Orbit analysis. Contraction mapping theorem. Quadratic maps. Bifurcations. Definition of chaos. Sarkovskii's theorem. Fractal sets. Full lecture notes will be provided. The following may prove useful, ...

Over the past two decades scientists, mathematicians, and engineers have come to understand that a large variety of systems exhibit complicated evolution with time. This complicated behavior is known ...

While many books have discussed methodological advances in nonlinear dynamical systems theory (NDS), this volume is unique in its focus on NDS’s role in the development of psychological theory. After ...

Stability and bifurcation in vector fields and discrete maps. Phase portraits and limit cycles. Introduction to chaos, Lyapunov exponents, and fractals. Fall 2005 - exams: 1st midterm and 2nd midterm ...

Chaos and Dynamical Systems David P. Feldman Chaos and Dynamical Systems presents an accessible, clear introduction to dynamical systems and chaos theory, important and exciting areas that have shaped ...

Stability and bifurcation in vector fields and discrete maps. Phase portraits and limit cycles. Introduction to chaos and Lyapunov exponents. Fall 2005 final exam for practice. Note that the offering ...

Furthermore, ideas from classical dynamical systems, such as Lyapunov exponents, sensitivity to initial conditions and synchronisation, have intriguing connections with the ideas in hydrodynamics, ...