About: Ši'lnikov Chaos in the Generalized Lorenz Canonical Form of Dynamical Systems     Goto   Sponge   NotDistinct   Permalink

An Entity of Type : http://linked.opendata.cz/ontology/domain/vavai/Vysledek, within Data Space : linked.opendata.cz associated with source document(s)

AttributesValues
rdf:type
Description
  • This paper studies the generalized Lorenz canonical form of dynamical systems introduced by Čelikovský and Chen [International Journal of Bifurcation and Chaos 12(8), 2002, 1789]. It proves the existence of a heteroclinic orbit of the canonical form and the convergence of the corresponding series expansion. The Ši'lnikov criterion along with some technical conditions guarantee that the canonical form has Smale horseshoes and horseshoe chaos. As a consequence, it also proves that both the classical Lorenz system and the Chen system have Ši'lnikov chaos. When the system is changed into another ordinary differential equation through a nonsingular one-parameter linear transformation, the exact range of existence of Ši'lnikov chaos with respect to the parameter can be specified. Numerical simulation verifies the theoretical results and analysis.
  • This paper studies the generalized Lorenz canonical form of dynamical systems introduced by Čelikovský and Chen [International Journal of Bifurcation and Chaos 12(8), 2002, 1789]. It proves the existence of a heteroclinic orbit of the canonical form and the convergence of the corresponding series expansion. The Ši'lnikov criterion along with some technical conditions guarantee that the canonical form has Smale horseshoes and horseshoe chaos. As a consequence, it also proves that both the classical Lorenz system and the Chen system have Ši'lnikov chaos. When the system is changed into another ordinary differential equation through a nonsingular one-parameter linear transformation, the exact range of existence of Ši'lnikov chaos with respect to the parameter can be specified. Numerical simulation verifies the theoretical results and analysis. (en)
  • Práce analyzuje Šilnikovův chaos ve zobecněném Lorenzově systému. (cs)
Title
  • Ši'lnikov Chaos in the Generalized Lorenz Canonical Form of Dynamical Systems
  • Šilnikovův chaos ve zobecněném Lorenzově systému (cs)
  • Ši'lnikov Chaos in the Generalized Lorenz Canonical Form of Dynamical Systems (en)
skos:prefLabel
  • Ši'lnikov Chaos in the Generalized Lorenz Canonical Form of Dynamical Systems
  • Šilnikovův chaos ve zobecněném Lorenzově systému (cs)
  • Ši'lnikov Chaos in the Generalized Lorenz Canonical Form of Dynamical Systems (en)
skos:notation
  • RIV/68407700:21230/05:03107464!RIV08-GA0-21230___
http://linked.open.../vavai/riv/strany
  • 319;334
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(GA102/05/0011)
http://linked.open...iv/cisloPeriodika
  • 4
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 542610
http://linked.open...ai/riv/idVysledku
  • RIV/68407700:21230/05:03107464
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • generalized Lorenz canonical form; heteroclinic orbit; Ši'lnikov criterion (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • NL - Nizozemsko
http://linked.open...ontrolniKodProRIV
  • [13079054B5E0]
http://linked.open...i/riv/nazevZdroje
  • Nonlinear Dynamics
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 39
http://linked.open...iv/tvurceVysledku
  • Čelikovský, Sergej
  • Chen, G.
  • Zhou, T.
issn
  • 0924-090X
number of pages
http://localhost/t...ganizacniJednotka
  • 21230
Faceted Search & Find service v1.16.118 as of Jun 21 2024


Alternative Linked Data Documents: ODE     Content Formats:   [cxml] [csv]     RDF   [text] [turtle] [ld+json] [rdf+json] [rdf+xml]     ODATA   [atom+xml] [odata+json]     Microdata   [microdata+json] [html]    About   
This material is Open Knowledge   W3C Semantic Web Technology [RDF Data] Valid XHTML + RDFa
OpenLink Virtuoso version 07.20.3240 as of Jun 21 2024, on Linux (x86_64-pc-linux-gnu), Single-Server Edition (126 GB total memory, 67 GB memory in use)
Data on this page belongs to its respective rights holders.
Virtuoso Faceted Browser Copyright © 2009-2024 OpenLink Software