Ordinary differential equations (ODEs), difference equations and dynamical systems provide complementary frameworks for modelling the evolution of quantities in continuous or discrete time. ODEs ...

Stochastic differential equations (SDEs) provide a mathematical framework for modelling dynamical systems influenced by random perturbations. At their core, SDEs extend classical ordinary differential ...

Introduces the theory and applications of dynamical systems through solutions to differential equations.Covers existence and uniqueness theory, local stability properties, qualitative analysis, global ...

Society for Industrial and Applied Mathematics. Differential equations are the basis for models of any physical systems that exhibit smooth change. This book combines much of the material found in a ...

Example-oriented survey of nonlinear dynamical systems, including chaos. Combines numerical exploration of differential equations describing physical problems with analytic methods and geometric ...

Use individual and team exercises to build skills for a dynamic systems approach. Engineered systems increasingly must exploit complex interactions between multiple domains—mechanical, electrical, ...