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Nonlinear and Complex Dynamics

Applications in Physical, Biological, and Financial Systems

  • Book
  • © 2011

Overview

Authors:
  1. José António Tenreiro Machado

    1. Institute of Engineering, Department of Electrical Engineering, Polytechnic Institute of Porto, Porto, Portugal

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  2. Dumitru Baleanu

    1. Faculty of Art and Sciences, Mathematics and Computer Sciences, Cankaya University, Ankara, Turkey

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  3. Albert C. J. Luo

    1. Edwardsville, Department of Mechanical, Southern Illinois University, EDWARDSVILLE, USA

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  • Presents, for the first time in one volume, methods and applications that can be used to analyze celestial systems

  • Shows how nonlinear dynamics can be used to analyze complex biological systems and address problems such as waste disposal, the biological impact of transportation systems on oceans, and predicting climate zone fluctuations and potential impacts on farming and other agricultural activities

  • Discusses the role that dynamics and complex systems play in the economic and financial systems especially as related to inflation, international markets and uncertainty

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Table of contents (24 chapters)

  1. Front Matter

    Pages i-ix
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  2. Nonlinear and Complex Dynamics: Applications in Physical Systems

    1. Front Matter

      Pages 1-1
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    2. On the Mechanisms of Natural Transport in the Solar System

      • Yuan Ren, Josep J. Masdemont, Gerard Gómez, Elena Fantino
      Pages 3-14

    3. A Method to Design Efficient Low-Energy, Low-Thrust Transfers to the Moon

      • Giorgio Mingotti, Francesco Topputo, Franco Bernelli-Zazzera
      Pages 15-37

    4. Low-Energy Earth-to-Halo Transfers in the Earth–Moon Scenario with Sun-Perturbation

      • Anna Zanzottera, Giorgio Mingotti, Roberto Castelli, Michael Dellnitz
      Pages 39-51

    5. On the Relation Between the Bicircular Model and the Coupled Circular Restricted Three-Body Problem Approximation

      • Roberto Castelli
      Pages 53-68

    6. Adaptive Remeshing Applied to Reconfiguration of Spacecraft Formations

      • Laura Garcia-Taberner, Josep J. Masdemont
      Pages 69-81

    7. A Cartographic Study of the Phase Space of the Elliptic Restricted Three Body Problem: Application to the Sun–Jupiter–Asteroid System

      • Cătălin Galeş
      Pages 83-96

    8. Parameter Identification of the Langmuir Model for Adsorption and Desorption Kinetic Data

      • Dumitru Baleanu, Yeliz Yolcu Okur, Salih Okur, Kasim Ocakoglu
      Pages 97-106

    9. Effects of Suspended Sediment on the Structure of Turbulent Boundary Layer

      • H. P. Mazumdar, S. Bhattacharya, B. C. Mandal
      Pages 107-116

    10. A Renormalization-Group Study of the Potts Model with Competing Ternary and Binary Interactions

      • Nasir Ganikhodjaev, Seyit Temir, Selman Uğuz, Hasan Akin
      Pages 117-125

    11. The Mechanical Properties of CaX6 (X = B and C)

      • Sezgin Aydin, Mehmet Şimşek
      Pages 127-133

    12. The System Design of an Autonomous Mobile Waste Sorter Robot

      • Ahmet Mavus, Sinem Gozde Defterli, Erman Cagan Ozdemir
      Pages 135-146

    13. Evidence of the Wave Phase Coherence for Freak Wave Events

      • Alexey Slunyaev
      Pages 147-158

    14. Quantum Mechanical Treatment of the Lamb Shift Without Taken into Account the Electric Charge

      • Voicu Dolocan, Andrei Dolocan, Voicu Octavian Dolocan
      Pages 159-170

    15. Determining the Climate Zones of Turkey by Center-Based Clustering Methods

      • Fidan M. Fahmi, Elçin Kartal, Cem İyigün, Ceylan Yozgatligil, Vilda Purutcuoğlu, İnci Batmaz et al.
      Pages 171-177

    16. The Determination of Rainy Clouds Motion Using Optical Flow

      • O. Raaf, A. Adane
      Pages 179-191

    17. Hydrodynamic Modeling of Port Foster, Deception Island (Antarctica)

      • Juan Vidal, Manuel Berrocoso, Bismarck Jigena
      Pages 193-203

  3. Nonlinear and Complex Dynamics: Applications in Biological Systems

    1. Front Matter

      Pages 205-205
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    2. Localized Activity States for Neuronal Field Equations of Feature Selectivity in a Stimulus Space with Toroidal Topology

      • Evan C. Haskell, Vehbi E. Paksoy
      Pages 207-216
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Keywords

About this book

Nonlinear Dynamics of Complex Systems describes chaos, fractal and stochasticities within celestial mechanics, financial systems and biochemical systems. Part I discusses methods and applications in celestial systems and new results in such areas as low energy impact dynamics, low-thrust planar trajectories to the moon and earth-to-halo transfers in the sun, earth and moon. Part II presents the dynamics of complex systems including bio-systems, neural systems, chemical systems and hydro-dynamical systems. Finally, Part III covers economic and financial systems including market uncertainty, inflation, economic activity and foreign competition and the role of nonlinear dynamics in each.

Authors and Affiliations

  • Institute of Engineering, Department of Electrical Engineering, Polytechnic Institute of Porto, Porto, Portugal

    José António Tenreiro Machado

  • Faculty of Art and Sciences, Mathematics and Computer Sciences, Cankaya University, Ankara, Turkey

    Dumitru Baleanu

  • Edwardsville, Department of Mechanical, Southern Illinois University, EDWARDSVILLE, USA

    Albert C. J. Luo

Bibliographic Information

  • Book Title: Nonlinear and Complex Dynamics

  • Book Subtitle: Applications in Physical, Biological, and Financial Systems

  • Authors: José António Tenreiro Machado, Dumitru Baleanu, Albert C. J. Luo

  • DOI: https://doi.org/10.1007/978-1-4614-0231-2

  • Publisher: Springer New York, NY

  • eBook Packages: Engineering, Engineering (R0)

  • Copyright Information: Springer Science+Business Media, LLC 2011

  • Hardcover ISBN: 978-1-4614-0230-5Published: 30 August 2011

  • Softcover ISBN: 978-1-4899-9721-0Published: 01 October 2014

  • eBook ISBN: 978-1-4614-0231-2Published: 28 August 2011

  • Edition Number: 1

  • Number of Pages: IX, 332

  • Topics: Vibration, Dynamical Systems, Control, Classical Mechanics, Complexity, Computational Science and Engineering

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