{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,8,11]],"date-time":"2023-08-11T04:41:48Z","timestamp":1691728908325},"reference-count":18,"publisher":"World Scientific Pub Co Pte Lt","issue":"12","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2015,11]]},"abstract":"<jats:p> Synchronization is a common phenomenon whereby a dynamical system follows the pacemaker provided by an external forcing. Often, such systems have multiple synchronization modes, which are equivalent solutions. We investigate the specific case of two to one synchronization produced by the periodic forcing of a van der Pol oscillator where two possible modes, shifted by one period of the modulation, exist. By studying the flow and the local Lyapunov exponents along the orbit we give an explanation of the noise induced jumps observed in a stochastic forced oscillator. While this investigation gives results that are specific to this system, the framework presented is more general and can be applied to any system showing similar jumping dynamics. <\/jats:p>","DOI":"10.1142\/s0218127415300347","type":"journal-article","created":{"date-parts":[[2015,12,3]],"date-time":"2015-12-03T01:30:18Z","timestamp":1449106218000},"page":"1530034","source":"Crossref","is-referenced-by-count":2,"title":["Noise Induced Jumping Dynamics Between Synchronized Modes"],"prefix":"10.1142","volume":"25","author":[{"given":"Shannon D.","family":"Algar","sequence":"first","affiliation":[{"name":"School of Mathematics and Statistics, The University of Western Australia, 35 Stirling Highway, Crawley, WA 6009, Australia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Thomas","family":"Stemler","sequence":"additional","affiliation":[{"name":"School of Mathematics and Statistics, The University of Western Australia, 35 Stirling Highway, Crawley, WA 6009, Australia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Bernard","family":"De Saedeleer","sequence":"additional","affiliation":[{"name":"Georges Lema\u00eetre Centre for Earth and Climate Research, Universit\u00e9 Catholique de Louvain, L4.03.08 MERCATOR Place Louis Pasteur, 3, B-1348, Louvain-la-Neuve, Belgium"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2015,12,2]]},"reference":[{"key":"S0218127415300347BIB1","doi-asserted-by":"publisher","DOI":"10.1007\/s00382-012-1316-1"},{"key":"S0218127415300347BIB2","doi-asserted-by":"publisher","DOI":"10.1103\/RevModPhys.70.223"},{"key":"S0218127415300347BIB3","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.88.038501"},{"key":"S0218127415300347BIB4","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-662-05389-8"},{"key":"S0218127415300347BIB5","volume-title":"Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields","author":"Guckenheimer J.","year":"2002"},{"key":"S0218127415300347BIB6","doi-asserted-by":"publisher","DOI":"10.1111\/j.2153-3490.1976.tb00696.x"},{"key":"S0218127415300347BIB7","doi-asserted-by":"publisher","DOI":"10.1126\/science.194.4270.1121"},{"key":"S0218127415300347BIB9","doi-asserted-by":"publisher","DOI":"10.1016\/S0031-8914(40)90098-2"},{"key":"S0218127415300347BIB10","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.68.061101"},{"key":"S0218127415300347BIB11","volume-title":"Canon of Insolation and the Ice Age Problem","author":"Milankovitch","year":"1998"},{"key":"S0218127415300347BIB12","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.78.775"},{"key":"S0218127415300347BIB13","series-title":"Cambridge Nonlinear Science Series 12","doi-asserted-by":"crossref","DOI":"10.1007\/978-94-010-0217-2","volume-title":"Synchronization: A Universal Concept in Nonlinear Sciences","author":"Pikovsky A. 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