Computation of Lyapunov characteristic exponents for continuous dynamical systems

DOI10.1007/s00033-002-8146-7zbMath1040.34058OpenAlexW1559523057MaRDI QIDQ1596385

Hubertus F. von Bremen, Firdaus E. Udwadia

Publication date: 21 May 2002

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-002-8146-7

zbMATH Keywords

Cayley transformationcomputation of all Lyapunov exponentscontinuous \(n\)-dimensional dynamical systemspreservation of orthogonality

Mathematics Subject Classification ID

Characteristic and Lyapunov exponents of ordinary differential equations (34D08) Complex behavior and chaotic systems of ordinary differential equations (34C28) Computational methods for ergodic theory (approximation of invariant measures, computation of Lyapunov exponents, entropy, etc.) (37M25) Numerical problems in dynamical systems (65P99)

Related Items (8)

On the bifurcation analysis of a food web of four species ⋮ Chaotic attitude analysis of a satellite via Lyapunov exponents and its robust nonlinear control subject to disturbances and uncertainties ⋮ A nilpotent algebra approach to Lagrangian mechanics and constrained motion ⋮ Implementation of approach to compute the Lyapunov characteristic exponents for continuous dynamical systems to higher dimensions ⋮ Computation of the Lyapunov exponents in the compass-gait model under OGY control via a hybrid Poincaré map ⋮ THE COMPUTATION OF LYAPUNOV EXPONENTS FOR PERIODIC TRAJECTORIES ⋮ An alternative approach for MLE calculation in nonlinear continuous dynamic systems ⋮ Tool wear detection based on Duffing-Holmes oscillator

This page was built for publication: Computation of Lyapunov characteristic exponents for continuous dynamical systems