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焦点量算法与中心条件推导 被引量:7
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作者 桑波 朱思铭 《数学物理学报(A辑)》 CSCD 北大核心 2008年第1期164-173,共10页
对于一般情形,基于后继函数法给出焦点量计算的递推公式;基于形式级数法给出焦点量计算和化简的Maple算法;给出了时间可逆条件的推导算法,给出了一类五次系统时间可逆的充要条件.
关键词 焦点量 后继函数 形式级数 中心条件
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褐飞虱发生系统的混沌诊断 被引量:4
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作者 许晓风 马飞 +1 位作者 邹运鼎 程遐年 《应用生态学报》 CAS CSCD 2003年第8期1359-1362,共4页
褐飞虱在我国常年发生面积约为 1 .3× 1 0 7~ 2× 1 0 7hm2 ,年均损失稻谷 1 0× 1 0 8kg.为更深入地研究褐飞虱发生系统的特性与规律 ,并为预测和防治提供理论依据 ,以我国长江流域太湖地区 1 986~1 998年 6~ 1 1月褐... 褐飞虱在我国常年发生面积约为 1 .3× 1 0 7~ 2× 1 0 7hm2 ,年均损失稻谷 1 0× 1 0 8kg.为更深入地研究褐飞虱发生系统的特性与规律 ,并为预测和防治提供理论依据 ,以我国长江流域太湖地区 1 986~1 998年 6~ 1 1月褐飞虱田间发生时间序列资料为例 ,运用混沌理论中的自相关函数、功率谱图、相轨迹图、Poincare截面、返回映象图等方法 ,研究了褐飞虱发生系统的特性 .结果表明 ,即使有随机性噪声的影响 。 展开更多
关键词 褐飞虱 功率谱图 返回映象 自相关函数 POINCARE截面 相轨迹图
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一种改进的混合差分混沌键控及性能分析 被引量:3
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作者 马骏 蒋铃鸽 何晨 《上海交通大学学报》 EI CAS CSCD 北大核心 2004年第11期1814-1817,共4页
将基于回归映射的非相干解调的混沌键控(CSK)与现有的差分混沌键控(DCSK)相结合,提出一种改进的基于回归映射的H-DCSK通信方案.理论分析和仿真结果表明,在占用带宽相同的条件下,H-DCSK比现有DCSK提高1倍码元速率,误码率性能比非相干解调... 将基于回归映射的非相干解调的混沌键控(CSK)与现有的差分混沌键控(DCSK)相结合,提出一种改进的基于回归映射的H-DCSK通信方案.理论分析和仿真结果表明,在占用带宽相同的条件下,H-DCSK比现有DCSK提高1倍码元速率,误码率性能比非相干解调CSK有很大提高,且具有在保密通信领域应用的可能. 展开更多
关键词 差分混沌键控 混沌键控 误码率 回归映射 非相干解调
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一种混沌跳频码的产生方法及其在通信中的应用 被引量:4
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作者 陈宏滨 冯久超 《吉林大学学报(工学版)》 EI CAS CSCD 北大核心 2008年第1期211-218,共8页
基于Logistic映射,根据返回映射和符号动力学的思想产生混沌跳频码。与已有的方法相比,产生的跳频码具有良好的性能,且抗预测和破译的能力较强。在此基础上,设计并实现了混沌跳频CSK通信系统和混沌跳频OFDM通信系统,对误码率的理论分析... 基于Logistic映射,根据返回映射和符号动力学的思想产生混沌跳频码。与已有的方法相比,产生的跳频码具有良好的性能,且抗预测和破译的能力较强。在此基础上,设计并实现了混沌跳频CSK通信系统和混沌跳频OFDM通信系统,对误码率的理论分析和仿真结果表明,该系统的抗噪声和多径干扰的能力较强。 展开更多
关键词 通信技术 混沌 跳频码 跳频通信系统 返回映射 误码率
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A predictive model of death from cerebrovascular diseases in intensive care units
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作者 Mohammad Karimi Moridani Seyed Kamaledin Setarehdan +1 位作者 Ali Motie Nasrabadi Esmaeil Hajinasrollah 《Intelligent Medicine》 EI CSCD 2023年第4期267-279,共13页
Objective This study aimed to explore the mortality prediction of patients with cerebrovascular diseases inthe intensive care unit(ICU)by examining the important signals during different periods of admission in theICU... Objective This study aimed to explore the mortality prediction of patients with cerebrovascular diseases inthe intensive care unit(ICU)by examining the important signals during different periods of admission in theICU,which is considered one of the new topics in the medical field.Several approaches have been proposed forprediction in this area.Each of these methods has been able to predict mortality somewhat,but many of thesetechniques require recording a large amount of data from the patients,where recording all data is not possiblein most cases;at the same time,this study focused only on heart rate variability(HRV)and systolic and diastolicblood pressure.Methods The ICU data used for the challenge were extracted from the Multiparameter Intelligent Monitoring inIntensive Care II(MIMIC-II)Clinical Database.The proposed algorithm was evaluated using data from 88 cerebrovascular ICU patients,48 men and 40 women,during their first 48 hours of ICU stay.The electrocardiogram(ECG)signals are related to lead II,and the sampling frequency is 125 Hz.The time of admission and time ofdeath are labeled in all data.In this study,the mortality prediction in patients with cerebral ischemia is evaluated using the features extracted from the return map generated by the signal of HRV and blood pressure.Topredict the patient’s future condition,the combination of features extracted from the return mapping generatedby the HRV signal,such as angle(𝛼),area(A),and various parameters generated by systolic and diastolic bloodpressure,including DBPMax−Min SBPSD have been used.Also,to select the best feature combination,the geneticalgorithm(GA)and mutual information(MI)methods were used.Paired sample t-test statistical analysis was usedto compare the results of two episodes(death and non-death episodes).The P-value for detecting the significancelevel was considered less than 0.005.Results The results indicate that the new approach presented in this paper can be compared with other methodsor leads to better results.The best combinatio 展开更多
关键词 Death prediction Cerebrovascular diseases Intensive care unit Heart rate variability Systolic and diastolic blood pressure return map
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基于空间统计模型的热带气旋路径模拟及其风险评估 被引量:3
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作者 廖远强 王斌会 漆嘉琦 《数理统计与管理》 CSSCI 北大核心 2014年第1期31-41,共11页
该研究致力于建立台风路径模拟模型,目的在于提高风险评估的稳健性和实用性。首先,采用中国台风网提供的CMA-STI热带气旋最佳路径数据集,以广东省为研究区域,通过引入空间统计模型,结合马尔可夫—蒙特卡罗方法模拟了西北太平洋的热带气... 该研究致力于建立台风路径模拟模型,目的在于提高风险评估的稳健性和实用性。首先,采用中国台风网提供的CMA-STI热带气旋最佳路径数据集,以广东省为研究区域,通过引入空间统计模型,结合马尔可夫—蒙特卡罗方法模拟了西北太平洋的热带气旋路径。进一步,参数和非参数假设检验结果表明模拟结果是合理的,可以作为风险评估的数据来源。在此基础上,本研究模拟出620年的台风路径,给出了以地级市为基础的重现期估计和风险图绘制方法。研究发现,模拟数据克服了历史数据的时空局限性,与历史数据相比较,基于模拟数据估计的重现水平更具准确性和稳定性;其次,采用模拟方法还可以绘制出历史数据无法实现的大比例风险图,很大程度上提高了风险评估的实用性.研究结果可以作为保险行业开展巨灾保险业务,政府部门制定防灾减灾规划的科学依据. 展开更多
关键词 空间点随机过程 马尔可夫蒙特卡罗模拟 风险评估 重现期 风险图
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一个电化学动力系统中的混合模式振荡 被引量:3
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作者 于蓉蓉 谢勇 +1 位作者 王震 惠小健 《信阳师范学院学报(自然科学版)》 CAS 北大核心 2017年第4期526-530,共5页
为了研究溴化铟(III)在含有大量硫氰酸钠电解液中扩散电化学系统的电流自激振荡,采用回归映射和庞加莱截面,考察混合模式振荡和混沌现象的动力学状态.根据数值模拟结果得出,电流的时间序列以某一特定序列的形式出现混合模式振荡行为,并... 为了研究溴化铟(III)在含有大量硫氰酸钠电解液中扩散电化学系统的电流自激振荡,采用回归映射和庞加莱截面,考察混合模式振荡和混沌现象的动力学状态.根据数值模拟结果得出,电流的时间序列以某一特定序列的形式出现混合模式振荡行为,并且出现了相邻两个周期状态交错出现的周期状态和混沌状态;通过电流的分岔图和周期图,从理论上分析了混合模式振荡行为的有序变化.结果表明:电化学模型呈现出的混合模式振荡行为有着规律的周期性变化,这与现有的文献结果保持一致. 展开更多
关键词 混沌 混合模式振荡 回归映射 庞加莱截面 峰峰间期 时间序列
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点燃式发动机燃烧稳定性的非线性动力学分析 被引量:1
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作者 刘帅 王忠 +2 位作者 赵洋 瞿磊 孙波 《农业工程学报》 EI CAS CSCD 北大核心 2016年第14期69-75,共7页
为了揭示点燃式发动机燃用汽油、液化石油气(liquefied petroleum gas,LPG)和压缩天然气(compressed natural gas,CNG)时,循环变动的动力学本质。采用非线性动力学的方法,围绕燃烧过程的稳定性开展了研究。分析了最大爆发压力的循环变... 为了揭示点燃式发动机燃用汽油、液化石油气(liquefied petroleum gas,LPG)和压缩天然气(compressed natural gas,CNG)时,循环变动的动力学本质。采用非线性动力学的方法,围绕燃烧过程的稳定性开展了研究。分析了最大爆发压力的循环变动系数,对缸内压力的时间序列进行了3维相空间的重构,采用庞加莱截面法简化了重构的相空间轨迹,分析了平均有效压力(indicated mean effective pressure,IMEP)的循环变动规律,围绕返回映射开展了研究。结果表明,缸内压力的相空间轨迹具有一定的混沌特性,燃烧初始阶段结构相对紧密;燃用汽油时,轨迹分布密集,燃用LPG和CNG时,轨迹逐渐发散,燃烧稳定性下降;庞加莱映射降低了相空间结构的复杂性,LPG和CNG燃烧时散点发散,燃烧参数随机性增强;汽油燃烧时,平均指示压力的循环变动较小,LPG和CNG燃烧时,循环变动逐渐增大,燃烧随机性增强。发动机燃烧过程具有混沌特性,燃用LPG和CNG时稳定性下降。通过论文的研究揭示了点燃式发动机燃烧过程循环变动的产生原因,为改善发动机的燃烧稳定性提供了理论依据。 展开更多
关键词 发动机 燃烧 相空间 重构 过程 庞加莱映射 返回映射
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Studies of phase return map and symbolic dynamics in a periodically driven Hodgkin–Huxley neuron
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作者 丁炯 张宏 +1 位作者 童勤业 陈琢 《Chinese Physics B》 SCIE EI CAS CSCD 2014年第2期161-167,共7页
How neuronal spike trains encode external information is a hot topic in neurodynamics studies. In this paper, we investigate the dynamical states of the Hodgkin-Huxley neuron under periodic forcing. Depending on the p... How neuronal spike trains encode external information is a hot topic in neurodynamics studies. In this paper, we investigate the dynamical states of the Hodgkin-Huxley neuron under periodic forcing. Depending on the parameters of the stimulus, the neuron exhibits periodic, quasiperiodic and chaotic spike trains. In order to analyze these spike trains quantitatively, we use the phase return map to describe the dynamical behavior on a one-dimensional (1D) map. According to the monotonicity or discontinuous point of the 1D map, the spike trains are transformed into symbolic sequences by implementing a coarse-grained algorithm -- symbolic dynamics. Based on the ordering rules of symbolic dynamics, the parameters of the external stimulus can be measured in high resolution with finite length symbolic sequences. A reasonable explanation for why the nervous system can discriminate or cognize the small change of the external signals in a short time is also presented. 展开更多
关键词 Hodgkin-Huxley neuron return map symbolic dynamics CHAOS
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扩展BVP振子弱周期扰动下的振荡与同步 被引量:2
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作者 于蓉蓉 谢勇 王震 《沈阳工业大学学报》 EI CAS 北大核心 2017年第4期401-405,共5页
针对扩展bonhoeffer-van der pol(BVP)振子易受不确定因素影响的问题,提出了将非线性动力学分析与数值模拟相结合的方法,并考察了弱扰动对混合模式振荡类型和同步行为的影响.根据模拟结果得知,多种类型的混合模式振荡受弱扰动的影响出... 针对扩展bonhoeffer-van der pol(BVP)振子易受不确定因素影响的问题,提出了将非线性动力学分析与数值模拟相结合的方法,并考察了弱扰动对混合模式振荡类型和同步行为的影响.根据模拟结果得知,多种类型的混合模式振荡受弱扰动的影响出现了坍塌现象,且从理论上证明了两个耦合bonhoeffer-van der pol振子的膜电压比慢变量到达完全同步时所需的耦合强度要大,在二维参数平面上,膜电压到达同步时所取参数范围应小些.结果表明,与膜电压相比,慢变量更容易达到同步,且变量之间呈现一种线性关系. 展开更多
关键词 混合模式振荡 同步 耦合 慢变量 分岔 弱周期扰动 回归映射 混沌
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神经元非线性动力学特征的模拟
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作者 易晓斌 《青海师范大学学报(自然科学版)》 2006年第2期31-33,共3页
本文在四阶Runge-Kutta方法求解HH神经元模型方程的基础上,通过计算机模拟了神经元分别输入直流动作电位和固定动作电位的反应,并应用时间间隔直方图和输入输出时间间隔的return map图做了分析说明.
关键词 神经元 膜电位 HH模型 动作电位 时间间隔 直方图 retum map
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基于猫映射的混沌通信改进方案
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作者 朱志良 宋经平 +1 位作者 崔坤 于海 《东北大学学报(自然科学版)》 EI CAS CSCD 北大核心 2010年第9期1242-1245,共4页
针对混沌同步的混沌通信方案存在的安全问题,提出了一种基于猫映射变换的改进方案.利用回归映射破解方法和功耗分析破解方法,攻击者可在混沌系统参数未知的情况下破解混沌信号.在所提出的改进方案中,发送端使用猫映射变换将混沌序列置乱... 针对混沌同步的混沌通信方案存在的安全问题,提出了一种基于猫映射变换的改进方案.利用回归映射破解方法和功耗分析破解方法,攻击者可在混沌系统参数未知的情况下破解混沌信号.在所提出的改进方案中,发送端使用猫映射变换将混沌序列置乱,利用置乱后的混沌序列作为载波进行通信;在接收端进行猫映射逆变换恢复出原始混沌序列,进而实现混沌同步,完成解调.所提出的改进方案简单、易于实现,能够有效地抵抗回归映射和功耗分析的破解. 展开更多
关键词 混沌通信 混沌同步 猫映射 回归映射 功耗分析
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大鼠初级传入纤维与脊髓背角神经元间的动作电序列的突触传递(英文) 被引量:1
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作者 万业宏 菅忠 +2 位作者 文治洪 王玉英 胡三觉 《生物物理学报》 CAS CSCD 北大核心 2004年第6期453-464,共12页
外周感觉神经元通过动作电位序列对信号进行编码,这些动作电位序列经过突触传递最终到达脑部。但是各种脉冲序列如何通过神经元之间的化学突触进行传递依然是一个悬而未决的问题。研究了初级传入Aδ纤维与背角神经元之间各种动作电位序... 外周感觉神经元通过动作电位序列对信号进行编码,这些动作电位序列经过突触传递最终到达脑部。但是各种脉冲序列如何通过神经元之间的化学突触进行传递依然是一个悬而未决的问题。研究了初级传入Aδ纤维与背角神经元之间各种动作电位序列的突触传递过程。用于刺激的规则、周期、随机脉冲序列由短簇脉冲或单个脉冲构成。定义“事件”(event)为峰峰间期(interspike interval)小于或等于规定阈值的最长动作电位串,然后从脉冲序列中提取事件间间期(in-terevent interval, IEI)。用时间-IEI图与回归映射的方法分析IEI序列,结果表明在突触后输出脉冲序列中可以检测到突触前脉冲序列的主要时间结构特征,特别是在短簇脉冲作为刺激单位时。通过计算输入与输出脉冲序列的互信息,发现短簇脉冲可以更可靠地跨突触传递由输入序列携带的神经信息。这些结果表明外周输入脉冲序列的主要时间结构特征可以跨突触传递,在突触传递神经信息的过程中短簇脉冲更为有效。这一研究在从突触传递角度探索神经信息编码方面迈出了一步。 展开更多
关键词 短簇脉冲 单个脉冲 事件间间隔 回归映射 互信息
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Collective behavior of coupled map lattices with different scales of local coupling 被引量:1
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作者 SHI WenJun 《Chinese Science Bulletin》 SCIE EI CAS 2011年第34期3723-3730,共8页
In this paper, I present a numerical study on the collective behavior of one-dimensional coupled map lattices with the nearest coupling to different scales for the whole system. Using the maximum Lyapunov exponent as ... In this paper, I present a numerical study on the collective behavior of one-dimensional coupled map lattices with the nearest coupling to different scales for the whole system. Using the maximum Lyapunov exponent as a tool for subsystem and return mapping, I observed several basic patterns of collective behavior and investigated the contrasts between the different scales. To study the mechanism, the system under entirely random perturbations was investigated using the Monte Carlo method and the contrast with the deterministic approach is given. The results show that the response to a random input is complicated and involves the correlation of different signals and taking into consideration the dynamic properties of the system itself. 展开更多
关键词 耦合映射格子 行为 集体 最大LYAPUNOV指数 耦合映象格子 蒙特卡罗方法 子系统 数值研究
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Nonlinear optimal control for robotic yoyo playing
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作者 袁德虎 金惠良 孟国香 《Journal of Central South University》 SCIE EI CAS 2011年第2期429-437,共9页
A general approach for controlling of periodical dynamic systems was presented by taking robotic yoyo as an example. The height of the robot arm when the yoyo arrives at the bottom was chosen as virtual control. The i... A general approach for controlling of periodical dynamic systems was presented by taking robotic yoyo as an example. The height of the robot arm when the yoyo arrives at the bottom was chosen as virtual control. The initial amplitude of yoyo could be mapped to the desired final amplitude by adjusting the virtual control. First,the yoyo motion was formulated into a nonlinear optimal control problem which contained the virtual control. The reference trajectory of robot could be obtained by solving the optimal problem with analytic method or more general numerical approach. Then,both PI and deadbeat control methods were used to control the yoyo system. The simulation results show that the analytic solution of the reference trajectory is identical to the numerical solution,which mutually validates the correctness of the two solution methods. In simulation,the initial amplitude of yoyo is set to be 0.22 m which is 10% higher than the desired final amplitude of 0.2 m. It can be seen that the amplitude achieves the desired value asymptotically in about five periods when using PI control,while it needs only one period with deadbeat control. The reference trajectory of robot is generated by optimizing a certain performance index; therefore,it is globally optimal. This is essentially different from those traditional control methods,in which the reference trajectories are empirically imposed on robot. What's more,by choosing the height of the robot arm when the yoyo arrives at the bottom as the virtual control,the motion of the robot arm may not be out of its stroke limitation. The proposed approach may also be used in the control of other similar periodical dynamic systems. 展开更多
关键词 robotic yoyo return map reference trajectory optimal control
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ARNEODO模型的研究
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作者 刘宗华 方海平 《广西大学学报(自然科学版)》 CAS CSCD 1994年第4期321-326,共6页
沿参数轴,Arncodo模型具有众多的吸引子和周期窗口。这些奇怪吸引子通过半周期分岔结束而进入周期窗口,然后又发生倍周期分岔而重新进入混沌。本文给出了其分岔机制并定出了对应这些周期窗口的符号字。
关键词 奇怪吸引子 周期窗口 回复映象 分岔 浑沌
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Sagittal SLIP-anchored task space control for a monopode robot traversing irregular terrain
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作者 Haitao YU Haibo GAO +1 位作者 Liang DING Zongquan DENG 《Frontiers of Mechanical Engineering》 SCIE CSCD 2020年第2期193-208,共16页
As a well-explored template that captures the essential dynamical behaviors of legged locomotion on sagittal plane,the spring-loaded inverted pendulum(SLIP)model has been extensively employed in both biomechanical stu... As a well-explored template that captures the essential dynamical behaviors of legged locomotion on sagittal plane,the spring-loaded inverted pendulum(SLIP)model has been extensively employed in both biomechanical study and robotics research.Aiming at fully leveraging the merits of the SLIP model to generate the adaptive trajectories of the center of mass(CoM)with maneuverability,this study presents a novel two-layered sagittal SLIP-anchored(SSA)task space control for a monopode robot to deal with terrain irregularity.This work begins with an analytical investigation of sagittal SLIP dynamics by deriving an approximate solution with satisfactory apex prediction accuracy,and a two-layered SSA task space controller is subsequently developed for the monopode robot.The higher layer employs an analytical approximate representation of the sagittal SLIP model to form a deadbeat controller,which generates an adaptive reference trajectory for the CoM.The lower layer enforces the monopode robot to reproduce a generated CoM movement by using a task space controller to transfer the reference CoM commands into joint torques of the multi-degree of freedom monopode robot.Consequently,an adaptive hopping behavior is exhibited by the robot when traversing irregular terrain.Simulation results have demonstrated the effectiveness of the proposed method. 展开更多
关键词 legged robots spring-loaded inverted pendulum task space control apex return map deadbeat control irregular terrain negotiation
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A NOTE ON THE STABILITY OF A CLASS OF DEGENERATE PLANAR CRITICAL POINTS
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作者 Tusen HUANG Qi ZHANG 《Journal of Systems Science & Complexity》 SCIE EI CSCD 2007年第3期461-469,共9页
A computable expression of the asymptotic expansion of the return map for a degenerate singular point of a class of planar differential system is given, and hence the stability and the type of the singular point can b... A computable expression of the asymptotic expansion of the return map for a degenerate singular point of a class of planar differential system is given, and hence the stability and the type of the singular point can be decided. These results generalize the corresponding results in [Nonlinearity, 13 (2000), p.709]. 展开更多
关键词 Isolated singular point monodromy singular point characteristic direction return map stability.
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Analysis on the Performance of the SLIP Runner with Nonlinear Spring Leg 被引量:7
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作者 YU Haitao LI Mantian CAI Hegao 《Chinese Journal of Mechanical Engineering》 SCIE EI CAS CSCD 2013年第5期892-899,共8页
The spring-loaded inverted pendulum(SLIP) has been widely studied in both animals and robots.Generally,the majority of the relevant theoretical studies deal with elastic leg,the linear leg length-force relationship of... The spring-loaded inverted pendulum(SLIP) has been widely studied in both animals and robots.Generally,the majority of the relevant theoretical studies deal with elastic leg,the linear leg length-force relationship of which is obviously conflict with the biological observations.A planar spring-mass model with a nonlinear spring leg is presented to explore the intrinsic mechanism of legged locomotion with elastic component.The leg model is formulated via decoupling the stiffness coefficient and exponent of the leg compression in order that the unified stiffness can be scaled as convex,concave as well as linear profile.The apex return map of the SLIP runner is established to investigate dynamical behavior of the fixed point.The basin of attraction and Floquet Multiplier are introduced to evaluate the self-stability and initial state sensitivity of the SLIP model with different stiffness profiles.The numerical results show that larger stiffness exponent can increase top speed of stable running and also can enlarge the size of attraction domain of the fixed point.In addition,the parameter variation is conducted to detect the effect of parameter dependency,and demonstrates that on the fixed energy level and stiffness profile,the faster running speed with larger convergence rate of the stable fixed point under small local perturbation can be achieved via decreasing the angle of attack and increasing the stiffness coefficient.The perturbation recovery test is implemented to judge the ability of the model resisting large external disturbance.The result shows that the convex stiffness performs best in enhancing the robustness of SLIP runner negotiating irregular terrain.This research sheds light on the running performance of the SLIP runner with nonlinear leg spring from a theoretical perspective,and also guides the design and control of the bio-inspired legged robot. 展开更多
关键词 spring-loaded inverted pendulum legged locomotion apex return map nonlinear spring
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基于改进粒子群算法的月地转移轨道优化 被引量:7
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作者 李远平 蔡远利 李济生 《工程力学》 EI CSCD 北大核心 2020年第3期238-244,共7页
月地转移轨道优化是月球返回任务的技术难题之一,其搜索空间大、约束条件多。该文通过罚函数法将多约束优化问题转化为无约束优化问题,提出了一种改进粒子群算法,利用适应度函数来更新惯性权重,对粒子的速度加以约束,还对粒子的位置参... 月地转移轨道优化是月球返回任务的技术难题之一,其搜索空间大、约束条件多。该文通过罚函数法将多约束优化问题转化为无约束优化问题,提出了一种改进粒子群算法,利用适应度函数来更新惯性权重,对粒子的速度加以约束,还对粒子的位置参数引入随机反馈控制,分析了算法的收敛性。在月地返回窗口内获得了逃逸速度增量最小的月地转移轨道优化结果,并利用目标函数的等高线图分析,对优化结果进行了验证。 展开更多
关键词 月球返回 月地转移轨道优化 改进粒子群算法 收敛性 等高线图分析
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