Matches in SemOpenAlex for { <https://semopenalex.org/work/W2014707911> ?p ?o ?g. }
Showing items 1 to 69 of
69
with 100 items per page.
- W2014707911 abstract "Asymptotical behavior of canonical mappings near the separatrix of Hamiltonian systems subjected to time-periodic perturbations is studied. Based on general forms of these mappings [S. S. Abdullaev, Phys. Rev. E 70, 046202 (2004)] it is shown that the Melnikov-type integrals determining their generating functions can be presented as a sum of regular, ${R}^{(mathit{reg})}(h)$, and oscillatory, ${R}^{(mathit{osc})}(h)$, parts. General asymptotical formulas for ${R}^{(mathit{osc})}(h)$ are derived. The oscillatory parts have zeros at primary resonant values of energy. Conditions are found at which the oscillatory parts, ${R}^{(mathit{osc})}(h)$, can be neglected in the generating functions thus allowing us to obtain simplified mappings depending only the regular parts ${R}^{(mathit{reg})}(h)$. Since the latter are smooth functions of energy $h$ this allows us also to justify the widely used conventional separatrix mapping determined by ${R}^{(mathit{reg})}(h)$ at the separatrix $h=0$. A theory is illustrated for a specific example of a Hamiltonian system, a particle dynamics in periodically perturbed double-well potential." @default.
- W2014707911 created "2016-06-24" @default.
- W2014707911 creator A5049445531 @default.
- W2014707911 date "2005-10-04" @default.
- W2014707911 modified "2023-09-25" @default.
- W2014707911 title "Asymptotical forms of canonical mappings near separatrix of Hamiltonian systems" @default.
- W2014707911 cites W1496798092 @default.
- W2014707911 cites W1972464233 @default.
- W2014707911 cites W2026333589 @default.
- W2014707911 cites W2031923050 @default.
- W2014707911 cites W2033649947 @default.
- W2014707911 cites W2045873905 @default.
- W2014707911 cites W2059786425 @default.
- W2014707911 cites W2060043238 @default.
- W2014707911 cites W2160163816 @default.
- W2014707911 doi "https://doi.org/10.1103/physreve.72.046202" @default.
- W2014707911 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/16383507" @default.
- W2014707911 hasPublicationYear "2005" @default.
- W2014707911 type Work @default.
- W2014707911 sameAs 2014707911 @default.
- W2014707911 citedByCount "9" @default.
- W2014707911 countsByYear W20147079112012 @default.
- W2014707911 countsByYear W20147079112014 @default.
- W2014707911 countsByYear W20147079112016 @default.
- W2014707911 crossrefType "journal-article" @default.
- W2014707911 hasAuthorship W2014707911A5049445531 @default.
- W2014707911 hasBestOaLocation W20147079112 @default.
- W2014707911 hasConcept C121332964 @default.
- W2014707911 hasConcept C121770821 @default.
- W2014707911 hasConcept C126255220 @default.
- W2014707911 hasConcept C130787639 @default.
- W2014707911 hasConcept C202444582 @default.
- W2014707911 hasConcept C33923547 @default.
- W2014707911 hasConcept C37914503 @default.
- W2014707911 hasConcept C62520636 @default.
- W2014707911 hasConcept C76379757 @default.
- W2014707911 hasConcept C82706917 @default.
- W2014707911 hasConceptScore W2014707911C121332964 @default.
- W2014707911 hasConceptScore W2014707911C121770821 @default.
- W2014707911 hasConceptScore W2014707911C126255220 @default.
- W2014707911 hasConceptScore W2014707911C130787639 @default.
- W2014707911 hasConceptScore W2014707911C202444582 @default.
- W2014707911 hasConceptScore W2014707911C33923547 @default.
- W2014707911 hasConceptScore W2014707911C37914503 @default.
- W2014707911 hasConceptScore W2014707911C62520636 @default.
- W2014707911 hasConceptScore W2014707911C76379757 @default.
- W2014707911 hasConceptScore W2014707911C82706917 @default.
- W2014707911 hasIssue "4" @default.
- W2014707911 hasLocation W20147079111 @default.
- W2014707911 hasLocation W20147079112 @default.
- W2014707911 hasLocation W20147079113 @default.
- W2014707911 hasLocation W20147079114 @default.
- W2014707911 hasOpenAccess W2014707911 @default.
- W2014707911 hasPrimaryLocation W20147079111 @default.
- W2014707911 hasRelatedWork W1989001262 @default.
- W2014707911 hasRelatedWork W2014707911 @default.
- W2014707911 hasRelatedWork W2049051909 @default.
- W2014707911 hasRelatedWork W2130911963 @default.
- W2014707911 hasRelatedWork W2144122507 @default.
- W2014707911 hasRelatedWork W2168934543 @default.
- W2014707911 hasRelatedWork W2340671334 @default.
- W2014707911 hasRelatedWork W2758116776 @default.
- W2014707911 hasRelatedWork W3099699692 @default.
- W2014707911 hasRelatedWork W3165633013 @default.
- W2014707911 hasVolume "72" @default.
- W2014707911 isParatext "false" @default.
- W2014707911 isRetracted "false" @default.
- W2014707911 magId "2014707911" @default.
- W2014707911 workType "article" @default.