Browsing by Author "Biolek, Zdeněk"
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About vi Pinched Hysteresis of Some NonMemristive Systems
Biolek, Dalibor; Biolek, Zdeněk; Biolková, Viera; Ascoli, Alon; Tetzlaff, Ronald (Hindawi, 20180924)A special subset of twoterminal elements providing pinched hysteresis loops in the voltagecurrent plane with the lobe area increasing with the frequency is analysed. These devices are identified as nonmemristive systems ... 
All Pinched Hysteresis Loops Generated by (alpha, beta) Elements: in What Coordinates They May be Observable
Biolek, Zdeněk; Biolek, Dalibor; Biolková, Viera; Kolka, Zdeněk (IEEE, 20201201)Two existing theorems for studying pinched hysteresis loops generated by nonlinear higherorder elements from Chua's table are reformulated, namely the generalized homothety theorem and the associated Loop Location Rule, ... 
Analytical Computation of the Area of Pinched Hysteresis Loops of Ideal MemElements
Biolek, Zdeněk; Biolek, Dalibor; Biolková, Viera (Společnost pro radioelektronické inženýrství, 201304)The memory elements, memristor being the best known of them, driven by a periodical waveform exhibit the wellknown pinched hysteresis loops. The hysteresis is caused by a memory effect which results in a nonzero area ... 
Behavioral Modeling of Memcapacitor
Biolek, Dalibor; Biolek, Zdeněk; Biolková, Viera (Společnost pro radioelektronické inženýrství, 201104)Two behavioral models of memcapacitor are developed and implemented in SPICEcompatible simulators. Both models are related to the chargecontrolled memcapacitor, the capacitance of which is controlled by the amount of ... 
Comments on Pinched Hysteresis Loops of Memristive Elements
Biolek, Zdeněk; Biolek, Dalibor; Biolková, Viera; Kolka, Zdeněk (Společnost pro radioelektronické inženýrství, 201512)The hysteresis loops pinched in the vi origin belong to wellknown fingerprints of memristive elements driven by bipolar periodical signals. Some element properties follow from the loop behavior in the close neighborhood ... 
Differential Equations of Ideal Memristors
Biolek, Zdeněk; Biolek, Dalibor; Biolková, Viera (Společnost pro radioelektronické inženýrství, 201506)Ideal memristor is a resistor with a memory, which adds dynamics to its behavior. The most usual characteristics describing this dynamics are the constitutive relation (i.e. the relation between flux and charge), or ... 
Duality of Complex Systems Built from HigherOrder Elements
Biolek, Dalibor; Biolek, Zdeněk; Biolková, Viera (Hindawi, 20180907)The duality of nonlinear systems built from higherorder twoterminal Chua’s elements and independent voltage and current sources is analyzed. Two different approaches are now being generalized for circuits with higherorder ... 
EulerLagrange Equations of Networks with HigherOrder Elements
Biolek, Zdeněk; Biolek, Dalibor (Společnost pro radioelektronické inženýrství, 201706)The paper suggests a generalization of the classic EulerLagrange equation for circuits compounded of arbitrary elements from Chua’s periodic table. Newly defined potential functions for general (α, β) elements are used ... 
Hamilton’s principle for circuits with dissipative elements
Biolek, Zdeněk; Biolek, Dalibor; Biolková, Viera (Hindawi, 20191028)The classic form of Hamilton’s variational principle does not hold for circuits with dissipative elements. It is shown in the paper that this may not be true in the case of systems consisting of the socalled higherorder ... 
HigherOrder Hamiltonian for Circuits with (alpha,beta) Elements
Biolek, Zdeněk; Biolek, Dalibor; Biolková, Viera; Kolka, Zdeněk (MDPI AG, 20200405)The paper studies the construction of the Hamiltonian for circuits built from the (alpha,beta) elements of Chua’s periodic table. It starts from the Lagrange function, whose existence is limited to sigmacircuits, i.e., ... 
Lagrangian for circuits with higherorder elements
Biolek, Zdeněk; Biolek, Dalibor; Biolková, Viera (MDPI, 20191029)The necessary and sufficient conditions of the validity of Hamilton’s variational principle for circuits consisting of (alpha,beta) elements from Chua’s periodical table are derived. It is shown that the principle holds ... 
Reliable Modeling of Ideal Generic Memristors via StateSpace Transformation
Biolek, Dalibor; Biolek, Zdeněk; Biolková, Viera; Kolka, Zdeněk (Společnost pro radioelektronické inženýrství, 201506)The paper refers to problems of modeling and computer simulation of generic memristors caused by the socalled window functions, namely the stick effect, nonconvergence, and finding fundamentally incorrect solutions. A ... 
SPICE Model of Memristor with Nonlinear Dopant Drift
Biolek, Zdeněk; Biolek, Dalibor; Biolková, Viera (Společnost pro radioelektronické inženýrství, 200906)A mathematical model of the prototype of memristor, manufactured in 2008 in HewlettPackard Labs, is described in the paper. It is shown that the hitherto published approaches to the modeling of boundary conditions need ... 
Utilization of EulerLagrange Equations in Circuits with Memory Elements
Biolek, Zdeněk; Biolek, Dalibor; Biolková, Viera (Společnost pro radioelektronické inženýrství, 201612)It is well known that the equation of motion of a system can be set up using the Lagrangian and the dissipation function, which describe the conservative and dissipative parts of the system. However, this procedure, ... 
(V)TEAM for SPICE Simulation of Memristive Devices With Improved Numerical Performance
Biolek, Dalibor; Kolka, Zdeněk; Biolková, Viera; Biolek, Zdeněk; Kvatinsky, Shahar (IEEE, 20210225)The paper introduces a set of models of memristive devices for a reliable, accurate and fast analysis of large networks in the SPICE (Simulation Program with Integrated Circuit Emphasis) environment. The modeling starts ...