Higher-Order Hamiltonian for Circuits with (alpha,beta) Elements
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26220%2F20%3APU136584" target="_blank" >RIV/00216305:26220/20:PU136584 - isvavai.cz</a>
Alternative codes found
RIV/60162694:G43__/20:00555977
Result on the web
<a href="https://www.mdpi.com/1099-4300/22/4/412" target="_blank" >https://www.mdpi.com/1099-4300/22/4/412</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.3390/e22040412" target="_blank" >10.3390/e22040412</a>
Alternative languages
Result language
angličtina
Original language name
Higher-Order Hamiltonian for Circuits with (alpha,beta) Elements
Original language description
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 sigma-circuits, i.e., circuits built exclusively from elements located on a common sigma-diagonal of the table. We show that the Hamiltonian can also be constructed via the generalized Tellegen’s theorem. According to the ideas of predictive modeling, the resulting Hamiltonian is made up exclusively of the constitutive relations of the elements in the circuit. Within the frame of Ostrogradsky’s formalism, the simulation scheme of S-circuits is designed and examined with the example of a nonlinear Pais–Uhlenbeck oscillator.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10302 - Condensed matter physics (including formerly solid state physics, supercond.)
Result continuities
Project
<a href="/en/project/GA18-21608S" target="_blank" >GA18-21608S: Memristors and other unconventional circuit elements</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2020
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
ENTROPY
ISSN
1099-4300
e-ISSN
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Volume of the periodical
22
Issue of the periodical within the volume
4
Country of publishing house
CH - SWITZERLAND
Number of pages
20
Pages from-to
1-20
UT code for WoS article
000537222600012
EID of the result in the Scopus database
2-s2.0-85085933954