| NOUN | a dynamical system | dynamical systems |
NOUN article.ind sg | pl
22 Übersetzungen
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Anwendungsbeispiele Englisch
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- At any given time, a dynamical system has a state representing a point in an appropriate state space.
- In the same book, Lorenz defined the butterfly effect as: "The phenomenon that a small alteration in the state of a dynamical system will cause subsequent states to differ greatly from the states that would have followed without the alteration."
- In a dynamical system, bistability means the system has two stable equilibrium states.
- While the "butterfly effect" is often explained as being synonymous with sensitive dependence on initial conditions of the kind described by Lorenz in his 1963 paper (and previously observed by Poincaré), the butterfly metaphor was originally applied to work he published in 1969 Lorenz defined butterfly effect as: "“The phenomenon that a small alteration in the state of a dynamical system will cause subsequent states to differ greatly from the states that would have followed without the alteration.”" This feature is the same as sensitive dependence of solutions on initial conditions (SDIC) in .
- First, the number of degrees of freedom (proportional to the number of chemical species) can be dramatically large; second, the source term due to reactions introduces a disparate number of time scales which makes the whole dynamical system stiff.
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