Second Minimal Orbits, Sharkovski Ordering and Universality in Chaos

DOI10.1142/S021812741730018XzbMath1367.37022arXiv1610.00814MaRDI QIDQ4976128

Naveed Iqbal, Rashad U. Abdulla, Ugur G. Abdulla, Muhammad U. Abdulla

Publication date: 27 July 2017

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

Full work available at URL: https://arxiv.org/abs/1610.00814

zbMATH Keywords

chaos theoryperiodic cyclescontinuous endomorphismSharkovski's theoremsecond minimal orbits

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Dynamical systems involving maps of the interval (37E05)

Related Items

Minimal set of periods for continuous self-maps of the eight space ⋮ Second Minimal Orbits, Sharkovski Ordering and Universality in Chaos

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The universal metric properties of nonlinear transformations
• On the abundance of aperiodic behaviour for maps on the interval
• Universal properties of maps on an interval
• On the existence of Feigenbaum's fixed point
• Dynamics in one dimension
• A theorem of Sarkovskii on the existence of periodic orbits of continuous endomorphisms of the real line
• Quantitative universality for a class of nonlinear transformations
• On finite limit sets for transformations on the unit interval
• On the minimal 2(2k+1)-orbits of the continuous endomorphisms on the real line with application in Chaos theory
• Minimal Periodic Orbits for Continuous Maps of the Interval
• Stratification of Continuous Maps of an Interval
• Periodic Points of Continuous Functions
• Second Minimal Orbits, Sharkovski Ordering and Universality in Chaos