An Algorithm for Computing Heteroclinic Orbits and its Application to Chaos Synthesis in the Generalized Lorenz System
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21230%2F05%3A03109244" target="_blank" >RIV/68407700:21230/05:03109244 - isvavai.cz</a>
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Alternative languages
Result language
angličtina
Original language name
An Algorithm for Computing Heteroclinic Orbits and its Application to Chaos Synthesis in the Generalized Lorenz System
Original language description
In this paper, an algorithm for computing heteroclinic orbits of nonlinear systems, which can have several hyperbolic equilibria, is suggested and analyzed both analytically and numerically. The method is based on a representation of the invariant manifold of a hyperbolic equilibrium via a certain exponential series expansion. The algorithm for computing the series coefficients is derived and the uniform convergence of the series is theoretically proved. The algorithm is then applied to computing heteroclinic orbits numerically in the generated Lorenz system, thereby theoretically justifying the previously demonstrated existence of chaotic oscillations in this important class of dynamical systems.
Czech name
Není k dispozici
Czech description
Není k dispozici
Classification
Type
A - Audiovisual production
CEP classification
BC - Theory and management systems
OECD FORD branch
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Result continuities
Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2005
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
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Place of publication
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Carrier ID
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