An attractor can be a steady state (a fixed point that the network never leaves), or a limit cycle (a set of states through which the system cycles, deterministically for synchronous update schemes or probabilistically for stochastic asynchronous update schemes).
For example, if one fixes b at 0.01 and increases gK1 (grey dashed vertical line 2, Figure 2, left) then a limit cycle born through the supercritical AH bifurcation at gK1 = 27.7 nS bifurcates to a torus when gK1 crosses the torus birth bifurcation curve (blue line, Figure 2, left) at gK1 ≈ 29.2 nS.
The authors reported that net photosynthesis was 70%% greater in plants grown under high, compared with low, light but it was found that this did not translate into greater root growth under P limitation, leading them to suggest that assimilate supply from source leaves was not a limiting factor under P limitation.
In the SNIC bifurcation, a single real eigenvalue changes sign; geometrically, a stable node and a saddle point meet, annihilate each other, and leave in their wake a limit cycle.
It left intact the rule that a limit on contributions to candidates does not violate the First Amendment.
Both Kim and Julia realized that the best way to disguise a limit and leave guests feeling pampered was to present a long sequence of treats.
Blake, who had two goals in the Islanders' past four games, leaves a team that has been limited to fewer than two goals in seven of its past eight games.
Senator Dianne Feinstein, Democrat of California, came down somewhere in the middle, saying that while she had a "problem" with leaving no limit on asylum claims, she thought a longer bar — perhaps a five-year window — was more reasonable.
Peter Muller, a friend of Mr. Rao's who has played against the same bot, said the approximations in the game-theory model left a weakness and limited the bot's chances to do more than break even.
But as President Clinton sprints to move the peace process to a formal accord before he leaves office, one need look no farther than Westchester to see longstanding attempts to improve relations between Arab and Jew, though the centuries of strife half a world away have left a legacy of limits here too.
