Classification of Escaping Exponential Maps
Markus Förster, Lasse Rempe, Dierk Schleicher
Abstract
We give a complete classification of the set of parameters κ for which the singular value of Eκ:z (z)+κ escapes to infinity under iteration. In particular, we show that every path-connected component of this set is a curve to infinity.
Create a lesson
Related papers
Physical and emergent nonpairwise interactions in oscillator networks: from higher-order phase reduction to coupling design
Riccardo Muolo, Hiroya Nakao, Christian Bick
Degree Growth of Iterates of Curves and Likely Intersections
Sina Saleh, Jit Wu Yap
Infinite prime sumsets in structured and Uk(Φ)-uniform sets
Felipe Hernández, Tristán Radić
Long-Lived Carpet-Like Transients in Time-Dependent Modular Discrete Laplacian Dynamics
Małgorzata Nowak-Kępczyk
SIPHy: Sparse identification of port-Hamiltonian systems from noisy data
Håkon Noren Myhr, Sølve Eidnes, J. Nathan Kutz
Extended dynamic mode decomposition with Fourier dictionaries: Error bounds and fast implementation
Felix Bartel, Sandra Ritter, Manuel Schaller et al.