Deterministic chaos and the first positive Lyapunov exponent: A nonlinear analysis of the human electroencephalogram during sleep

DOI10.1007/BF00226197zbMath0775.92019OpenAlexW2026652836WikidataQ48878218 ScholiaQ48878218MaRDI QIDQ2367241

Peter E. Beckmann, Jürgen Fell, J. Röschke

Publication date: 18 August 1993

Published in: Biological Cybernetics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00226197

Mathematics Subject Classification ID

Neural biology (92C20)

Related Items (11)

Noninvertibility, Chaotic Coding, and Chaotic Multiplexity of Synaptically Modulated Neural Firing ⋮ Simulation of electrocortical waves ⋮ A new approach to measure the fractal dimension of a trajectory in the high-dimensional phase space ⋮ Experimental nonlinear physics ⋮ Resonance-like phenomena in Lyapunov calculations from data reconstructed by the time-delay method ⋮ Pathological tremors: Deterministic chaos or nonlinear stochastic oscillators? ⋮ Circuit Polarity Effect of Cortical Connectivity, Activity, and Memory ⋮ CAN WE MEASURE CONSCIOUSNESS WITH EEG COMPLEXITIES? ⋮ Coexistence of chaotic, quasiperiodic and multiperiodic features in quantum plasma ⋮ Surrogate data analysis of sleep electroencephalograms reveals evidence for nonlinearity ⋮ Experimental Nonlinear Physics

Cites Work

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• Determining Lyapunov exponents from a time series
• Finite correlation dimension for stochastic systems with power-law spectra
• CHARACTERISTIC LYAPUNOV EXPONENTS AND SMOOTH ERGODIC THEORY
• IDENTIFICATION OF TRUE AND SPURIOUS LYAPUNOV EXPONENTS FROM TIME SERIES
• NONLINEAR TIME SEQUENCE ANALYSIS

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