Basin of Attraction of Periodic Orbits of Maps on the Real Line

DOI10.1080/10236190410001731443zbMath1050.37006OpenAlexW2146808525MaRDI QIDQ4822523

Robert J. Sacker, Saber N. Elaydi

Publication date: 25 October 2004

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://digitalcommons.trinity.edu/cgi/viewcontent.cgi?article=1050&context=math_faculty

zbMATH Keywords

period-doubling bifurcationattracting periodic orbitsRicker's mapcontinuous maps on the real linelostistic mapsquasi-unimodal maps

Mathematics Subject Classification ID

Related Items (13)

Dispersal effects on a discrete two-patch model for plant-insect interactions ⋮ Extinction and the Allee effect in an age structured Ricker population model with inter-stage interaction ⋮ A conjecture on the stability of the periodic solutions of Ricker's equation with periodic parameters ⋮ Noisy prediction-based control leading to stability switch ⋮ Adaptive delayed reproduction in a 2-dimensional discrete-time competition model ⋮ Global dynamics of triangular maps ⋮ Global dynamics of a discrete two-species Lottery-Ricker competition model ⋮ Stability and invariant manifolds of a generalized Beddington host-parasitoid model ⋮ Hierarchical competition models with Allee effects ⋮ Stability of the Gumowski-Mira equation with period-two coefficient ⋮ A sufficient condition for stability using slopes of isoclines in planar mappings ⋮ Bifurcation in the almost periodic Ricker map ⋮ Long-term dynamics of discrete-time predator–prey models: stability of equilibria, cycles and chaos

Cites Work

• Global stability of population models
• Dynamics in one dimension
• Asymptotic approach to periodic orbits and local prolongations of maps
• Global Stability of Cycles: Lotka-Volterra Competition Model With Stocking

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