Topics in Nonlinear Dynamics: Applications to Physics, Biology and Economic Systems

A deterministic model of die tossing (to discuss stochasticity vs. determinism) the forced Duffing's equation (chaos in a simple nonlinear system, bifurcations) coupled period-doubling systems coupled thermostatically controlled radiators (frequency locking and chaos in technical control systems) kidney pressure and flow regulation (period-doubling and chaos in a biological system) insulin-glucose metabolism (frequency-locking in experiments on human subjects) environmental and microbiological population models (higher order chaos) the beer production distribution system (chaos in human decision making behaviour) coupled economic sectors (entrainment in the macroeconomic system) coupled map lattices (transition to spatially extended systems) pattern formation in chemical reaction-diffusion systems (Turing structures).