bifurcation

简明释义

英[ˌbaɪfəˈkeɪʃn]美[ˌbaɪfərˈkeɪʃn]

n. 分歧（点），分叉；分枝后的一枝

英英释义

单词用法

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反义词

例句

1.The necessary condition of presenting bifurcation and chaos phenomena in dynamic systems is that the systems are nonlinear ones.

动力学系统中分岔与混沌现象产生的必要条件之一，就是该系统必须是非线性的。

2.I have cut my hair, cut the care, cut a not loved bifurcation.

我已剪断我的发，剪断了牵挂，剪一地不被爱的分叉。

3.The study provides indispensable evidence for the design and construction of the bifurcation tunnel.

研究结果为分岔隧道的设计、施工提供了必要的依据。

4.The possible methods to unite voltage stability and Angle stability analysis are energy function method and bifurcation analysis method.

分岔分析方法和能量函数方法是统一研究电压稳定和功角稳定的可能方法。

5.Equivalent normal forms of the cavitated bifurcation equation at the bifurcation point were presented by using singularity theory.

利用奇点理论给出了空穴分岔方程在分岔点的等价正规形。

6.Bifurcation, symmetry and patterns.

分歧、对称与模式。

7.During the meeting, we discussed the bifurcation of our project into two distinct phases.

在会议期间，我们讨论了将我们的项目分为两个不同阶段的分叉。

8.The river's flow changed direction at the point of bifurcation, creating two separate channels.

在分叉的地方，河流的流向发生了改变，形成了两条独立的水道。

9.The bifurcation of the highway created confusion among drivers unfamiliar with the area.

高速公路的分叉让不熟悉该地区的司机感到困惑。

10.In mathematics, a bifurcation occurs when a small change in the parameter values causes a sudden qualitative change in its behavior.

在数学中，当参数值的小变化导致其行为的突然定性变化时，就会发生分叉。

11.The bifurcation of the tree branches made it difficult to navigate through the dense forest.

树枝的分叉使得在茂密的森林中导航变得困难。

作文

In the study of systems, whether they be natural, social, or technological, the concept of bifurcation plays a crucial role. bifurcation (分岔) refers to the point at which a system splits into two distinct paths or outcomes. This phenomenon is not only fascinating but also vital for understanding how complex systems evolve over time. For instance, in mathematics, bifurcation theory examines how small changes in parameters can lead to sudden shifts in behavior, resulting in different equilibrium states. This principle can also be observed in various fields such as biology, economics, and even climate science.One of the most compelling examples of bifurcation can be found in the realm of ecology. When an ecosystem faces significant environmental changes, such as climate change or habitat destruction, it may reach a bifurcation point. At this juncture, the ecosystem may either adapt and thrive in a new state or collapse entirely, leading to a loss of biodiversity. Understanding these bifurcation points can help conservationists devise strategies to protect vulnerable species and habitats.In economics, bifurcation can illustrate how markets react to changes in policy or consumer behavior. For example, consider a market that is stable under certain conditions. If a new regulation is introduced, the market may experience a bifurcation, leading to either a boom or a bust. Recognizing these critical points allows economists to predict potential outcomes and mitigate negative effects on the economy.The implications of bifurcation extend to technology as well. In the field of computer science, algorithms often encounter bifurcation points where the choice of a particular path can lead to drastically different results. For instance, in machine learning, the decision-making process of an algorithm can change based on the data it receives, leading to a bifurcation in its predictions. Understanding these pathways is essential for improving the accuracy and reliability of AI systems.Moreover, the concept of bifurcation is not limited to scientific disciplines; it also finds its way into our daily lives. Consider a major life decision, such as choosing a career path. At some point, an individual may face a bifurcation where one choice leads to a fulfilling career while another could result in dissatisfaction. Recognizing these moments of bifurcation can empower individuals to make informed decisions that align with their long-term goals.In conclusion, the idea of bifurcation is a powerful tool for understanding the dynamics of various systems. Whether in nature, economics, technology, or personal life, recognizing bifurcation points can provide valuable insights into the potential outcomes of different choices. As we continue to navigate an increasingly complex world, embracing the concept of bifurcation will enable us to make better decisions and foster resilience in the face of change.

在系统研究中，无论是自然的、社会的还是技术的，分岔的概念都扮演着至关重要的角色。分岔（bifurcation）指的是一个系统分裂为两条不同路径或结果的点。这一现象不仅引人入胜，而且对于理解复杂系统如何随时间演变至关重要。例如，在数学中，分岔理论研究参数的微小变化如何导致行为的突然转变，从而产生不同的平衡状态。这一原理也可以在生物学、经济学甚至气候科学等多个领域观察到。在生态学领域，分岔的一个引人注目的例子可以找到。当一个生态系统面临重大环境变化，如气候变化或栖息地破坏时，它可能会达到一个分岔点。在这一关键时刻，生态系统可能会适应并在新的状态中繁荣，或者完全崩溃，导致生物多样性的丧失。理解这些分岔点可以帮助保护主义者制定策略，以保护脆弱的物种和栖息地。在经济学中，分岔可以说明市场如何对政策或消费者行为的变化做出反应。例如，考虑一个在某些条件下稳定的市场。如果引入了一项新法规，市场可能会经历一次分岔，导致繁荣或萧条。认识到这些关键点使经济学家能够预测潜在结果，并减轻对经济的负面影响。分岔的影响延伸到技术领域。在计算机科学中，算法经常遇到分岔点，在这些点上，特定路径的选择可能导致截然不同的结果。例如，在机器学习中，算法的决策过程可以根据接收的数据而变化，从而导致分岔其预测。理解这些路径对于提高人工智能系统的准确性和可靠性至关重要。此外，分岔的概念并不仅限于科学学科；它也渗透到我们的日常生活中。考虑一个重大的生活决策，例如选择职业道路。在某个时刻，个人可能会面临一个分岔，其中一个选择导致充实的职业，而另一个可能导致不满。识别这些分岔时刻可以赋予个人做出符合长期目标的明智决策的能力。总之，分岔的概念是理解各种系统动态的强大工具。无论是在自然、经济、技术还是个人生活中，识别分岔点可以提供对不同选择潜在结果的宝贵见解。随着我们继续在一个日益复杂的世界中航行，拥抱分岔的概念将使我们能够做出更好的决策，并在面对变化时增强韧性。