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Keywords: integro-differential equations
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Journal Articles

Unified Galerkin- and DAE-Based Approximation of Fractional Order Systems

Satwinder Jit Singh, Anindya Chatterjee
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research Papers
J. Comput. Nonlinear Dynam. April 2011, 6(2): 021010.
https://doi.org/10.1115/1.4002516
Published Online: October 28, 2010
... equations Galerkin method integro-differential equations nonlinear equations numerical analysis 15 09 2009 18 08 2010 28 10 2010 28 10 2010 Remark 8. The DAE system approximates the original dynamic system and not just a specific solution. Beyond direct numerical solution...
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Topics: Approximation, Stability, Differential algebraic equations, Galerkin method
Journal Articles

Increased Stability of Low-Speed Turning Through a Distributed Force and Continuous Delay Model

Firas A. Khasawneh, Brian P. Mann, Tamás Insperger, Gabor Stépán
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research Papers
J. Comput. Nonlinear Dynam. October 2009, 4(4): 041003.
https://doi.org/10.1115/1.3187153
Published Online: August 24, 2009
... 24 08 2009 cutting finite element analysis integro-differential equations machine tools turning (machining) vibrations continuous delay distributed delay process damping stability temporal finite elements analysis time delay turning The relative vibrations between...
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Topics: Cutting, Delays, Stability, Turning, Damping
Journal Articles

Parametric Resonance of Hopf Bifurcation in a Generalized Beck’s Column

Achille Paolone, Francesco Romeo, Marcello Vasta
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research Papers
J. Comput. Nonlinear Dynam. January 2009, 4(1): 011003.
https://doi.org/10.1115/1.3007905
Published Online: November 11, 2008
... stable period-2 subharmonic motion is observed. 25 07 2007 26 03 2008 11 11 2008 bifurcation boundary-value problems integro-differential equations nonlinear equations perturbation theory The dynamic analysis of thin wall beams, commonly encountered in civil...
View Article titled, Parametric Resonance of Hopf Bifurcation in a Generalized Beck’s Column
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Topics: Bifurcation, Resonance, Boundary-value problems
Journal Articles

Microelectronic Implementations of Fractional-Order Integrodifferential Operators

Guillermo E. Santamaría, José V. Valverde, Raquel Pérez-Aloe, Blas M. Vinagre
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research Papers
J. Comput. Nonlinear Dynam. January 2008, 3(2): 021301.
https://doi.org/10.1115/1.2833907
Published Online: February 4, 2008
... programmable analogue arrays field programmable gate arrays integrated circuits integro-differential equations switched capacitor networks transfer functions fractional order operator field programmable gate array field programmable analog array switched capacitor active filter...
View Article titled, Microelectronic Implementations of Fractional-Order Integrodifferential Operators
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Topics: Capacitors, Circuits, Design, Gates (Closures), Transfer functions, Microelectronic devices, Poles (Building), Approximation