Detailing the very latest research, this self-contained book discusses the major mathematical tools necessary for the study of complex dynamics at an advanced level. Complete proofs of some of the major tools are presented; some, such as the Bers-Royden theorem on holomorphic motions, appear for the very first time in book format. Originating with the pioneering works of P. Fatou and G. Julia, the subject of complex dynamics has seen great advances in recent years. This necessary book will appeal to graduate students and researchers working in dynamical systems and related fields. Carefully...
Detailing the very latest research, this self-contained book discusses the major mathematical tools necessary for the study of complex dynamics at an ...
The Theory of Dynamical Systems was first introduced by the great mathematician Henri Poincare as a qualitative study of differential equations. For more than forty years, Jacob Palis has made outstanding contributions to this area of mathematics. In the 1970s, following in the wake of Stephen Smale, he became one of the major figures in developing the Theory of Hyperbolic Dynamics and Structural Stability.
This volume presents a selection of Jacob Palis' mathematical contributions, starting with his PhD thesis and ending with papers on what is widely known as the Palis Conjecture....
The Theory of Dynamical Systems was first introduced by the great mathematician Henri Poincare as a qualitative study of differential equations. Fo...
