Reviews of Nonlinear Dynamics and Complexity

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 Nonlinear Dynamics and Complexity where researchers or newcomers to the field can find the most important up to date results, described in a fashion which breaks the barriers between the disciplines. Volume I covers the following topics: Nonlinear Dynamics Nanomechanical and Micromechanical Resonators.Delay Stabilization of Rotating Waves Without Odd Number LimitationRandom Boolean NetworksReturn Intervals and Extreme Events in Persistent Time Series with Applications to Climate and Seismic RecordsFactorizable Language: From Dynamics to BiologyControlling Collective Synchrony by Feedback

Spis treści:
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.

Nota biograficzna:
Heinz Georg Schuster is Professor of Theoretical Physics at the University of Kiel in Germany. In 1971 he attained his doctorate and in 1976 he was appointed Professor at the University of Frankfurt am Main in Germany. He was a visiting professor at the Weizmann–Institute of Science in Israel and at the California Institute of Technology in Pasadena, USA. He is author and editor of research monographs and topical handbooks on chaos theory, nonlinear dynamics and neural networks, but also on popular science books.

Okładka tylna:
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 n ew series to provide reviews of Nonlinear Dynamics and Complexity where researchers or newcomers to the field can find the most important up to date results, described in a fashion which breaks the barriers between the disciplines. Volume I covers the following topics: Nonlinear Dynamics Nanomechanical and Micromechanical Resonators.Delay Stabilization of Rotating Waves Without Odd Number LimitationRandom Boolean NetworksReturn Intervals and Extreme Events in Persistent Time Series with Applications to Climate and Seismic RecordsFactorizable Language: From Dynamics to BiologyControlling Collective Synchrony by Feedback