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Backbone curves, Neimark-Sacker boundaries and appearance of quasi-periodicity in nonlinear oscillators: application to 1:2 internal resonance and frequency combs in MEMS

Meccanica (Milan), 2021-08, Vol.56 (8), p.1937-1969

2021

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Parameter identification of a physical model of brass instruments by constrained continuation

Acta acustica, 2022, Vol.6, p.9

2022

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A high order purely frequency-based harmonic balance formulation for continuation of periodic solutions

Journal of sound and vibration, 2009-07, Vol.324 (1), p.243-262

2009

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A Taylor series-based continuation method for solutions of dynamical systems

Nonlinear dynamics, 2019-12, Vol.98 (4), p.2827-2845

2019

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A generic and efficient Taylor series–based continuation method using a quadratic recast of smooth nonlinear systems

International journal for numerical methods in engineering, 2019-07, Vol.119 (4), p.261-280

2019

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A purely frequency based Floquet-Hill formulation for the efficient stability computation of periodic solutions of ordinary differential systems

Journal of computational physics, 2020-09, Vol.416, p.109477, Article 109477

2020

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Power series analysis as a major breakthrough to improve the efficiency of Asymptotic Numerical Method in the vicinity of bifurcations

Journal of computational physics, 2013-03, Vol.236 (18), p.594-607

2013

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Theoretical and numerical study of targeted energy transfer inside an acoustic cavity by a non-linear membrane absorber

International journal of non-linear mechanics, 2014-09, Vol.64, p.85-92

2014

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High performance computations of steady-state bifurcations in 3D incompressible fluid flows by Asymptotic Numerical Method

Journal of computational physics, 2015-10, Vol.299, p.581-596

2015

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Numerical computation of nonlinear normal modes in mechanical engineering

Journal of sound and vibration, 2016-03, Vol.364, p.177-206

2016

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Finite element computation of nonlinear modes and frequency response of geometrically exact beam structures

Journal of sound and vibration, 2023-03, Vol.548, p.117534, Article 117534

2023

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Towards a full higher order AD-based continuation and bifurcation framework

Optimization methods & software, 2018-11, Vol.33 (4-6), p.945-962

2018

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Combining the Asymptotic Numerical Method with the Harmonic Balance Method to capture the nonlinear dynamics of spur gears

Mechanical systems and signal processing, 2024-05, Vol.214, p.111384, Article 111384

2024

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A high-order, purely frequency based harmonic balance formulation for continuation of periodic solutions: The case of non-polynomial nonlinearities

Journal of sound and vibration, 2013-02, Vol.332 (4), p.968-977

2013

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A parallel computer implementation of the Asymptotic Numerical Method to study thermal convection instabilities

Journal of computational physics, 2009-12, Vol.228 (22), p.8249-8262

2009

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Continuation of quasi-periodic solutions with two-frequency Harmonic Balance Method

Journal of sound and vibration, 2017-04, Vol.394, p.434-450

2017

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Passive suppression of helicopter ground resonance using nonlinear energy sinks attached on the helicopter blades

Journal of sound and vibration, 2017-03, Vol.392, p.41-55

2017

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Continuation of periodic solutions of various types of delay differential equations using asymptotic numerical method and harmonic balance method

Nonlinear dynamics, 2019-07, Vol.97 (1), p.123-134

2019

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Constrained continuation of a physical model of brass instrument

The Journal of the Acoustical Society of America, 2021-10, Vol.150 (4), p.A99-A99

2021

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Bifurcation analysis of cantilever beams in channel flow

Journal of sound and vibration, 2023-12, Vol.567 (117951), p.117951, Article 117951

2023

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A comparative study of the harmonic balance method and the orthogonal collocation method on stiff nonlinear systems

Journal of sound and vibration, 2014-06, Vol.333 (12), p.2554-2567

2014

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A one-dimensional full-range two-phase model to efficiently compute bifurcation diagrams in sub-cooled boiling flows in vertical heated tube

Journal of computational physics, 2020-03, Vol.404, p.109131, Article 109131

2020

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Comparison of two algorithms for Harmonic Balance and path continuation

Mechanical systems and signal processing, 2020-02, Vol.136, p.106503, Article 106503

2020

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Fluid-Structure Interaction in a 3-by-3 Reduced-Scale Fuel Assembly Network

Science and technology of nuclear installations, 2010-01, Vol.2010 (2010), p.1-8

2010

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Regularized friction and continuation: Comparison with Coulomb's law

Journal of sound and vibration, 2017-02, Vol.389, p.350-363

2017

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Backbone curves, Neimark-Sacker boundaries and appearance of quasi-periodicity in nonlinear oscillators: application to 1:2 internal resonance and frequency combs in MEMS

Parameter identification of a physical model of brass instruments by constrained continuation

A high order purely frequency-based harmonic balance formulation for continuation of periodic solutions

A Taylor series-based continuation method for solutions of dynamical systems

A generic and efficient Taylor series–based continuation method using a quadratic recast of smooth nonlinear systems

A purely frequency based Floquet-Hill formulation for the efficient stability computation of periodic solutions of ordinary differential systems

Power series analysis as a major breakthrough to improve the efficiency of Asymptotic Numerical Method in the vicinity of bifurcations

Theoretical and numerical study of targeted energy transfer inside an acoustic cavity by a non-linear membrane absorber

High performance computations of steady-state bifurcations in 3D incompressible fluid flows by Asymptotic Numerical Method

Numerical computation of nonlinear normal modes in mechanical engineering

Finite element computation of nonlinear modes and frequency response of geometrically exact beam structures

Towards a full higher order AD-based continuation and bifurcation framework

Combining the Asymptotic Numerical Method with the Harmonic Balance Method to capture the nonlinear dynamics of spur gears

A high-order, purely frequency based harmonic balance formulation for continuation of periodic solutions: The case of non-polynomial nonlinearities

A parallel computer implementation of the Asymptotic Numerical Method to study thermal convection instabilities

Continuation of quasi-periodic solutions with two-frequency Harmonic Balance Method

Passive suppression of helicopter ground resonance using nonlinear energy sinks attached on the helicopter blades

Continuation of periodic solutions of various types of delay differential equations using asymptotic numerical method and harmonic balance method

Constrained continuation of a physical model of brass instrument

Bifurcation analysis of cantilever beams in channel flow

A comparative study of the harmonic balance method and the orthogonal collocation method on stiff nonlinear systems

A one-dimensional full-range two-phase model to efficiently compute bifurcation diagrams in sub-cooled boiling flows in vertical heated tube

Comparison of two algorithms for Harmonic Balance and path continuation

Fluid-Structure Interaction in a 3-by-3 Reduced-Scale Fuel Assembly Network

Regularized friction and continuation: Comparison with Coulomb's law

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