Nonlinear Dynamics and Chaos: With Applications to Physics, Biology, Chemistry, and Engineering

provides a good foundation - and a joyful experience! - for anyone who'd like to learn about nonlinear dynamics and chaos from an applied perspective.
stresses analytical methods, concrete examples, and geometric intuition
theory is developed systematically, starting with first-order differential equations and their bifurcations, followed by phase plane analysis, limit cycles and their bifurcations, and culminating with the Lorenz equations, chaos, iterated maps, period doubling, renormalization, fractals, strange attractors, and synchronization
prerequisites are comfort with multivariable calculus and linear algebra, as well as a first course in physics.
changes to this edition include substantial exercises about conceptual models of climate change, an updated treatment of the SIR model of epidemics, and amendments (based on recent research) about the Selkov model of oscillatory glycolysis.
most notable change is a new chapter about the Kuramoto model.