Observation of the concurrent creation and annihilation of periodic orbits in a nonlinear RLC circuit

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dc.contributor.author Newell, Timothy en_US
dc.contributor.author Kovanis, Vassilios en_US
dc.contributor.author Gavrielides, Athanasios en_US
dc.contributor.author Bennett, P. en_US
dc.date.accessioned 2007-09-27T08:48:46Z en_US
dc.date.available 2007-09-27T08:48:46Z en_US
dc.date.issued 1996-10 en_US
dc.identifier.citation Physical Review E 54N4 (1996) 3581-3590 en_US
dc.identifier.issn 1539-3755 en_US
dc.identifier.uri http://hdl.handle.net/1850/4904 en_US
dc.description.abstract We have numerically investigated and experimentally demonstrated the presence of antimonotonicity: the concurrent creation and destruction of periodic orbits in a driven nonlinear RLC circuit. A simple manifestation of antimonotonicity is the formation of dimples in a high iterate return map. The evolution of such dimples allows for both contact making and contact breaking homoclinic tangencies of the stable and unstable manifolds. Both numerical and experimental return maps unequivocally exhibit the formation of such dimples. The experimental time series were captured using a 16-bit resolution digitizer allowing for a faithful computation of the high iterate return maps. en_US
dc.description.sponsorship The authors would like to thank Celso Grebogi and Ying-Chen Lai for encouragement through the course of this work and helpful discussions. Also we with to thank R. Kalmus and R. Marquez for technical assistance. Additionally T.C.N. would like to thank the National Research Council for supporting this work. en_US
dc.language.iso en_US en_US
dc.publisher American Physical Society en_US
dc.relation.ispartofseries vol. 54 en_US
dc.relation.ispartofseries no. 4 en_US
dc.title Observation of the concurrent creation and annihilation of periodic orbits in a nonlinear RLC circuit en_US
dc.type Article en_US
dc.identifier.url http://dx.doi.org/10.1103/PhysRevE.54.3581

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