Nonlinear and Complex Dynamics

This book examines nonlinear dynamics - chaos, fractals and stochasticities - in such diverse settings as celestial mechanics including impact dynamics, financial systems including inflation and biochemical systems, such as neural and hydro-dynamic systems.

Nonlinear Dynamics of 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.

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

Texte du rabat

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.

Contenu

Part I On the Mechanisms of Natural Transport in the Solar System.- A Method to Design Efficient Low-Energy, Low-Thrust Transfers to the Moon.- Low-Energy Earth-to-Halo Transfers in the Earth--Moon Scenario with Sun-Perturbation.- On the relation between the Bicircular model and the Coupled Circular Restricted Three-Body problem approximation.- Adaptive Remeshing Applied to Reconfiguration of Spacecraft Formations.- A cartographic study of the phase space of the elliptic restricted three body problem: Application to the Sun-Jupiter-Asteroid system.- Parameter identification of the Langmuir model for adsorption and desorption kinetic data.- Effects of Suspended Sediment on the Structure of Turbulent Boundary Layer.- A renormalization-group study of the Potts model with competing ternary and binary interactions.- The mechanical properties of CaX6 (X=B and C).- The System Design of an Autonomous Mobile Waste Sorter Robot.- Evidence of the Wave Phase Coherence for Freak Wave Events.- Quantum Mechanical Treatment of the Lamb Shift without Taken into Account the Electric Charge.- Determining the Climate Zones of Turkey by Center-Based Clustering Methods.- The determination of rainy clouds motion using optical flow.- Hydrodynamic modeling of port foster, deception island (Antarctica).- Part II Localized Activity States for Neuronal Field Equations of Feature Selectivity in a Stimulus Space with Toroidal Topology.- Clara M. Ionescu and J. Tenreiro Machado, Intrinsic fractal dynamics in the respiratory system by means of pressure-volume loops.- Part III Forecasting Project Costs by Using Fuzzy Logic.- Why You Should Consider Nature-Inspired Optimization Methods in Financial Mathematics.- Desirable role in a revenue-maximizing tariff model with uncertainty.- Can Term Structure of Interest Rate Predict Inflation and Real Economic Activity: Nonlinear Evidence from Turkey?.- Licensing in an international competition with differentiated goods.- Multidimensional ScalingAnalysis of Stock Market Indexes.