SaddleDrop swMATH ID: 824 Software Authors: Koch, Sarah C. Description: 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. Homepage: http://www.math.cornell.edu/~dynamics/SD/index.html Keywords: graphical examples; computer program { t SaddleDrop}; complex Henon map; variable complex dynamics Related Software: R; GRAPH; pLoc-mEuk; iACP; ifs; SPOT; Galaxy; iSS-PseDNC; CANONIK; CHomP; FlowLab; ROptEst; DISCRETA; libagf; ELECTRE; reszeta.lib; Genius; Z_LINEAR_K; GADMM; DALIA Cited in: 14 Documents Standard Articles 1 Publication describing the Software, including 1 Publication in zbMATH Year SaddleDrop: a tool for studying dynamics in \(\mathbb{C}^2\). Zbl 1197.65208Koch, Sarah C. 2010 all top 5 Cited by 20 Authors 3 Ishii, Yutaka 2 Arai, Zin 2 Lynch Hruska, Suzanne 1 Avrutin, Viktor 1 Baake, Michael 1 Bedford, Eric 1 Climenhaga, Vaughn 1 Fundinger, Danny 1 Garijo, Antonio 1 Grimm, Uwe 1 Hruska, Suzanne L. 1 Jarque, Xavier 1 Kanatchikov, Igor V. 1 Koch, Sarah Colleen 1 Osipenko, Georgii Sergeevich 1 Pesin, Yakov Borisovich 1 Priebe Frank, Natalie 1 Robinson, E. Arthur jun. 1 Schanz, Michael 1 Smillie, John all top 5 Cited in 10 Serials 2 Nonlinearity 2 Arnold Mathematical Journal 1 Communications in Mathematical Physics 1 Reports on Mathematical Physics 1 Studia Mathematica 1 Advances in Mathematics 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Experimental Mathematics 1 Discrete and Continuous Dynamical Systems 1 Foundations of Computational Mathematics all top 5 Cited in 10 Fields 13 Dynamical systems and ergodic theory (37-XX) 4 Numerical analysis (65-XX) 3 Several complex variables and analytic spaces (32-XX) 1 Real functions (26-XX) 1 Functions of a complex variable (30-XX) 1 Partial differential equations (35-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Convex and discrete geometry (52-XX) 1 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX) Citations by Year