Construction of convex solutions for the second type of Feigenbaum's functional equations
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Publication:1043028
DOI10.1007/s11425-009-0004-zzbMath1185.39016OpenAlexW2145479651MaRDI QIDQ1043028
Publication date: 7 December 2009
Published in: Science in China. Series A (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11425-009-0004-z
iterative methodsconstructive methodinitial functioncontinuous convex solutionFeigenbaum's functional equation of the second type
Functional equations for real functions (39B22) Iteration theory, iterative and composite equations (39B12)
Related Items (3)
\(C^{\infty}\)-solutions for the second type of generalized Feigenbaum's functional equations ⋮ Single-valley solutions of the second type of FKS equation ⋮ Multi-modal-extended solutions of the Feigenbaum equation
Cites Work
- The general exact bijective continuous solution of Feigenbaum's functional equation
- Convex solutions of polynomial-like iterative equations
- The universal metric properties of nonlinear transformations
- New proofs of the existence of the Feigenbaum functions
- On the existence of Feigenbaum's fixed point
- Continued fractions and solutions of the Feigenbaum-Cvitanović equation
- A complete proof of the Feigenbaum conjectures
- Quantitative universality for a class of nonlinear transformations
- Asymptotic properties of sequences of iterates of nonlinear transformations
- Asymptotic and essentially singular solutions of the Feigenbaum equation.
- Asymptotics of scaling parameters for period-doubling in unimodal maps with asymmetric critical points
- Fixed points of composition operators. II
- On the dynamics of polynomial-like mappings
- A computer-assisted proof of the Feigenbaum conjectures
- Existence and properties of \(p\)-tupling fixed points
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