for the cases when the two frequencies are commensurate and incommensurate. These complex bursting patterns are novel and have not been reported in previous work. Based on the fast-slow dynamics, the evolution processes of the slow forcing are presented to reveal the dynamical mechanisms undedying the appearance of these complex bursting patterns. With the change of ampli- tudes and frequencies, the slow forcing may visit the spiking and rest areas in different ways, which leads to the generation of different complex bursting patterns.展开更多
By introducing the periodic parameter-switching signal to the Lorenz oscillator, a switched dynamic model is established. In order to investigate the mechanism of the behaviors of the whole system, bifurcation sets of...By introducing the periodic parameter-switching signal to the Lorenz oscillator, a switched dynamic model is established. In order to investigate the mechanism of the behaviors of the whole system, bifurcation sets of the subsystems are derived and the Poincar6 map of the switched system is defined by suitable local sections and local maps. Under certain parameter conditions, symmetric periodic oscillations may be observed. With the variation of parameter, the symmetry-breaking bifurcation mecha- nisms of the symmetric periodic oscillations can be understood by calculating the associated maximal Lyapunov exponent and Floquet multiplies. Meanwhile, the parameter values of the related local bifurcations, such as saddle-node, pitchfork and peri- od-doubling bifurcations are calculated based on the Floquet multiplies.展开更多
基金a staged research result of "Studies in the Rural Ethics of China"[15ZDB014]–a major program of National Social Sciences Fund
文摘Currently, rural China is committed to constructing beautiful countryside and promoting ecological progress. However, this process is accompanied with a distinct misconception that eco–countryside construction only serves as a solution to rural environmental pollution and a tool for ecological progress, instead of a strategy for the innovation and development of the Chinese economy. China's eco–countryside construction concerns its future economic development and transformation, as well as the improvement of the rural environment. This eco–countryside construction should be supposed to be a great strategy to boost China's ecological progress. It is designed to bring about new economic drivers and rural prosperity. From a philosophical perspective, this paper reviews China's eco–countryside construction, specifies its strategic value to economic development, and practical significance to the innovation of the Chinese economy.
基金supported by the National Natural Science Foundation of China (Grant Nos. 10872080, 20976075, 10972091 and 11102076)the Research Foundation for Advanced Talents of Jiangsu University (Grant No. 11JDG075)the Natural Science Foundation of Higher Education Institutions of Jiangsu Province (Grant No. 10KJD110006)
文摘This paper investigates the generation of complex bursting patterns in Van der Pol system with two slowly changing external forcings. Complex bursting patterns, including complex periodic bursting and chaotic bursting, are presented for the cases when the two frequencies are commensurate and incommensurate. These complex bursting patterns are novel and have not been reported in previous work. Based on the fast-slow dynamics, the evolution processes of the slow forcing are presented to reveal the dynamical mechanisms undedying the appearance of these complex bursting patterns. With the change of ampli- tudes and frequencies, the slow forcing may visit the spiking and rest areas in different ways, which leads to the generation of different complex bursting patterns.
基金supported by the National Natural Science Foundation of China (Grant Nos. 21276115, 11272135, 11202085)the Scientific Research Innovation Foundation of Jiangsu Province (Grant No. CXZZ13-0653)the Natural Science Foundation for Colleges and Universities of Jiangsu Province (Grant No. 11KJB130001)
文摘By introducing the periodic parameter-switching signal to the Lorenz oscillator, a switched dynamic model is established. In order to investigate the mechanism of the behaviors of the whole system, bifurcation sets of the subsystems are derived and the Poincar6 map of the switched system is defined by suitable local sections and local maps. Under certain parameter conditions, symmetric periodic oscillations may be observed. With the variation of parameter, the symmetry-breaking bifurcation mecha- nisms of the symmetric periodic oscillations can be understood by calculating the associated maximal Lyapunov exponent and Floquet multiplies. Meanwhile, the parameter values of the related local bifurcations, such as saddle-node, pitchfork and peri- od-doubling bifurcations are calculated based on the Floquet multiplies.
