Complex Motions and Chaos in Nonlinear Systems

✍ Scribed by Valentin Afraimovich, José António Tenreiro Machado, Jiazhong Zhang (eds.)

• Publisher: Springer International Publishing
• Year: 2016
• Tongue: English
• Leaves: 278
• Series: Nonlinear Systems and Complexity 15
• Edition: 1
• Category: Library

✦ Synopsis

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.

✦ Table of Contents

Front Matter....Pages i-viii
Detection of Quasi-Periodic Processes in Experimental Measurements: Reduction to an “Ideal Experiment”....Pages 1-37
Some Singularities in Fluid Dynamics and Their Bifurcation Analysis....Pages 39-73
Finite-Element Analysis of Nonlinear Fluid–Membrane Interactions Using a Modified Characteristic-Based Split (CBS) Scheme....Pages 75-105
Lock-In Behaviors of an Airfoil with Local Excitation in Low-Reynolds-Number Flow....Pages 107-135
Nanosecond Pulsed Plasma Flow Control: Progress and Problems....Pages 137-171
Hidden dimensions in an Hamiltonian system on networks....Pages 173-202
Input-Output Mechanism of the Discrete Chaos Extension....Pages 203-233
Steady state solution for a Rayleigh’s piston in a temperature gradient....Pages 235-245
Analytical Period-m Motions in a Parametric, Quadratic Nonlinear Oscillator....Pages 247-258
Periodic Motions to Chaos in Duffing Oscillator via Discretization Technique....Pages 259-276

✦ Subjects

Complexity; Engineering Fluid Dynamics; Nonlinear Dynamics