Search results
Results from the WOW.Com Content Network
The Lyapunov time mirrors the limits of the predictability of the system. By convention, it is defined as the time for the distance between nearby trajectories of the system to increase by a factor of e. However, measures in terms of 2-foldings and 10-foldings are sometimes found, since they correspond to the loss of one bit of information or ...
In 2019 Bill Foote, an American software engineer and ex-Lead of the Sun Microsystems' standardization of interactive technologies for Blu-ray and other TV platforms, [8] created the JRPN (JOVIAL Reverse Polish Notation Calculators), an open-source HP-16C simulator, forked from WRPN 6.0.2 in Java, but with all of the text set to be rendered from vector fonts (instead of the bitmap font used in ...
In 1930 O. Perron constructed an example of a second-order system, where the first approximation has negative Lyapunov exponents along a zero solution of the original system but, at the same time, this zero solution of the original nonlinear system is Lyapunov unstable. Furthermore, in a certain neighborhood of this zero solution almost all ...
The planets' orbits are chaotic over longer time scales, in such a way that the whole Solar System possesses a Lyapunov time in the range of 2~230 million years. [3] In all cases, this means that the positions of individual planets along their orbits ultimately become impossible to predict with any certainty.
Lyapunov functions are used extensively in control theory to ensure different forms of system stability. The state of a system at a particular time is often described by a multi-dimensional vector. A Lyapunov function is a nonnegative scalar measure of this multi-dimensional state.
Lyapunov fractal, bifurcational fractals derived from an extension of the logistic map in which the degree of the growth of the population periodically switches between two values; Lyapunov time, characteristic timescale on which a dynamical system is chaotic; Probability theory, the branch of mathematics concerned with probability
Use the steps below to find all your favorite AOL apps in the Microsoft store. To find your favorite AOL apps, first open the Start menu and click the Windows Store icon. Enter AOL in the Search field. View or select the available AOL apps. Click Install from the App page. Once the app is installed,click Open to view that app on your desktop.
In particular, the discrete-time Lyapunov equation (also known as Stein equation) for is A X A H − X + Q = 0 {\displaystyle AXA^{H}-X+Q=0} where Q {\displaystyle Q} is a Hermitian matrix and A H {\displaystyle A^{H}} is the conjugate transpose of A {\displaystyle A} , while the continuous-time Lyapunov equation is