Dynamics of the complex standard family
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Publication:1276320
DOI10.1006/jmaa.1998.6134zbMath0917.58037OpenAlexW2041082340MaRDI QIDQ1276320
Publication date: 5 August 1999
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jmaa.1998.6134
Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Dynamical systems over complex numbers (37F99)
Related Items (15)
On a family of rational perturbations of the doubling map ⋮ Singular values and bounded Siegel disks ⋮ Analytic maps of parabolic and elliptic type with trivial centralisers ⋮ Dynamics of transcendental meromorphic functions (( )/( )) having rational Schwarzian derivatives ⋮ Dissipative feedback control and synchronization of Julia sets of the complex standard family ⋮ Siegel disks and periodic rays of entire functions ⋮ On the connectivity of the escaping set in the punctured plane ⋮ The escaping set of transcendental self-maps of the punctured plane ⋮ Dynamic rays of bounded-type transcendental self-maps of the punctured plane ⋮ Slow escaping points of meromorphic functions ⋮ A separation theorem for entire transcendental maps ⋮ Function theory on annuli ⋮ Escaping Fatou components of transcendental self-maps of the punctured plane ⋮ Control and synchronization of Julia sets of the complex dissipative standard system ⋮ On the formulas of meromorphic functions with periodic Herman rings
Cites Work
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- Dynamical properties of some classes of entire functions
- Bifurcations of circle maps: Arnol'd tongues, bistability and rotation intervals
- Local connectivity of the Julia set for geometrically finite rational maps
- Iteration of exponential functions
- Complex analytic dynamics on the Riemann sphere
- Dynamics of exp (z)
- Wandering domains for maps of the punctured plane
- Dynamics of entire functions near the essential singularity
- A finiteness theorem for a dynamical class of entire functions
- Rotation sets are closed
- Iteration of meromorphic functions
- The domains of normality of holomorphic self-maps of C^*
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