Nonlinear Analysis of Ring Oscillator and Cross-Coupled Oscillator Circuits

Handle URI:
http://hdl.handle.net/10754/247352
Title:
Nonlinear Analysis of Ring Oscillator and Cross-Coupled Oscillator Circuits
Authors:
Ge, Xiaoqing; Arcak, Murat; Salama, Khaled N. ( 0000-0001-7742-1282 )
Abstract:
Hassan Khalil’s research results and beautifully written textbook on nonlinear systems have influenced generations of researchers, including the authors of this paper. Using nonlinear systems techniques, this paper analyzes ring oscillator and cross-coupled oscillator circuits, which are essential building blocks in digital systems. The paper first investigates local and global stability properties of an n-stage ring oscillator by making use of its cyclic structure. It next studies global stability properties of a class of cross-coupled oscillators which admit the representation of a dynamic system in feedback with a static nonlinearity, and presents su cient conditions for almost global convergence of the solutions to a limit cycle when the feedback gain is in the vicinity of a bifurcation point. The result are also extended to the synchronization of interconnected identical oscillator circuits.
KAUST Department:
Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division; Sensors Lab
Publisher:
watam.org
Journal:
Dynamics of Continuous, Discrete and Impulsive Systems Series B: Applications and Algorithms
Issue Date:
Dec-2010
Type:
Article
ISSN:
1918-2538
Additional Links:
http://online.watsci.org/abstract_pdf/2010v17/v17n6b-pdf/8.pdf
Appears in Collections:
Articles; Sensors Lab; Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division

Full metadata record

DC FieldValue Language
dc.contributor.authorGe, Xiaoqingen
dc.contributor.authorArcak, Muraten
dc.contributor.authorSalama, Khaled N.en
dc.date.accessioned2012-10-06T19:59:28Zen
dc.date.available2012-10-06T19:59:28Zen
dc.date.issued2010-12en
dc.identifier.issn1918-2538en
dc.identifier.urihttp://hdl.handle.net/10754/247352en
dc.description.abstractHassan Khalil’s research results and beautifully written textbook on nonlinear systems have influenced generations of researchers, including the authors of this paper. Using nonlinear systems techniques, this paper analyzes ring oscillator and cross-coupled oscillator circuits, which are essential building blocks in digital systems. The paper first investigates local and global stability properties of an n-stage ring oscillator by making use of its cyclic structure. It next studies global stability properties of a class of cross-coupled oscillators which admit the representation of a dynamic system in feedback with a static nonlinearity, and presents su cient conditions for almost global convergence of the solutions to a limit cycle when the feedback gain is in the vicinity of a bifurcation point. The result are also extended to the synchronization of interconnected identical oscillator circuits.en
dc.language.isoenen
dc.publisherwatam.orgen
dc.relation.urlhttp://online.watsci.org/abstract_pdf/2010v17/v17n6b-pdf/8.pdfen
dc.titleNonlinear Analysis of Ring Oscillator and Cross-Coupled Oscillator Circuitsen
dc.typeArticleen
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Divisionen
dc.contributor.departmentSensors Laben
dc.identifier.journalDynamics of Continuous, Discrete and Impulsive Systems Series B: Applications and Algorithmsen
dc.eprint.versionPost-printen
dc.contributor.institutionDepartment of Engineering Mathematics, Faculty of Engineering, Cairo University, Egypten
dc.contributor.affiliationKing Abdullah University of Science and Technology (KAUST)en
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