This book brings together 10 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.
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 Analyzes methods for discontinuous dynamical systems Examines singularities in fluid and thermal dynamics and their bifurcation analysis Illustrates analysis and control of nonlinear dynamical systems with practical applications
Valentin Afraimovich
Bio-network Dynamics Complex Network Fluid Dynamics Fluid-structure Interaction Hamiltonian Systems Lagrangian Coherent Structure Model Reduction Plasma Flows Singularity in Aerodynamics Time-delay Systems complexity