A timely, accessible introduction to the mathematics of chaos.
The past three decades have seen dramatic developments in the theory of dynamical systems, particularly regarding the exploration of chaotic behavior. Complex patterns of even simple processes arising in biology, chemistry, physics, engineering, economics, and a host of other disciplines have been investigated, explained, and utilized.
Introduction to Discrete Dynamical Systems and Chaos makes these exciting and important ideas accessible to students and scientists by assuming, as a background, only the...
A timely, accessible introduction to the mathematics of chaos.
The past three decades have seen dramatic developments in the theory of dy...
The volume contains the texts of four courses, given bythe authors at a summer school that sought to present thestate of the art in the growing field of topological methodsin the theory of o.d.e. (in finite and infinitedimension), and to provide a forum for discussion of the wide variety ofmathematical tools which are involved. The topics coveredrange from the extensions of the Lefschetz fixed point andthe fixed point index on ANR's, to the theory of parity ofone-parameter families of Fredholm operators, and from thetheory of coincidence degree for mappings on Banach spacesto homotopy methods...
The volume contains the texts of four courses, given bythe authors at a summer school that sought to present thestate of the art in the growing field ...
Highlighting the question of how much detail is relevant when modelling and analyzing biological phenomena, this volume contains a series of essays which explore current research in population problems and dynamics, epidemiology, ecology and mathematical biology.
Highlighting the question of how much detail is relevant when modelling and analyzing biological phenomena, this volume contains a series of essays wh...
