A continuous planar map with many periodoc points

DOI10.1016/0096-3003(81)90032-1zbMath0475.39005OpenAlexW2004103760MaRDI QIDQ1159827

Bruce L. Clarke, Thomas D. Rogers

Publication date: 1981

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0096-3003(81)90032-1

zbMATH Keywords

periodic orbitshomoclinic pointBirkhoff-Smale theoremdiscrete delayed logistic equation

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Additive difference equations (39A10) Discrete version of topics in analysis (39A12)

Related Items (8)

Attractors of randomly forced logistic model with delay: stochastic sensitivity and noise-induced transitions ⋮ Stochastic sensitivity analysis of noise-induced extinction in the Ricker model with delay and allee effect ⋮ Analysis of noise-induced transitions in a generalized logistic model with delay near Neimark–Sacker bifurcation ⋮ Combined impacts of the Allee effect, delay and stochasticity: persistence analysis ⋮ Rich dynamics of discrete delay ecological models ⋮ Multiple bifurcations and periodic ``bubbling in a delay population model ⋮ Transformation of chaotic nonlinear polynomial difference systems through Newton iterations ⋮ New stability criteria and bifurcation analysis for nonlinear discrete-time coupled loops with multiple delays

Cites Work

• A two-dimensional mapping with a strange attractor
• The geometry of chaos: Dynamics of a nonlinear second-order difference equation
• Bifurcations from an invariant circle for two-parameter families of maps of the plane: a computer-assisted study
• The dynamics of density dependent population models
• Snap-back repellers imply chaos in \(\mathbb{R}^n\)
• Diffeomorphisms with infinitely many sinks
• Period Three Implies Chaos
• Differentiable dynamical systems
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