Is the largest Lyapunov exponent preserved in embedded dynamics?

DOI10.1016/S0375-9601(00)00657-5zbMath1119.37305OpenAlexW2133205006MaRDI QIDQ2644089

W. Davis Dechert, Ramazan Gençay

Publication date: 7 September 2007

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0375-9601(00)00657-5

zbMATH Keywords

embeddingreconstructionobservationsTakens' result

Mathematics Subject Classification ID

Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25)

Related Items

Learning Theory for Dynamical Systems

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• A proof of Oseledec's multiplicative ergodic theorem
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Determining Lyapunov exponents from a time series
• Ergodic theory of differentiable dynamical systems
• An algorithm for the \(n\) Lyapunov exponents of an \(n\)-dimensional unknown dynamical system
• Variation of Lyapunov exponents on a strange attractor
• Local Lyapunov exponents computed from observed data
• Distinguishing random and deterministic systems: Abridged version
• The topological invariance of Lyapunov exponents in embedded dynamics
• LYAPUNOV EXPONENTS IN CHAOTIC SYSTEMS: THEIR IMPORTANCE AND THEIR EVALUATION USING OBSERVED DATA
• Estimating the Lyapunov Exponent of a Chaotic System With Nonparametric Regression
• Ergodic theory of chaos and strange attractors