Rigorous bounds for polynomial Julia sets

No abstract is available for this paper.

• Publication year

  2016

• Venue

  ACM Journal of Computer Documentation

• Publication date

  2016-11-01

• Fields of study

  Mathematics, Computer Science, Medicine

• Identifiers
  DOI 10.3934/JCD.2016006
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

• No claims are published for this paper.

• No concepts are published for this paper.

• Dynamical Systems

  2021influential reference
• The Beauty of Fractals: Images of Complex Dynamical Systems by Heinz Otto Peitgen, Peter Richter (review)

  2017cited by this paper
• Complex Interval Arithmetic And Its Applications

  2016cited by this paper
• Implementation and improvements of affine arithmetic

  2015cited by this paper
• A Fresh Look at Generalized Sampling

  2014cited by this paper
• The science of fractal images

  2011cited by this paper
• Who is Julia Sets

  2011cited by this paper
• Introduction to Interval Analysis

  2009cited by this paper
• On Hyperbolic Plateaus of the Hénon Map

  2007cited by this paper
• Interval-based Tracing of Strange Attractors

  2006cited by this paper
• Computability of Julia Sets

  2006cited by this paper
• Robust visualization of strange attractors using affine arithmetic

  2006cited by this paper
• Rigorous numerical studies of the dynamics of polynomial skew products of C^2

  2005cited by this paper
• A Fast Algorithm for Julia Sets of Hyperbolic Rational Functions

  2005cited by this paper
• An Algorithmic Approach to Chain Recurrence

  2005cited by this paper
• Affine Arithmetic: Concepts and Applications

  2004cited by this paper
• Constructing an expanding metric for dynamical systems in one complex variable

  2004influential reference
• Chapter 5 - Set Oriented Numerical Methods for Dynamical Systems

  2002cited by this paper
• Rigorous investigation of the Ikeda map by means of interval arithmetic

  2002cited by this paper
• The computational complexity of some julia sets

  2002cited by this paper
• Reliable two-dimensional graphing methods for mathematical formulae with two free variables

  2001cited by this paper
• Rigorous discretization of subdivision techniques

  2000cited by this paper
• Dynamics in one complex variable

  2000influential reference
• The Lorenz attractor exists

  1999cited by this paper
• A subdivision algorithm for the computation of unstable manifolds and global attractors

  1997cited by this paper
• The Mandelbrot set

  1996cited by this paper
• Rational iteration : complex analytic dynamical systems

  1993cited by this paper
• GLOBAL ANALYSIS BY CELL MAPPING

  1992cited by this paper
• A quasi cell mapping approach to the global dynamical analysis of Newton's root-finding algorithm

  1992cited by this paper
• THE ACCURACY OF COMPUTER ALGORITHMS IN DYNAMICAL SYSTEMS

  1991cited by this paper
• Remarks on Iterated Cubic Maps

  1990cited by this paper
• Chaos and Fractals: The Mathematics Behind the Computer Graphics

  1989cited by this paper
• Cell-To-Cell Mapping A Method of Global Analysis for Nonlinear Systems

  1987cited by this paper
• Cell-to-Cell Mapping

  1987cited by this paper
• Efficient computation of Julia sets and their fractal dimension

  1987cited by this paper
• The beauty of fractals - images of complex dynamical systems

  1986cited by this paper
• The Quadtree and Related Hierarchical Data Structures

  1984cited by this paper
• Complex analytic dynamics on the Riemann sphere

  1984cited by this paper
• Repellers for real analytic maps

  1982cited by this paper
• The range of values of a complex polynomial over a complex interval

  1979cited by this paper
• The range of values of a circular complex polynomial over a circular complex interval

  1979cited by this paper
• Depth-First Search and Linear Graph Algorithms

  1972cited by this paper
• Hyperbolic Julia Sets Are Poly-time Computable

  year unknowncited by this paper
• Some Remarks on Conformal Representation

  year unknowncited by this paper

• No citing papers are available for this paper.