集合种群的延时效应

用简化的延时率函数模型对集合种群的稳定性和平均灭绝时间进行研究.对集合种群的定态概率分布函数和平均首通时间的分析和计算,发现：1)延迟时间增大将使集合种群在斑块中占有率减小;2) 随延迟时间增大,集合种群的灭绝时间将会减小. 关键词： 集合种群 延时效应 灭绝时间     

SPECTRAL VARIABILITY AND TRANSIENT INJECTION OF RELATIVISTIC ELECTRONS FOR BL LAC OBJECTS

The spectral hardening with increasing intensity in optical range for four BL Lac objects have been found by analyzing our observed data. Making use of the synchrotron loss of transient injection of relativistic electrons, we succeeded in explaining the phenomenon of the spectral hardening in the outburst phase. The value of magnetic intensity and the limit condition of the transient injection of relativistic electrons seem to be reasonable.     

时间延迟增强双稳系统的共振抑制

研究了时间延迟对双稳系统激活率的影响.在短时间延迟的情况下,应用最陡下降法导出延迟双稳系统的平均首通时间表达式和相应的与延迟时间有关的激活率表达式.数值计算结果表明,时间延迟可以增强双稳系统的共振抑制.     

时间延迟增强双稳系统的共振抑制

研究了时间延迟对双稳系统激活率的影响.在短时间延迟的情况下,应用最陡下降法导出延迟双稳系统的平均首通时间表达式和相应的与延迟时间有关的激活率表达式.数值计算结果表明,时间延迟可以增强双稳系统的共振抑制.     

Steady-state analysis subject to a coloured and a white additive of a bistable system multiplicative noise noise with coloured cross-correlated noises

The steady-state properties of a bistable system are investigated when both the multiplicative noise and the coupling between additive and multiplicative noises are coloured with different values of noise correlation times T1 and T2. After introducing a dimensionless parameter R（R = α/D, D is the intensity of the multiplicative noise and a is the intensity of the additive noise）, and performing the numerical computations, we find the following points： （1） For the case of R 〉 1, A （the intensity of correlation between additive and multiplicative noises）, T1 and T2 can induce the stationary probability distribution （SPD） transition from bimodal to unimodal in structure, but for the cases of R _〈 1, the bimodal structure is preserved; （2） a can also induce the SPD transition from bimodal to unimodal in structure; （3） the bimodal structure of the SPD exhibits a symmetrical structure as D increases.     

色噪声驱动的肿瘤细胞增长系统的瞬态性质:平均首通时间

研究了受色高斯噪声驱动的肿瘤细胞增长系统的瞬态态性质(平均首通时间T). 据Novikov定理和Fox近似方法得到相应的Fokker-Planck方程,使用最快下降法得到了肿瘤细胞增长系统的平均首通时间的解析表达式.经过数值计算,结果表明：肿瘤增长系统的T在正关联(0<λ<1, λ为关联噪声强度)和负关联(-1<λ<0)呈现出不同的特性. 正关联时,噪声强度和对应的关联时间在态转化过程中起着相反的作用;然而,负关联时,肿瘤增长系统的关键词： 色噪声 肿瘤细胞增长系统 平均首通时间     

GAMMA-RAY LIGHT CURVE AND PHASE-RESOLVED SPECTRA FROM GEMINGA PULSAR

We calculate the light curve and phase-resolved spectra of Geminga in a three-dimensional pulsar magnetosphere model. The light curve of gamma-rays is consistent with that observed if the magnetic inclination and viewing angle are ～50° and ～86° respectively. We also model the phase-resolved spectra of the Geminga pulsar.     

THE TRANSITION RATE OF A DOUBLE WELL SYSTEM DRIVEN BY CROSS-CORRELATED NOISES

The transition rate of a double well system driven by cross-correlated noises has been investigated, in when the correlation times between the noises are nonzero. From numerical computation, we find followings: (1) The transition rate decreases as the ,λ(λ is the strength of the correlations between noises) increases. (2) The transition rate increases as the τ(τ is the correlation time between noises) increases. It imglies that τ and λ play opposite roles in the transition rate of the system (3). For the case of perfectly correlated noises (λ= 1), there is no the suppressed phenomenon in the double well system with cross-correlated noise sources.     

Resonant-Like Activation in a Bistable System with Noise and Time Delay

A bistable system with noise and time delay is investigated. Theoretical analysis and stochastic simulation show that： （i） In the ease of a system driven only by multiplicative Gaussian white noise, the mean first-passage time for a particle to reach the other stable state from one stable state exhibits a minimum with respect to delay time, i.e., a resonant-like activation （RA） phenomenon. （ii） In the action of additive and multiplicative noise, as the additive noise intensity increases, no matter whether a correlation between the two types of noise exists or not, the RA gradually disappears. （iii） The correlation strength between the two types of noise does not influence the existence of the RA.