http://popups.lib.uliege.be/1373-5411/index.php?id=339 Index terms fr 0 http://popups.lib.uliege.be/1373-5411/index.php?id=743 This communication is the continuation of two papers (Garnier-Malet, 1998, 1999) which proposed a new model with several essential distinctive features. First, the observations are consequences of the universal principle of horizons and virtual motions of a system of spaces' horizons, which limits observations and interactions. Then, time is stroboscopic with periodical times of observation or interaction and periodical times of non-observation or non-observable interaction. This theoretical model dispose of basic notions and principles, however it never disposes of the existing laws. It introduces a set of periodical motions of embedded horizons, which would be fundamental for physics, as well for quantum mechanics as for relativistic mechanics. An application to the solar system (Garnier-Malet J.P., 1998) gave us the understanding of the physical reality of this geometry. It allowed us to explain in another way Kepler's three laws and the motion of planetary libration. lt also allowed us to rediscover the condition of the relativity theory in the solar system (the precessional motion of Mercury's orbit). This new model implies one solar cycle (24 840 years), which is going now to end (2017). Above all, it causes a junction between our solar system and the speed of light, which I could calculate in a theorical way. It gives me now the capability to propound a new theorem, which is already verified by two important astronomic observations. Mon, 01 Jul 2024 09:51:21 +0200 Tue, 08 Oct 2024 14:59:37 +0200 http://popups.lib.uliege.be/1373-5411/index.php?id=743 http://popups.lib.uliege.be/1373-5411/index.php?id=987 Living systems, in certain circumstances, try to predict future situations, and by that, begin to adapt in advance. The behaviour of adaptation of the sportsman, or of the predator, that begins before the properly told effort, show us remarkable anticipatory characteristics. It is impossible to understand the anticipatory behaviour, and the autonomous actions, of the individuals without having recourse to a dual control. We must distinguished a direct control, each element of the action is felt, and a dual control, only the aim of the target is consciously present (attended to), the other elements of the action are relegated to the periphery of the attention. The living being deals with its external middle to establish its internal coherence, but it takes this into account only to distinguish itself by the action. The relationship/separation between the living being and its environment leans both on an internal action (to adapt it), and on an external action (to adapt its middle). The importance of the dual action for the living being, holds in the fact that it exists by the means of its self-constituent activity, "connected to" and "distinct of' a no-self. We use a dynamic structure involving catastrophe theory, to model anticipative process. The dynamics of the predation, a good example of anticipating system, can be described by an attraction of the predator with regard to the prey. René Thom showed how to use the cusp catastrophe to model predation. The predation activity can be defined by a potential. This structure takes in account the duality of the living being, the substance which is a material organisation, and the goal, which is a relational abstraction. In this paper, a new interpretation of the catastrophe theory is given in the framework of hyperincursion: a hyperincursive system is an extension of recursive systems in which the state of the system is computed from a function of itself. A Hyperincursive Cusp Function can be modelled by a Heaviside Cusp Function. A Hyperincursive Boolean Table can be built and a hyperincursive algebraic linear function can model a cusp which represents an elementary flip-flop one bit memory. A recursive process defines the successive states from its initial conditions and a hyperincursive process defines the successive states from the path chosen in the control parameters space. The recursive process is related to an internal observer and the hyperincursive process is related to an extemal observer. Wed, 03 Jul 2024 16:00:21 +0200 Tue, 08 Oct 2024 14:41:07 +0200 http://popups.lib.uliege.be/1373-5411/index.php?id=987 http://popups.lib.uliege.be/1373-5411/index.php?id=3572 The robotic inverse kinematic problem can be rightly classified as a very felt theme in the field of robotics. Many studies have been carried out in order to find new methods for the solution of the problem as alternatives to the traditional ones. In particular, every method able to improve the calculation speed is more and more appreciated. In the present paper an innovative method for the numerical inversion of non linear equations sets is shown. The approach is based on some procedures typical of the soft-computing area. In particular, the inverse kinematic problem is solved by a Neural Network optimised by means of a Genetic Algorithm acting inside an Hyperincursive scheme. After the introduction of the methodology developed, the paper shows some results obtained on a SCARA robot; they appear very good in terms of computational speed, even if the solution precision is not high near the boundaries of the working area. Thu, 26 Sep 2024 10:01:39 +0200 Tue, 08 Oct 2024 14:03:45 +0200 http://popups.lib.uliege.be/1373-5411/index.php?id=3572 http://popups.lib.uliege.be/1373-5411/index.php?id=2906 Recently some investigations on model of cellular automata (game 'Life') with anticipation ('LifeA') had been developed with accounting anticipatory properties, which indicate some interesting types of behavior of such cellular automata. One of new aspect is appearance of multiple solutions of cellular automata. The considering of such solutions follows to attempts of remembering and refreshing some concepts considered by D. M. Dubois, and collecting a list of some existing issues for further detailed considerations and implementation of such concepts, especially of hyperincursion. Tue, 03 Sep 2024 15:45:58 +0200 Tue, 03 Sep 2024 15:46:06 +0200 http://popups.lib.uliege.be/1373-5411/index.php?id=2906 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=2299 Recent discovery of ADDL protein (Amyloid β-Derived Diffusible Ligand) allows the trigger mechanism causing Alzheimer's Disease (AD) to be described by principles of complex systems theory. This entails a teleological cosmology with inherent self-organized / anticipatory parameters introducing a life principle (élan vital) providing the action driving self-organization in autopoietic living systems. Interaction between this Noetic Field (élan vital) and brain is defined in terms of a Hamiltonian-Lagrange operator called the Noetic Effect. If mind/body interactions mediating this Noetic Effect drive the system away from equilibrium catastrophes causing protein misfolds may trigger the onset of AD. The discovery of ADDL also promises an AD vaccine. Wed, 31 Jul 2024 12:58:38 +0200 Wed, 31 Jul 2024 12:58:46 +0200 http://popups.lib.uliege.be/1373-5411/index.php?id=2299 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=1241 Characteristics of anticipation are considered in belief formation based on crisp evidence. In this paper, anticipation is understood as an ability of the system affording us some useful guide to seek further pieces of evidence in order to give a solution for a given problem with which we are concerned. Then two kinds of anticipation are examined in the belief formation systems depending on whether evidence is incomplete or contradictory, respectively. This examination assumes the closed-world assumption on belief formation. Further kind of anticipation is pointed out under the open-world assumption. Tue, 09 Jul 2024 15:47:56 +0200 Tue, 09 Jul 2024 15:48:06 +0200 http://popups.lib.uliege.be/1373-5411/index.php?id=1241 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