1.

Record Nr.

UNINA9910458617503321

Titolo

Complexus mundi [[electronic resource] ] : emergent patterns in nature / / editor, Miroslav M. Novak

Pubbl/distr/stampa

Singapore ; ; Hackensack, N.J., : World Scientific, c2006

ISBN

1-281-91935-7

9786611919351

981-277-421-1

Descrizione fisica

1 online resource (359 p.)

Altri autori (Persone)

NovakM. M <1949-> (Miroslav Michal)

Disciplina

003.75

Soggetti

Fractals

Multifractals

Electronic books.

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Description based upon print version of record.

Nota di bibliografia

Includes bibliographical references and index.

Nota di contenuto

Contents               ; Preface              ; Structure of Genetic Regulatory Networks: Evidence for Scale Free Networks                                                                                 ; 1. Introduction                      ; 2. Models of Genetic Regulatory Networks                                               ; 3. Statistics of the mRNA from the Different Models                                                          ; 4. Experimental Data                           ; 5. Conclusions                     ; 6. Acknowledgments

References                 Modelling Fractal Dynamics                                 ; 1. Introduction                      ; 2. Fractional calculus                             ; 3. Fractional Langevin equations                                       ; 4. Summary conclusions and speculations                                              ; References                 ; Fractional Relaxation of Distributed Order                                                 ; 1. Introduction: statement of the problem and notations

2. Complete monotonicity of the basic solutions                                                      3. Examples                  ; 4. Conclusions                     ; References                 ; Fractional Time: Dishomogenous Poisson Processes vs. Homogeneous Non-Poisson Processes                                                                                             ; 1. Time series with inverse-power-law waiting times                                                          ; 2. Modulation vs. renewal


3. Continuous-Time-Random-Walk approach to diffusion                                                           4. Aging effects in renewal and modulation theories                                                          ; 5. Concluding remarks                            ; References                 ; Markov Memory in Multifractal Natural Processes                                                      ; 1. Introduction                      ; 2. Review of multifractal cascades

3. The first-order two-state Markov chain                                                4. Introducing memory in the evolution of the multiplicativev cascade                                                                            ; 5. Discussion                    ; Acknowledgments                      ; References                 ; Description of Complex Systems in Terms of Self-Organization Processes of Prime Integer Relations                                                                                                        ; 1. Introduction

2. Invariant Quantities of a Complex System and Correlations

Sommario/riassunto

The dynamics of complex systems can clarify the creation of structures in Nature. This creation is driven by the collective interaction of constitutive elements of the system. Such interactions are frequently nonlinear and are directly responsible for the lack of prediction in the evolution process. The self-organization accompanying these processes occurs all around us and is constantly being rediscovered, under the guise of a new jargon, in apparently unrelated disciplines.  This volume offers unique perspectives on aspects of fractals and complexity and, through the examination of compleme