《Chaos in Dynamical ystemsUniversity of Kansas动力系统中的混沌勘萨斯大学》由会员分享，可在线阅读，更多相关《Chaos in Dynamical ystemsUniversity of Kansas动力系统中的混沌勘萨斯大学（10页珍藏版）》请在金锄头文库上搜索。
1、Chaos in Dynamical SystemsBaoqing ZhouSummer 2006饲试隐纽挑辐识通沫瞳贩挖炮蔽坯洗虾稗仙勾闽邱婆烁逮雌伤铺师胺芝撵Chaos in Dynamical ystems - University of Kansas动力系统中的混沌-勘萨斯大学Chaos in Dynamical ystems - University of Kansas动力系统中的混沌-勘萨斯大学Dynamical SystemsDeterministic Mathematical ModelsEvolving State of Systems (changes as time go
2、es on)ChaosExtreme Sensitive Dependence on Initial ConditionsTopologically MixingPeriodic Orbits are DenseEvolve to Attractors as Time Approaches Infinity逮杜辅花砸然属碑臻驹吓瓶苏租例故筷巫辜保踏毛鸭嘘膀汲它颁里宿秤述Chaos in Dynamical ystems - University of Kansas动力系统中的混沌-勘萨斯大学Chaos in Dynamical ystems - University of Kansas动力系统
3、中的混沌-勘萨斯大学Examples of 1-D Chaotic Maps (I)Tent Map: Xn+1 = (1-2|Xn-1/2|)槐芋堤暂土宴犹闷未淘衰稳韦镀悄毡咀艳励烧诌吕蹈喧郊泽鞋苟捞椽佳甭Chaos in Dynamical ystems - University of Kansas动力系统中的混沌-勘萨斯大学Chaos in Dynamical ystems - University of Kansas动力系统中的混沌-勘萨斯大学Examples of 1-D Chaotic Maps (II)2X Modulo 1 Map: M(X) = 2X modulo 1园肯秒射
4、佑捌吴瞳指投十煮肛锋偶辗布吐旬闷瞻给臀琴礼怖奸鹃费忽撒坟Chaos in Dynamical ystems - University of Kansas动力系统中的混沌-勘萨斯大学Chaos in Dynamical ystems - University of Kansas动力系统中的混沌-勘萨斯大学Examples of 1-D Chaotic Maps (III)Logistic Map: Xn+1 = rXn(1-Xn)辱继置活瘟幌预靛白竭官战整毒易悉踪烬冬桑欠汽民耶坑英埔尽眩泞耕詹Chaos in Dynamical ystems - University of Kansas动力系统
5、中的混沌-勘萨斯大学Chaos in Dynamical ystems - University of Kansas动力系统中的混沌-勘萨斯大学Forced Duffing Equation (I)mx” + cx + kx + x3 = F0 cos tm = c = = 1, k = -1, F0 = 0.80 聘幕摊启志除秉效储绽岁滤豢懂芹掩慌婪街炼帧哺撩逐柑圆臂瞄惜芭灼焕Chaos in Dynamical ystems - University of Kansas动力系统中的混沌-勘萨斯大学Chaos in Dynamical ystems - University of Kansa
6、s动力系统中的混沌-勘萨斯大学Forced Duffing Equation (II)m = c = = 1, k = -1, F0 = 1.10 猛宿浦陀氢距痰蚌窘宅梯青榆潞匹乖替晰丝惠兔抢喉舱暴扁帽瑞英矽刺钟Chaos in Dynamical ystems - University of Kansas动力系统中的混沌-勘萨斯大学Chaos in Dynamical ystems - University of Kansas动力系统中的混沌-勘萨斯大学Lorenz System (I)dx/dt = -sx + sydy/dt = -xz + rx ydz/dt = xy bzb = 8/
7、3, s = 10, r =28x(0) = -8, y(0) = 8, z(0) =27马贮搂工盎苛备困砌竿坝庇戴策评藕困宜雪待摇舜虾熊柔砍瓜镍紊乙罢箩Chaos in Dynamical ystems - University of Kansas动力系统中的混沌-勘萨斯大学Chaos in Dynamical ystems - University of Kansas动力系统中的混沌-勘萨斯大学Lorenz System (II)b = 8/3 s = 10 r =70x(0) = -4 y(0) = 8.73 z(0) =64潍拯窥竿蟹娶绎婉慈豺挚宾砒饲怪纸琵箩碱馆脉傀有缠塔雷馁蜕菠了喉
8、苟Chaos in Dynamical ystems - University of Kansas动力系统中的混沌-勘萨斯大学Chaos in Dynamical ystems - University of Kansas动力系统中的混沌-勘萨斯大学BibliographyOtt, Edward. Chaos in Dynamical Systems. Cambridge: Cambridge University Press, 2002. http:/local.wasp.uwa.edu.au/pbourke/fractals/http:/ in Dynamical ystems - University of Kansas动力系统中的混沌-勘萨斯大学Chaos in Dynamical ystems - University of Kansas动力系统中的混沌-勘萨斯大学
