THE SHADOW-CURVES OF THE ORBIT DIAGRAM PERMEATE THE BIFURCATION DIAGRAM, TOO

DOI10.1142/S0218127409024621zbMath1179.37025MaRDI QIDQ3401509

Sarah Cremer, Chip Ross, Meredith Odell

Publication date: 30 January 2010

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

zbMATH Keywords

bifurcation diagramMisiurewicz pointpreperiodic pointattractingrepellingorbit diagram\(Q\)-curveand indifferent periodic pointMyrberg mapP-curve

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Dynamical systems involving smooth mappings and diffeomorphisms (37C05)

Related Items (2)

Investigation of Bifurcations in the Process Equation ⋮ Revealing transitions in friction-excited vibrations by nonlinear time-series analysis

Cites Work

• Will the Real Bifurcation Diagram Please Stand up!
• The Road to Chaos is Filled with Polynomial Curves
• Simple mathematical models with very complicated dynamics

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