## Iteration theory and its functional equations: proceedings of the International Symposium held at Schloss Hofen (Lochau), Austria, Sept. 28-Oct. 1, 1984 |

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### Contents

On some properties of an absorptive area and a chaotic | 1 |

A functional equation for the embedd | 7 |

On the bifurcation between a chaotic area of T and | 14 |

Copyright | |

22 other sections not shown

### Other editions - View all

Iteration Theory and Its Functional Equations Roman Liedl,Ludwig Reich,Gyorgy Targonski No preview available - 2014 |

### Common terms and phrases

abelian group absorptive area Algebraic analytic iteration antecedents assimilatory automorphisms bifurcation bijection Cayley tree chaos chaotic area closed trajectory coefficients commuting in pairs continuous converges cosets cycle of order decomposition defined definition denote density differential equation dynamical system Edited eigenvalue element embedding endomorphism exists finite fixed point formal power series formula fractional iterates ft(x functional equation given Graz Hence homeomorphism homterval indecomposable infinite interval invertible iteration group iteration of F iteration semigroup iteration theory iterative root Lebesgue measure Lemma Lie group linear Math matrices Mira multi-valued function normal form obtained one-parameter subgroup orbit parameter period phantom pilgerschritt transform polynomials problem Proceedings properties Proposition proved pseudo-process rational iteration real numbers recurrence Reich rotation sequence satisfies Schwaiger segments solution stationary point strange attractors Suppose Targonski Theorem unique