Dynamical Systems: Differential Equations, Maps and Chaotic Behaviour. Cet article n’est pas disponible.Dynamical Systems: Differential Equations, Maps and Chaotic Behaviour

This text discusses the qualitative properties of dynamical systems including both differential equations and maps, The approach taken relies heavily on examples (supported by extensive exercises, hints to solutions and diagrams to develop the material including a treatment of chaotic behaviour. The unprecedented popular interest shown in recent years in the chaotic behaviour of discrete dynamic systems including such topics as chaos and fractals has had its impact on the undergraduate and graduate curriculum. The book is aimed at courses in dynamics, dynamical systems and differential equations and dynamical systems for advanced undergraduates and graduate students. Applications in physics, engineering and biology are considered and introduction to fractal imaging and cellular automata are given.

This text discusses the qualitative properties of dynamical systems including both differential equations and maps. The approach taken relies heavily on examples (supported by extensive exercises, hints to solutions and diagrams) to develop the material, including a treatment of chaotic behavior.

The unprecedented popular interest shown in recent years in the chaotic behavior of discrete dynamic systems including such topics as chaos and fractals has had its impact on the undergraduate and graduate curriculum. However there has, until now, been no text which sets out this developing area of mathematics within the context of standard teaching of ordinary differential equations.

Applications in physics, engineering, and geology are considered and introductions to fractal imaging and cellular automata are given.