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策略委托下古诺双寡头博弈的动力学行为
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作者 吴怡晓 褚衍东 《咸阳师范学院学报》 2023年第6期17-26,共10页
在传统Cournot模型的基础上,建立了一个基于策略委托和相对利润的动态博弈模型。首先,用Jacobian矩阵及Jury判据对系统均衡点的局部稳定性进行了分析。其次,用数值模拟的方法,结合二维分岔图,研究了系统在不同参数空间下的稳定区域以及... 在传统Cournot模型的基础上,建立了一个基于策略委托和相对利润的动态博弈模型。首先,用Jacobian矩阵及Jury判据对系统均衡点的局部稳定性进行了分析。其次,用数值模拟的方法,结合二维分岔图,研究了系统在不同参数空间下的稳定区域以及其中Arnold舌的排列规律,并利用吸引盆分析了一维分岔图中的非常规分岔现象及系统的全局分岔行为。研究表明,模型中的不同参数对系统稳定性有显著影响。委托系数越大,调整速度越小,在一定范围内边际成本越高,越有利于企业的发展。此研究对于深入了解Cournot竞争模型在动态博弈下的动力学行为具有重要意义。 展开更多
关键词 策略委托 分形舌 吸引子共存 全局分岔
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A Tongue-images Segmentation Method Based on Local Restoration and Watershed Algorithm 被引量:1
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作者 ZHANG Ling QIN Jian 《Chinese Journal of Biomedical Engineering(English Edition)》 2010年第1期1-7,共7页
Objective: To propose a method to segment tongue- images efficiently, and extract tongue- body accurately and quickly. Methods: Firstly, a kind of color- images' pre- processing technique was used to solve tongue-... Objective: To propose a method to segment tongue- images efficiently, and extract tongue- body accurately and quickly. Methods: Firstly, a kind of color- images' pre- processing technique was used to solve tongue- surface reflection problem. Neighbouring and similar region's information was used to restore the region with tongue- surface reflection problem by replacement. Secondly, the restored image was transformed into a gray one, and then processed by mathematical morphological operation- dilation to get a closed- loop edge. The third technique used was watershed algorithm, which is an usual tool in image segmentation. 'Watershed' function of matlab software was used to complete this algorithm. After that, region- combination technique was used. Through measuring neighbourship and similarity of regions, a non- objective and non- background region was merged into one of its neighbouring regions. This step was repeated until only two regions, objective and background regions, were left in the image. At last, corresponding to the merged image, tongue- body image was got from the original image. Results: 316 images were randomly taken from the image library for experiments, and 299 images were correctly segmented, so, the successful ratio is 94.62%. On the other hand, average time of running this method was about 50 s under whole sampling environment. Conclusion: The method presented in this paper can segment a tongue- body image from its original one effectively, and thus laying a good foundation for the following analysis work. 展开更多
关键词 local restoration watershed algorithm tongue-body segmentation mathmatical morphology
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