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Nonlinear Science and Complexity

  • Book
  • © 2011

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Editors:
  1. J.A. Tenreiro Machado

    1. Institute of Engineering, Dept. Electrotechnical Engineering, Polytechnic Institute of Porto, Porto, Portugal

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  2. Albert C.J. Luo

    1. Dept. of Mech. & Industr. Engineering, Southern Illinois Univ. Edwardsville, Edwardsville, USA

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  3. Ramiro S. Barbosa

    1. Institute of Engineering, Dept. Electrotechnical Engineering, Polytechnic Institute of Porto, Porto, Portugal

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  4. Manuel F. Silva

    1. Institute of Engineering, Dept. Electrotechnical Engineering, Polytechnic Institute of Porto, Porto, Portugal

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  5. Lino B. Figueiredo

    1. Institute of Engineering, Dept. Electrotechnical Engineering, Polytechnic Institute of Porto, Porto, Portugal

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  • Nonlinear Science and Complexity is a major area of research and development and novel results are presently emerging and documented in this work
  • Includes supplementary material: sn.pub/extras

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Table of contents (49 chapters)

  1. Front Matter

    Pages I-XI
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  2. Nonlinear Dynamics of Continuous and Discontinuous Dynamical Systems

    1. Front Matter

      Pages 1-1
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    2. On Synchronization and Its Complexity of Multiple Dynamical Systems

      • Albert C. J. Luo
      Pages 3-12

    3. Periodic and Chaotic Motions in a Gear-pair Transmission System with Impacts

      • Albert C. J. Luo, Dennis O’Connor
      Pages 13-24

    4. Analytical Prediction of Interrupted Cutting Periodic Motions in a Machine Tool

      • Brandon C. Gegg, Steve C. S. Suh, Albert C. J. Luo
      Pages 25-36

    5. Control of Hopf Bifurcation and Chaos as Applied to Multimachine System

      • Majdi M. Alomari, Benedykt S. Rodanski
      Pages 37-48

  3. Lie Group Analysis and Applications in Nonlinear Sciences

    1. Front Matter

      Pages 49-49
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    2. Group-Invariant Solutions of Fractional Differential Equations

      • R. K. Gazizov, A. A. Kasatkin, S. Y. Lukashchuk
      Pages 51-59

    3. Type-II Hidden Symmetries for Some Nonlinear Partial Differential Equations

      • Maria Luz Gandarias
      Pages 61-66

    4. Nonclassical and Potential Symmetries for a Boussinesq Equation with Nonlinear Dispersion

      • M. S. Bruzón, M. L. Gandarias
      Pages 67-72

    5. Application of the Composite Variational Principle to Shallow Water Equations

      • Emrullah Yasar, Teoman Ozer
      Pages 73-78

    6. Conserved Forms of Second Order-Ordinary Differential Equations

      • C. Muriel, J. L. Romero
      Pages 79-84

    7. Analytical Investigation of a Two-Phase Model Describing a Three-Way-Catalytic Converter

      • J. Volkmann, N. Migranov
      Pages 85-92

  4. Celestial Mechanics and Dynamical Astronomy: Methods and Applications

    1. Front Matter

      Pages 93-93
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    2. The Role of Invariant Manifolds in the Formation of Spiral Arms and Rings in Barred Galaxies

      • M. Romero-Gómez, E. Athanassoula, J. J. Masdemont, C. García-Gómez
      Pages 95-98

    3. Continuous and Discrete Concepts for Detecting Transport Barriers in the Planar Circular Restricted Three Body Problem

      • Michael Dellnitz, Kathrin Padberg, Robert Preis, Bianca Thiere
      Pages 99-105

    4. Low-Energy Transfers in the Earth–Moon System

      • Elisa Maria Alessi, Gerard Gómez, Josep J. Masdemont
      Pages 107-114

    5. Gravitational Potential of a Massive Disk. Dynamics Around an Annular Disk

      • E. Tresaco, A. Elipe, A. Riaguas
      Pages 115-121

    6. An Accounting Device for Biasymptotic Solutions: The Scattering Map in the Restricted Three Body Problem

      • Amadeu Delshams, Josep J. Masdemont, Pablo Roldán
      Pages 123-124

    7. Optimal Capture Trajectories Using Multiple Gravity Assists

      • Stefan Jerg, Oliver Junge, Shane D. Ross
      Pages 125-130
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Keywords

About this book

This book contains selected papers of NSC08, the 2nd Conference on Nonlinear Science and Complexity, held 28-31 July, 2008, Porto, Portugal. It focuses on fundamental theories and principles, analytical and symbolic approaches, computational techniques in nonlinear physics and mathematics. Topics treated include • Chaotic Dynamics and Transport in Classic and Quantum Systems • Complexity and Nonlinearity in Molecular Dynamics and Nano-Science • Complexity and Fractals in Nonlinear Biological Physics and Social Systems • Lie Group Analysis and Applications in Nonlinear Science • Nonlinear Hydrodynamics and Turbulence • Bifurcation and Stability in Nonlinear Dynamic Systems • Nonlinear Oscillations and Control with Applications • Celestial Physics and Deep Space Exploration • Nonlinear Mechanics and Nonlinear Structural Dynamics • Non-smooth Systems and Hybrid Systems • Fractional dynamical systems

Editors and Affiliations

  • Institute of Engineering, Dept. Electrotechnical Engineering, Polytechnic Institute of Porto, Porto, Portugal

    J.A. Tenreiro Machado, Ramiro S. Barbosa, Manuel F. Silva, Lino B. Figueiredo

  • Dept. of Mech. & Industr. Engineering, Southern Illinois Univ. Edwardsville, Edwardsville, USA

    Albert C.J. Luo

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