Order and chaos in coupled logistic maps 結合ロジスティック写像系のカオスと秩序

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Author

    • Willeboordse, Frederick H ウィレボールツ, フレデリック H

Bibliographic Information

Title

Order and chaos in coupled logistic maps

Other Title

結合ロジスティック写像系のカオスと秩序

Author

Willeboordse, Frederick H

Author(Another name)

ウィレボールツ, フレデリック H

University

筑波大学

Types of degree

博士 (理学)

Grant ID

甲第1089号

Degree year

1993-03-25

Note and Description

博士論文

1992

【要旨】

Table of Contents

  1. Contents / p13 (0008.jp2)
  2. Prolog / p4 (0004.jp2)
  3. Preface / p5 (0004.jp2)
  4. Acknowledgements / p9 (0006.jp2)
  5. List of Papers Submitted for the Requirement of the Degree / p11 (0007.jp2)
  6. 1 Introduction to the Standard Diffusively Coupled Map Lattice and its Local Element, the Logistic Map / p17 (0010.jp2)
  7. 1.1 The Logistic Map / p19 (0011.jp2)
  8. 1.2 Lyapunov Exponents / p24 (0014.jp2)
  9. 1.3 Universality Classes in the One-Dimensional Diffusively Coupled Logistic Lattice / p33 (0018.jp2)
  10. 1.4 Physical Systems / p50 (0027.jp2)
  11. 2 Windows,Attractors and Self-Similar Patterns in a Coupled Map Lattice / p53 (0028.jp2)
  12. 2.1 Introduction / p53 (0028.jp2)
  13. 2.2 Amplitude-Limited Random Initial Conditions(ALRIC) / p54 (0029.jp2)
  14. 2.3 Windows and the Bifurcation Sequence / p55 (0029.jp2)
  15. 2.4 Self-Similar Bands and Patterns / p65 (0034.jp2)
  16. 2.5 Location of Self-Similar Patterns / p69 (0036.jp2)
  17. 2.6 Discussion and Conclusions / p71 (0037.jp2)
  18. 2.A Phase Space / p73 (0038.jp2)
  19. 2.B Derivation of a Homogeneity Condition / p77 (0040.jp2)
  20. 3 Suppressed,Transient and Fully Developed Spatio-Temporal Chaos at High Nonlinearity / p81 (0042.jp2)
  21. 3.1 Introduction / p81 (0042.jp2)
  22. 3.2 Pattern Selection with the Suppression of Chaos at Medium Nonlinearity / p82 (0043.jp2)
  23. 3.3 Pattern Selection after Supextransient Chaos at High Nonlinearity / p86 (0045.jp2)
  24. 3.4 Fully Developed Spatio-Temporal Chaos / p91 (0047.jp2)
  25. 3.5 Phase Diagrams / p93 (0048.jp2)
  26. 3.6 Intermittency / p99 (0051.jp2)
  27. 3.7 Discussion and Conclusions / p105 (0054.jp2)
  28. 3.A Alternative Route to a Homogeneous Attractor / p107 (0055.jp2)
  29. 4 Traveling Waves / p109 (0056.jp2)
  30. 4.1 Introduction / p109 (0056.jp2)
  31. 4.2 Traveling Waves in the Pattern Selection Regime(Phenomenology) / p110 (0057.jp2)
  32. 4.3 Phase Locomotives(=Phase Slips) / p112 (0058.jp2)
  33. 4.4 Encoding of the Traveling Wave Attractor / p115 (0059.jp2)
  34. 4.5 Patterns with Regular Coherent Oscillations / p119 (0061.jp2)
  35. 4.6 Traveling Patterns in the Frozen Pattern Regime / p119 (0061.jp2)
  36. 4.7 Discussion and Conclusions / p129 (0066.jp2)
  37. 5 Modelling Higher Dimensional Chaos with a Time-Delayed Map / p131 (0067.jp2)
  38. 5.1 Introduction / p131 (0067.jp2)
  39. 5.2 The Basic Idea of the Time-Delayed Map / p132 (0068.jp2)
  40. 5.3 Application to the One-dimensional Diffusively Coupled Logistic Lattice / p133 (0068.jp2)
  41. 5.4 The Role of the Boundary / p135 (0069.jp2)
  42. 5.5 Application to an Open Flow Model / p139 (0071.jp2)
  43. 5.6 Application to a Two-dimensional Diffusively Coupled Logistic Lattice / p143 (0073.jp2)
  44. 5.7 Application to an Excitable Media Model / p144 (0074.jp2)
  45. 5.8 Correlation Function / p148 (0076.jp2)
  46. 5.9 Discussion and Conclusions / p150 (0077.jp2)
  47. 5.A Video Feedback / p150 (0077.jp2)
  48. 6 Summary and Concluding Remarks / p153 (0078.jp2)
  49. 6.1 Summary / p153 (0078.jp2)
  50. 6.2 Concluding Remarks / p155 (0079.jp2)
  51. Epilog / p157 (0080.jp2)
  52. Bibliography / p159 (0081.jp2)
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Codes

  • NII Article ID (NAID)
    500000102001
  • NII Author ID (NRID)
    • 8000000102236
  • DOI(NDL)
  • Text Lang
    • jpn
  • NDLBibID
    • 000000266315
  • Source
    • Institutional Repository
    • NDL ONLINE
    • NDL Digital Collections

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