Matches in SemOpenAlex for { <https://semopenalex.org/work/W4299368720> ?p ?o ?g. }
Showing items 1 to 72 of
72
with 100 items per page.
- W4299368720 abstract "The theory of cointegration has been a leading theory in econometrics with powerful applications to macroeconomics during the last decades. On the other hand the theory of phase synchronization for weakly coupled complex oscillators has been one of the leading theories in physics for many years with many applications to different areas of science. For example, in neuroscience phase synchronization is regarded as essential for functional coupling of different brain regions. In an abstract sense both theories describe the dynamic fluctuation around some equilibrium. In this paper, we point out that there exists a very close connection between both theories. Apart from phase jumps, a stochastic version of the Kuramoto equations can be approximated by a cointegrated system of difference equations. As one consequence, the rich theory on statistical inference for cointegrated systems can immediately be applied for statistical inference on phase synchronization based on empirical data. This includes tests for phase synchronization, tests for unidirectional coupling and the identification of the equilibrium from data including phase shifts. We study two examples on a unidirectionally coupled Rossler-Lorenz system and on electrochemical oscillators. The methods from cointegration may also be used to investigate phase synchronization in complex networks. Conversely, there are many interesting results on phase synchronization which may inspire new research on cointegration." @default.
- W4299368720 created "2022-10-02" @default.
- W4299368720 creator A5034330319 @default.
- W4299368720 creator A5062844864 @default.
- W4299368720 creator A5082091130 @default.
- W4299368720 date "2012-01-03" @default.
- W4299368720 modified "2023-09-30" @default.
- W4299368720 title "On the relationship between the theory of cointegration and the theory of phase synchronization" @default.
- W4299368720 doi "https://doi.org/10.48550/arxiv.1201.0651" @default.
- W4299368720 hasPublicationYear "2012" @default.
- W4299368720 type Work @default.
- W4299368720 citedByCount "0" @default.
- W4299368720 crossrefType "posted-content" @default.
- W4299368720 hasAuthorship W4299368720A5034330319 @default.
- W4299368720 hasAuthorship W4299368720A5062844864 @default.
- W4299368720 hasAuthorship W4299368720A5082091130 @default.
- W4299368720 hasBestOaLocation W42993687201 @default.
- W4299368720 hasConcept C105795698 @default.
- W4299368720 hasConcept C121332964 @default.
- W4299368720 hasConcept C121864883 @default.
- W4299368720 hasConcept C127162648 @default.
- W4299368720 hasConcept C127413603 @default.
- W4299368720 hasConcept C131584629 @default.
- W4299368720 hasConcept C134261354 @default.
- W4299368720 hasConcept C145162277 @default.
- W4299368720 hasConcept C149782125 @default.
- W4299368720 hasConcept C154945302 @default.
- W4299368720 hasConcept C194027367 @default.
- W4299368720 hasConcept C2776214188 @default.
- W4299368720 hasConcept C2778562939 @default.
- W4299368720 hasConcept C31258907 @default.
- W4299368720 hasConcept C33923547 @default.
- W4299368720 hasConcept C41008148 @default.
- W4299368720 hasConcept C44280652 @default.
- W4299368720 hasConcept C62520636 @default.
- W4299368720 hasConcept C78519656 @default.
- W4299368720 hasConceptScore W4299368720C105795698 @default.
- W4299368720 hasConceptScore W4299368720C121332964 @default.
- W4299368720 hasConceptScore W4299368720C121864883 @default.
- W4299368720 hasConceptScore W4299368720C127162648 @default.
- W4299368720 hasConceptScore W4299368720C127413603 @default.
- W4299368720 hasConceptScore W4299368720C131584629 @default.
- W4299368720 hasConceptScore W4299368720C134261354 @default.
- W4299368720 hasConceptScore W4299368720C145162277 @default.
- W4299368720 hasConceptScore W4299368720C149782125 @default.
- W4299368720 hasConceptScore W4299368720C154945302 @default.
- W4299368720 hasConceptScore W4299368720C194027367 @default.
- W4299368720 hasConceptScore W4299368720C2776214188 @default.
- W4299368720 hasConceptScore W4299368720C2778562939 @default.
- W4299368720 hasConceptScore W4299368720C31258907 @default.
- W4299368720 hasConceptScore W4299368720C33923547 @default.
- W4299368720 hasConceptScore W4299368720C41008148 @default.
- W4299368720 hasConceptScore W4299368720C44280652 @default.
- W4299368720 hasConceptScore W4299368720C62520636 @default.
- W4299368720 hasConceptScore W4299368720C78519656 @default.
- W4299368720 hasLocation W42993687201 @default.
- W4299368720 hasLocation W42993687202 @default.
- W4299368720 hasOpenAccess W4299368720 @default.
- W4299368720 hasPrimaryLocation W42993687201 @default.
- W4299368720 hasRelatedWork W1973255597 @default.
- W4299368720 hasRelatedWork W1999379643 @default.
- W4299368720 hasRelatedWork W2011726050 @default.
- W4299368720 hasRelatedWork W2086574665 @default.
- W4299368720 hasRelatedWork W2149687220 @default.
- W4299368720 hasRelatedWork W2241519294 @default.
- W4299368720 hasRelatedWork W2410472643 @default.
- W4299368720 hasRelatedWork W2513729783 @default.
- W4299368720 hasRelatedWork W2964056371 @default.
- W4299368720 hasRelatedWork W4299368720 @default.
- W4299368720 isParatext "false" @default.
- W4299368720 isRetracted "false" @default.
- W4299368720 workType "article" @default.