Periodic points and chaotic functions in the unit interval

DOI10.1017/S0004972700008066zbMath0389.54026MaRDI QIDQ4171290

Giulio Pianigiani, Geoffrey Butler

Publication date: 1978

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Mathematics Subject Classification ID

Related Items (12)

Chaotic tatonnement ⋮ Stability of orbit spaces of endomorphisms ⋮ Topological entropy and chaos of interval maps ⋮ Full cascades of simple periodic orbits on the interval ⋮ Distribution of maps with transversal homoclinic orbits in a continuous map space ⋮ Dense distribution of chaotic maps in continuous map spaces ⋮ Asymptotical periodicity for analytic triangular maps of type less than \(2^\infty \) ⋮ Structural stability of nonchaotic difference equations ⋮ There are no piecewise linear maps of type 2^{∞} ⋮ Chaotic behavior of a class of nonlinear differential delay equations ⋮ Scrambled sets and chain recurrence points of generic graph maps ⋮ Chaotic Difference Equations: Generic Aspects

Cites Work

• The qualitative analysis of a difference equation of population growth
• On the bifurcation of maps of the interval
• The dynamics of density dependent population models
• On the nature of turbulence
• Periodic Solutions of a Logistic Difference Equation
• Period Three Implies Chaos

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