This is a proceedings of the international conference "Painleve Equations and Related Topics" which was taking place at the Euler International Mathematical Institute, a branch of the Saint Petersburg Department of the SteklovInstitute of Mathematicsof theRussian Academy of Sciences, in Saint Petersburg on June 17 to 23, 2011.
The survey articles discuss the following topics:
General ordinary differential equations
Painleve equations and their generalizations
Painleve property
Discrete Painleve equations
Properties of solutions of all mentioned above...
This is a proceedings of the international conference "Painleve Equations and Related Topics" which was taking place at the Euler International Mat...
The method of normal forms is usually attributed to Poincare although some of the basic ideas of the method can be found in earlier works of Jacobi, Briot and Bouquet. In this book, A.D.Bruno gives an account of the work of these mathematicians and further developments as well as the results of his own extensive investigations on the subject. The book begins with a thorough presentation of the analytical techniques necessary for the implementation of the theory as well as an extensive description of the geometry of the Newton polygon. It then proceeds to discuss the normal form of systems of...
The method of normal forms is usually attributed to Poincare although some of the basic ideas of the method can be found in earlier works of Jacobi, B...