dynamical systems https://popups.uliege.be/3041-539x/index.php?id=184 Index terms fr 0 Modelling Emergence in an Interactive Music System https://popups.uliege.be/3041-539x/index.php?id=1395 This paper presents work in progress on the generation and cognition of emergent structure in interactive music systems. It is suggested that the affordance and perception of emergence are central to musical experience._ We propose an account of the multi-levelled, dynamically parallel nature of musical activity, and describe a system for interacting directly with this aspect of musical production. Various models of computational emergence are discussed in terms of their descriptions and redescriptions of the musical behaviour of a complex adaptive system. Thu, 11 Jul 2024 16:20:01 +0200 Tue, 08 Oct 2024 14:27:57 +0200 https://popups.uliege.be/3041-539x/index.php?id=1395 Local-Global Interaction on a Phase Space Based on Generative Pointer https://popups.uliege.be/3041-539x/index.php?id=2857 Nonlinear dynamical systems show some different motions such as periodic, chaotic or intermittent ones. On-off intermittency is aperiodic switching motion between laminar phases and burst phases. It is observed in critical points with blowout bifurcation. Occurrence of it is sensitive with respect to parameter shifts in conventional systems. In the present paper, an extended dynamical system with an interaction between a global structure and a local motion is proposed. This interaction means a reciprocal definition between a parameter and state variables. The reciprocal definition is induced from the concept of a generative pointer that suggests an extended subobject classifier. Ubiquitous on-off intermittency is observed for a wide range of parameter values when a generative pointer is applied to a Henon map. This fact implies robustness of on-off intermittency against parameter shifts. Tue, 03 Sep 2024 15:24:24 +0200 Tue, 03 Sep 2024 15:24:31 +0200 https://popups.uliege.be/3041-539x/index.php?id=2857 Comments on Attractor Computation https://popups.uliege.be/3041-539x/index.php?id=182 Dissipative flows model a large variety of physical systems. In this paper the evolution of such systems is interpreted as a process of computation ; the attractor of the dynamics represents the output. A framework for an algorithmic analysis of dissipative flows is presented, enabling the comparison of the performance of discrete and continuous time analog computation models. A simple algorithm for finding the maximum of n numbers is analyzed, and shown to be highly efficient. The notion of tractable (polynomial) computation in the Turing model is conjectured to correspond to computation with tractable (analytically solvable) dynamical systems having polynomial complexity. Wed, 19 Jun 2024 11:05:20 +0200 Wed, 19 Jun 2024 11:05:27 +0200 https://popups.uliege.be/3041-539x/index.php?id=182