Self-oscillations in a system with hysteresis: the small parameter approach

Семенов, Михаил Е.; Reshetova, Olga O.; Borzunov, Sergei; Meleshenko, Peter A.

doi:10.1140/epjs/s11734-021-00237-3

Cited by 6 publications

(4 citation statements)

References 18 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Thus, the reaction of systems to destructive influences applied to them depends, among other things, on their current state, and the dynamics of the system over a time interval is largely determined by its prehistory. This behavior of the system is close to the phenomena of systemic hysteresis described in the literature [20][21][22]. The use of the combinatorial model given in the article, in contrast to the models described in [1][2][3][4][5][6][7] and others, develops a set-theoretic representation of systems for solving problems related to the study of the functioning of systems under destructive conditions and external influences, namely with the minimization of information losses in the system.…”

Section: Simulation Resultsmentioning

confidence: 64%

A Combinatorial Model for Determining Information Loss in Organizational and Technical Systems

et al. 2022

View full text Add to dashboard Cite

A combinatorial model is proposed for determining the probability and information losses in an organizational and technical system (OTS) under destructive external influences. Mathematical expressions are obtained to determine the loss of information in the clusters of the control system. It is shown that the use of this model for a quantitative analysis of the probability of occurrence of events and information losses in the control system, under varying external influences on the dynamic OTS, makes it possible to carry out a quantitative analysis and synthesis of the structure of the control system that is resistant to destructive external influences. A decomposition of the probabilities of occurrence of events and the corresponding loss of information by the levels of the hierarchy of the analyzed air traffic control system is presented. The achieved result is due to the sensitivity of the model for determining information losses relative to changes in the structure of the system and destructive external influences, as well as the use of the mathematical apparatus in combinatorial analyses.

show abstract

Section: Simulation Resultsmentioning

confidence: 64%

A Combinatorial Model for Determining Information Loss in Organizational and Technical Systems

et al. 2022

View full text Add to dashboard Cite

show abstract

“…Therefore, the task of developing the high-precision numerical methods for constructing approximate solutions to systems of the form ( 21) is important. Note that this idea can also be transferred to models with hysteresis which were considered in [24][25][26].…”

Section: The Piecewise Smooth Systems With Quadratic-type Nonlinearit...mentioning

confidence: 99%

On a High-Precision Method for Studying Attractors of Dynamical Systems and Systems of Explosive Type

Pchelintsev

2022

Mathematics

View full text Add to dashboard Cite

The author of this article considers a numerical method that uses high-precision calculations to construct approximations to attractors of dynamical systems of chaotic type with a quadratic right-hand side, as well as to find the vertical asymptotes of solutions of systems of explosive type. A special case of such systems is the population explosion model. A theorem on the existence of asymptotes is proved. The extension of the numerical method for piecewise smooth systems is described using the Chua system as an example, as well as systems with hysteresis.

show abstract

“…This function significantly increases the flexibility of the UNC. It is obvious that this activation function helps to enhance the robustness of the neural network to various types of noise and improves the capacity of the intellectual output by adding degrees of freedom (i.e., parameters of the hysteresis model) [11][12][13][14][15][16] which determine the nonlinearity of the dynamics of the whole ANN. It is also important that the use of hysteresis functions with feedforward neural networks results in short-term memory effects.…”

Section: Neuron Activation Functionmentioning

confidence: 99%

A Model of a Universal Neural Computer with Hysteresis Dynamics for Avionics Problems

et al. 2022

View full text Add to dashboard Cite

The paper proposes a method for implementing a universal neural network processor with hysteresis dynamics. This processor allows a wide range of heterogeneous tasks in real time to be performed without reprogramming and changing their internal structure. Adding hysteresis behavior to the system makes it possible to increase resistance to external influences, the complexity as well as non-linearity of intelligent output. The paper discusses the use of this processor as part of an on-board intelligent avionics system.

show abstract

Self-oscillations in a system with hysteresis: the small parameter approach

Cited by 6 publications

References 18 publications

A Combinatorial Model for Determining Information Loss in Organizational and Technical Systems

A Combinatorial Model for Determining Information Loss in Organizational and Technical Systems

On a High-Precision Method for Studying Attractors of Dynamical Systems and Systems of Explosive Type

A Model of a Universal Neural Computer with Hysteresis Dynamics for Avionics Problems

Contact Info

Product

Resources

About