Methods of chaos and self-organization in psychophysiology

10.12737/3394 ◽  
2014 ◽  
Vol 3 (1) ◽  
pp. 13-28
Author(s):  
Поскина ◽  
T. Poskina ◽  
Филатова ◽  
D. Filatova ◽  
Филатов ◽  
...  
Keyword(s):  
Phase Space ◽  
Dynamic System ◽  
Dynamic Systems ◽  
Self Organization ◽  
Deterministic Approach ◽  
System Behavior ◽  
System Parameters ◽  
A Value ◽  
Identification Theory

. All the H. Haken’s postulates (1970-2013) emphasize deterministic approach and level a value of trajectory of behavior of biological dynamic system in phase space of states. The significance of the latter theory is hard to overestimate, because according to phase space of states the new identification theory is being created and behavioral descriptions of biological dynamic systems are given. This new theory is based on measures of biological dynamic system parameters in phase space of states and does not need any concrete equations, it can be based on detection of quasi-attractors’ parameters of biological dynamic system behavior in phase space of states and characters are quasi-attractor parameters.

Possibilities of stochastic processing of system parameters with chaotic dynamics

10.12737/5519 ◽  
2014 ◽  
Vol 3 (2) ◽  
pp. 59-67
Author(s):  
Берестин ◽  
D. Berestin ◽  
Попов ◽  
Yuriy Popov ◽  
Вохмина ◽  
...  
Keyword(s):  
Phase Space ◽  
General Population ◽  
Chaotic Dynamics ◽  
Estimation Method ◽  
Pairwise Comparison ◽  
Wilcoxon Test ◽  
Self Organization ◽  
Postural Tremor ◽  
System Parameters ◽  
Stochastic Processing

The paper presents the first attempt to combine methods of stochastics (mathematical statistics) and methods of theory of chaos and self-organization for studying such complex (chaotic) processes as postural tremor. It was established that when re-registering tremor in each subject by n=15 or n=30 obtained tremorograms do not exhibit normal distribution, and non-parametric distributions show distinctions at pairwise comparison on Wilcoxon test (only 2 or 3 pairs from 210 may belong to the same general population). Static physical load sharply changes this picture and the number of such ("similar") pairs increases. The estimation method for effect of a load on tremor is proposed. Simultaneously, within calculating quasi-attractors there is a clear picture of division of chaotic dynamics of tremor parameters with load and without load. Prospects of a new method application in physiological measurements are discussed. Limited method of stochas- tics in description of complexity is underlined, and necessity of calculation quasi-attractor´s parameters in phase space of state is proved.

PERTURBATION PARAMETERS TUNING OF MULTI-OBJECTIVE OPTIMIZATION DIFFERENTIAL EVOLUTION AND ITS APPLICATION TO DYNAMIC SYSTEM MODELING

2015 ◽  
Vol 75 (11) ◽  
Author(s):  
Mohd Zakimi Zakaria ◽  
Hishamuddin Jamaluddin ◽  
Robiah Ahmad ◽  
Azmi Harun ◽  
Radhwan Hussin ◽  
...  
Keyword(s):  
Differential Evolution ◽  
Dynamic System ◽  
Dynamic Systems ◽  
System Modeling ◽  
Multi Objective Optimization ◽  
Multi Objective ◽  
Structure Selection ◽  
Dynamic System Modeling ◽  
Perturbation Parameters ◽  
Model Structure Selection

This paper presents perturbation parameters for tuning of multi-objective optimization differential evolution and its application to dynamic system modeling. The perturbation of the proposed algorithm was composed of crossover and mutation operators.  Initially, a set of parameter values was tuned vigorously by executing multiple runs of algorithm for each proposed parameter variation. A set of values for crossover and mutation rates were proposed in executing the algorithm for model structure selection in dynamic system modeling. The model structure selection was one of the procedures in the system identification technique. Most researchers focused on the problem in selecting the parsimony model as the best represented the dynamic systems. Therefore, this problem needed two objective functions to overcome it, i.e. minimum predictive error and model complexity.  One of the main problems in identification of dynamic systems is to select the minimal model from the huge possible models that need to be considered. Hence, the important concepts in selecting good and adequate model used in the proposed algorithm were elaborated, including the implementation of the algorithm for modeling dynamic systems. Besides, the results showed that multi-objective optimization differential evolution performed better with tuned perturbation parameters.

scholarly journals Motivational dynamics in English classes at a Brazilian public school

2017 ◽  
Vol 17 (2) ◽  
pp. 219-246 ◽  
Author(s):  
Raquel Bambirra
Keyword(s):  
Data Analysis ◽  
Dynamic Systems ◽  
Student Motivation ◽  
Teacher Motivation ◽  
Self Organization ◽  
English Teacher ◽  
Pedagogical Practice ◽  
Systems Perspective ◽  
English Classes ◽  
English Classroom

ABSTRACT This paper seeks to discuss the interrelations between the motivation of an English teacher at a public federal high school in Brazil and that of her students from a dynamic systems perspective. Three teachers’ oral narratives and 14 students’ logbook entries were used for the data analysis. The teacher’s descriptions and comments on her pedagogical practice were compared to the students’ impressions and motivational levels in an attempt to understand this English classroom-system motivational dynamics and self-organization processes, focusing on how this teacher’s and her students’ motivation co-adapt and soft-assemble, influencing and being influenced by the context. The results seem to confirm not only that student motivation and teacher motivation are deeply interrelated, but also that they interact organically and continually, revealing that the context is contingent.

Sequences of Global Bifurcations and the Related Outcomes after Crisis of the Resonant Attractor in a Nonlinear Oscillator

1997 ◽  
Vol 07 (11) ◽  
pp. 2437-2457 ◽  
Author(s):  
W. Szemplińska-Stupnicka ◽  
E. Tyrkiel
Keyword(s):  
Nonlinear Oscillator ◽  
Duffing Oscillator ◽  
Nonlinear Resonance ◽  
Basins Of Attraction ◽  
Global Bifurcations ◽  
System Behavior ◽  
Coexisting Attractors ◽  
System Parameters

The problem of the system behavior after annihilation of the resonant attractor in the region of the nonlinear resonance hysteresis is considered. The sequences of global bifurcations, in connection with the associated metamorphoses of basins of attraction of coexisting attractors, are examined. The study allows one to reveal the mechanism that governs the phenomenon of the post crisis ensuing transient trajectory to settle onto one or another remote attractor. The problem is studied in detail for the twin-well potential Duffing oscillator. The boundary which splits the considered region of system parameters into two subdomains, where the outcome is unique or the two outcomes are possible, is defined.

Parameter Design in Optimal Control Problems for Linear Dynamic Systems Using a Canonical Form

2013 ◽  
Vol 136 (1) ◽  
Author(s):  
Ui-Jin Jung ◽  
Gyung-Jin Park ◽  
Sunil K. Agrawal
Keyword(s):  
Optimal Control ◽  
Dynamic System ◽  
Dynamic Systems ◽  
Control Method ◽  
Linear Dynamic System ◽  
Parameter Design ◽  
Control Problems ◽  
State Transformation ◽  
Specific System ◽  
Linear Dynamic

Control problems in dynamic systems require an optimal selection of input trajectories and system parameters. In this paper, a novel procedure for optimization of a linear dynamic system is proposed that simultaneously solves the parameter design problem and the optimal control problem using a specific system state transformation. Also, the proposed procedure includes structural design constraints within the control system. A direct optimal control method is also examined to compare it with the proposed method. The limitations and advantages of both methods are discussed in terms of the number of states and inputs. Consequently, linear dynamic system examples are optimized under various constraints and the merits of the proposed method are examined.

scholarly journals THE PERCEPTION OF AMBIGUOUS IMAGES AS A QUANTUM INFORMATION PROCESS

2014 ◽  
Author(s):  
Giuseppe Caglioti ◽  
Giorgio Benedek ◽  
Luigi Cocchiarella
Keyword(s):  
Superposition Principle ◽  
Necker Cube ◽  
Symmetry Reduction ◽  
Self Organization ◽  
Planck Constant ◽  
Information Process ◽  
A Value ◽  
Key Concepts ◽  
Mesoscopic Level ◽  
Interdisciplinary Study

A simulation of the dynamic perception of the Necker cube in terms of a two level quantum system – e.g. a qubit realized by a Josephson junction or by an electron of spin ½ controlled by magnetic fields – indicates that the neuro-physiological transformation leading, through a symmetry reduction, to perceptual reversal is controlled by the principles of quantum mechanics. A value of the order of 0,32 mJ.s is estimated for the elementary neuro-physiological action simulating the Planck constant at a mesoscopic level. In this interdisciplinary study key concepts are utilized: symmetry, symmetry reduction, self-organization, superposition principle and ambiguity.

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