Jacob Palis - Selected Works

ISBN-13: 9783319361666 / Angielski / Miękka / 2016 / 711 str.

Jacob Palis; Welington De Melo

Opis

The Theory of Dynamical Systems was first introduced by the great mathematician Henri Poincare as a qualitative study of differential equations.

Spis treści

A Short Summary of my Scientific Life: J. Palis.- On Morse-Smale Dynamical Systems:  J. Palis.- Structural Stability Theorems: J. Palis and S. Smale.- A Note on Ω-Stability: J. Palis.- Neighborhoods of Hyperbolic Sets: M. Hirsch, J. Palis, C. Pugh and M. Shub.- Hyperbolic Non wandering Sets on Two-Dimensional Manifolds: S. Newhouse and J. Palis.- The Topology of Holomorphic Flows with Singularity: C. Camacho, N.H. Kuiper and J. Palis.- Topological Equivalence of Normally Hyperbolic Dynamical Systems: J. Palis and F. Takens.- Moduli of Stability and Bifurcation Theory: J. Palis.- Characterising Diffeomorphisms with Modulus of Stability One: W. de Melo, J. Palis and S.J. van Strien.- Bifurcations and Stability of Families of Diffeomorphisms: S. Newhouse, J. Palis and F. Takens.- Stability of Parametrized Families of Gradient Vector Fields: J. Palis and F. Takens.- A Note on the Inclination Lemma (λ-Lemma) and Feigenbaum's Rate of Approach: J. Palis.- Cycles and Measure of Bifurcation Sets for Two-Dimensional Diffeomorphisms: J. Palis and F. Takens.- Hyperbolicity and the Creation of Homoclinic Orbits:J. Palis and F. Takens.- On the C1 Ω-Stability Conjecture: J. Palis.- Centralizers of Anosov Diffeomorphisms on Tori: J. Palis and J.- C. Yoccoz.- Homoclinic Tangencies for Hyperbolic Sets of Large Hausdorff Dimension: J. Palis and J.- C. Yoccoz.- High Dimension Diffeomorphisms Displaying Infinitely Many Periodic Attractors: J. Palis and M. Viana.- On the Arithmetic Sum of Regular Cantor Sets: J. Palis and J.-C. Yoccoz.- A Global View of Dynamics and a Conjecture on the Denseness of Finitude of Attractors: J. Palis.- Fers à cheval non uniformément hyperboliques engendrés par une bifurcation homocline et densité nulle des attracteurs. (French) [Non-Uniformly Hyperbolic Horseshoes Generated by Homoclinic Bifurcations and Zero Density of Attractors]: J. Palis and J.-C. Yoccoz.- Homoclinic Tangencies and Fractal Invariants in Arbitrary Dimension: C.G. Moreira, J. Palis and M. Viana.- A Global Perspective for Non-Conservative Dynamics: J. Palis.- Non-Uniformly Hyperbolic Horseshoes Arising From Bifurcations of Poincaré Heteroclinic Cycles: J. Palis and J.- C. Yoccoz.- List of Publications of Jacob Palis Junior.- List of Ph.D. Students of Jacob Palis Junior at IMPA.- Acknowledgements.

O autorze

Jacob Palis is a member of the Brazilian Academy of Science and a professor at IMPA, Rio de Janeiro. He has received many international prizes, he is a member of thirteen Academies of Sciences and a holder of honorary degrees from six universities. In 2010 he was awarded the Balzan Prize for his fundamental contributions in the Mathematical Theory of Dynamical Systems.