Nonlinear and Complex Dynamics

Applications in Physical, Biological, and Financial Systems

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

Table of contents

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

    1. Front Matter
      Pages 1-1
    2. Yuan Ren, Josep J. Masdemont, Gerard Gómez, Elena Fantino
      Pages 3-14
    3. Giorgio Mingotti, Francesco Topputo, Franco Bernelli-Zazzera
      Pages 15-37
    4. Anna Zanzottera, Giorgio Mingotti, Roberto Castelli, Michael Dellnitz
      Pages 39-51
    5. Laura Garcia-Taberner, Josep J. Masdemont
      Pages 69-81
    6. Dumitru Baleanu, Yeliz Yolcu Okur, Salih Okur, Kasim Ocakoglu
      Pages 97-106
    7. H. P. Mazumdar, S. Bhattacharya, B. C. Mandal
      Pages 107-116
    8. Nasir Ganikhodjaev, Seyit Temir, Selman Uğuz, Hasan Akin
      Pages 117-125
    9. Sezgin Aydin, Mehmet Şimşek
      Pages 127-133
    10. Ahmet Mavus, Sinem Gozde Defterli, Erman Cagan Ozdemir
      Pages 135-146
    11. Voicu Dolocan, Andrei Dolocan, Voicu Octavian Dolocan
      Pages 159-170
    12. Fidan M. Fahmi, Elçin Kartal, Cem İyigün, Ceylan Yozgatligil, Vilda Purutcuoğlu, İnci Batmaz et al.
      Pages 171-177
    13. Juan Vidal, Manuel Berrocoso, Bismarck Jigena
      Pages 193-203
  3. Nonlinear and Complex Dynamics: Applications in Biological Systems

  4. Nonlinear and Complex Dynamics: Applications in Financial Systems

    1. Front Matter
      Pages 229-229
    2. M. Bouabaz, M. Belachia, M. Mordjaoui, B. Boudjema
      Pages 231-240
    3. Fernanda A. Ferreira, Flávio Ferreira
      Pages 257-268
    4. Gonçalo M. Duarte, J. Tenreiro Machado, Fernando B. Duarte
      Pages 307-321
  5. Back Matter
    Pages 323-332

About this book


Nonlinear Dynamics and 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. The book also:

  • 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

Nonlinear Dynamics and Complex Systems is an ideal book for scholars, researchers, and advanced technical members of industrial laboratory facilities interested in using nonlinear physics and mathematics to develop new tools and products.


Adaptive Remeshing Celestial Mechanics Center-Based Clustering Methods Dynamical Astronomy Dynamics of Complex Systems Finite Element Methodology Low-Energy Impact Dynamics Nature-Inspired Optimization Methods Turbulent Boundary Layer

Authors and affiliations

  • José António Tenreiro Machado
    • 1
  • Dumitru Baleanu
    • 2
  • Albert C. J. Luo
    • 3
  1. 1.Institute of Engineering, Department of Electrical EngineeringPolytechnic Institute of PortoPortoPortugal
  2. 2.Faculty of Art and Sciences, Mathematics and Computer SciencesCankaya UniversityAnkaraTurkey
  3. 3.Edwardsville, Department of MechanicalSouthern Illinois UniversityEDWARDSVILLEUSA

Bibliographic information

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