The system evolves chaotic motions through period-doubling bifurcation or intermittence chaos while the system parameters vary.

当系统参数变化时，该系统可经过倍周期分岔进入混沌或产生阵发性混沌。

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Fixing the amplitude and changing the frequency of forced simulation, we find an evolution procedure of the system through period doubling route to chaos.

固定外加激励幅值，通过改变激励频率可以明显看出由单一周期解经由倍周期道路通往混沌的演化过程。

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For fixed damping and fixed excited frequency the motion of the beam under small amplitude of force is periodic, but becomes chaotic through period doubling bifurcation with increase of the force.

对固定的参数激励频率和阻尼，当参数激励幅值较小时梁的运动是周期的，但大幅值激励会使运动通过倍周期分岔变为混沌。

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The study examined employment records for eight cities in Minnesota for a three-year period through two thousand six.

VOA: special.2009.05.27

Being a person is something you can go through for a period of time and cease to be.

作为人的存在是可以经历一段时间然后停止的。

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In the same way that being a child is a phase you can go through for a period of time and then cease to be.

就像是作为儿童存在一样也是一个阶段,会经历一段时间而后停止。

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"We are going through period where the market knows there are some large macro obstacles on the horizon, " said JJ Kinahan, chief derivatives strategist at TD Ameritrade.

CNN: Fear index plummets to a 5?-year low

First, the Pacific is going through a cooler period, called La Nina (with this one being particularly strong), and the Atlantic is going through a warmer period.

FORBES: 2011 Forecast: World Outperforms U.S., Europe Scuttles

The spot month period is specific to each commodity contract, need not correspond to a month-long period, and may extend through the period when delivery obligations are incurred.

FORBES: CFTC Position Limits Rule Divides Agency, Angers Market Participants