http://popups.lib.uliege.be/1373-5411/index.php?id=256 Index terms fr 0 http://popups.lib.uliege.be/1373-5411/index.php?id=4437 This paper deals with a general theory of synchronization of systems coupled by an incursive connection. For systems with a time shift, the slave or driven system anticipates the values of the master or driver system by a future time period giving rise to an anticipatory synchronization. Some extensions show the possibility to enhance the anticipatory synchronization, what we call meta-anticipatory synchronization. An application is shown in the case of an epidemic system represented by a chaotic delayed Pearl-Verhulst map representing the incubation duration of infected susceptibles. A slave model of the infected population is incursively synchronized to the infected population master system, the simulation of which showing that the infected population can be anticipated by a time duration equal to the incubation period. Fri, 11 Oct 2024 09:56:58 +0200 Fri, 11 Oct 2024 09:57:05 +0200 http://popups.lib.uliege.be/1373-5411/index.php?id=4437 http://popups.lib.uliege.be/1373-5411/index.php?id=3260 Present paper address the synchronization classification of discrete agents by the means of z-transform. The developed agent based anticipative model enables us to change the future as well as the past chain of events. Emergent synchronization patterns determined by the application of z-transform provide the base for determination of stability regions in systems of higher complexities. One of the important results provided is that the proposed agent-based system is apparently controllable by considering the frequency response of the system. The proof of the stability for the arbitrary set of proposed anticipatory agents is proposed. Fri, 13 Sep 2024 13:34:46 +0200 Tue, 08 Oct 2024 17:24:00 +0200 http://popups.lib.uliege.be/1373-5411/index.php?id=3260 http://popups.lib.uliege.be/1373-5411/index.php?id=1171 This paper presents a synchronization-based, multi-process computational model of anticipatory systems called the Phase Web. It describes a self-organizing paradigm that explicitly recognizes and exploits the existence of a boundary between inside and outside, accepts and exploits intentionality, and uses explicit self-reference to describe eg. auto-poiesis. The model explicitly connects computation to a discrete Clifford algebraic formalization that is in turn extended into homology and co-homology, wherein the recursive nature of objects and boundaries becomes apparent and itself subject to hierarchical recursion. Topsy, a computer program embodying the Phase Web, is currently being readied for release. Fri, 05 Jul 2024 15:26:41 +0200 Tue, 08 Oct 2024 17:18:25 +0200 http://popups.lib.uliege.be/1373-5411/index.php?id=1171 http://popups.lib.uliege.be/1373-5411/index.php?id=3455 The computational operation called synchronization, vital for realizing multi-process systems, is described in terms of a Clifford algebra over {-1,0,1}. This provides a two way bridge between the worlds of computation and quantum mechanics, and casts new light on such matters as quantum non-determinism, mechanism and causality, the explicit structure of particles (including dark matter), and the like. We dub this the synchronizational model of quantum mechanics. Oppositely, we show how to represent any computation - sequential or concurrent - in these algebraic terms, thus providing a novel and powerful physically-oriented mathematics for computer science and allied disciplines. Thu, 19 Sep 2024 14:48:27 +0200 Tue, 08 Oct 2024 15:02:18 +0200 http://popups.lib.uliege.be/1373-5411/index.php?id=3455 http://popups.lib.uliege.be/1373-5411/index.php?id=253 The paper deals with examining of synchronized chaotic signals in canonical state models of piecewise-linear (PWL) systems [1]. The Pecora-Carroll drive-response concept and the inverse approach are considered [2]. The theory of the Pecora-Carroll drive-response concept is expanded in the way that the third-order canonical state models make up synchronizing subsystems and the second-order canonical state models make up synchronized subsystems. Wed, 19 Jun 2024 15:05:55 +0200 Wed, 19 Jun 2024 15:06:03 +0200 http://popups.lib.uliege.be/1373-5411/index.php?id=253