Period doubling and quadrupling for some second-order difference schemes

DOI10.1016/0362-546X(92)90141-ZzbMath0768.58031OpenAlexW2069268279MaRDI QIDQ4032192

Frederick R. Marotto

Publication date: 1 April 1993

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(92)90141-z

zbMATH Keywords

stabilitychaosbifurcationperiodic cyclesperiod doubling

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Stability theory for smooth dynamical systems (37C75) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Cites Work

• Chaotic behavior in the Henon mapping
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• A two-dimensional mapping with a strange attractor
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• Bifurcations from an invariant circle for two-parameter families of maps of the plane: a computer-assisted study
• On the bifurcation of maps of the interval
• The dynamics of density dependent population models
• Loss of stability of self-oscillations close to resonance and versal deformations of equivariant vector fields
• A complete proof of the Feigenbaum conjectures
• Bifurcations of one- and two-dimensional maps
• Some dynamics of second order unimodal difference schemes
• Stable Orbits and Bifurcation of Maps of the Interval
• Simple mathematical models with very complicated dynamics
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