scholarly journals IN DEFENSE OF THE SELF-REFERENCING QUANTIFIER Sx. APPROXIMATION OF SELF-REFERENTIAL SENTENCES BY DYNAMIC SYSTEMS

2021 ◽  
pp. 145-150
Author(s):  
Vladimir Stepanov
Keyword(s):  
Dynamical Systems ◽  
Dynamic Systems ◽  
Classical Logic ◽  
The Self ◽  
Truth Values ◽  
Truth Tables

Arguments in defense of introducing the self-referencing quantifier Sx and its approximation on dynamical systems are consistently presented. The case of classical logic is described in detail. Generated 3-truth tables that match Priest’s tables (Priest 1979). In the process of constructing 4-truth tables, two more truth values were revealed that did not coincide with the original ones. Therefore, the closed tables turned out to be 6-digit.

PARTICLE FILTER OPTIMIZATION TOOLS FOR DYNAMICAL SYSTEMS PROBABILISTIC MODELS

2021 ◽  
pp. 4-10
Author(s):  
П.В. Полухин
Keyword(s):  
Dynamical Systems ◽  
Distributed Computing ◽  
Particle Filter ◽  
Dynamic Systems ◽  
Probabilistic Models ◽  
Sufficient Statistics ◽  
Voice Synthesis ◽  
Sample Decomposition ◽  
Speed Up ◽  
Filtering Procedure

В работе предложены математические инструменты на основе достаточных статистик и декомпозиции выборок в сочетании с алгоритмами распределенных вычислений, позволяющие существенно повысить эффективность процедуры фильтрации. Filtering algorithms are used to assess the state of dynamic systems when solving various practical problems, such as voice synthesis and determining the geo-position and monitoring the movement of objects. In the case of complex hierarchical dynamic systems with a large number of time slices, the process of calculating probabilistic characteristics becomes very time-consuming due to the need to generate a large number of samples. The essence of optimization is to reduce the number of samples generated by the filter, increase their consistency and speed up computational operations. The paper offers mathematical tools based on sufficient statistics and sample decomposition in combination with distributed computing algorithms that can significantly improve the efficiency of the filtering procedure.

scholarly journals Quantitative and Qualitative Methods in the Study of some Dynamic Systems

2015 ◽  
Vol 13 ◽  
pp. 168-171 ◽  
Author(s):  
Dumitru Bălă
Keyword(s):  
Dynamical Systems ◽  
Qualitative Methods ◽  
Dynamic Systems ◽  
Viscous Damping ◽  
Stability Of Dynamical Systems ◽  
The Stability ◽  
Quantitative And Qualitative Methods

In this paper we present several methods for the study of stability of dynamical systems. We analyze the stability of a hammer modeled by the free vibrator that collides with a sprung elastic mass taking into consideration the viscous damping too.

What might dynamical intentionality be, if not computation?

1998 ◽  
Vol 21 (5) ◽  
pp. 634-635 ◽  
Author(s):  
Ronald L. Chrisley
Keyword(s):  
Dynamical System ◽  
Dynamical Systems ◽  
Dynamic Systems ◽  
Cognitive Agent ◽  
Digital Computation ◽  
Target Article ◽  
Dynamical Hypothesis

(1) Van Gelder's concession that the dynamical hypothesis is not in opposition to computation in general does not agree well with his anticomputational stance. (2) There are problems with the claim that dynamic systems allow for nonrepresentational aspects of computation in a way in which digital computation cannot. (3) There are two senses of the “cognition is computation” claim and van Gelder argues against only one of them. (4) Dynamical systems as characterized in the target article share problems of universal realizability with formal notions of computation, but differ in that there is no solution available for them. (5) The dynamical hypothesis cannot tell us what cognition is, because instantiating a particular dynamical system is neither necessary nor sufficient for being a cognitive agent.

Adding ingredients to the self-organizing dynamic system stew: Motivation, communication, and higher-level emotions – and don't forget the genes!

2005 ◽  
Vol 28 (2) ◽  
pp. 197-198 ◽  
Author(s):  
Ross Buck
Keyword(s):  
Dynamic System ◽  
Dynamic Systems ◽  
Social Cognitive ◽  
Moral Emotions ◽  
The Self ◽  
The Relationship ◽  
Self Organizing

Self-organizing dynamic systems (DS) modeling is appropriate to conceptualizing the relationship between emotion and cognition-appraisal. Indeed, DS modeling can be applied to encompass and integrate additional phenomena at levels lower than emotional interpretations (genes), at the same level (motives), and at higher levels (social, cognitive, and moral emotions). Also, communication is a phenomenon involved in dynamic system interactions at all levels.

Graphing True-False Statements

1969 ◽  
Vol 62 (7) ◽  
pp. 553-556
Author(s):  
Margaret Wiscamb
Keyword(s):  
Truth Table ◽  
Graphic Representation ◽  
Truth Values ◽  
Truth Tables ◽  
True False ◽  
Tedious Process ◽  
Three Components

In elementary logic the construction of truth tables, while not difficult, can be a long and tedious process. In this article I would like to present a simple graphic representation of the truth values of compound statements involving two or three components. The graph gives all the information found in a truth table and pictures the statement as an easily recognizable pattern. By using this graphing procedure, the simplifying of statements is shortened considerably. In fact, for statements involving only two components, with a little practice it can usually be done by inspection. Proving that a statement is a tautology becomes almost trivial.

RECURSIVE ALGORITHM FOR ESTIMATING THE PARAMETERS OF MULTIDIMENSIONAL DISCRETE LINEAR DYNAMIC SYSTEMS OF DIFFERENT ORDERS WITH ERRORS ON THE INPUT

2018 ◽  
pp. 707-716
Author(s):  
Ilya L’vovich Sandler
Keyword(s):  
Dynamical Systems ◽  
Dynamic Systems ◽  
Quadratic Forms ◽  
Recursive Algorithm ◽  
Gradient Algorithm ◽  
Linear Dynamical Systems ◽  
Recurrent Algorithm ◽  
Linear Dynamic Systems ◽  
Stochastic Gradient Algorithm ◽  
Linear Dynamic

The paper presents a recurrent algorithm for estimating the parameters of multidimensional discrete linear dynamical systems of different orders with input errors, described by white noise. It is proved that the obtained estimates using stochastic gradient algorithm for minimization of quadratic forms are highly consistent

ON AUTOPARAMETRIC ROUTE LEADING TO CHAOS IN DYNAMICAL SYSTEMS

2002 ◽  
Vol 12 (04) ◽  
pp. 819-826 ◽  
Author(s):  
S. N. VLADIMIROV ◽  
V. V. NEGRUL
Keyword(s):  
Numerical Simulation ◽  
Phase Space ◽  
Dynamical Systems ◽  
Equilibrium State ◽  
Dynamic Systems ◽  
Strange Attractor ◽  
Oscillatory Systems ◽  
Physical Experiments ◽  
Bifurcation Phenomena ◽  
Infinite Dimensionality

Features of transition from regular types of oscillations to chaos in dynamic systems with finite and infinite dimensionality of phase space have been discussed. It has been found that for some types of nonlinearity, transition to the chaotic motion in these systems occurs according to the identical autoparametric scenario. The sequence of bifurcation phenomena looks as follows: equilibrium state ⇒ limit cycle ⇒ semitorus ⇒ strange attractor. On the basis of the results of numerical simulation a conclusion was made about the typical nature of such a scenario. The results of numerical calculations are confirmed by results of physical experiments carried out on the base of radiophysical self-oscillatory systems.

Periodicity and Nonlinearity of Nonlinear Dynamical Systems Under Periodic Excitation

2009 ◽  
Author(s):  
Lu Han ◽  
Liming Dai ◽  
Huayong Zhang
Keyword(s):  
Nonlinear Dynamics ◽  
Lyapunov Exponent ◽  
Dynamical Systems ◽  
Dynamic Systems ◽  
Nonlinear Dynamic ◽  
Nonlinear Dynamical Systems ◽  
Research Work ◽  
Nonlinear Dynamic Systems ◽  
Periodic Excitation ◽  
Nonlinear Dynamical

Periodicity and nonlinearity of nonlinear dynamic systems subjected to regular external excitations are studied in this research work. Diagnoses of regular and chaotic responses of nonlinear dynamic systems are performed with the implementation of a newly developed Periodicity Ratio in combining with the application of Lyapunov Exponent. The properties of the nonlinear dynamics systems are classified into four categories: periodic, irregular-nonchaotic, quasiperiodic and chaotic, each corresponding to their Periodicity Ratios. Detailed descriptions about diagnosing the responses of the four categories are presented with utilization of the Periodicity Ratio.

scholarly journals Modern Dynamical Systems Theory

1974 ◽  
Vol 62 ◽  
pp. 11-18
Author(s):  
L. Markus
Keyword(s):  
Dynamical Systems ◽  
Dynamic Systems ◽  
Vector Fields ◽  
Dense Subset ◽  
Complete Metric Space ◽  
Differentiable Manifold ◽  
Open Dense Subset ◽  
Generic Properties ◽  
Countable Collection ◽  
Generic Subset

In order to analyse generic or typical properties of dynamical systems we consider the space of all C1-vector fields on a fixed differentiable manifold M. In the C1-metric, assuming M is compact, is a complete metric space and a generic subset is an open dense subset or an intersection of a countable collection of such open dense subsets of . Some generic properties (i.e. specifying generic subsets) in are described. For instance, generic dynamic systems have isolated critical points and periodic orbits each of which is hyperbolic. If M is a symplectic manifold we can introduce the space of all Hamiltonian systems and study corresponding generic properties.

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