カオス的アトラクターの理論<br>The Theory of Chaotic Attractors （2003. 500 p.）

個数：

カオス的アトラクターの理論
The Theory of Chaotic Attractors （2003. 500 p.）

  • 提携先の海外書籍取次会社に在庫がございます。通常3週間で発送いたします。
    【重要ご説明事項】
    1. 納期遅延や、ご入手不能となる場合が若干ございます。
    2. 複数冊ご注文の場合、分割発送となる場合がございます。
    3. 美品のご指定は承りかねます。
  • 【入荷遅延について】
    世界情勢の影響により、海外からお取り寄せとなる洋書・洋古書の入荷が、表示している標準的な納期よりも遅延する場合がございます。
    おそれいりますが、あらかじめご了承くださいますようお願い申し上げます。
  • ◆画像の表紙や帯等は実物とは異なる場合があります。
  • ◆ウェブストアでの洋書販売価格は、弊社店舗等での販売価格とは異なります。
    また、洋書販売価格は、ご注文確定時点での日本円価格となります。
    ご注文確定後に、同じ洋書の販売価格が変動しても、それは反映されません。
  • 製本 Hardcover:ハードカバー版／ページ数 500 p.
  • 商品コード 9780387403496

基本説明

Dedicated to James Yorke - a pioneer in the field and a recipient of the 2003 Japan prize - on the occasion of his 60th birthday.

Full Description

The editors felt that the time was right for a book on an important topic, the history and development of the notions of chaotic attractors and their "natu­ ral" invariant measures. We wanted to bring together a coherent collection of readable, interesting, outstanding papers for detailed study and comparison. We hope that this book will allow serious graduate students to hold seminars to study how the research in this field developed. Limitation of space forced us painfully to exclude many excellent, relevant papers, and the resulting choice reflects the interests of the editors. Since James Alan Yorke was born August 3, 1941, we chose to have this book commemorate his sixtieth birthday, honoring his research in this field. The editors are four of his collaborators. We would particularly like to thank Achi Dosanjh (senior editor math­ ematics), Elizabeth Young (assistant editor mathematics), Joel Ariaratnam (mathematics editorial), and Yong-Soon Hwang (book production editor) from Springer Verlag in New York for their efforts in publishing this book.

Contents

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