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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著者
書誌事項
- タイトル
-
Order and chaos in coupled logistic maps
- タイトル別名
-
結合ロジスティック写像系のカオスと秩序
- 著者名
-
Willeboordse, Frederick H
- 著者別名
-
ウィレボールツ, フレデリック H
- 学位授与大学
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筑波大学
- 取得学位
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博士 (理学)
- 学位授与番号
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甲第1089号
- 学位授与年月日
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1993-03-25
注記・抄録
博士論文
1992
【要旨】
目次
- Contents / p13 (0008.jp2)
- Prolog / p4 (0004.jp2)
- Preface / p5 (0004.jp2)
- Acknowledgements / p9 (0006.jp2)
- List of Papers Submitted for the Requirement of the Degree / p11 (0007.jp2)
- 1 Introduction to the Standard Diffusively Coupled Map Lattice and its Local Element, the Logistic Map / p17 (0010.jp2)
- 1.1 The Logistic Map / p19 (0011.jp2)
- 1.2 Lyapunov Exponents / p24 (0014.jp2)
- 1.3 Universality Classes in the One-Dimensional Diffusively Coupled Logistic Lattice / p33 (0018.jp2)
- 1.4 Physical Systems / p50 (0027.jp2)
- 2 Windows,Attractors and Self-Similar Patterns in a Coupled Map Lattice / p53 (0028.jp2)
- 2.1 Introduction / p53 (0028.jp2)
- 2.2 Amplitude-Limited Random Initial Conditions(ALRIC) / p54 (0029.jp2)
- 2.3 Windows and the Bifurcation Sequence / p55 (0029.jp2)
- 2.4 Self-Similar Bands and Patterns / p65 (0034.jp2)
- 2.5 Location of Self-Similar Patterns / p69 (0036.jp2)
- 2.6 Discussion and Conclusions / p71 (0037.jp2)
- 2.A Phase Space / p73 (0038.jp2)
- 2.B Derivation of a Homogeneity Condition / p77 (0040.jp2)
- 3 Suppressed,Transient and Fully Developed Spatio-Temporal Chaos at High Nonlinearity / p81 (0042.jp2)
- 3.1 Introduction / p81 (0042.jp2)
- 3.2 Pattern Selection with the Suppression of Chaos at Medium Nonlinearity / p82 (0043.jp2)
- 3.3 Pattern Selection after Supextransient Chaos at High Nonlinearity / p86 (0045.jp2)
- 3.4 Fully Developed Spatio-Temporal Chaos / p91 (0047.jp2)
- 3.5 Phase Diagrams / p93 (0048.jp2)
- 3.6 Intermittency / p99 (0051.jp2)
- 3.7 Discussion and Conclusions / p105 (0054.jp2)
- 3.A Alternative Route to a Homogeneous Attractor / p107 (0055.jp2)
- 4 Traveling Waves / p109 (0056.jp2)
- 4.1 Introduction / p109 (0056.jp2)
- 4.2 Traveling Waves in the Pattern Selection Regime(Phenomenology) / p110 (0057.jp2)
- 4.3 Phase Locomotives(=Phase Slips) / p112 (0058.jp2)
- 4.4 Encoding of the Traveling Wave Attractor / p115 (0059.jp2)
- 4.5 Patterns with Regular Coherent Oscillations / p119 (0061.jp2)
- 4.6 Traveling Patterns in the Frozen Pattern Regime / p119 (0061.jp2)
- 4.7 Discussion and Conclusions / p129 (0066.jp2)
- 5 Modelling Higher Dimensional Chaos with a Time-Delayed Map / p131 (0067.jp2)
- 5.1 Introduction / p131 (0067.jp2)
- 5.2 The Basic Idea of the Time-Delayed Map / p132 (0068.jp2)
- 5.3 Application to the One-dimensional Diffusively Coupled Logistic Lattice / p133 (0068.jp2)
- 5.4 The Role of the Boundary / p135 (0069.jp2)
- 5.5 Application to an Open Flow Model / p139 (0071.jp2)
- 5.6 Application to a Two-dimensional Diffusively Coupled Logistic Lattice / p143 (0073.jp2)
- 5.7 Application to an Excitable Media Model / p144 (0074.jp2)
- 5.8 Correlation Function / p148 (0076.jp2)
- 5.9 Discussion and Conclusions / p150 (0077.jp2)
- 5.A Video Feedback / p150 (0077.jp2)
- 6 Summary and Concluding Remarks / p153 (0078.jp2)
- 6.1 Summary / p153 (0078.jp2)
- 6.2 Concluding Remarks / p155 (0079.jp2)
- Epilog / p157 (0080.jp2)
- Bibliography / p159 (0081.jp2)