Nonlinear Science and Complexity

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Format: Hardcover
Pub. Date: 2010-11-11
Publisher(s): Springer Verlag
List Price: $199.99

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Summary

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

Table of Contents

Nonlinear Dynamics of Continuous and Discontinuous Dynamical Systems
On Synchronization and Its Complexity of Multiple Dynamical Systemsp. 3
Periodic and Chaotic Motions in a Gear-pair Transmission System with Impactsp. 13
Analytical Prediction of Interrupted Cutting Periodic Motions in a Machine Toolp. 25
Control of Hopf Bifurcation and Chaos as Applied to Multimachine Systemp. 37
Lie Group Analysis and Applications in Nonlinear Sciences
Group-Invariant Solutions of Fractional Differential Equationsp. 51
Type-II Hidden Symmetries for Some Nonlinear Partial Differential Equationsp. 61
Nonclassical and Potential Symmetries for a Boussinesq Equation with Nonlinear Dispersionp. 67
Application of the Composite Variational Principle to Shallow Water Equationsp. 73
Conserved Forms of Second Order-Ordinary Differential Equationsp. 79
Analytical Investigation of a Two-Phase Model Describing a Three-Way-Catalytic Converterp. 85
Celestial Mechanics and Dynamical Astronomy: Methods and Applications
The Role of Invariant Manifolds in the Formation of Spiral Arms and Rings in Barred Galaxiesp. 95
Continuous and Discrete Concepts for Detecting Transport Barriers in the Planar Circular Restricted Three Body Problemp. 99
Low-Energy Transfers in the Earth-Moon Systemp. 107
Gravitational Potential of a Massive Disk. Dynamics Around an Annular Diskp. 115
An Accounting Device for Biasymptotic Solutions: The Scattering Map in the Restricted Three Body Problemp. 123
Optimal Capture Trajectories Using Multiple Gravity Assistsp. 125
New Periodic Orbits in the Solar Sail Three-Body Problemp. 131
A Review of Invariant Manifold Dynamics of the CRTBP and some Applicationsp. 139
Solar Sail Orbits at the Earth-Moon Libration Pointsp. 147
Mathematical Modeling of Nonlinear Structures in Bose-Einstein Condensates
Collisions of Discrete Breathers in Nonlinear Schrödinger and Klein-Gordon Latticesp. 159
Stability of BEC Systems in Nonlinear Optical Latticesp. 165
Nonlinear Schrödinger Equations with a Four-Well Potential in Two Dimensions: Bifurcations and Stability Analysisp. 173
Bose-Einstein Condensates and Multi-Component NLS Models on Symmetric Spaces of BD.I-Type. Expansions over Squared Solutionsp. 181
Mathematical Models in Engineering
Impulsive Boundary Layer Flow Past a Permeable Quadratically Stretching Sheetp. 191
Complete Dynamic Modeling of a Stewart Platform Using the Generalized Momentum Approachp. 199
Numerical Solution of a PDE System with Non-Linear Steady State Conditions that Translates the Air Stripping Pollutants Removalp. 211
Three Behavioural Scenarios for Contingent Claims Valuation in Incomplete Marketsp. 221
Undesired Oscillations in Pneumatic Systemsp. 229
A Study of Correlation and Entropy for Multiple Time Seriesp. 245
Characterization and Parameterization of the Singular Manifold of a Simple 6-6 Stewart Platformp. 255
Fractional Calculus Applications
Some Advances on Image Processing by Means of Fractional Calculusp. 265
Application of Genetic Algorithms in the Design of an Electrical Potential of Fractional Orderp. 273
Mellin Transform for Fractional Differential Equations with Variable Potentialp. 281
Phase Plane Characteristics of Marginally Stable Fractional Order Systemsp. 293
Application of Fractional Controllers for Quad Rotorp. 303
Regularity of a Degenerated Convolution Semi-Group Without to Use the Poisson Processp. 311
Computational Techniques for Engineering Sciences
Image Processing for the Estimation of Drop Distribution in Agitated Liquid-Liquid Dispersionp. 321
Music and Evolutionary Computationp. 329
Application of Computational Intelligence to Engineeringp. 337
Evolutionary Trajectory Optimization for Redundant Robotsp. 347
Nonlinear Systems
Robust Communication-Masking via a Synchronized Chaotic Lorenz Transmission Systemp. 357
A Boundary Layer Problem in Power Law Fluids through a Moving Flat Platep. 367
An Overview of the Behaviour of a Scattering Map for the Dynamics of Two Interacting Particles in a Uniform Magnetic Fieldp. 375
A Generalised Entropy of Curves Approach for the Analysis of Dynamical Systemsp. 381
Uncertainty on a Bertrand Duopoly with Product Differentiationp. 389
Price-Setting Dynamical Duopoly with Incomplete Informationp. 397
Inductor-Free Version for Chua's Oscillator Based in Electronic Analogyp. 405
Model Reduction of Nonlinear Continuous Dynamic Systems on Inertial Manifolds with Delayp. 413
A Fuzzy Crisis in a Duffing-Van der Pol Systemp. 419
Name Indexp. 425
Table of Contents provided by Ingram. All Rights Reserved.

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