A Mathematical Modeling Approach from Nonlinear Dynamics to Complex Systems

1. Auflage 2019
ISBN: 978-3-319-78511-0
Verlag: Springer Nature Switzerland

Buch, Englisch, Band 22, 228 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 567 g

Reihe: Nonlinear Systems and Complexity

This book collects recent developments in nonlinear and complex systems. It provides up-to-date theoretic developments and new techniques based on a nonlinear dynamical systems approach that can be used to model and understand complex behavior in nonlinear dynamical systems. It covers symmetry groups, conservation laws, risk reduction management, barriers in Hamiltonian systems, and synchronization and chaotic transient. Illustrating mathematical modeling applications to nonlinear physics and nonlinear engineering, the book is ideal for academic and industrial researchers concerned with machinery and controls, manufacturing, and controls.

·         Introduces new concepts for understanding and modeling complex systems;

·         Explains risk reduction management in complex systems;

·         Examines the symmetry group approach tounderstanding complex systems;

·         Illustrates the relation between transient chaos and crises.

Zielgruppe

Research

Autoren/Hrsg.

Macau, Elbert E. N.

Fachgebiete

• Mathematik | Informatik EDV | Informatik Informatik Berechenbarkeitstheorie, Komplexitätstheorie
• Technische Wissenschaften Maschinenbau | Werkstoffkunde Technische Mechanik | Werkstoffkunde Statik, Dynamik, Kinetik, Kinematik
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Nichtlineare Wissenschaft
• Interdisziplinäres Wissenschaften Wissenschaften: Forschung und Information Kybernetik, Systemtheorie, Komplexe Systeme
• Naturwissenschaften Physik Angewandte Physik Statistische Physik, Dynamische Systeme
• Mathematik | Informatik Mathematik Mathematik Interdisziplinär Systemtheorie

Inhaltsverzeichnis

Preface.- An overview of the generalized Gardner equation: symmetry groups and conservation laws; Maria S. Bruzon.- On symmetries and conservation laws for a generalized Fisher equation; Maria Luz Gandarias, Maria Rosa.- From Complex Systems theory to Disasters Risk Reduction Management; Leonardo B. L. Santos, Luciana R. Londe, Tiago Carvalho, Daniel S. Menasche.- Fireflies: a paradigm in synchronization; G. M. Ramírez-Ávila, Juergen Kurths, Jean-Louis Deneubourg.- An investigation of the chaotic transient for a boundary crisis in the Fermi-Ulam model; Edson D. Leonel, Murilo Ferrioli Marques.- Tunable orbits influence in a driven stadium-like billiard; Andre Livorati.- Transport barriers in nonintegrable dynamical systems; Marisa Roberto.- Barriers in Two-dimensional and Multidimensional Systems; Erico Rempel, Abraham C. –L Chian.- New Trends in Chaos-based Communications and Signal Processing; Marcio Eisencraft.- Complex Networks and Centrality; Francisco Rodrigues.- Characterizing flows by complex network methods; Reik Donner.

Über Autor(innen)

Dr. Elbert E. N. Macau is a Professor within the Laboratory for Applied Mathematics and Computing (LAC), National Institute for Space Research, Sao Jose dos Campos, Brazil. He is an internationally recognized researcher with expertise in Nonlinear Dynamics, Dynamics, Nonlinear Systems, Mathematical Modelling, Chaos Theory, and Applied Mathematics.