A comparison of classical Runge-Kutta and Henon's methods for capturing chaos and chaotic transients in an aeroelastic system with freeplay nonlinearity

DOI10.1007/s11071-015-1980-xzbMath1431.74042OpenAlexW2009613217MaRDI QIDQ327819

Jianping Yuan, Honghua Dai, Xiaokui Yue, Dan Xie, Satya N. Atluri

Publication date: 19 October 2016

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-015-1980-x

zbMATH Keywords

largest Lyapunov exponentfreeplay nonlinearitychaotic transientHenon's methodrational polynomial approximation

Mathematics Subject Classification ID

Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Simulation of dynamical systems (37M05) Numerical chaos (65P20)

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