Performance Escapes and Catastrophes

C. Bryan
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Abstract

This chapter presents an overview of newer thinking about how suicide risk fluctuates over time using concepts informed by mathematics, which provides a useful model for understanding why and how suicide emerges in different ways for different people at different times. It focuses in particular on the implications of this perspective for understanding suicides that emerge suddenly or “out of the blue” without much advance notice or warning signs. In the world of dynamical systems, sudden and discontinuous change processes are often referred to as “catastrophic” change because they represent a fundamental shift in how a system operates. Catastrophic change can be so dramatic that it defies reason and cannot be easily anticipated. The chapter then considers the cusp catastrophe model, which stands in contrast to the unidimensional suicide-risk continuum model that has dominated thinking about suicide risk for decades.
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性能转义和灾难
本章概述了关于自杀风险如何随时间波动的新思想,使用数学概念,这为理解自杀为什么以及如何在不同时间以不同方式出现在不同的人提供了一个有用的模型。它特别关注这一观点的含义,以理解突然出现的自杀或“出其不意”,没有太多的事先通知或警告信号。在动力系统的世界里,突然和不连续的变化过程通常被称为“灾难性”变化,因为它们代表了系统运行方式的根本转变。灾难性的变化可能是如此戏剧性,以至于它违背了理性,无法轻易预测。然后,本章考虑了尖点灾难模型,它与几十年来一直主导自杀风险思考的单维自杀风险连续体模型形成对比。
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