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Emanuel Gluskin

Publications and source records attributed to Emanuel Gluskin.

At least 19 recordsLinked to original sources
arXiv2016

The physical and circuit-theoretic significance of the Memristor : Full version

It is observed that the inductive and capacitive features of the memristor reflect (and are a quintessence of) such features of any resistor. The very presence of the voltage and current state variables, associated by their electrodynamics sense with electrical and magnetic fields, in the resistive characteristic v = f(i), forces any resister to accumulate some magnetic and electrostatic fields and energies around itself, i.e. L and C elements are always present. From the circuit-theoretic point of view, the role of the memristor is seen, first of all, in the elimination of the use of a unique v(i). This makes circuits with hysteresis characteristics relevant, and also suggests that the concept of memristor should influence the basic problem of definition of nonlinearity. Since the memristor mainly originates from the resistor, it was found necessary to overview some unusual cases of resistive circuits. The present opinion is that the framework of basic circuit theory and its connection with applications should be logically expanded in order to naturally include the new element.

cs.ET↗
arXiv2015

On the physical and circuit-theoretic significance of the Memristor

It is noticed that the inductive and capacitive features of the memristor reflect (and are a quintessence of) such features of any resistor. The very presence in the resistive characteristic v = f(i) of the voltage and current state variables, associated by their electrodynamics sense with electrical and magnetic fields, forces any resister to cause to accumulate some magnetic and electrostatic fields and energies around itself. The present version is strongly extended in the sense of the circuit theory discussion.

cs.ET↗
arXiv2012

On the recovery of the time average of continuous and discrete time functions from their Laplace and z-transforms

The determination of the time averages of continuous functions, or discrete time sequences is important for various problems in physics and engineering, and the generalized final-value theorems of the Laplace and z-transforms, relevant to functions and sequences not having a limit at infinity, can be very helpful in this determination. In the present contribution, we complete the proofs of these theorems and extend them to more general time functions and sequences with a well-defined average. Besides formal proofs, some simple examples and heuristic and pedagogical comments on the physical nature of the limiting processes defining the averaging are given.

math-ph↗
arXiv2012

One more (a further) generalization of the Final Value Theorem

It is shown that the previous [1-3] generalization of the final-value theorem to the average (not necessarily limiting) values, can be extended to the higher-order running averages $(<>_{t}), lim_{s\rightarrow0}[sF(s)] = lim_{t\rightarrow\infty} << ... << f(λ_{q}) > λ_{q-1} > λ_{q-2} ... > λ_{1} > t$, if f(t) is such that $\exists m = min[q] < \infty$ for which the later limit exists.

math-ph↗
arXiv2011

An ideal independent source as an equivalent 1-port

We consider a 1-port, not necessarily linear, with a dependent source, appearing at the port. The control of the source is entirely internal for the 1-port. If this source is a parallel voltage source, then the equivalent circuit is an ideal independent voltage source, and if it is a series current source, then the equivalent circuit is an ideal independent current source. (As usual, "ideal" source is defined as a source whose proposed function is independent of the load.) In the simple LTI case, these results can be obtained, respectively, by either taking RTh zero in the Thevenin equivalent, or taking RN infinite in the Norton equivalent; however the very fact that the final circuits do not include any linear elements indicates the possibility of generalization to nonlinear 1-ports. Some limitations on the circuit's structure (functional dependencies in it) are required, and the clearness of these limitations, i.e. clearness of the conditions for the 1-port to be an ideal source for any load, is the aesthetical point.

physics.gen-ph↗
arXiv2011

An application of physical units (dimensional) analysis to the consideration of nonlinearity in electrical switched circuits

The argument of physical dimension/units is applied to electrical switched circuits, making the topic of the nonlinearity of such circuits simpler. This approach is seen against the background of a more general outlook (IEEE CAS MAG, III, 2009, pp. 56-62) on singular (switched and sampling) systems. The appendix suggests some points for the axiomatization of system theory considered as an independent science.

physics.gen-ph↗
arXiv2011

On game psychology: an experiment on the chess board/screen, should you always "do your best", and why the programs with prescribed weaknesses cannot be our good friends?

It is noted that some unusual moves against a strong chess program greatly weaken its ability to see the serious targets of the game, and its whole level of play... It is suggested to create programs with different weaknesses in order to analyze similar human behavior. Finally, a new version of chess, "Chess Corrida" is suggested.

cs.AI↗
arXiv2011

The "psychological map of the brain", as a personal information card (file), - a project for the student of the 21st century

We suggest a procedure that is relevant both to electronic performance and human psychology, so that the creative logic and the respect for human nature appear in a good agreement. The idea is to create an electronic card containing basic information about a person's psychological behavior in order to make it possible to quickly decide about the suitability of one for another. This "psychological electronics" approach could be tested via student projects.

cs.AI↗
arXiv2010

Nonlinear Sampling and Lebesgue's Integral Sums

We consider nonlinear, or "event-dependent", sampling, i.e. such that the sampling instances {tk} depend on the function being sampled. The use of such sampling in the construction of Lebesgue's integral sums is noted and discussed as regards physical measurement and also possible nonlinearity of singular systems. Though the limit of the sums, i.e. Lebesgue's integral, is linear with regard to the function being integrated, these sums are nonlinear in the sense of the sampling. A relevant method of frequency detection not using any clock, and using the nonlinear sampling, is considered. The mathematics and the realization arguments essentially complete each other.

physics.data-an↗
arXiv2010

The electromagnetic "memory" of a dc-conducting resistor: a relativity argument and the electrical circuits

A circuit-field problem is considered. A resistor conducting a constant current is argued to be associated with electromagnetic energy accumulated in the surrounded space, though contrary to the case of an inductor or a capacitor, this energy is always associated with both magnetic and electrical fields. The circuit-theory point of view saying that a resistor has no electromagnetic memory is accepted, but the necessarily involved (in view of the field argument) capacitance and inductiveness are argued then also not be associated with any memory. The mutually completing circuit and physical arguments are presented as a dialog between a physicist and an electrical engineer. How can you call "parasitic" the elements that represent the fields due to which your resistor at all receives the energy?! -- asks the physicist finally.

physics.gen-ph↗
arXiv2010

A system outlook on the vision problem associated with observation of light flickering at the micro-saccades' frequency

The flickering of the light of fluorescent lamps (FL), whose basic frequency, 100 Hz, is close to that of the micro-saccadic (the eye-muscles' tremor component) eye movement, is a severe problem for autists (autistic humans), a problem for newborn babies, for people after some traumatic accidents, and for some 10% of otherwise absolutely normal humans. Taking the line of a "system-terms" discussion of the vision-disturbance problem, the present work provides a constructive framework for investigating the problem. Using the results of light intensity measurements and some simple analytical models for the instantaneous light-intensity function, and analyzing the role of the coincidence (closeness) of the frequencies of the ripple of and the micro saccades, we suggest a block-diagram for the biological vision control system. We also show that a singularity of the waveform of, which is typical for most FL, may be important for brain control of the eye tremor. The latter conclusion is supported by a simulation of the image intensity on retina.

physics.med-ph↗
arXiv2010

An approximate analytical (structural) superposition in terms of two, or more, "alfa"-circuits of the same topology: Pt. 2 - the "internal circuit mechanism"

This is the second part, after [1], of the research devoted to analysis of 1-ports composed of similar conductors ("f-circuits") described by the characteristic i = f(v) of a polynomial type. This analysis is performed by means of the power-law "alfa"-circuits" introduced in [2], for which f(v) ~ v^"alfa". The f-circuits are constructed from the "alfa"-circuits of the same topology, with the proper "alfa", so that the given topology is kept, and 'f' is an additive function of the connection. Explaining the situation described in detail in [1], we note and analyze a simple "circuit mechanism" that causes the difference between the input current of the f-circuit and the sum of the input currents of the f-circuits before the composition to be relatively small. The case of two degrees, f(v) = Dmv^m + Dnv^n, m unequal n, is treated in the main proofs. Some simulations are presented, and some boundaries for the error of the superposition are found. The cases of f(.) being a polynomial of the third or fourth degrees are finally briefly considered.

cs.OH↗
arXiv2010

An approximate analytical (structural) superposition in terms of two, or more, "alfa"-circuits of the same topology: Pt.1 - description of the superposition

One-ports named "f-circuits", composed of similar conductors described by a monotonic polynomial, or quasi-polynomial (i.e. with positive but not necessarily integer, powers) characteristic i = f(v) are studied, focusing on the algebraic map f --> F. Here F(.) is the input conductivity characteristic; i.e., iin = F(vin) is the input current. The "power-law" "alfa-circuit" introduced in [1], for which f(v) ~ v^"alfa", is an important particular case. By means of a generalization of a parallel connection, the f-circuits are constructed from the alfa-circuits of the same topology, with different "alfa", so that the given topology is kept, and 'f' is an additive function of the connection. We observe and consider an associated, generally approximated, but, in all of the cases studied, always high-precision, specific superposition. This superposition is in terms of f --> F, and it means that F(.) of the connection is close to the sum of the input currents of the independent "alfa"-circuits, all connected in parallel to the same source. In other words, F(.) is well approximated by a linear combination of the same degrees of the independent variable as in f(.), i.e. the map of the characteristics f --> F is close to a linear one. This unexpected result is useful for understanding nonlinear algebraic circuits, and is missed in the classical theory. The cases of f(v) = D1v + D2v^2 and f(v) = D1v + D3v^3, are analyzed in examples. Special topologies when the superposition must be ideal, are also considered. In the second part [2] of the work the "circuit mechanism" that is responsible for the high precision of the superposition, in the most general case, will be explained.

cs.OH↗
arXiv2010

One More Tool for Understanding Resonance

We propose the application of graphical convolution to the analysis of the resonance phenomenon. This time-domain approach encompasses both the finally attained periodic oscillations and the initial transient period. It also provides interesting discussion concerning the analysis of non-sinusoidal waves, based not on frequency analysis, but on direct consideration of waveforms, and thus presenting an introduction to Fourier series. Further developing the point of view of graphical convolution, we come to a new definition of resonance in terms of time domain.

math-ph↗
arXiv2008

On the mathematical representation of nonlinearity

The suggestion of writing, for some problems, nonlinear state equations not as dx/dt = F(x,u,t), but as dx/dt = [A(t,x)]x + [B(t,x)]u(t), which is more "constructive", is considered supported by arguments related to: the axiomatization of system theory, the classification of switched circuits as linear and nonlinear, the use of nonlinear sampling for measuring frequency without clock, the consideration of an ensemble of colliding particles in which the establishing of the chaotic movements is seen as a result of the same kind of nonlinearity as in electronic switching circuits, the modeling of a liquid medium as a "system" whose structure is directly influenced by the "input", and some other problems.

nlin.SI↗
arXiv2008

A Zerocrossing Analysis

(Abbr.) We consider a direct representation of a periodic time-function by means of its zero-crossings. The use of the zero-crossings as the describing parameters is made possible by a singular model of a strongly nonlinear electrical element. This new method is found helpful in the calculation and synthesis of a practically important system, and deserves attention of the mathematicians.

nlin.SI↗