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Journal Articles

Data Driven Approach to Determine Linear Stability of Delay Differential Equations Using Orthonormal History Functions

Sankalp Tiwari, Junaidvali Shaik, C. P. Vyasarayani

Publisher: ASME

J. Comput. Nonlinear Dynam. February 2024, 19(2): 021002.

Paper No: CND-23-1182

https://doi.org/10.1115/1.4064251

Published Online: December 20, 2023

View Article titled, Data Driven Approach to Determine Linear Stability of Delay Differential Equations Using Orthonormal History Functions

Topics: Delay differential equations, Delays, Stability, Noise (Sound)

Journal Articles

Floquet Theory for Linear Time-Periodic Delay Differential Equations Using Orthonormal History Functions

Junaidvali Shaik, Sankalp Tiwari, C. P. Vyasarayani

Publisher: ASME

J. Comput. Nonlinear Dynam. September 2023, 18(9): 091005.

Paper No: CND-23-1017

https://doi.org/10.1115/1.4062633

Published Online: June 14, 2023

View Article titled, Floquet Theory for Linear Time-Periodic Delay Differential Equations Using Orthonormal History Functions

Topics: Delay differential equations, Delays, Stability, Galerkin method

Journal Articles

Pole Placement for Delay Differential Equations With Time-Periodic Delays Using Galerkin Approximations

Shanti Swaroop Kandala, Thomas K. Uchida, C. P. Vyasarayani

Publisher: ASME

J. Comput. Nonlinear Dynam. September 2021, 16(9): 091007.

Paper No: CND-20-1378

https://doi.org/10.1115/1.4051590

Published Online: July 27, 2021

View Article titled, Pole Placement for Delay Differential Equations With Time-Periodic Delays Using Galerkin Approximations

Topics: Delay differential equations, Delays, Galerkin method, Pendulums, Stability, Pole placement, Feedback, Optimization, Time delay systems

Journal Articles

Fast Generation of Stability Charts for Time-Delay Systems Using Continuation of Characteristic Roots

Surya Samukham, Thomas K. Uchida, C. P. Vyasarayani

Publisher: ASME

J. Comput. Nonlinear Dynam. November 2020, 15(11): 111008.

Paper No: CND-20-1250

https://doi.org/10.1115/1.4048362

Published Online: September 28, 2020

View Article titled, Fast Generation of Stability Charts for Time-Delay Systems Using Continuation of Characteristic Roots

Topics: Stability, Time delay systems, Delays, Delay differential equations

Journal Articles

Modification of the Infinite-Dimensional Neutral-Type Time-Delay Dynamic Model for the Coupled Axial–Torsional Vibrations in Drill Strings With a Drag Bit

Shabnam Tashakori, Gholamreza Vossoughi, Hassan Zohoor, Ehsan Azadi Yazdi

Publisher: ASME

J. Comput. Nonlinear Dynam. August 2020, 15(8): 081006.

Paper No: CND-18-1336

https://doi.org/10.1115/1.4043147

Published Online: June 23, 2020

View Article titled, Modification of the Infinite-Dimensional Neutral-Type Time-Delay Dynamic Model for the Coupled Axial–Torsional Vibrations in Drill Strings With a Drag Bit

Topics: Cutting, Delays, Drag (Fluid dynamics), Drill strings, Dynamic models, Rocks, Vibration, Simulation results, Dynamics (Mechanics), Delay differential equations

Journal Articles

An Extended Predictor–Corrector Algorithm for Variable-Order Fractional Delay Differential Equations

B. Parsa Moghaddam, Sh. Yaghoobi, J. A. Tenreiro Machado

Publisher: ASME

J. Comput. Nonlinear Dynam. November 2016, 11(6): 061001.

Paper No: CND-15-1270

https://doi.org/10.1115/1.4032574

Published Online: June 20, 2016

View Article titled, An Extended Predictor–Corrector Algorithm for Variable-Order Fractional Delay Differential Equations

Topics: Algorithms, Delay differential equations, Numerical analysis, Time delay systems

Journal Articles

Galerkin Approximations for Stability of Delay Differential Equations With Distributed Delays

Anwar Sadath, C. P. Vyasarayani

Publisher: ASME

J. Comput. Nonlinear Dynam. November 2015, 10(6): 061024.

Paper No: CND-14-1269

https://doi.org/10.1115/1.4030153

Published Online: November 1, 2015

View Article titled, Galerkin Approximations for Stability of Delay Differential Equations With Distributed Delays

Topics: Galerkin method, Stability, Delays, Delay differential equations

Journal Articles

Galerkin Approximations for Stability of Delay Differential Equations With Time Periodic Delays

Anwar Sadath, C. P. Vyasarayani

Publisher: ASME

J. Comput. Nonlinear Dynam. November 2015, 10(6): 061008.

Paper No: CND-14-1124

https://doi.org/10.1115/1.4028631

Published Online: November 1, 2015

View Article titled, Galerkin Approximations for Stability of Delay Differential Equations With Time Periodic Delays

Topics: Delay differential equations, Delays, Galerkin method, Stability

Journal Articles

Galerkin Approximations for Stability of Delay Differential Equations With Time Periodic Coefficients

Anwar Sadath, C. P. Vyasarayani

Publisher: ASME

J. Comput. Nonlinear Dynam. March 2015, 10(2): 021011.

Paper No: CND-13-1298

https://doi.org/10.1115/1.4026989

Published Online: March 1, 2015

View Article titled, Galerkin Approximations for Stability of Delay Differential Equations With Time Periodic Coefficients

Topics: Delays, Feedback, Galerkin method, Stability, Delay differential equations, Computer simulation

Journal Articles

On the Approximation of Delayed Systems by Taylor Series Expansion

Tamas Insperger

Publisher: ASME

J. Comput. Nonlinear Dynam. March 2015, 10(2): 024503.

Paper No: CND-13-1331

https://doi.org/10.1115/1.4027180

Published Online: March 1, 2015

View Article titled, On the Approximation of Delayed Systems by Taylor Series Expansion

Topics: Approximation, Delays, Stability, Delay differential equations

Journal Articles

The Use of Generalized Laguerre Polynomials in Spectral Methods for Solving Fractional Delay Differential Equations

M. M. Khader

Publisher: ASME

J. Comput. Nonlinear Dynam. October 2013, 8(4): 041018.

Paper No: CND-12-1130

https://doi.org/10.1115/1.4024852

Published Online: July 18, 2013

View Article titled, The Use of Generalized Laguerre Polynomials in Spectral Methods for Solving Fractional Delay Differential Equations

Topics: Delay differential equations, Polynomials

Journal Articles

Galerkin Approximations for Neutral Delay Differential Equations

C. P. Vyasarayani

Publisher: ASME

J. Comput. Nonlinear Dynam. April 2013, 8(2): 021014.

Paper No: CND-12-1001

https://doi.org/10.1115/1.4007446

Published Online: October 1, 2012

View Article titled, Galerkin Approximations for Neutral Delay Differential Equations

Topics: Delay differential equations, Galerkin method, Scalars

Journal Articles

Response and Stability Analysis of Periodic Delayed Systems With Discontinuous Distributed Delay

Oleg A. Bobrenkov, Morad Nazari, Eric A. Butcher

Publisher: ASME

J. Comput. Nonlinear Dynam. July 2012, 7(3): 031010.

https://doi.org/10.1115/1.4005925

Published Online: April 3, 2012

View Article titled, Response and Stability Analysis of Periodic Delayed Systems With Discontinuous Distributed Delay

Topics: Delays, Polynomials, Stability, Delay differential equations

Journal Articles

Galerkin Approximations for Higher Order Delay Differential Equations

C. P. Vyasarayani

Publisher: ASME

J. Comput. Nonlinear Dynam. July 2012, 7(3): 031004.

https://doi.org/10.1115/1.4005931

Published Online: March 19, 2012

View Article titled, Galerkin Approximations for Higher Order Delay Differential Equations

Topics: Delay differential equations, Galerkin method

Journal Articles

Analytic Bounds for Instability Regions in Periodic Systems With Delay via Meissner’s Equation

Eric A. Butcher, Brian P. Mann

Publisher: ASME

J. Comput. Nonlinear Dynam. January 2012, 7(1): 011004.

https://doi.org/10.1115/1.4004468

Published Online: August 9, 2011

View Article titled, Analytic Bounds for Instability Regions in Periodic Systems With Delay via Meissner’s Equation

Topics: Approximation, Cutting, Delays, Eigenvalues, Feedback, Milling, Stability, Numerical stability, Delay differential equations, Degrees of freedom

Journal Articles

Analysis of the Chatter Instability in a Nonlinear Model for Drilling

Sue Ann Campbell, Emily Stone

Publisher: ASME

J. Comput. Nonlinear Dynam. October 2006, 1(4): 294–306.

https://doi.org/10.1115/1.2338648

Published Online: April 20, 2006

View Article titled, Analysis of the Chatter Instability in a Nonlinear Model for Drilling

Topics: Bifurcation, Chatter, Cutting, Drilling, Stability, Vibration, Delay differential equations

Journal citation

NARROW

Data Driven Approach to Determine Linear Stability of Delay Differential Equations Using Orthonormal History Functions

Floquet Theory for Linear Time-Periodic Delay Differential Equations Using Orthonormal History Functions

Pole Placement for Delay Differential Equations With Time-Periodic Delays Using Galerkin Approximations

Fast Generation of Stability Charts for Time-Delay Systems Using Continuation of Characteristic Roots

Modification of the Infinite-Dimensional Neutral-Type Time-Delay Dynamic Model for the Coupled Axial–Torsional Vibrations in Drill Strings With a Drag Bit

An Extended Predictor–Corrector Algorithm for Variable-Order Fractional Delay Differential Equations

Galerkin Approximations for Stability of Delay Differential Equations With Distributed Delays

Galerkin Approximations for Stability of Delay Differential Equations With Time Periodic Delays

Galerkin Approximations for Stability of Delay Differential Equations With Time Periodic Coefficients

On the Approximation of Delayed Systems by Taylor Series Expansion

The Use of Generalized Laguerre Polynomials in Spectral Methods for Solving Fractional Delay Differential Equations

Galerkin Approximations for Neutral Delay Differential Equations

Response and Stability Analysis of Periodic Delayed Systems With Discontinuous Distributed Delay

Galerkin Approximations for Higher Order Delay Differential Equations

Analytic Bounds for Instability Regions in Periodic Systems With Delay via Meissner’s Equation

Analysis of the Chatter Instability in a Nonlinear Model for Drilling

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