SaddleDrop

SaddleDrop: a tool for studying dynamics in ℂ 2 In this expository note, we discuss the mathematics behind the computer program SaddleDrop. Based upon ideas of a group at Cornell University, this program draws parameter space pictures for the complex Henon map. The difficulty of this task is explained as we contrast the well-developed theory of one variable complex dynamics with the two variable Henon case.

Keywords for this software

Anything in here will be replaced on browsers that support the canvas element

References in zbMATH (referenced in 14 articles , 1 standard article )

Showing results 1 to 14 of 14.
Sorted by year (citations)

  1. Baake, Michael; Frank, Natalie Priebe; Grimm, Uwe; Robinson, E. Arthur jun.: Geometric properties of a binary non-Pisot inflation and absence of absolutely continuous diffraction (2019)
  2. Garijo, Antonio; Jarque, Xavier: Global dynamics of the real secant method (2019)
  3. Arai, Zin; Ishii, Yutaka: On parameter loci of the Hénon family (2018)
  4. Kanatchikov, Igor V.: Schrödinger wave functional in quantum Yang-Mills theory from precanonical quantization (2018)
  5. Climenhaga, Vaughn; Pesin, Yakov: Building thermodynamics for non-uniformly hyperbolic maps (2017)
  6. Ishii, Yutaka: Dynamics of polynomial diffeomorphisms of (\mathbbC^2): combinatorial and topological aspects (2017)
  7. Koch, Sarah C.: SaddleDrop: a tool for studying dynamics in (\mathbbC^2) (2010)
  8. Ishii, Yutaka: Hyperbolic polynomial diffeomorphisms of (\mathbbC^2). I: A non-planar map (2008)
  9. Arai, Zin: On hyperbolic plateaus of the Hénon map (2007)
  10. Avrutin, V.; Levi, P.; Schanz, M.; Fundinger, D.; Osipenko, G.: Investigation of dynamical systems using symbolic images: efficient implementation and applications (2006)
  11. Bedford, Eric; Smillie, John: The Hénon family: the complex horseshoe locus and real parameter space (2006)
  12. Hruska, Suzanne L.: Rigorous numerical models for the dynamics of complex Hénon mappings on their chain recurrent sets (2006)
  13. Hruska, Suzanne Lynch: A numerical method for constructing the hyperbolic structure of complex Hénon mappings (2006)
  14. Hruska, Suzanne Lynch: Constructing an expanding metric for dynamical systems in one complex variable (2005)