Matches in SemOpenAlex for { <https://semopenalex.org/work/W4307042506> ?p ?o ?g. }
Showing items 1 to 98 of
98
with 100 items per page.
- W4307042506 endingPage "106971" @default.
- W4307042506 startingPage "106971" @default.
- W4307042506 abstract "We consider a one parameter family of 2-DOF Hamiltonian systems having an equilibrium point that undergoes a Hamiltonian-Hopf bifurcation. We briefly review the well-established normal form theory in this case. Then we focus on the invariant manifolds when there are homoclinic orbits to the complex-saddle equilibrium point, and we study the behavior of the splitting of the 2D invariant manifolds. The symmetries of the normal form are used to reduce the dynamics around the invariant manifolds to the dynamics of a family of area-preserving near-identity Poincaré maps that can be extended analytically to a suitable neighborhood of the separatrices. This allows, in particular, to use well-known results for area-preserving maps and derive an explicit upper bound of the splitting of separatrices for the Poincaré map. We illustrate the results in a concrete example. Different Poincaré sections are used to visualize the dynamics near the 2D invariant manifolds. Last section deals with the derivation of a separatrix map to study the chaotic dynamics near the 2D invariant manifolds. • Computation of the Sokolskii normal form of a two degrees of freedom Hamiltonian system near a complex saddle equilibrium point. • Computation and visualization of the two dimensional invariant manifolds of complex saddle points. • Derivation of the formula of the splitting of separatrices and high precision numerical check of it. • Derivation of a separatrix map to model the dynamics close to the manifolds." @default.
- W4307042506 created "2022-10-23" @default.
- W4307042506 creator A5067082036 @default.
- W4307042506 creator A5085608480 @default.
- W4307042506 date "2023-02-01" @default.
- W4307042506 modified "2023-10-06" @default.
- W4307042506 title "Dynamics near the invariant manifolds after a Hamiltonian-Hopf bifurcation" @default.
- W4307042506 cites W1978642242 @default.
- W4307042506 cites W1978695457 @default.
- W4307042506 cites W1985352864 @default.
- W4307042506 cites W1994826374 @default.
- W4307042506 cites W1997147969 @default.
- W4307042506 cites W1998983272 @default.
- W4307042506 cites W2008729738 @default.
- W4307042506 cites W2008896719 @default.
- W4307042506 cites W2009829343 @default.
- W4307042506 cites W2014236294 @default.
- W4307042506 cites W2035017579 @default.
- W4307042506 cites W2036319645 @default.
- W4307042506 cites W2038619339 @default.
- W4307042506 cites W2045868007 @default.
- W4307042506 cites W2052511355 @default.
- W4307042506 cites W2076657383 @default.
- W4307042506 cites W2086251139 @default.
- W4307042506 cites W2087084684 @default.
- W4307042506 cites W2089640432 @default.
- W4307042506 cites W2109790133 @default.
- W4307042506 cites W2119921851 @default.
- W4307042506 cites W2120099124 @default.
- W4307042506 cites W2122412315 @default.
- W4307042506 cites W2160163816 @default.
- W4307042506 cites W2333041090 @default.
- W4307042506 cites W2904103855 @default.
- W4307042506 cites W3081661037 @default.
- W4307042506 cites W3106514400 @default.
- W4307042506 doi "https://doi.org/10.1016/j.cnsns.2022.106971" @default.
- W4307042506 hasPublicationYear "2023" @default.
- W4307042506 type Work @default.
- W4307042506 citedByCount "1" @default.
- W4307042506 countsByYear W43070425062023 @default.
- W4307042506 crossrefType "journal-article" @default.
- W4307042506 hasAuthorship W4307042506A5067082036 @default.
- W4307042506 hasAuthorship W4307042506A5085608480 @default.
- W4307042506 hasBestOaLocation W43070425061 @default.
- W4307042506 hasConcept C101225446 @default.
- W4307042506 hasConcept C121332964 @default.
- W4307042506 hasConcept C134306372 @default.
- W4307042506 hasConcept C155092403 @default.
- W4307042506 hasConcept C158622935 @default.
- W4307042506 hasConcept C172435161 @default.
- W4307042506 hasConcept C174914120 @default.
- W4307042506 hasConcept C190470478 @default.
- W4307042506 hasConcept C22257346 @default.
- W4307042506 hasConcept C2781349735 @default.
- W4307042506 hasConcept C33923547 @default.
- W4307042506 hasConcept C37914503 @default.
- W4307042506 hasConcept C55610538 @default.
- W4307042506 hasConcept C62520636 @default.
- W4307042506 hasConcept C86243350 @default.
- W4307042506 hasConceptScore W4307042506C101225446 @default.
- W4307042506 hasConceptScore W4307042506C121332964 @default.
- W4307042506 hasConceptScore W4307042506C134306372 @default.
- W4307042506 hasConceptScore W4307042506C155092403 @default.
- W4307042506 hasConceptScore W4307042506C158622935 @default.
- W4307042506 hasConceptScore W4307042506C172435161 @default.
- W4307042506 hasConceptScore W4307042506C174914120 @default.
- W4307042506 hasConceptScore W4307042506C190470478 @default.
- W4307042506 hasConceptScore W4307042506C22257346 @default.
- W4307042506 hasConceptScore W4307042506C2781349735 @default.
- W4307042506 hasConceptScore W4307042506C33923547 @default.
- W4307042506 hasConceptScore W4307042506C37914503 @default.
- W4307042506 hasConceptScore W4307042506C55610538 @default.
- W4307042506 hasConceptScore W4307042506C62520636 @default.
- W4307042506 hasConceptScore W4307042506C86243350 @default.
- W4307042506 hasFunder F4320315062 @default.
- W4307042506 hasFunder F4320321505 @default.
- W4307042506 hasFunder F4320323428 @default.
- W4307042506 hasFunder F4320335598 @default.
- W4307042506 hasLocation W43070425061 @default.
- W4307042506 hasLocation W43070425062 @default.
- W4307042506 hasOpenAccess W4307042506 @default.
- W4307042506 hasPrimaryLocation W43070425061 @default.
- W4307042506 hasRelatedWork W1530420675 @default.
- W4307042506 hasRelatedWork W1880931252 @default.
- W4307042506 hasRelatedWork W2021742636 @default.
- W4307042506 hasRelatedWork W2084499748 @default.
- W4307042506 hasRelatedWork W2087757984 @default.
- W4307042506 hasRelatedWork W2111150538 @default.
- W4307042506 hasRelatedWork W2505555007 @default.
- W4307042506 hasRelatedWork W2514803675 @default.
- W4307042506 hasRelatedWork W3023422590 @default.
- W4307042506 hasRelatedWork W4378881054 @default.
- W4307042506 hasVolume "117" @default.
- W4307042506 isParatext "false" @default.
- W4307042506 isRetracted "false" @default.
- W4307042506 workType "article" @default.