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Higher-Order Hamiltonian for Circuits with (α,β) Elements [PDF]

open access: yesEntropy, 2020
The paper studies the construction of the Hamiltonian for circuits built from the (α,β) elements of Chua’s periodic table. It starts from the Lagrange function, whose existence is limited to Σ-circuits, i.e., circuits built exclusively from elements ...
Zdeněk Biolek   +3 more
doaj   +2 more sources

Lagrangian for Circuits with Higher-Order Elements [PDF]

open access: yesEntropy, 2019
The necessary and sufficient conditions of the validity of Hamilton’s variational principle for circuits consisting of (α,β) elements from Chua’s periodical table are derived.
Zdenek Biolek   +2 more
doaj   +2 more sources

Extended and Generic Higher-Order Elements for MEMS Modeling

open access: yesSensors, 2022
State-dependent resistors, capacitors, and inductors are a common part of many smart engineering solutions, e.g., in MEMS (Micro-Electro-Mechanical Systems) sensors and actuators, Micro/NanoMachines, or biomimetic systems. These memory elements are today
Zdeněk Biolek   +3 more
doaj   +1 more source

All Pinched Hysteresis Loops Generated by (α, β) Elements: in What Coordinates They May be Observable

open access: yesIEEE Access, 2020
Two existing theorems for studying pinched hysteresis loops generated by nonlinear higher-order elements from Chua's table are reformulated, namely the generalized homothety theorem and the associated Loop Location Rule, specifying the coordinates where ...
Zdenek Biolek   +3 more
doaj   +1 more source

Observation of chaotic beats in a driven memristive Chua's circuit [PDF]

open access: yes, 2010
In this paper, a time varying resistive circuit realising the action of an active three segment piecewise linear flux controlled memristor is proposed. Using this as the nonlinearity, a driven Chua's circuit is implemented.
Ahamed, A. Ishaq   +3 more
core   +2 more sources

Fuzzy Control of Chaos [PDF]

open access: yes, 1998
We introduce the idea of the fuzzy control of chaos: we show how fuzzy logic can be applied to the control of chaos, and provide an example of fuzzy control used to control chaos in Chua's ...
Calvo, Oscar, Cartwright, Julyan H. E.
core   +3 more sources

Qualitative analysis of the dynamics of the time delayed Chua's circuit [PDF]

open access: yes, 1997
IEEE TRANS. CIRCUITS SYST.
Biey, Mario   +3 more
core   +1 more source

CMOS design of chaotic oscillators using state variables: a monolithic Chua's circuit [PDF]

open access: yes, 1993
This paper presents design considerations for monolithic implementation of piecewise-linear (PWL) dynamic systems in CMOS technology. Starting from a review of available CMOS circuit primitives and their respective merits and drawbacks, the paper ...
Delgado Restituto, Manuel   +1 more
core   +1 more source

Dynamical properties of electrical circuits with fully nonlinear memristors [PDF]

open access: yes, 2010
The recent design of a nanoscale device with a memristive characteristic has had a great impact in nonlinear circuit theory. Such a device, whose existence was predicted by Leon Chua in 1971, is governed by a charge-dependent voltage-current relation of ...
Riaza, Ricardo
core   +3 more sources

Hamilton’s Principle for Circuits with Dissipative Elements

open access: yesComplexity, 2019
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 so-called higher-order elements.
Zdeněk Biolek   +2 more
doaj   +1 more source

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