Transformation of chaotic nonlinear polynomial difference systems through Newton iterations

DOI10.1007/BF02837225zbMath0930.37015OpenAlexW1984763574MaRDI QIDQ1267827

Sujit K. Bose

Publication date: 15 February 2000

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02837225

zbMATH Keywords

decompositionlogistic mapHénon maposcillationsmonotone convergenceNewton iterationschaotic sequencesdelayed-logistic mapnonlinear polynomial difference systems

Mathematics Subject Classification ID

Additive difference equations (39A10) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Dynamical systems involving maps of the interval (37E05)

Cites Work

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• The geometry of chaos: Dynamics of a nonlinear second-order difference equation
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• Regular and stochastic motion
• Discrete Dynamical Systems in Dimensions One and Two
• Simple mathematical models with very complicated dynamics
• Differentiable dynamical systems

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