Determinism and unpredictability are compatible since deterministic flows can produce, if sensitive to initial conditions, unpredictable behaviors. Within this perspective, the notion of scenario to chaos transition offers a new form of predictability for the behavior of sensitive to initial condition systems under the variation of a control parameter. In this paper I first shed light on the genesis of this notion, based on a dynamical systems approach and on considerations of structural stability. I then suggest a link to the (...) figure of epigenetic landscape, partially inspired by a dynamical systems perspective, and offering a theoretical framework to apprehend developmental noise. (shrink)

Digital practices in design, together with computer-assisted manufacturing (CAM), have inspired the reflection of philosophers, theorists, and historians over the last decades. Gilles Deleuze’s The Fold: Leibniz and the Baroque (1988) presents one of the first and most successful concepts created to think about these new design and manufacturing practices.1 Deleuze proposed a new concept of the technological object, which was inspired by Bernard Cache’s digital design practices and computer-assisted manufacturing. Deleuze compared Cache’s practices to Leibniz’s differential calculus-based notion of (...) the parametric curve. From this perspective, the object is no longer an essential form: rather, it is functional, defined by a family of parametric curves. In Deleuze’s terms, it is an objectile. This definition grasps a particular aspect of modernity in the technological object, rendering possible the industrial production of “the unique object” (la pièce unique), while making obsolete the homogeneity that comes with industrial standardization. What follows introduces developmental biology into this design matrix, interrogating the relationship between parametric design and computer-assisted manufactory on the one hand and biological morphogenetic processes on the other. Is one necessary for the other? Does an architect need computation in order to render morphogenetic shapes? In answering these questions, this chapter displaces the centrality of digital technology in the design of shape-shifting forms within architecture and calls for a rethinking of design by way of analog prototypes. I argue that “thinking through analogs” offers another means of generating parametrically based morphogenetic forms. (shrink)

Cette étude montre comment le météorologue Edward Lorenz, dans deux articles de 1963 et 1964, explore les propriétés des systèmes chaotiques par des allers-retours entre une déduction mathématique (basée sur la théorie des systèmes dynamiques) et une étude des solutions numériques du système dit « de Lorenz » dans un régime d’instabilité. This study aims at showing how the metereologist Edward Lorenz, in two papers of 1963 and 1964, explores the properties of chaotic systems thanks to the interplay between a (...) mathematical deduction (based on dynamical systems theory) and a study of the mathematical solutions of the Lorenz system in an instability regime. (shrink)

Arguments of stability, intended in a wide sense, including the discussion of the conditions of the onset of instability and of stability changes, play a central role in the main theorizations of morphogenesis in 20th century theoretical biology. The aim of this essay is to shed light on concepts and images mobilized in the construction of arguments of stability in theorizing morphogenesis, since they are pivotal in establishing meaningful relationships between mathematical models and empirical morphologies.