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Local Lyapunov exponents for dissipative continuous systems

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Publication:1771750
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DOI10.1016/j.chaos.2004.07.020zbMath1088.37517OpenAlexW1965165144MaRDI QIDQ1771750

Florian Grond, Hans H. Diebner

Publication date: 18 April 2005

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2004.07.020


zbMATH Keywords

Lyapunov exponentsnumerical computationchaotic attractorslocal valuesscatter plotsWolf algorithm


Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Computational methods for ergodic theory (approximation of invariant measures, computation of Lyapunov exponents, entropy, etc.) (37M25)


Related Items (2)

Phase-space growth rates, local Lyapunov spectra, and symmetry breaking for time-reversible dissipative oscillators ⋮ Tool wear detection based on Duffing-Holmes oscillator



Cites Work

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  • Determining Lyapunov exponents from a time series
  • A Numerical Approach to Ergodic Problem of Dissipative Dynamical Systems
  • IDENTIFICATION OF TRUE AND SPURIOUS LYAPUNOV EXPONENTS FROM TIME SERIES
  • Ergodic theory of chaos and strange attractors


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