Complex Motions and Chaos in Nonlinear Systems

by Valentin Afraimovich (Editor), José António Tenreiro Machado (Editor), Jiazhong Zhang (Editor)

Overview

This book brings together 12 chapters on a new stream of research examining complex phenomena in nonlinear systems—including engineering, physics, and social science. Complex Motions and Chaos in Nonlinear Systems provides readers a particular vantage of the nature and nonlinear phenomena in nonlinear dynamics that can develop the corresponding mathematical theory and apply nonlinear design to practical engineering as well as the study of other complex phenomena including those investigated within social science.

Product Details

ISBN-13:	9783319804187
Publisher:	Springer International Publishing
Publication date:	05/27/2018
Series:	Nonlinear Systems and Complexity , #15
Edition description:	Softcover reprint of the original 1st ed. 2016
Pages:	276
Product dimensions:	6.10(w) x 9.25(h) x (d)

Table of Contents

Chapter 1 Detection of the Quasi-Periodic Processes in Experimental Measurements: Reduction to an "ideal experiment.- Chapter 2 Some Singularities in Fluid Dynamics and Their Bifurcation Analysis.- Chapter 3 Finite Element Analysis of the Nonlinear Fluid-Membrane Interactions Using a Modified Characteristic-Based Split (CBS) Scheme.- Chapter 4 Lock-in behaviors of an airfoil with local excitation in low Reynolds number flow.- Chapter 5 Plasma flow control: progress and problems.- Chapter 6 Hidden dimensions in an Hamiltonian system on networks.- Chapter 7 Input-Output Mechanism of the Discrete Chaos Extension.- Chapter 8 : Steady state solution for a Rayleigh’s piston in a temperature gradient.- Chapter 9 Analytical period-m motions in a parametric, quadratic nonlinear oscillator.- Chapter 10 Period-m motions to chaos in the Duffing oscillator via a discretization technique.