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This book presents recent developments in nonlinear dynamics with an emphasis on complex systems. The volume illustrates new methods to characterize the solutions of nonlinear dynamics associated with complex systems. This book contains the following topics: new solutions of the functional equations, optimization algorithm for traveling salesman problem, fractals, control, fractional calculus models, fractional discretization, local fractional partial differential equations and their applications, and solutions of fractional kinetic equations.
List of contents
New solutions of the functional equations and their possible application in treatment of complex systems.- A modified and enhanced Ant Colony Optimization Algorithm for traveling salesman problem.- Fractal Time Motion on Particle Diffusion.- An Autotuning Method for a Fractional Order PD Controller for Vibration Suppression.- Advanced control strategies of the 13C isotope separation columns cascade.- Multiscale characterization and model for the dynamic behavior of ferroelectric materials using fractional operators.- Energy decay in a quasilinear system with finite and infinite memories.- Finite Element Method for Schnackenberg Model.- Empirical Copula in the Detection of Batch Effects.- Exact traveling wave solutions for local fractional partial differential equations in mathematical physics.- A new numerical approximation of fractional discretization: Upwind discretization for Riemann-Liouville and Caputo derivatives.- Certain Fractional Integrals and Solutions of Fractional Kinetic Equations involving the product of S-function.- Application of Conformable Adomian Decomposition Method and Conformable Differential Transform Method to Systems of Differential Equations
About the author
Dr. Kenan Tas is a Professor and Provost Of The Çankaya University, Ankara, Turkey. Dr. Dumitru Baleanu is a Professor with Institute of Space Sciences, Magurele-Bucharest, Romania and Visiting Staff Member At Cankaya University, Ankara, Turkey. Dr. J.A. Tenreiro Machado is Principal Coordinator Professor within the Department of Electrical Engineering, Isep-Institute of Engineering, Polytechnic of Porto, Portugal.
Summary
Discusses novel insights into nonlinear dynamical systems and new theory and methodology applied to nonlinear physics, nonlinear engineering and nonlinear social science
Includes functional equations and their application in treatment of complex systems
Presents local fractional partial differential equations and their applications in physics
