Attractor

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Related to Absorbing state: Markov, Markov process

Attractor

In non-linear dynamic series, an attractor defines the equilibrium level of the system. See: Point Attractor, Limit Cycle, and Strange Attractor.
References in periodicals archive ?
We also consider the particular case with non-inactivating CaV (i.e., the [Ca.sup.2+] channel can be only in C the transition intensities from the transient states to the absorbing state Y.
Then we have a CTMC with one absorbing state corresponding to the failure state.
An absorbing Markov chain [23] is a special Markov chain containing at least one absorbing state. The associated state transition matrix P has the following canonical form.
Within the mean field formalism, under PI dynamics, when [epsilon] = 0 the final state for the population is the absorbing state with a density of cooperators [rho] = 0 (full defection) when [alpha] < [[alpha].sub.c] [equivalent to] c/[[bar.k][rho](0)], and the absorbing state with [rho] = 1 when [alpha] > [[alpha].sub.c].
In summary, the following related conclusions hold: 1) a state with AU = [??]VW[??] is an absorbing state; 2) a state will not transfer to other states with same VW value except absorbing states; 3) a state with VW = w will not transfer to any state with VW value larger than w + 1, it should transfer to some state with VM = w + 1 first; 4) all transitions pointing at none-timeout states end with a successfully sent packet, while all transitions pointing at timeout states end with a lost packet; 5) state S{w, w-1) (w [greater than or equal to] 2) is not included in (1) and Fig.
Absorbing states could be reached either by collection or bad debt, both of which lead to a decline in the portfolio size.
Furthermore, because [R.sub.k] is an absorbing state, the transition matrix for these states is an Identity matrix and [[mu].sub.ki] = 0.
The evolution stops at absorbing states ,A : {(0, j) | j [member of] No}.
The bookmakers can't split the teams, yet it could be worth risking the Roosters, even though they have a number of players backing up from Wednesday's absorbing State Of Origin.
Despite recent efforts in the Netherlands to lower the proportion of people falling into inactivity and benefit dependency, inactivity seems to have become a more and more absorbing state when one analyses the flows from one labour market status into another (Appendix A).

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