Dynamics of generalized tangent-like maps

DOI10.1142/S0218127423300343zbMATH Open1546.3707MaRDI QIDQ6538987

Guillermo Sienra, Patricia Domínguez

Publication date: 14 May 2024

Published in: International Journal of Bifurcation and Chaos in Applied Sciences and Engineering (Search for Journal in Brave)

zbMATH Keywords

Julia setmeromorphic functionFatou setBlaschke productessential singularityPoincaré extension

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Meromorphic functions of one complex variable (general theory) (30D30)

Cites Work

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• Expanding endomorphisms of the circle revisited
• Dynamics of meromorphic maps : maps with polynomial schwarzian derivative
• Periodic Fatou Components of Meromorphic Functions
• Dynamics of the family 𝜆tan𝑧
• Finite Blaschke Products and Their Connections
• Cycle doubling, merging, and renormalization in the tangent family
• A STUDY OF THE DYNAMICS OF λsinz
• Repulsive periodic points of meromorphic functions
• Extended escaping set for meromorphic functions outside a countable set of transcendental singularities

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