http://popups.lib.uliege.be/1373-5411/index.php?id=338 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=845 This paper deals with a singular comportment of an incursive algorithm. This algorithm has been primary developed to optimise a production process. It is closed to classical genetic algorithms because it uses these major stages determination of n random solutions, evaluation of the solutions (in our case with the simulation of production process), selection of the best solution and reproduction according to the biologic rules of crossing over. Nevertheless the differences between this algorithm and a classical genetic algorithm are : the use of incursion in the selection's stage and the singularity of the reproduction stage. The algorithm enables indeed to optimise the system configuration by optimising the laws of reproduction. The "crossing over" becomes a specific case among huge other configurations. Despite we expect that the algorithm will be able to adapt his reproduction laws to the specificity of the system studied, the comportment of the optimisation, due to the use of incursion is unexpected and unfortunately unable to solve our production matter. Nevertheless this comportment is very interesting to study the consequences of the use of incursion with a genetic algorithm. Mon, 01 Jul 2024 14:01:30 +0200 Tue, 08 Oct 2024 17:16:15 +0200 http://popups.lib.uliege.be/1373-5411/index.php?id=845 http://popups.lib.uliege.be/1373-5411/index.php?id=3740 The authors propose a quantum-informational holographic model of brain consciousness-universe interactions based on the holonomic neural networks of Karl Pribram, the holographic quantum theory of David Bohm, and the non-locality property of the quantum field described by Hiroomi Umezawa. We consider this model an extension of the interactive dualism of Sir John Eccles. His ideas of an interconnection between brain and spirit by means of quantum microsites (dendrons and psychons), has deeply influenced the development of our conception of consciousness. We propose a dynamic concept of consciousness, a holoinformational flux interconnecting holonomic informational quantum brain dynamics, with the quantum informational holographic nature of the universe. Thu, 26 Sep 2024 11:52:52 +0200 Tue, 08 Oct 2024 14:31:49 +0200 http://popups.lib.uliege.be/1373-5411/index.php?id=3740 http://popups.lib.uliege.be/1373-5411/index.php?id=2428 This paper deals with a comparison from the precision and stability point of view of different discrete algorithms for simulating differential equation systems, applied in the case of a simple differential system: the harmonic oscillator. It points out the relation between the classical and incursive algorithms and shows the effect of incursion on the precision and stability. Tue, 20 Aug 2024 11:46:18 +0200 Tue, 08 Oct 2024 13:34:57 +0200 http://popups.lib.uliege.be/1373-5411/index.php?id=2428 http://popups.lib.uliege.be/1373-5411/index.php?id=3703 We simulate the emergence of 2-branes from the spacetime backcloth utilizing the Discrete lncursive Oscillator (DIO) Thu, 26 Sep 2024 10:48:43 +0200 Tue, 08 Oct 2024 13:20:07 +0200 http://popups.lib.uliege.be/1373-5411/index.php?id=3703 http://popups.lib.uliege.be/1373-5411/index.php?id=2597 This paper deals with anticipatory systems and their use when describing the population dynamics of single species discrete systems. In doing so, it starts from Rosen's original definition of anticipatory system and its extending in the papers of Dubois. Then the concepts of incursion and hyperincursion are briefly explained and their applications to modeling discrete dynamic systems are outlined. A detailed analysis is given of the population model described by the first order difference equation, where the relative population size at future time is a cubic polynomial function of the population size at the present. Consequently, the corresponding in cursive and hyperincursive models are formulated and the stability of their equilibrium solutions (trajectories) is studied. Thu, 29 Aug 2024 14:55:46 +0200 Thu, 29 Aug 2024 14:55:54 +0200 http://popups.lib.uliege.be/1373-5411/index.php?id=2597 http://popups.lib.uliege.be/1373-5411/index.php?id=1503 During software evolution, the next state to be reached by the system, can be an unknown situation that could have unwillingness effects over the evolutionary process. Additionally, the modifications suffered by a Software System may affect the structure or the way of use of that structure. In order to avoid undesired effects, changes must be known by the system. The knowledge of the future states moves us to consider these systems as Incursive Discrete Strong Anticipatory Systems. As well, the evolution has hyperincursive characters because there exists several possibilities of modification, before selecting the next state… As a consequence we have a non directed evolutionary process in order to obtain a correct and adequate evolutionary sequence for the system. This process is also not hazardous, but under the modeller free will. Fri, 12 Jul 2024 16:22:47 +0200 Fri, 12 Jul 2024 16:22:54 +0200 http://popups.lib.uliege.be/1373-5411/index.php?id=1503 http://popups.lib.uliege.be/1373-5411/index.php?id=357 This paper deals with an introduction to computing anticipatory systems starting with Robert Rosen's definition of anticipatory systems. Firstly, the internalist and externalist aspects of anticipation will be explained at an intuitive point of view. Secondly, the concepts of incursion and hyperincursion are proposed to model anticipatory systems. Thirdly, a simple example of a computing anticipatory system will be simulated on computer from an incursive harmonic oscillator. This oscillator includes an anticipatory model of itself in view of computing its successives tates. Wed, 26 Jun 2024 11:38:14 +0200 Fri, 28 Jun 2024 16:57:17 +0200 http://popups.lib.uliege.be/1373-5411/index.php?id=357 http://popups.lib.uliege.be/1373-5411/index.php?id=336 In Pearl-Verhulst's finite difference equation, R. May showed that fractal chaos appears for large values of the command parameter. In this paper, it is shown that, surprisingly, chaos emerges for small values of the command parameter when Laplacian spatial diffusion is taken into account. For small diffusion the space pattern is uniform and stable and for large diffusion, discrete space-time structures emerge and then a chaotic patchiness. A mathematical demonstration by incursion shows that the emergence of such structures is due to the space diffusion parameter which gives rise to a bifurcation cascade and chaos. This is a new type of emergence of space-time structures what I suggest to call "diffusive chaos" different from the Turing "morphogenesis by diffusive instability". A gradient spatial transport by advection can also give rise to bifurcations and chaos, what I call "advective chaos" depending of the velocity intensity. A simulation with negative diffusion shows stable fractal periodic patterns. In Lotka-Volterra's discrete model, numerical instabilities occur. D. Dubois had found a new method for stabilising such instabilities by the concept and method of incursion, an inclusive recursion, where the equations are sequentially computed. With space diffusion such incursive equations show the emergence of a chaotic space-time patchiness which is followed by continuous space patchiness represented by travelling waves. Diffusive chaos could explain space-time structures called patchiness in marine plankton. Fri, 21 Jun 2024 15:14:13 +0200 Fri, 21 Jun 2024 15:14:23 +0200 http://popups.lib.uliege.be/1373-5411/index.php?id=336