On properties of coupled quadratic mappings

DOI10.1016/S0362-546X(98)00015-7zbMath0919.58036MaRDI QIDQ4238353

V. A. Dobrynskij

Publication date: 30 March 1999

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

zbMATH Keywords

Perron-Frobenius operatorattractorquadratic mappingLyapunov exponenttopologically invariant set

Mathematics Subject Classification ID

Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Ergodic theory (37A99)

Cites Work

• Unnamed Item
• The dynamics of the Hénon map
• The dynamics of recurrent inhibition
• On iterations of \(1-\alpha x^2\) on \((-1,1)\)
• Absolutely continuous invariant measures for one-parameter families of one-dimensional maps
• Decay of correlations for certain quadratic maps
• Snap-back repellers imply chaos in \(\mathbb{R}^n\)
• Coupling induced statistical cycling in two diffusively coupled maps
• Period Three Implies Chaos

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