We present the generalized forms of Parrondo＇s paradox existing in fractional-order nonlinear systems. The gener- alization is implemented by applying a parameter switching （PS） algorithm to the corresponding initi...We present the generalized forms of Parrondo＇s paradox existing in fractional-order nonlinear systems. The gener- alization is implemented by applying a parameter switching （PS） algorithm to the corresponding initial value problems associated with the fractional-order nonlinear systems. The PS algorithm switches a system parameter within a specific set of N 〉 2 values when solving the system with some numerical integration method. It is proven that any attractor of the concerned system can be approximated numerically. By replacing the words ＂winning＂ and ＂loosing＂ in the classical Parrondo＇s paradox with ＂order＂ and ＂chaos＂, respectively, the PS algorithm leads to the generalized Parrondo＇s paradox： chaos1 ＋ chaos2 ＋..- ＋ chaosN = order and order1 ＋ order2 ＋.-. ＋ orderN = chaos. Finally, the concept is well demon- strated with the results based on the fractional-order Chen system.展开更多
Rober Frost, as one of American 20^(th) century leading poets, demostrates his paradoxical and contradictory views in his poetry——love and complaint. The paper proves that the lover's quarrel is an important the...Rober Frost, as one of American 20^(th) century leading poets, demostrates his paradoxical and contradictory views in his poetry——love and complaint. The paper proves that the lover's quarrel is an important theme in his peotry by analyzing Robert's love and quarrel with the world from three aspects in respect to his personal experience and social background in his age.展开更多
针对基于Levenberg-Marquardt方法辨识黄酒发酵过程模型参数时易陷入局部最优,收敛速度慢,很难准确获取具有强泛化能力的模型参数的问题,提出了一种具有莱维飞行机制和柯西变异的蚁狮优化算法(ant lion optimization with Levy flight a...针对基于Levenberg-Marquardt方法辨识黄酒发酵过程模型参数时易陷入局部最优,收敛速度慢,很难准确获取具有强泛化能力的模型参数的问题,提出了一种具有莱维飞行机制和柯西变异的蚁狮优化算法(ant lion optimization with Levy flight and Cauchy mutation,LCALO),该算法采用基于莱维飞行和柯西变异来解决这类问题。莱维飞行可以提高算法的全局搜索能力,而柯西变异有助于避免陷入局部最优。结果表明,相比于遗传算法、粒子群算法和蚁狮算法,LCALO的收敛速度快,具有全局搜索能力和局部开发能力好的优点。最后将改进算法应用于黄酒发酵模型的参数辨识,仿真结果证明该算法具有较好的参数辨识能力。展开更多
文摘We present the generalized forms of Parrondo＇s paradox existing in fractional-order nonlinear systems. The gener- alization is implemented by applying a parameter switching （PS） algorithm to the corresponding initial value problems associated with the fractional-order nonlinear systems. The PS algorithm switches a system parameter within a specific set of N 〉 2 values when solving the system with some numerical integration method. It is proven that any attractor of the concerned system can be approximated numerically. By replacing the words ＂winning＂ and ＂loosing＂ in the classical Parrondo＇s paradox with ＂order＂ and ＂chaos＂, respectively, the PS algorithm leads to the generalized Parrondo＇s paradox： chaos1 ＋ chaos2 ＋..- ＋ chaosN = order and order1 ＋ order2 ＋.-. ＋ orderN = chaos. Finally, the concept is well demon- strated with the results based on the fractional-order Chen system.
文摘Rober Frost, as one of American 20^(th) century leading poets, demostrates his paradoxical and contradictory views in his poetry——love and complaint. The paper proves that the lover's quarrel is an important theme in his peotry by analyzing Robert's love and quarrel with the world from three aspects in respect to his personal experience and social background in his age.
文摘针对基于Levenberg-Marquardt方法辨识黄酒发酵过程模型参数时易陷入局部最优,收敛速度慢,很难准确获取具有强泛化能力的模型参数的问题,提出了一种具有莱维飞行机制和柯西变异的蚁狮优化算法(ant lion optimization with Levy flight and Cauchy mutation,LCALO),该算法采用基于莱维飞行和柯西变异来解决这类问题。莱维飞行可以提高算法的全局搜索能力,而柯西变异有助于避免陷入局部最优。结果表明,相比于遗传算法、粒子群算法和蚁狮算法,LCALO的收敛速度快,具有全局搜索能力和局部开发能力好的优点。最后将改进算法应用于黄酒发酵模型的参数辨识,仿真结果证明该算法具有较好的参数辨识能力。
