Reviews of Nonlinear Dynamics and Complexity Volume 3 Annual Reviews of Nonlinear Dynamics and Complexity 1st Edition by Heinz Georg Schuster ISBN 3527409459 9783527409457

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ISBN 10: 3527409459 
ISBN 13: 9783527409457
Author: Heinz Georg Schuster

Written in a style that breaks the barriers between the disciplines, this monograph enables researchers from life science, physics, engineering, or chemistry to access the most recent results in a common language. The resulting review character of this project sets it apart from specialized journals, and allows each volume to respond quickly to new developments.
This third volume contains new topics ranging from chaotic computing, via random dice tossing and stochastic limit-cycle oscillators, to a number theoretic example of self-organized criticality, wave localization in complex networks and anomalous diffusion.
A first-class board of international scientists advises the editor, such that the carefully selected and invited contributions represent the latest and most relevant findings

Reviews of Nonlinear Dynamics and Complexity Volume 3 Annual Reviews of Nonlinear Dynamics and Complexity 1st Table of contents:

• The Chaos Computing Paradigm (by W.L. Ditto, A. Miliotis, K. Murali, and S. Sinha)
  • This chapter likely explores the concept and applications of using nonlinear dynamical systems for computation, potentially discussing the basics of chaotic computing, its advantages, and implementation examples.
• How Does God Play Dice? (by J. Nagler and P.H. Richter)
  • This article probably delves into the dynamics of random processes, perhaps focusing on the statistical properties and underlying mechanisms of seemingly random events like dice tossing, viewed through a nonlinear dynamics lens.
• Phase Reduction of Stochastic Limit-Cycle Oscillators (by K. Yoshimura)
  • This chapter likely discusses methods for simplifying the analysis of complex, nonlinear oscillators that exhibit periodic behavior (limit cycles) but are also subject to random fluctuations (stochasticity), focusing on the phase dynamics.
• Complex Systems, Numbers and Number Theory (by L. Lacasa, B. Luque, and O. Miramontes)
  • This article probably examines the connections between complex systems theory and number theory, potentially exploring statistical distributions in number sequences, self-organized criticality in number-theoretic contexts, and the properties of networks derived from number theory.
• Wave Localization Transitions in Complex Systems (by J.W. Kantelhardt, L. Jahnke, and R. Berkovits)
  • This chapter is expected to cover phenomena where waves (e.g., electronic, vibrational) become localized rather than propagating through disordered or complex media, particularly in the context of complex networks and the Anderson localization transition.
• From Deterministic Chaos to Anomalous Diffusion (by R. Klages)
  • This article likely provides a broad review connecting the concepts of deterministic chaos (where complex behavior arises from simple, non-random rules) to anomalous diffusion (where particle spread deviates from standard Brownian motion), possibly discussing models and mechanisms for such behavior.

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Tags: Heinz Georg Schuster, Reviews, Nonlinear