Nonlinear Science and Complexity

Front Matter....Pages I-XI
Front Matter....Pages 1-1
On Synchronization and Its Complexity of Multiple Dynamical Systems....Pages 3-12
Periodic and Chaotic Motions in a Gear-pair Transmission System with Impacts....Pages 13-24
Analytical Prediction of Interrupted Cutting Periodic Motions in a Machine Tool....Pages 25-36
Control of Hopf Bifurcation and Chaos as Applied to Multimachine System....Pages 37-48
Front Matter....Pages 49-49
Group-Invariant Solutions of Fractional Differential Equations....Pages 51-59
Type-II Hidden Symmetries for Some Nonlinear Partial Differential Equations....Pages 61-66
Nonclassical and Potential Symmetries for a Boussinesq Equation with Nonlinear Dispersion....Pages 67-72
Application of the Composite Variational Principle to Shallow Water Equations....Pages 73-78
Conserved Forms of Second Order-Ordinary Differential Equations....Pages 79-84
Analytical Investigation of a Two-Phase Model Describing a Three-Way-Catalytic Converter....Pages 85-92
Front Matter....Pages 93-93
The Role of Invariant Manifolds in the Formation of Spiral Arms and Rings in Barred Galaxies....Pages 95-98
Continuous and Discrete Concepts for Detecting Transport Barriers in the Planar Circular Restricted Three Body Problem....Pages 99-105
Low-Energy Transfers in the Earth–Moon System....Pages 107-114
Gravitational Potential of a Massive Disk. Dynamics Around an Annular Disk....Pages 115-121
An Accounting Device for Biasymptotic Solutions: The Scattering Map in the Restricted Three Body Problem....Pages 123-124
Optimal Capture Trajectories Using Multiple Gravity Assists....Pages 125-130
New Periodic Orbits in the Solar Sail Three-Body Problem....Pages 131-138
A Review of Invariant Manifold Dynamics of the CRTBP and Some Applications....Pages 139-146
Solar Sail Orbits at the Earth-Moon Libration Points....Pages 147-155
Front Matter....Pages 157-157
Collisions of Discrete Breathers in Nonlinear Schrödinger and Klein–Gordon Lattices....Pages 159-164
Front Matter....Pages 157-157
Stability of BEC Systems in Nonlinear Optical Lattices....Pages 165-172
Nonlinear Schrödinger Equations with a Four-Well Potential in Two Dimensions: Bifurcations and Stability Analysis....Pages 173-179
Bose-Einstein Condensates and Multi-Component NLS Models on Symmetric Spaces of BD.I-Type. Expansions over Squared Solutions....Pages 181-188
Front Matter....Pages 189-189
Impulsive Boundary Layer Flow Past a Permeable Quadratically Stretching Sheet....Pages 191-198
Complete Dynamic Modeling of a Stewart Platform Using the Generalized Momentum Approach....Pages 199-210
Numerical Solution of a PDE System with Non-Linear Steady State Conditions that Translates the Air Stripping Pollutants Removal....Pages 211-219
Three Behavioural Scenarios for Contingent Claims Valuation in Incomplete Markets....Pages 221-228
Undesired Oscillations in Pneumatic Systems....Pages 229-243
A Study of Correlation and Entropy for Multiple Time Series....Pages 245-254
Characterization and Parameterization of the Singular Manifold of a Simple 6–6 Stewart Platform....Pages 255-262
Front Matter....Pages 263-263
Some Advances on Image Processing by Means of Fractional Calculus....Pages 265-271
Application of Genetic Algorithms in the Design of an Electrical Potential of Fractional Order....Pages 273-280
Mellin Transform for Fractional Differential Equations with Variable Potential....Pages 281-292
Phase Plane Characteristics of Marginally Stable Fractional Order Systems....Pages 293-301
Application of Fractional Controllers for Quad Rotor....Pages 303-309
Regularity of a Degenerated Convolution Semi-Group Without to Use the Poisson Process....Pages 311-318
Front Matter....Pages 319-319
Image Processing for the Estimation of Drop Distribution in Agitated Liquid-Liquid Dispersion....Pages 321-327
Music and Evolutionary Computation....Pages 329-336
Application of Computational Intelligence to Engineering....Pages 337-345
Evolutionary Trajectory Optimization for Redundant Robots....Pages 347-353
Front Matter....Pages 355-355
Robust Communication-Masking via a Synchronized Chaotic Lorenz Transmission System....Pages 357-365
A Boundary Layer Problem in Power Law Fluids through a Moving Flat Plate....Pages 367-374
An Overview of the Behaviour of a Scattering Map for the Dynamics of Two Interacting Particles in a Uniform Magnetic Field....Pages 375-379
A Generalised Entropy of Curves Approach for the Analysis of Dynamical Systems....Pages 381-388
Uncertainty on a Bertrand Duopoly with Product Differentiation....Pages 389-395
Price-Setting Dynamical Duopoly with Incomplete Information....Pages 397-403
Inductor-Free Version for Chua’s Oscillator Based in Electronic Analogy....Pages 405-411
Model Reduction of Nonlinear Continuous Dynamic Systems on Inertial Manifolds with Delay....Pages 413-418
A Fuzzy Crisis in a Duffing-Van der Pol System....Pages 419-424
Back Matter....Pages 425-426