Remarks on multiparameter mappings: controlled-parameter and threshold maps

DOI10.1016/0025-5564(83)90050-0zbMath0509.58032OpenAlexW2008089175MaRDI QIDQ1838212

Thomas D. Rogers

Publication date: 1983

Published in: Mathematical Biosciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0025-5564(83)90050-0

zbMATH Keywords

chaotic dynamicsperiod doubling bifurcationsfamilies of interval maps

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Related Items (4)

Dynamics of a two-parameter family of maps of the interval ⋮ On redefining a snap-back repeller ⋮ Rich dynamics of discrete delay ecological models ⋮ Rarity and chaos

Cites Work

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• Sensitive dependence to initial conditions for one dimensional maps
• The geometry of chaos: Dynamics of a nonlinear second-order difference equation
• On the abundance of aperiodic behaviour for maps on the interval
• The extinction of slowly evolving dynamical systems
• The dynamics of a discrete population model with threshold
• The dynamics of density dependent population models
• Snap-back repellers imply chaos in \(\mathbb{R}^n\)
• Chaos in the cubic mapping
• No Division Implies Chaos
• On the Existence of Invariant Measures for Piecewise Monotonic Transformations
• Perturbations of mappings with periodic repellers
• Simple mathematical models with very complicated dynamics

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