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Reviews of Nonlinear Dynamics and Complexity: Volume 1 Book

Reviews of Nonlinear Dynamics and Complexity: Volume 1
Reviews of Nonlinear Dynamics and Complexity: Volume 1, Adopting a cross-disciplinary approach, the review character of this monograph sets it apart from specialized journals. The editor is advised by a first-class board of international scientists, such that the carefully selected and invited contributions re, Reviews of Nonlinear Dynamics and Complexity: Volume 1 has a rating of 3.5 stars
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Reviews of Nonlinear Dynamics and Complexity: Volume 1, Adopting a cross-disciplinary approach, the review character of this monograph sets it apart from specialized journals. The editor is advised by a first-class board of international scientists, such that the carefully selected and invited contributions re, Reviews of Nonlinear Dynamics and Complexity: Volume 1
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  • Reviews of Nonlinear Dynamics and Complexity: Volume 1
  • Written by author Heinz Georg Schuster
  • Published by Wiley, John & Sons, Incorporated, June 2008
  • Adopting a cross-disciplinary approach, the review character of this monograph sets it apart from specialized journals. The editor is advised by a first-class board of international scientists, such that the carefully selected and invited contributions re
  • Nonlinear behaviour is ubiquitous in nature and the interdisciplinary field of Nonlinear Dynamics and complexity consists of a large body of theoretical and experimental work wit many applications. It is the aim of these new series to provide reviews of N
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Authors

Preface.

List of Contributors.

1. Nonlinear Dynamics of Nanomechanical and Micromechanical Resonators (Ron Lifshitz and M.C. Cross).

1.1. Nonlinearities in NEMS and MEMS Resonators.

1.2. the Directly-driven Damped Duffing Resonator.

1.3. Parametric Excitation of a Damped Duffing Resonator.

1.4 Parametric Excitation of Arrays of Coupled Duffing Resonators.

1.5. Amplitude Equation Description for Large Arrays.

2. Delay Stabilization of Rotating Waves Without Odd Number Limitation (Bernold Fiedler, Valentin Flunkert, Marc Georgi, Philipp Hövel, and Eckehard Schöll).

2.1. Introduction.

2.2. Mechanism of Stabilization.

2.3. S1-Symmetry and Stability of Rotating Waves.

2.4. Conditions on the Feedback Gain.

2.5. Tori.

2.6. Conclusion.

3. Random Boolean Networks (Barbara Drossel).

3.1. Introduction.

3.2. Model.

3.3. Annealed Approximation and Phase Diagrams.

3.4 Networks with K=1.

3.5. Critical Networks with K=2.

3.6. Networks with Larger K.

3.7.Outlook.

4. Return Intervals and Extreme Events in Persistent Time Series with Applications to Climate and Seismic Records (Armin Bunde, Jan F. Eichner, Shlomo Havlin, Jan W. Kantelhardt, and Sabine Lennartz).

4.1. Introduction.

4.2. Statistics of Return Intervals.

4.3. Statistics of Maxima.

4.4. Long-Term Memory in Earthquakes.

4.5. Conclusions.

5. Factorizable Language: From Dynamics to Biology (Bailin Hao and Huimin Xie).

5.1. Coarse-Graining and Symbolic Description.

5.2. A Brief Introduction to Language Theory.

5.3. Symbolic Dynamics.

5.4. Sequences Generated from Cellular Automata.

5.5. Avoidance Signature of Bacterial Complete Genomes.

5.6. Decomposition and Reconstruction of Protein Sequences.

6. Controlling Collective Synchrony by Feedback (Michael Rosenblum and Arkady Pikovsky).

6.1. What is Collective Synchrony?

6.2. Why to Control?

6.3. Controlling Neural Synchrony.

6.4. Delayed Feedback Control.

6.5. Suppression with a Non-delayed Feedback Loop.

6.6. Determination of Stimulation Parameters by a Test Stimulation.

6.7. Discussion and Outlook.

Index.


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