Corpus ID: 15996703

Robert Rosen ' s Interpretation of Anticipatory Systems

@inproceedings{Dubois2003RobertR,
  title={Robert Rosen ' s Interpretation of Anticipatory Systems},
  author={Daniel M. Dubois and Daniel M. Dubois},
  year={2003}
}
An anticipatory system is a system which contains a model of itself and/or of its environment in view of computing its present state as a function of the prediction of the model. With the concepts of incursion and hyperincursion, anticipatory discrete systems can be modelled, simulated and controlled. By definition an incursion, an inclusive or implicit recursion, can be written as: x(t+1) = F [..., x(t-1), x(t), x(t+1),...] where the value of a variable x(t+1) at time t+1 is a function of this… Expand

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References

SHOWING 1-10 OF 46 REFERENCES
Introduction of the Aristotle's Final Causation in CAST: Concept and Method of Incursion and Hyperincursion
  • D. Dubois
  • Mathematics, Computer Science
  • EUROCAST
  • 1995
TLDR
The concept and method of incursion and hyperincursion firstly applied to the Fractal Machine, an hyperincursive cellular automata with sequential computations where time plays a central role and the Pearl-Verhulst chaotic map will be considered. Expand
Generation of fractals from incursive automata, digital diffusion and wave equation systems.
  • D. Dubois
  • Computer Science, Medicine
  • Bio Systems
  • 1997
TLDR
Modelling tools for formal systems design in the fields of information and physical systems are described and it is shown that fractals can also be generated from digital diffusion and wave equations, that is to say from the modulo N of their finite difference equations with integer coefficients. Expand
A Semantic Logic for CAST Related to Zuse, Deutsch and McCulloch and Pitts Computing Principles
TLDR
It is shown that the exclusive OR can be modelled by a fractal non-linear equation and a new method to design digital equations is proposed to create McCulloch and Pitts formal neurons. Expand
A logical calculus of the ideas immanent in nervous activity
Because of the “all-or-none” character of nervous activity, neural events and the relations among them can be treated by means of propositional logic. It is found that the behavior of every net canExpand
Fractal and chaotic dynamics in nervous systems
  • C. King
  • Psychology, Medicine
  • Progress in Neurobiology
  • 1991
TLDR
It is found that chaos appears to play an integral, though not necessarily exclusive role in function at all levels of organization from the neurosystems to the molecular and quantum levels. Expand
Quantum Relativity: A Synthesis of the Ideas of Einstein and Heisenberg
Standard Boolean logic is based on ideas taken from classical, first-order set theory. The first-order logic of quantum mechanics introduced by von Neumann is not a classical one. It is thereforeExpand
FRACTALS AND THE QUANTUM THEORY OF SPACETIME
We review in this paper the first results obtained in an attempt at understanding quantum space-time based on a new extension of the principle of relativity and on the geometrical concept ofExpand
Chaos in classical and quantum mechanics
Contents: Introduction.- The Mechanics of Lagrange.- The Mechanics of Hamilton and Jacobi.- Integrable Systems.- The Three-Body Problem: Moon-Earth-Sun.- Three Methods of Section.- Periodic Orbits.-Expand
Zeno's paradox in quantum cellular automata
Abstract The effect of Zeno's paradox in quantum theory is demonstrated with the aid of quantum mechanical cellular automata. It is shown that the degree of non-unitarity of the cellular automatonExpand
Controlling chaos in the brain
In a spontaneously bursting neuronal network in vitro, chaos can be demonstrated by the presence of unstable fixed-point behaviour. Chaos control techniques can increase the periodicity of suchExpand
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