Nonlinear Science and Complexity

Part I Nonlinear Dynamics of Continuous and Discontinuous Dynamical Systems On Synchronization and its Complexity of Multiple Dynamical Systems, by Albert C.J. Luo Periodic and Chaotic Motions in a Gear-pair Transmission System With Impacts, by Albert C.J. Luo and Dennis O'Connor Analytical Prediction of Interrupted Cutting Periodic Motions in a Machine Tool , by Brandon C. Gegg, Steve C. S. Suh, and Albert C. J. Luo Control of Hopf Bifurcation and Chaos as Applied to Multimachine System, by Majdi M. Alomari and Benedykt S. Rodanski Part II Lie Group Analysis and Applications in Nonlinear Sciences Group-Invariant Solutions of Fractional Differential Equations, by R. K. Gazizov, A. A. Kasatkin, and S. Yu. Lukashchuk Type-II Hidden Symmetries for Some Nonlinear Partial Differential Equations, by Maria Luz Gandarias Nonclassical and Potential Symmetries for a Boussinesq Equation With Nonlinear Dispersion , by M. S. Bruzon and M.L. Gandarias Application of the Composite Variational Principle to Shallow Water Equations, by Emrullah Yasar and Teoman Ozer Conserved Forms of Second Order-ordinary Differential Equations, by C. Muriel and J. L. Romero Analytical Investigation of a Two.Phase Model Describing a Three.Way.Catalytic Converter , by J. Volkmann and N. Migranov Part III Celestial Mechanics and Dynamical Astronomy: Methods and Applications The Role of Invariant Manifolds in the Formation of Spiral Arms and Rings in Barred Galaxies, by M. Romero-Gomez, E. Athanassoula, J.J. Masdemont, and C. Garcia-Gomez Continuous and Discrete Concepts for Detecting Transport Barriers in the Planar Circular Restricted Three Body Problem, by Michael Dellnitz, Kathrin Padberg, Robert Preis, and Bianca Thiere Low-Energy Transfers in the Earth.Moon System, by Elisa Maria Alessi, Gerard Gomez, and Josep J. Masdemont Gravitational Potential of a Massive Disk. Dynamics Around an Annular Disk, by E. Tresaco, A. Elipe, and A. Riaguas An Accounting Device for Biasymptotic Solutions: the Scattering Map in the Restricted Three Body Problem , by Amadeu Delshams, Josep J. Masdemont, and Pablo Roldan References Optimal Capture Trajectories Using Multiple Gravity Assists, by Stefan Jerg, Oliver Junge, and Shane D. Ross New Periodic Orbits in the Solar Sail Three-Body Problem, by J. D. Biggs, T. Waters, and C. McInnes A Review of Invariant Manifold Dynamics of the CRTBP and Some Applications, by Josep J. Masdemont Solar Sail Orbits at the Earth-Moon Libration Points, by Jules Simo and Colin R. McInnes Part IV Mathematical Modeling of Nonlinear Structures in Bose-Einstein Condensates Collisions of Discrete Breathers in Nonlinear Schrodinger and Klein.Gordon Lattices, by J Cuevas, A Alvarez, FR Romero, and JFR Archilla Stability of BEC Systems in Nonlinear Optical Lattices, by Lauro Tomio, F.Kh. Abdullaev, H.L.F. da Luz, and A. Gammal Nonlinear Schrodinger Equations With a Four-Well Potential in Two Dimensions: Bifurcations and Stability Analysis, by C. Wang, G. Theocharis, P.G. Kevrekidis, N. Whitaker, D.J. Frantzeskakis, and B.A. Malomed Bose-Einstein Condensates and Multi-Component NLS Models on Symmetric Spaces of BD.I-Type. Expansions Over Squared Solutions, by V. S. Gerdjikov, D. J. Kaup, N. A. Kostov, and T. I. Valchev Part V Mathematical Models in Engineering Impulsive Boundary Layer Flow Past a Permeable Quadratically Stretching Sheet , by V. Kumaran, A. Vanav Kumar, and J. Sarat Chandra Babu Complete Dynamic Modeling of a Stewart Platform Using the Generalized Momentum Approach, by Antonio Mendes Lopes and E. J. Solteiro Pires Spectral Solution for the Air Stripping Pollutants Removal Dynamic Model With Non Linear Steady State Conditions , by A. C. M. Castro, J. Matos, and A. Gavina Three Behavioural Scenarios for Contingent Claims Valuation in Incomplete Markets by L. Boukas, D. Pinheiro, A. A. Pinto, S. Z. Xanthopoulos, and A. N.Yannacopoulos Undesired Oscillations in Pneumatic Systems, by Joao Falcao Carneiro and Fernando Gomes de Almeida A Study of Correlation and Entropy for Multiple Time Series, by Jose A.O. Matos, Sin and M.L. Gandarias Application of the Composite Variational Principle to Shallow Water Equations, by Emrullah Yasar and Teoman Ozer Conserved Forms of Second Order-ordinary Differential Equations, by C. Muriel and J. L. Romero Analytical Investigation of a Two.Phase Model Describing a Three.Way.Catalytic Converter , by J. Volkmann and N. Migranov Part III Celestial Mechanics and Dynamical Astronomy: Methods and Applications The Role of Invariant Manifolds in the Formation of Spiral Arms and Rings in Barred Galaxies, by M. Romero-Gomez, E. Athanassoula, J.J. Masdemont, and C. Garcia-Gomez Continuous and Discrete Concepts for Detecting Transport Barriers in the Planar Circular Restricted Three Body Problem, by Michael Dellnitz, Kathrin Padberg, Robert Preis, and Bianca Thiere Low-Energy Transfers in the Earth.Moon System, by Elisa Maria Alessi, Gerard Gomez, and Josep J. Masdemont Gravitational Potential of a Massive Disk. Dynamics Around an Annular Disk, by E. Tresaco, A. Elipe, and A. Riaguas An Accounting Device for Biasymptotic Solutions: the Scattering Map in the Restricted Three Body Problem , by Amadeu Delshams, Josep J. Masdemont, and Pablo Roldan References Optimal Capture Trajectories Using Multiple Gravity Assists, by Stefan Jerg, Oliver Junge, and Shane D. Ross New Periodic Orbits in the Solar Sail Three-Body Problem, by J. D. Biggs, T. Waters, and C. McInnes A Review of Invariant Manifold Dynamics of the CRTBP and Some Applications, by Josep J. Masdemont Solar Sail Orbits at the Earth-Moon Libration Points, by Jules Simo and Colin R. McInnes Part IV Mathematical Modeling of Nonlinear Structures in Bose-Einstein Condensates Collisions of Discrete Breathers in Nonlinear Schrodinger and Klein.Gordon Lattices, by J Cuevas, A Alvarez, FR Romero, and JFR Archilla Stability of BEC Systems in Nonlinear Optical Lattices, by Lauro Tomio, F.Kh. Abdullaev, H.L.F. da Luz, and A. Gammal Nonlinear Schrodinger Equations With a Four-Well Potential in Two Dimensions: Bifurcations and Stability Analysis, by C. Wang, G. Theocharis, P.G. Kevrekidis, N. Whitaker, D.J. Frantzeskakis, and B.A. Malomed Bose-Einstein Condensates and Multi-Component NLS Models on Symmetric Spaces of BD.I-Type. Expansions Over Squared Solutions, by V. S. Gerdjikov, D. J. Kaup, N. A. Kostov, and T. I. Valchev Part V Mathematical Models in Engineering Impulsive Boundary Layer Flow Past a Permeable Quadratically Stretching Sheet , by V. Kumaran, A. Vanav Kumar, and J. Sarat Chandra Babu Complete Dynamic Modeling of a Stewart Platform Using the Generalized Momentum Approach, by Antonio Mendes Lopes and E. J. Solteiro Pires Spectral Solution for the Air Stripping Pollutants Removal Dynamic Model With Non Linear Steady State Conditions , by A. C. M. Castro, J. Matos, and A. Gavina Three Behavioural Scenarios for Contingent Claims Valuation in Incomplete Markets by L. Boukas, D. Pinheiro, A. A. Pinto, S. Z. Xanthopoulos, and A. N.Yannacopoulos Undesired Oscillations in Pneumatic Systems, by Joao Falcao Carneiro and Fernando Gomes de Almeida A Study of Correlation and Entropy for Multiple Time Series, by Jose A.O. Matos, Silvio M.A. Gama, Heather J. Ruskin, Adel Al Sharkasi, and Martin Crane Characterization and Parameterization of the Singular Manifold of a Simple 6-6 Stewart Platform, by Tiago Charters and Pedro Freitas Part VI Fractional Calculus Applications Some Advances on Image Processing by Means of Fractional Calculus , by E. Cuesta Application of Genetic Algorithms in the Design of an Electrical Potential of Fractional Order, by Isabel S. Jesus, J. A. Tenreiro Machado, and Ramiro S. Barbosa Mellin Transform for Fractional Differential Equations With Variable Potential, by M. Klimek and D. Dziembowski Phase Plane Characteristics of Marginally Stable Fractional Order Systems, by Narges Nazari, Mohammad Haeri, and Mohammad Saleh Tavazoei Application of Fractional Controllers For Quad Rotor, by C. Lebres, V. Santos, N. M. Fonseca Ferreira, and J. A. Tenreiro Machado Regularity of a Degenerated Convolution Semi-Group Without to Use the Poisson Process, by Remi Leandre Part VII Computational Techniques for Engineering Sciences Image Processing for the Estimation of Drop Distribution in Agitated Liquid-Liquid Dispersion, by L.M.R. Bras, E.F. Gomes, and M.M.M. Ribeiro Music and Evolutionary Computation, by Cecilia Reis , Viriato M. Marques, and J. A. Tenreiro Machado Application of Computational Intelligence to Engineering, by Viriato M. Marques , Luis Roseiro , Cecilia Reis, and J. A. Tenreiro Machado Evolutionary Trajectory Optimization for Redundant Robots, by Maria da Graca Marcos, J. A. Tenreiro Machado, and T-P Azevedo-Perdicoulis Part VIII Nonlinear Systems Robust Communication-Masking via a Synchronized Chaotic Lorenz Transmission System , by A. Loria and S. Poinsard A Boundary Layer Problem in Power Law Fluids through a Moving Flat PlateWith Injection , by Chunqing Lu An Overview of the Behaviour of a