000021292 001__ 21292
000021292 005__ 20170522124347.0
000021292 04107 $$aeng
000021292 046__ $$k2017-05-15
000021292 100__ $$aFischer, C.
000021292 24500 $$aLYAPUNOV EXPONENTS – PRACTICAL COMPUTATION

000021292 24630 $$n23.$$pEngineering Mechanics 2017
000021292 260__ $$bBrno University of Technology, Institute of Solid Mechanics, Mechatronics and Biomechanics, Brno
000021292 506__ $$arestricted
000021292 520__ $$2eng$$aThe Lyapunov exponents serve as numerical characteristics of dynamical systems, which measure possible divergence of nearby trajectories of the solution. In this way they express dependence of the dynamical system on initial conditions. However, the value of Lyapunov exponents consists in their ability to characterise deterministic chaos. The limiting process intrinsic in the definition of Lyapunov exponents, unfortunately, seriously complicates their computation. The short paper presents an overview of difficulties in numerical approaches to enumeration of Lyapunov exponents or at least the largest one and shows a promising method based on QR decomposition of the system Jacobian.

000021292 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000021292 653__ $$aLyapunov exponent, Dynamical system, Non-linear system.

000021292 7112_ $$aEngineering Mechanics 2017$$cSvratka, CZ$$d2017-05-15 / 2017-05-18$$gEM2017
000021292 720__ $$aFischer, C.$$iNáprstek, J.
000021292 8560_ $$ffischerc@itam.cas.cz
000021292 8564_ $$s949825$$uhttps://invenio.itam.cas.cz/record/21292/files/0310.pdf$$yOriginal version of the author's contribution in proceedings, page 310, section DYN.
000021292 962__ $$r21225
000021292 980__ $$aPAPER