Online Public Access Catalogue (OPAC)
Library,Documentation and Information Science Division

“A research journal serves that narrow

borderland which separates the known from the unknown”

-P.C.Mahalanobis


Image from Google Jackets

Dynamical systems / [edited by] Araceli Bonifant.

By: Contributor(s): Material type: TextTextSeries: Collected papers of John Milnor ; VI, VII.Publication details: Providence : American Mathematical Society, 2012. (VI) 2014. (VII)Description: xii, 546 p. : illustrations ; 26 cm; xvi, 592 p. : illustrations (some color) ; 26 cmISBN:
  • 9780821891391 (vi)
  • 9781470409371 (vii)
Subject(s): DDC classification:
  • 515.39 23 M659
Contents:
VI: pt. I REAL DYNAMICS -- Introduction -- The characteristics of a vector field on the two-sphere (1953) -- On the concept of attractor (1985) -- On the concept of attractor: correction and remarks (1985) -- Directional entropies of cellular automaton-maps (1986) -- On the entropy geometry of cellular automata (1988) -- Non-expansive Henon maps (1988) -- On iterated maps of the interval (1988) / W. Thurston -- A monotonicity conjecture for real cubic maps (1995) / C. Tresser -- On entropy and monotonicity for real cubic maps (2000) / P. Sentenac -- Fubini foiled: Katok's paradoxical example in measure theory (1997) -- pt. II COMPLEX DYNAMICS -- Introduction -- Dynamical properties of plane polynomial automorphisms (1989) / S. Friedland -- Self-similarity and hairiness in the Mandelbrot set (1989) -- Remarks on iterated cubic maps (1992) -- Geometry and dynamics of quadratic rational maps (1993) / Tan Lei -- The Fibonacci unimodal map (1993) / M. Lyubich -- Fixed points of polynomial maps. Part II: Fixed point portraits (1993) / L. Goldberg -- The mathematical work of Curt McMullen (1999).
VII: Preface -- Dedication -- Acknowledgments -- Addendum: updated references -- Introduction -- Notes on surjective cellular automaton-maps (unpublished manuscript of 1984) -- Tsujii's monotonicity proof for real quadratic maps (unpublished manuscript of 2000) -- Local connectivity of Julia sets: expository lectures (2000) -- On rational maps with two critical points (2000) -- Periodic orbits, external rays and the Mandelbrot set: an expository account (2000) -- Pasting together Julia sets - a worked out example of mating (2004) -- On Lattès maps (2006) -- Elliptic curves as attractors in P², Part I: dynamics (2007) / with A. Bonifant and M. Dabija --Schwarzian derivatives and cylinder maps (2008) / with A. Bonifant -- Cubic polynomial maps with periodic critical orbit, Part I (2009) -- Cubic polynomial maps with periodic critical orbit, Part II: escape regions (2010) / with A. Bonifant and J. Kiwi -- Errata for "Cubic polynomial maps with periodic critical orbit, Part II: escape regions (2010)" / with A. Bonifant and J. Kiwi -- Hyperbolic components (2012) / with an appendix by A. Poirier.
Tags from this library: No tags from this library for this title. Log in to add tags.
Holdings
Item type Current library Call number Status Date due Barcode Item holds
Books ISI Library, Kolkata 515.39 M659 (Browse shelf(Opens below)) Available 136025
Books ISI Library, Kolkata 515.39 M659 (Browse shelf(Opens below)) Available 136026
Total holds: 0

VI: 1953-2000
VII: 1984-2012

Includes bibliographical references and indexes.

VI:
pt. I REAL DYNAMICS --
Introduction --
The characteristics of a vector field on the two-sphere (1953) --
On the concept of attractor (1985) --
On the concept of attractor: correction and remarks (1985) --
Directional entropies of cellular automaton-maps (1986) --
On the entropy geometry of cellular automata (1988) --
Non-expansive Henon maps (1988) --
On iterated maps of the interval (1988) / W. Thurston --
A monotonicity conjecture for real cubic maps (1995) / C. Tresser --
On entropy and monotonicity for real cubic maps (2000) / P. Sentenac --
Fubini foiled: Katok's paradoxical example in measure theory (1997) --
pt. II COMPLEX DYNAMICS --
Introduction --
Dynamical properties of plane polynomial automorphisms (1989) / S. Friedland --
Self-similarity and hairiness in the Mandelbrot set (1989) --
Remarks on iterated cubic maps (1992) --
Geometry and dynamics of quadratic rational maps (1993) / Tan Lei --
The Fibonacci unimodal map (1993) / M. Lyubich --
Fixed points of polynomial maps. Part II: Fixed point portraits (1993) / L. Goldberg --
The mathematical work of Curt McMullen (1999).

VII:
Preface --
Dedication --
Acknowledgments --
Addendum: updated references --
Introduction --
Notes on surjective cellular automaton-maps (unpublished manuscript of 1984) --
Tsujii's monotonicity proof for real quadratic maps (unpublished manuscript of 2000) --
Local connectivity of Julia sets: expository lectures (2000) --
On rational maps with two critical points (2000) --
Periodic orbits, external rays and the Mandelbrot set: an expository account (2000) --
Pasting together Julia sets - a worked out example of mating (2004) --
On Lattès maps (2006) --
Elliptic curves as attractors in P², Part I: dynamics (2007) / with A. Bonifant and M. Dabija --Schwarzian derivatives and cylinder maps (2008) / with A. Bonifant --
Cubic polynomial maps with periodic critical orbit, Part I (2009) --
Cubic polynomial maps with periodic critical orbit, Part II: escape regions (2010) / with A. Bonifant and J. Kiwi --
Errata for "Cubic polynomial maps with periodic critical orbit, Part II: escape regions (2010)" / with A. Bonifant and J. Kiwi --
Hyperbolic components (2012) / with an appendix by A. Poirier.

There are no comments on this title.

to post a comment.
Library, Documentation and Information Science Division, Indian Statistical Institute, 203 B T Road, Kolkata 700108, INDIA
Phone no. 91-33-2575 2100, Fax no. 91-33-2578 1412, ksatpathy@isical.ac.in