Analysis of Carleman representation of analytical recursions

DOI10.1006/jmaa.1998.5986zbMath0937.37023OpenAlexW2027519493MaRDI QIDQ1269689

K. Appert

Publication date: 8 June 2000

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/be50da618b3ee1b75ac23440febc9ace257558d4

zbMATH Keywords

logistic mapinverse matrixCarleman linearizationnonlinear analytical recursion

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Special approximation methods (nonlinear Galerkin, etc.) for infinite-dimensional dissipative dynamical systems (37L65) Dynamical systems involving maps of the interval (37E05)

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Some combinatorial aspects of discrete non-linear population dynamics, Continuous iterations of dynamical maps: An axiomatic approach

Cites Work

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• Normal forms, resonance and bifurcation analysis via the Carleman linearization
• Steady state bifurcations and exact multiplicity conditions via Carleman linearization
• Solving nonlinear recursions