In this paper, we discuss the Poincaré bifurcation for a class of quadratic systems with an unbounded triangular region and a center region. It is proved, by Poincaré bifurcation, that inside the center regi...In this paper, we discuss the Poincaré bifurcation for a class of quadratic systems with an unbounded triangular region and a center region. It is proved, by Poincaré bifurcation, that inside the center region quadratic system perturbed by quadratic polynomial perturbation may generate three limit cycles.展开更多
In the early 1980s, Chinese meteorologists discovered the positive correlation in summer rainfall between India and North China and the correlation was later confirmed by some researches in and outside China. Based on...In the early 1980s, Chinese meteorologists discovered the positive correlation in summer rainfall between India and North China and the correlation was later confirmed by some researches in and outside China. Based on a variety of meteorological data from 1951 to 2005 and numerical simulations, the present study investigates such a correlation between Indian summer monsoon （ISM） and precipitation in North China. Furthermore, we discuss the intrinsic relations of the positive （Northwest India）-negative （the Tibetan Plateau）-positive （North China） precipitation anomaly teleconnection pattern from two aspects of thermal and dynamical factors, which not only confirms the precipitation teleconnection previously discovered again, but also reveals the influence mechanism of the ISM on the rainfall in North China. The results show that： （1） When the ISM is strong （weak）, the precipitation in North China tends to be more （less） than normal; however, when the rainfall in North China is more （less） than normal, the probability of the strengthening （weakening） of the ISM is relatively lower. This implies that the ISM anomaly has more impact on the rainfall in North China. （2） The Indian low usually dominantly impacts the intensity of the ISM. When the Indian low deepens, the low troughs in mid-high latitudes are frequently strengthened, and the ridge of the western Pacific subtropical high （WPSH） extends westward. The southwesterly water vapor transport originated from low-latitudes and the southeasterly water vapor transport along the southwestern flank of the WPSH converge in North China, which is favorable for more rainfall there than normal, and vice versa. （3） The simulations from the regional climate model developed by National Climate Center （ReGCM_NCC） capture the salient feature of the precipitation teleconnection between India and North China. The simulated anomalous atmospheric existence of such a teleconnection from another circulations are close to observations, which confirms the angle.展开更多
基金Supported by NSF and RFDP of China and China Postdoctoral Science Foundation (No.10471014).
文摘In this paper, we discuss the Poincaré bifurcation for a class of quadratic systems with an unbounded triangular region and a center region. It is proved, by Poincaré bifurcation, that inside the center region quadratic system perturbed by quadratic polynomial perturbation may generate three limit cycles.
基金Supported by the National Plan on Key Basic Research and Development (2006CB403604).
文摘In the early 1980s, Chinese meteorologists discovered the positive correlation in summer rainfall between India and North China and the correlation was later confirmed by some researches in and outside China. Based on a variety of meteorological data from 1951 to 2005 and numerical simulations, the present study investigates such a correlation between Indian summer monsoon （ISM） and precipitation in North China. Furthermore, we discuss the intrinsic relations of the positive （Northwest India）-negative （the Tibetan Plateau）-positive （North China） precipitation anomaly teleconnection pattern from two aspects of thermal and dynamical factors, which not only confirms the precipitation teleconnection previously discovered again, but also reveals the influence mechanism of the ISM on the rainfall in North China. The results show that： （1） When the ISM is strong （weak）, the precipitation in North China tends to be more （less） than normal; however, when the rainfall in North China is more （less） than normal, the probability of the strengthening （weakening） of the ISM is relatively lower. This implies that the ISM anomaly has more impact on the rainfall in North China. （2） The Indian low usually dominantly impacts the intensity of the ISM. When the Indian low deepens, the low troughs in mid-high latitudes are frequently strengthened, and the ridge of the western Pacific subtropical high （WPSH） extends westward. The southwesterly water vapor transport originated from low-latitudes and the southeasterly water vapor transport along the southwestern flank of the WPSH converge in North China, which is favorable for more rainfall there than normal, and vice versa. （3） The simulations from the regional climate model developed by National Climate Center （ReGCM_NCC） capture the salient feature of the precipitation teleconnection between India and North China. The simulated anomalous atmospheric existence of such a teleconnection from another circulations are close to observations, which confirms the angle.
