Boundary surfaces in sequential circuits

Spany, V.; Plvka, L.

doi:10.1002/cta.4490180404

Cited by 22 publications

(7 citation statements)

References 6 publications

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“…1? Grid technique [37] was used for calculation of cross-sections of BS through individual voltage and current levels. Simulation results are included in Fig.…”

Section: Variations Of Boundary Surfacementioning

confidence: 99%

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Variations of Boundary Surface in Chua’s Circuit

Guzan¹

2015

RADIOENGINEERING

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The paper compares the boundary surfaces using cross-sections in three projection planes, for the four changes of Chua's circuit parameters. It is known that due to changing the parameters, the Chua's circuit can be characterized not only by stable limit cycle, but also by one double scroll chaotic attractor, two single scroll chaotic attractors or other two stable limit cycles. Chua's circuit can even start working as a binary memory. It is not known yet, how changes in parameters, and consequently in attractors in the circuit, will affect the morphology of the boundary surface. The boundary surface separates the double scroll chaotic attractor from the stable limit cycle. In a variation of the parameters presented in this paper, the boundary surface will separate even single scroll chaotic attractors from each other. Dividing the state space into regions of attraction for different attractors, however, remains fundamentally the same.

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“…1? Grid technique [37] was used for calculation of cross-sections of BS through individual voltage and current levels. Simulation results are included in Fig.…”

Section: Variations Of Boundary Surfacementioning

confidence: 99%

“…Thus BS in Chua's circuit received publicity for the first time in [37]. The meaning of BS in Chua's circuit rests not only in depicting its morphology in the state space.…”

Section: Introductionmentioning

confidence: 99%

Variations of Boundary Surface in Chua’s Circuit

Guzan¹

2015

RADIOENGINEERING

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“…and the eigenvalues depend only on linear part of polynomial approximation of AVCs of RTDs. Until very recently, analysis of MVMS was focused only on a high-frequency modeling of RTDs, influence of a pulse driving force on overall stability [26] and global dynamics [27] and specification of the boundary planes [28]. However, existence of chaos has not been uncovered and examined.…”

Section: Dynamical Model Of Fundamental Mvmsmentioning

confidence: 99%

Strange Attractors Generated by Multiple-Valued Static Memory Cell with Polynomial Approximation of Resonant Tunneling Diodes

Petržela

2018

Entropy

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This paper brings analysis of the multiple-valued memory system (MVMS) composed by a pair of the resonant tunneling diodes (RTD). Ampere-voltage characteristic (AVC) of both diodes is approximated in operational voltage range as common in practice: by polynomial scalar function. Mathematical model of MVMS represents autonomous deterministic dynamical system with three degrees of freedom and smooth vector field. Based on the very recent results achieved for piecewise-linear MVMS numerical values of the parameters are calculated such that funnel and double spiral chaotic attractor is observed. Existence of such types of strange attractors is proved both numerically by using concept of the largest Lyapunov exponents (LLE) and experimentally by computer-aided simulation of designed lumped circuit using only commercially available active elements.

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“…In [15], BS was calculated using PC by the grid method. It brought faster calculation and depiction of BS, compared with the graphic methods.…”

Section: Stable Manifold and Boundary Surfacementioning

confidence: 99%

Boundary surface and stable manifold in sequential circuits

Guzan

2011

Proceedings of 21st International Conference Radioelektronika 2011

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This item compares the boundary surface and stable manifold of a ternary memory. It points out to their consistency in the case of conventional saddle singularity. The other case, however, occurs at the second saddle -so called virtual. Then the boundary surface calculated using grid method differs from the stable manifold calculated by backward integration technique. The suggested procedure of calculating the stable manifold is hard for calculating and depicting a large number of trajectories -carriers of information about the stable manifold. After calculating the trajectories, stable manifold itself is depicted using the contour lines in the projection into u1, u2 plane.

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Boundary surfaces in sequential circuits

Cited by 22 publications

References 6 publications

Variations of Boundary Surface in Chua’s Circuit

Variations of Boundary Surface in Chua’s Circuit

Strange Attractors Generated by Multiple-Valued Static Memory Cell with Polynomial Approximation of Resonant Tunneling Diodes

Boundary surface and stable manifold in sequential circuits

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