New chaotic dynamical system with a conic-shaped equilibrium located on the plane structure

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26220%2F17%3APU124733" target="_blank" >RIV/00216305:26220/17:PU124733 - isvavai.cz</a>

Výsledek na webu

<a href="https://www.mdpi.com/2076-3417/7/10/976" target="_blank" >https://www.mdpi.com/2076-3417/7/10/976</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.3390/app7100976" target="_blank" >10.3390/app7100976</a>

Jazyk výsledku

angličtina

Název v původním jazyce

New chaotic dynamical system with a conic-shaped equilibrium located on the plane structure

Popis výsledku v původním jazyce

This paper presents a new autonomous deterministic dynamical system with equilibrium degenerated into a plane-oriented hyperbolic geometrical structure. It is demonstrated via numerical analysis and laboratory experiments that the discovered system has both a structurally stable strange attractor and experimentally measurable chaotic behavior. It is shown that the evolution of complex dynamics can be associated with a single parameter of a mathematical model and, due to one-to-one correspondence, to a single circuit parameter. Two-dimensional high resolution plots of the largest Lyapunov exponent and basins of attraction expressed in terms of final state energy are calculated and put into the context of the discovered third-order mathematical model and real chaotic oscillator. Both voltage- and current-mode analog chaotic oscillators are presented and verified by visualization of the typical chaotic attractor in a different fashion.

Název v anglickém jazyce

New chaotic dynamical system with a conic-shaped equilibrium located on the plane structure

Popis výsledku anglicky

This paper presents a new autonomous deterministic dynamical system with equilibrium degenerated into a plane-oriented hyperbolic geometrical structure. It is demonstrated via numerical analysis and laboratory experiments that the discovered system has both a structurally stable strange attractor and experimentally measurable chaotic behavior. It is shown that the evolution of complex dynamics can be associated with a single parameter of a mathematical model and, due to one-to-one correspondence, to a single circuit parameter. Two-dimensional high resolution plots of the largest Lyapunov exponent and basins of attraction expressed in terms of final state energy are calculated and put into the context of the discovered third-order mathematical model and real chaotic oscillator. Both voltage- and current-mode analog chaotic oscillators are presented and verified by visualization of the typical chaotic attractor in a different fashion.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

20201 - Electrical and electronic engineering

Projekt

<a href="/cs/project/GA15-22712S" target="_blank" >GA15-22712S: Chaotické chování subsystémů radiofrekvenčního kanálu</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2017

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Applied Sciences - Basel

ISSN

2076-3417

e-ISSN

—

Svazek periodika

7

Číslo periodika v rámci svazku

10

Stát vydavatele periodika

CH - Švýcarská konfederace

Počet stran výsledku

13

Strana od-do

976-988

Kód UT WoS článku

000414457800014

EID výsledku v databázi Scopus

2-s2.0-85029813338