The change of state of one map in the network of nonlocal coupled logistic maps at the transition of coherence is studied. With the increase of coupling strength, the network dynamics transits from the incoherent stat...The change of state of one map in the network of nonlocal coupled logistic maps at the transition of coherence is studied. With the increase of coupling strength, the network dynamics transits from the incoherent state into the coherent state. In the process, the iteration of the map first changes from chaos to period state, then from periodic to chaotic state again. For the periodic doubling bifurcations, similar to an isolated map, the largest Lyapunov exponent tends to zero from a negative value. However, the states of coupled maps exhibit complex behavior rather than converge to a few fixed values. The behavior brings a new chimera state of coupled logistic maps. The bifurcation diagram is identical to the phase order of maps iterations. For the bifurcation between 1-band and multi-band chaos, the symmetry of chaotic bands emerges and the transition of the order of iteration direction occurs.展开更多
Change-of-state events all involve complex event structures,but still differ in their levels of complexity.In Old Chinese,all types of change-of-state events could be expressed by individual characters,but as Chinese ...Change-of-state events all involve complex event structures,but still differ in their levels of complexity.In Old Chinese,all types of change-of-state events could be expressed by individual characters,but as Chinese evolved,many change-of-state expressions must resort to verbal compounds.By looking at the change-of-state expressions in different historical periods,this study finds that while the meaning of each character becomes increasingly atomic,the use of verbal compounds has been expanding The most dramatic expansion is seen in the expression of the gradient change of state,followed by the punctual change of state,but is not observed in the durative change-of-state expressions.Consistent with the principle of iconicity,“the durative change-the punctual change-the gradient change”represents a continuum of complexity in human conceptualization,with incremental mental distance between the action and the result state.This finding is also widely supported by cross-linguistic data.展开更多
基金Supported by the National Natural Science Foundation of China under Grant Nos 10875076,11305098 and 11147020the Fundamental Research Funds for the Central Universities under Grant No GK201302008the Interdisciplinary Incubation Project of Shaanxi Normal University under Grant No 5
文摘The change of state of one map in the network of nonlocal coupled logistic maps at the transition of coherence is studied. With the increase of coupling strength, the network dynamics transits from the incoherent state into the coherent state. In the process, the iteration of the map first changes from chaos to period state, then from periodic to chaotic state again. For the periodic doubling bifurcations, similar to an isolated map, the largest Lyapunov exponent tends to zero from a negative value. However, the states of coupled maps exhibit complex behavior rather than converge to a few fixed values. The behavior brings a new chimera state of coupled logistic maps. The bifurcation diagram is identical to the phase order of maps iterations. For the bifurcation between 1-band and multi-band chaos, the symmetry of chaotic bands emerges and the transition of the order of iteration direction occurs.
基金supported by the National Social Science Fund of China (Grant No. 20FYYB043)。
文摘Change-of-state events all involve complex event structures,but still differ in their levels of complexity.In Old Chinese,all types of change-of-state events could be expressed by individual characters,but as Chinese evolved,many change-of-state expressions must resort to verbal compounds.By looking at the change-of-state expressions in different historical periods,this study finds that while the meaning of each character becomes increasingly atomic,the use of verbal compounds has been expanding The most dramatic expansion is seen in the expression of the gradient change of state,followed by the punctual change of state,but is not observed in the durative change-of-state expressions.Consistent with the principle of iconicity,“the durative change-the punctual change-the gradient change”represents a continuum of complexity in human conceptualization,with incremental mental distance between the action and the result state.This finding is also widely supported by cross-linguistic data.
