Matches in SemOpenAlex for { <https://semopenalex.org/work/W2034910168> ?p ?o ?g. }
- W2034910168 abstract "An analytical investigation of nonstationary processes in a Duffing oscillator subject to biharmonic forcing, under conditions of primary resonance, is carried out. The earlier developed methodology of limiting phase trajectories (LPTs) for studying highly nonstationary regimes, characterized by intense energy exchanges between the different degrees of freedom, is successfully applied to the system under investigation. Two distinct types of LPT trajectories are described in the first part of the study. Conditions for the recurrent transitions in time from one type of LPT to another were derived in the first part of the analysis corresponding to the undamped case. An approximation of the LPT related to the higher amplitude of oscillations was derived using nonsmooth transformations. An analysis carried out in the study has revealed the necessary and sufficient conditions for excitation of relaxation oscillations exhibited by a lightly damped system. It was also demonstrated that the mechanism of relaxations may be approximated and explained by the methodology of LPTs, characterized by strong energy exchanges between the coupled oscillators or, alternatively, a single oscillator and an external source of energy. The results of analytical approximations and numerical simulations are observed to be in quite satisfactory agreement." @default.
- W2034910168 created "2016-06-24" @default.
- W2034910168 creator A5004501854 @default.
- W2034910168 creator A5011732720 @default.
- W2034910168 date "2011-04-19" @default.
- W2034910168 modified "2023-09-26" @default.
- W2034910168 title "Nonstationary regimes in a Duffing oscillator subject to biharmonic forcing near a primary resonance" @default.
- W2034910168 cites W1608234917 @default.
- W2034910168 cites W1965225133 @default.
- W2034910168 cites W1967656727 @default.
- W2034910168 cites W1975629949 @default.
- W2034910168 cites W1976673680 @default.
- W2034910168 cites W1989475585 @default.
- W2034910168 cites W1992498056 @default.
- W2034910168 cites W1993002538 @default.
- W2034910168 cites W1994520917 @default.
- W2034910168 cites W1995506167 @default.
- W2034910168 cites W1998314094 @default.
- W2034910168 cites W1999776527 @default.
- W2034910168 cites W2006518334 @default.
- W2034910168 cites W2012528742 @default.
- W2034910168 cites W2013512130 @default.
- W2034910168 cites W2020906290 @default.
- W2034910168 cites W2055203486 @default.
- W2034910168 cites W2056276609 @default.
- W2034910168 cites W2059748349 @default.
- W2034910168 cites W2064049208 @default.
- W2034910168 cites W2069927145 @default.
- W2034910168 cites W2072620149 @default.
- W2034910168 cites W2083225799 @default.
- W2034910168 cites W2093823001 @default.
- W2034910168 cites W2093935236 @default.
- W2034910168 cites W2100378730 @default.
- W2034910168 cites W2103267907 @default.
- W2034910168 cites W2132376096 @default.
- W2034910168 cites W2973869319 @default.
- W2034910168 cites W416828310 @default.
- W2034910168 cites W4249594126 @default.
- W2034910168 cites W4250118390 @default.
- W2034910168 doi "https://doi.org/10.1103/physreve.83.046211" @default.
- W2034910168 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/21599274" @default.
- W2034910168 hasPublicationYear "2011" @default.
- W2034910168 type Work @default.
- W2034910168 sameAs 2034910168 @default.
- W2034910168 citedByCount "16" @default.
- W2034910168 countsByYear W20349101682012 @default.
- W2034910168 countsByYear W20349101682013 @default.
- W2034910168 countsByYear W20349101682015 @default.
- W2034910168 countsByYear W20349101682016 @default.
- W2034910168 countsByYear W20349101682017 @default.
- W2034910168 countsByYear W20349101682018 @default.
- W2034910168 countsByYear W20349101682022 @default.
- W2034910168 crossrefType "journal-article" @default.
- W2034910168 hasAuthorship W2034910168A5004501854 @default.
- W2034910168 hasAuthorship W2034910168A5011732720 @default.
- W2034910168 hasConcept C121332964 @default.
- W2034910168 hasConcept C132323500 @default.
- W2034910168 hasConcept C134306372 @default.
- W2034910168 hasConcept C139210041 @default.
- W2034910168 hasConcept C145784156 @default.
- W2034910168 hasConcept C15744967 @default.
- W2034910168 hasConcept C158622935 @default.
- W2034910168 hasConcept C180205008 @default.
- W2034910168 hasConcept C182310444 @default.
- W2034910168 hasConcept C186370098 @default.
- W2034910168 hasConcept C197115733 @default.
- W2034910168 hasConcept C208081375 @default.
- W2034910168 hasConcept C2776029896 @default.
- W2034910168 hasConcept C33923547 @default.
- W2034910168 hasConcept C62520636 @default.
- W2034910168 hasConcept C74650414 @default.
- W2034910168 hasConcept C77805123 @default.
- W2034910168 hasConcept C83581075 @default.
- W2034910168 hasConceptScore W2034910168C121332964 @default.
- W2034910168 hasConceptScore W2034910168C132323500 @default.
- W2034910168 hasConceptScore W2034910168C134306372 @default.
- W2034910168 hasConceptScore W2034910168C139210041 @default.
- W2034910168 hasConceptScore W2034910168C145784156 @default.
- W2034910168 hasConceptScore W2034910168C15744967 @default.
- W2034910168 hasConceptScore W2034910168C158622935 @default.
- W2034910168 hasConceptScore W2034910168C180205008 @default.
- W2034910168 hasConceptScore W2034910168C182310444 @default.
- W2034910168 hasConceptScore W2034910168C186370098 @default.
- W2034910168 hasConceptScore W2034910168C197115733 @default.
- W2034910168 hasConceptScore W2034910168C208081375 @default.
- W2034910168 hasConceptScore W2034910168C2776029896 @default.
- W2034910168 hasConceptScore W2034910168C33923547 @default.
- W2034910168 hasConceptScore W2034910168C62520636 @default.
- W2034910168 hasConceptScore W2034910168C74650414 @default.
- W2034910168 hasConceptScore W2034910168C77805123 @default.
- W2034910168 hasConceptScore W2034910168C83581075 @default.
- W2034910168 hasIssue "4" @default.
- W2034910168 hasLocation W20349101681 @default.
- W2034910168 hasLocation W20349101682 @default.
- W2034910168 hasOpenAccess W2034910168 @default.
- W2034910168 hasPrimaryLocation W20349101681 @default.
- W2034910168 hasRelatedWork W1504804614 @default.
- W2034910168 hasRelatedWork W1967676202 @default.
- W2034910168 hasRelatedWork W2012359720 @default.
- W2034910168 hasRelatedWork W2034910168 @default.