Reconstruction of the Lorenz and Chen systems with noisy observations

DOI10.1016/S0898-1221(03)90230-6zbMath1046.37016OpenAlexW1975480472MaRDI QIDQ597278

Jin Xie, Jinhu Lü, Jun-an Lu, Guan-Rong Chen

Publication date: 6 August 2004

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0898-1221(03)90230-6

zbMATH Keywords

Numerical simulationsLorenz systemChaosChen systemNoisy observationsReconstruction

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Complex behavior and chaotic systems of ordinary differential equations (34C28)

Related Items (5)

Noise-tolerant algebraic method for reconstruction of nonlinear dynamical systems ⋮ Numerical study of the coefficient identification algorithm based on ensembles of adjoint problem solutions for a production-destruction model ⋮ Analytic reconstruction of some dynamical systems ⋮ Modeling nonlinear dynamics and chaos: a review ⋮ Reconstructing the nonlinear dynamical systems by evolutionary computation techniques

Cites Work

• Statistical analysis of Lyapunov exponents from time series: a Jacobian approach.
• The compound structure of a new chaotic attractor.
• The Lorenz equations: bifurcations, chaos, and strange attractors
• YET ANOTHER CHAOTIC ATTRACTOR
• THE COMPOUND STRUCTURE OF CHEN'S ATTRACTOR
• A NEW CHAOTIC ATTRACTOR COINED
• DYNAMICAL ANALYSIS OF A NEW CHAOTIC ATTRACTOR
• CONTROL OF NONLINEAR DYNAMICS: WHERE DO MODELS FIT IN?
• BIFURCATION ANALYSIS OF CHEN'S EQUATION
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