Matches in SemOpenAlex for { <https://semopenalex.org/work/W3100207341> ?p ?o ?g. }
- W3100207341 endingPage "1730050" @default.
- W3100207341 startingPage "1730050" @default.
- W3100207341 abstract "This paper develops a computational method for studying stable/unstable manifolds attached to periodic orbits of differential equations. The method uses high order Chebyshev-Taylor series approximations in conjunction with the parameterization method -- a general functional analytic framework for invariant manifolds. The parameterization method can follow folds in the embedding, recovers the dynamics on the manifold through a simple conjugacy, and admits a natural notion of a-posteriori error analysis. The key to the approach is the derivation of a recursive system of linear differential equations describing the Taylor coefficients of the invariant manifold. We find periodic solutions of these equations by solving a coupled collection of boundary value problems with Chebyshev spectral methods. We discuss the performance of the method for the Lorenz system, and for circular restricted three and four body problems. We also illustrate the use of the method as a tool for computing cycle-to-cycle connecting orbits." @default.
- W3100207341 created "2020-11-23" @default.
- W3100207341 creator A5070536825 @default.
- W3100207341 creator A5088549920 @default.
- W3100207341 date "2017-12-30" @default.
- W3100207341 modified "2023-09-27" @default.
- W3100207341 title "Chebyshev–Taylor Parameterization of Stable/Unstable Manifolds for Periodic Orbits: Implementation and Applications" @default.
- W3100207341 cites W1479779932 @default.
- W3100207341 cites W1560059797 @default.
- W3100207341 cites W158435360 @default.
- W3100207341 cites W1657410269 @default.
- W3100207341 cites W1964860069 @default.
- W3100207341 cites W1970608193 @default.
- W3100207341 cites W1972766133 @default.
- W3100207341 cites W1974005577 @default.
- W3100207341 cites W1982449011 @default.
- W3100207341 cites W1988595360 @default.
- W3100207341 cites W1989018928 @default.
- W3100207341 cites W1993430945 @default.
- W3100207341 cites W1995249182 @default.
- W3100207341 cites W2000661444 @default.
- W3100207341 cites W2000896643 @default.
- W3100207341 cites W2004441360 @default.
- W3100207341 cites W2005546045 @default.
- W3100207341 cites W2006903827 @default.
- W3100207341 cites W2008879265 @default.
- W3100207341 cites W2010897472 @default.
- W3100207341 cites W2011038602 @default.
- W3100207341 cites W2016018667 @default.
- W3100207341 cites W2018008514 @default.
- W3100207341 cites W2019692317 @default.
- W3100207341 cites W2021356682 @default.
- W3100207341 cites W2021708781 @default.
- W3100207341 cites W2036319645 @default.
- W3100207341 cites W2036685798 @default.
- W3100207341 cites W2042880393 @default.
- W3100207341 cites W2045317658 @default.
- W3100207341 cites W2046238971 @default.
- W3100207341 cites W2054589454 @default.
- W3100207341 cites W2054688937 @default.
- W3100207341 cites W2055927687 @default.
- W3100207341 cites W2057274346 @default.
- W3100207341 cites W2061396093 @default.
- W3100207341 cites W2068264680 @default.
- W3100207341 cites W2073686912 @default.
- W3100207341 cites W2074193803 @default.
- W3100207341 cites W2075659698 @default.
- W3100207341 cites W2076033814 @default.
- W3100207341 cites W2077011938 @default.
- W3100207341 cites W2080409870 @default.
- W3100207341 cites W2080518444 @default.
- W3100207341 cites W2080579408 @default.
- W3100207341 cites W2085464373 @default.
- W3100207341 cites W2087723889 @default.
- W3100207341 cites W2096828612 @default.
- W3100207341 cites W2119331844 @default.
- W3100207341 cites W2119779417 @default.
- W3100207341 cites W2120250175 @default.
- W3100207341 cites W2141393811 @default.
- W3100207341 cites W2144739582 @default.
- W3100207341 cites W2161644951 @default.
- W3100207341 cites W2167309987 @default.
- W3100207341 cites W2276976576 @default.
- W3100207341 cites W2294573990 @default.
- W3100207341 cites W2313179125 @default.
- W3100207341 cites W2335681000 @default.
- W3100207341 cites W2339112493 @default.
- W3100207341 cites W2389184278 @default.
- W3100207341 cites W246508170 @default.
- W3100207341 cites W2600077269 @default.
- W3100207341 cites W2950197822 @default.
- W3100207341 cites W3099147900 @default.
- W3100207341 cites W3099726329 @default.
- W3100207341 cites W4239976632 @default.
- W3100207341 cites W4249475115 @default.
- W3100207341 cites W44921523 @default.
- W3100207341 cites W603547344 @default.
- W3100207341 cites W74169033 @default.
- W3100207341 cites W78381459 @default.
- W3100207341 doi "https://doi.org/10.1142/s0218127417300506" @default.
- W3100207341 hasPublicationYear "2017" @default.
- W3100207341 type Work @default.
- W3100207341 sameAs 3100207341 @default.
- W3100207341 citedByCount "11" @default.
- W3100207341 countsByYear W31002073412019 @default.
- W3100207341 countsByYear W31002073412020 @default.
- W3100207341 countsByYear W31002073412021 @default.
- W3100207341 countsByYear W31002073412022 @default.
- W3100207341 countsByYear W31002073412023 @default.
- W3100207341 crossrefType "journal-article" @default.
- W3100207341 hasAuthorship W3100207341A5070536825 @default.
- W3100207341 hasAuthorship W3100207341A5088549920 @default.
- W3100207341 hasBestOaLocation W31002073412 @default.
- W3100207341 hasConcept C121332964 @default.
- W3100207341 hasConcept C127413603 @default.
- W3100207341 hasConcept C134306372 @default.
- W3100207341 hasConcept C158622935 @default.
- W3100207341 hasConcept C158946198 @default.