The theory of chaotic attractors
The theory of chaotic attractors
复制标题
混沌吸引子理论
DOI：
--
复制
发表时间：
2004
期刊：
影响因子：
--
通讯作者：
H. E. Nusse
中科院分区：
文献类型：
--
作者：
B. Hunt;J. Kennedy;Tien;H. E. Nusse
目录：前言。介绍。E.N. Lorenz，Deterministic nonperiodic flow。K. Krzyzewski和W. Szlenk，关于扩展可微映射的不变测度。- a.拉索塔和J.A. Yorke，关于分段单调变换的不变测度的存在性。R. Bowen和D. Ruelle，公理A流的遍历理论。T. - y. Li和J.A.约克，第三阶段意味着混乱。R.M.梅，简单的数学模型，非常复杂的动力学。M. Henon，一个带有奇异吸引子的二维映射. e.奥特，动力系统的奇怪吸引子和混沌运动。- F. Hofbauer和G. Keller，Ergodic properties of invariant measures for piecewise monotonic transformations。D. J. Farmer，E. Ott和J.A. Yorke，混沌吸引子的维数。P. Grassberger和I. Procaccia，测量奇异吸引子的奇异性。M. Rychlik，Lozi应用的不变测度和变分原理。P. Collet和Y. Levy，Lozi映射的遍历性质J. Milnor，关于吸引子的概念。L- S.一类Piewise双曲映射的Young，Bowen-Ruelle测度J. - Eckmann和D. Ruelle，遍历理论的混沌和奇怪的吸引子。M.R. Rychlik，Jakobson定理的另一个证明及相关结果。C. Grebogi，E. Ott和J.A. Yorke，不稳定周期轨道和多重分形混沌吸引子的维数。P.戈拉和A. Boyarsky，R. -中分段扩展C变换的绝对连续不变测度M.贝内迪克和L. - S.某些Henon映射的Young，Sinai-Bowen-Ruelle测度M. Dellnitz和O.荣格，关于复杂动力学行为的近似。M. Tsujii，平面上分段实解析扩张映射的绝对连续不变测度。J.F. Alves，C. Bonatti，and M.维亚纳，SRB措施的部分双曲型系统的中心方向主要是扩大。B.R.亨特，J.A.肯尼迪，T. y. Li及H.E. Nusse，SLYRB措施：混沌系统的自然不变措施。学分
Contents: Preface.-Introduction.- E.N. Lorenz, Deterministic nonperiodic flow.- K. Krzyzewski and W. Szlenk, On invariant measures for expanding differentiable mappings.- A. Lasota and J.A. Yorke, On the existence of invariant measures for piecewise monotonic transformations.- R. Bowen and D. Ruelle, The ergodic theory of Axiom A flows.- T.-Y. Li and J.A. Yorke, Period three implies chaos.- R.M. May, Simple mathematical models with very complicated dynamics.- M. Henon, A two- dimensional mapping with a strange attractor.- E. Ott, Strange attractors and chaotic motions of dynamical systems.- F. Hofbauer and G. Keller, Ergodic properties of invariant measures for piecewise monotonic transformations.- D. J. Farmer, E. Ott and J.A. Yorke, The dimension of chaotic attractors .- P. Grassberger and I. Procaccia, Measuring the strangeness of strange attractors.- M. Rychlik, Invariant measures and variational principle for Lozi applications.- P. Collet and Y. Levy, Ergodic properties of the Lozi mappings .- J. Milnor, On the Concept of Attractor.-L.-S. Young, Bowen-Ruelle Measures for certain Piewise Hyperbolic Maps.-J.-P. Eckmann and D. Ruelle, Ergodic Theory of Chaos and Strange Attractors.-M.R. Rychlik, Another Proof of Jakobson Theorem and Related Results.- C. Grebogi, E. Ott, and J.A. Yorke, Unstable periodic Orbits and the Dimensions of Multifractal Chaotic Attractors.-P. Gora and A. Boyarsky, Absolutely Continuous Invariant Measures for Piecewise Expanding C Transformation in R.-M. Benedicks and L.-S. Young, Sinai-Bowen-Ruelle Measures for Certain Henon Maps.-M. Dellnitz and O. Junge, On the Approximation of Complicated Dynamical Behavior.-M. Tsujii, Absolutely Continuous Invariant Measures for Piecewise Real-Analytic Expanding Maps on the Plane.-J.F. Alves, C.Bonatti, and M. Viana, SRB Measures for Partially Hyperbolic Systems Whose Central Direction is Mostly Expanding.- B.R. Hunt, J.A. Kennedy, T.-Y. Li, and H.E. Nusse, SLYRB Measures: Natural Invariant Measures for Chaotic Systems.- Credits