Complex Motions and Chaos in Nonlinear Systems

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.

Presents recent advances in nonlinear dynamics including analytical solutions, chaos in Hamiltonian systems, nonlinear dynamics in fluid and thermal dynamics, nonlinear geophysical dynamics, time-delay, and bio-network dynamics

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.