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'''Dual phase evolution''' ('''DPE''') is a process that drives [[self-organization]] within [[complex adaptive system]]s.<ref name="DPE2">

'''Dual phase evolution''' ('''DPE''') is a process that drives [[self-organization]] within [[complex adaptive system]]s.<ref name="DPE2">

Dual phase evolution (DPE) is a process that drives self-organization within complex adaptive systems. It arises in response to phase changes within the network of connections formed by a system's components. DPE occurs in a wide range of physical, biological and social systems. Its applications to technology include methods for manufacturing novel materials and algorithms to solve complex problems in computation.

Dual phase evolution (DPE) is a process that drives self-organization within complex adaptive systems. It arises in response to phase changes within the network of connections formed by a system's components. DPE occurs in a wide range of physical, biological and social systems. Its applications to technology include methods for manufacturing novel materials and algorithms to solve complex problems in computation.

<font color="#ff8000">Dual phase evolution 双相演化</font>（DPE）是一个在复杂自适应系统中驱动自组织的过程。它的产生是对系统组成部分所形成的连接网络中的相位变化的响应。DPE发生在广泛的物理、生物和社会系统中。它在技术上的应用包括制造新材料的方法和解决复杂计算问题的算法。

<font color="#ff8000" data-darkreader-inline-color="" style="--darkreader-inline-color:#d2ad7d;">Dual phase evolution 双相演化</font>（DPE）是一个在复杂自适应系统中驱动自组织的过程。它的产生是对系统组成部分所形成的连接网络中的相位变化的响应。DPE发生在广泛的物理、生物和社会系统中。它在技术上的应用包括制造新材料的方法和解决复杂计算问题的算法。

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}}</ref> It arises in response to phase changes within the network of connections formed by a system's components. DPE occurs in a wide range of physical, biological and social systems. Its applications to technology include methods for manufacturing novel materials and algorithms to solve complex problems in computation.

}}</ref> It arises in response to phase changes within the network of connections formed by a system's components. DPE occurs in a wide range of physical, biological and social systems. Its applications to technology include methods for manufacturing novel materials and algorithms to solve complex problems in computation.

它的产生是对系统组成部分所形成的连接网络中的相位变化的响应。DPE发生在广泛的物理、生物和社会系统中。它在技术上的应用包括制造新材料的方法和解决复杂计算问题的算法。

双相演化（DPE）是复杂适应系统中驱动自组织的过程。<ref name="DPE2" />它的产生是对系统组成部分所形成的连接网络中的相位变化的响应。DPE发生在广泛的物理、生物和社会系统中。它在技术上的应用包括制造新材料的方法和解决复杂计算问题的算法。

Dual phase evolution (DPE) is a process that promotes the emergence of large-scale order in [[complex systems]]. It occurs when a system repeatedly switches between various kinds of phases, and in each phase different processes act on the components or connections in the system. DPE arises because of a property of [[Graph theory|graphs]] and [[Network theory|networks]]: the connectivity avalanche that occurs in graphs as the number of edges increases.<ref name=Erdos1960 />

Dual phase evolution (DPE) is a process that promotes the emergence of large-scale order in [[complex systems]]. It occurs when a system repeatedly switches between various kinds of phases, and in each phase different processes act on the components or connections in the system. DPE arises because of a property of [[Graph theory|graphs]] and [[Network theory|networks]]: the connectivity avalanche that occurs in graphs as the number of edges increases.<ref name=Erdos1960 />

双相演化（DPE）是一个促进复杂系统中大规模有序出现的过程。当一个系统在不同的阶段之间反复切换，并且在每个阶段中，不同的过程作用于系统中的组件或连接时，就会发生这种情况。DPE的产生是由于[[图论|图]]和[[网络论|网络]]的一个性质：当边的数目增加时，图中的连接性雪崩将会发生

双相演化（DPE）是一个促进复杂系统中大规模有序涌现的过程。当一个系统在不同的阶段之间反复切换，并且在每个阶段中，不同的过程作用于系统中的组件或连接时，就会发生这种情况。DPE的产生是由于[[图论|图]]和[[网络论|网络]]的一个性质：当边的数目增加时，图中的连接性雪崩将会发生。

Social networks provide a familiar example. In a [[social network]] the nodes of the network are people and the network connections (edges) are relationships or interactions between people. For any individual, social activity alternates between a ''local phase'', in which they interact only with people they already know, and a ''global phase'' in which they can interact with a wide pool of people not previously known to them. Historically, these phases have been forced on people by constraints of time and space. People spend most of their time in a local phase and interact only with those immediately around them (family, neighbors, colleagues). However, intermittent activities such as parties, holidays, and conferences involve a shift into a global phase where they can interact with different people they do not know. Different processes dominate each phase. Essentially, people make new social links when in the global phase, and refine or break them (by ceasing contact) while in the local phase.

Social networks provide a familiar example. In a [[social network]] the nodes of the network are people and the network connections (edges) are relationships or interactions between people. For any individual, social activity alternates between a ''local phase'', in which they interact only with people they already know, and a ''global phase'' in which they can interact with a wide pool of people not previously known to them. Historically, these phases have been forced on people by constraints of time and space. People spend most of their time in a local phase and interact only with those immediately around them (family, neighbors, colleagues). However, intermittent activities such as parties, holidays, and conferences involve a shift into a global phase where they can interact with different people they do not know. Different processes dominate each phase. Essentially, people make new social links when in the global phase, and refine or break them (by ceasing contact) while in the local phase.

社交网络提供了一个熟悉的例子。在[[社交网络]]中，网络的节点是人，网络连接（边缘）是人与人之间的关系或互动。对于任何个人来说，社会活动都是在“局部阶段”和“全局阶段”之间交替进行的，前者只与他们已经认识的人进行互动，后者可以与他们以前不认识的大量人进行互动。历史上，这些阶段是由于时间和空间的限制而强加给人们的。人们把大部分时间花在当地阶段，只与周围的人（家人、邻居、同事）交流。然而，诸如聚会、假日和会议之类的间歇式活动涉及到一个全球阶段的转变，在这个阶段，他们可以与不认识的不同的人进行互动。不同的过程控制着每个阶段。从本质上讲，人们在全球阶段建立新的社会联系，在本地阶段则通过停止联系来改善或打破这种联系。

社交网络提供了一个熟悉的例子。在[[社交网络]]中，网络的节点是人，网络连接（边缘）是人与人之间的关系或互动。对于任何个人来说，社会活动都是在“局部阶段”和“全局阶段”之间交替进行的，在前者中个体只与他们已经认识的人进行互动，在后者中可以与他们以前不认识的大量人进行互动。历史上，这些阶段是由于时间和空间的限制而强加给人们的。人们把大部分时间花在局部阶段，只与周围的人（家人、邻居、同事）交流。然而，诸如聚会、假日和会议之类的间歇式活动涉及到一个全局阶段的转变，在这个阶段，他们可以与不认识的不同的人进行互动。不同的过程控制着每个阶段。从本质上讲，人们在全局阶段建立新的社会联系，在局部阶段则通过停止联系来改善或打破这种联系。

DPE models of socio-economics interpret the economy as networks of economic agents. Several studies have examined the way socioeconomics evolve when DPE acts on different parts of the network. One model interpreted society as a network of occupations with inhabitants matched to those occupations. In this model social dynamics become a process of DPE within the network, with regular transitions between a development phase, during which the network settles into an equilibrium state, and a mutating phase, during which the network is transformed in random ways by the creation of new occupations.

DPE models of socio-economics interpret the economy as networks of economic agents. Several studies have examined the way socioeconomics evolve when DPE acts on different parts of the network. One model interpreted society as a network of occupations with inhabitants matched to those occupations. In this model social dynamics become a process of DPE within the network, with regular transitions between a development phase, during which the network settles into an equilibrium state, and a mutating phase, during which the network is transformed in random ways by the creation of new occupations.