The state-variable approach to network analysis, Proceedings of the IEEE, vol.53, issue.7, pp.672-686, 1965. ,
DOI : 10.1109/proc.1965.3991
The modified nodal approach to network analysis, IEEE Transactions on circuits and systems, vol.22, issue.6, pp.504-509, 1975. ,
The sparse tableau approach to network analysis and design, IEEE Transactions on circuit theory, vol.18, issue.1, pp.101-113, 1971. ,
DOI : 10.1109/tct.1971.1083223
Digital simulation of nonlinear circuits by wave digital filter principles, Circuits and Systems, pp.720-723, 1989. ,
DOI : 10.1109/iscas.1989.100452
Automated physical modeling of nonlinear audio circuits for real-time audio effects-part i: Theoretical development, IEEE transactions on audio, speech, and language processing, vol.18, issue.4, pp.728-737, 2010. ,
DOI : 10.1109/tasl.2009.2033978
A generalized method for the derivation of non-linear state-space models from circuit schematics, Signal Processing Conference (EUSIPCO), pp.1073-1077, 2015. ,
Resolving wave digital filters with multiple/multiport nonlinearities, Proc. 18th Conf. Digital Audio Effects, pp.387-394, 2015. ,
Geometric Numerical Integration: Structure-Preserving Algorithms for Ordinary Differential Equations, 2006. ,
Port-hamiltonian systems theory: An introductory overview, Foundations and Trends in Systems and Control, vol.1, issue.2-3, pp.173-378, 2014. ,
Port-hamiltonian systems: an introductory survey, Proceedings of the International Congress of Mathematicians, vol.III, pp.1339-1365, 2006. ,
A theory of nonlinear networks. i, Quarterly of Applied Mathematics, vol.22, issue.1, pp.1-33, 1964. ,
, A theory of nonlinear networks. ii, Quarterly of applied mathematics, vol.22, pp.81-104, 1964.
On the relation between porthamiltonian and gradient systems, IFAC Proceedings Volumes, vol.44, pp.3321-3326, 2011. ,
A dual relation between port-hamiltonian systems and the brayton-moser equations for nonlinear switched rlc circuits, Automatica, vol.39, issue.6, pp.969-979, 2003. ,
, Proceedings of the 21 st International Conference on Digital Audio Effects (DAFx-18), 2018.
Simulation of an analog circuit of a wah pedal: a port-Hamiltonian approach, 135th convention of the Audio Engineering Society, 2013. ,
URL : https://hal.archives-ouvertes.fr/hal-01107056
, Passive simulation of the nonlinear port-Hamiltonian modeling of a Rhodes Piano, Journal of Sound and Vibration, vol.390, pp.289-309, 2017.
Energy Balanced Model of a Jet Interacting With a Brass Player's Lip, Acta Acustica united with Acustica, vol.102, issue.1, pp.141-154, 2016. ,
URL : https://hal.archives-ouvertes.fr/hal-01245426
Passive simulation of electrodynamic loudspeakers for guitar amplifiers: a port-Hamiltonian approach, International Symposium on Musical Acoustics, pp.1-5, 2014. ,
URL : https://hal.archives-ouvertes.fr/hal-01161071
Passive guaranteed simulation of analog audio circuits: A port-hamiltonian approach, Applied Sciences, vol.6, issue.10, 2016. ,
URL : https://hal.archives-ouvertes.fr/hal-01390501
Some general theorems for non-linear systems possessing resistance, The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science, vol.42, issue.333, pp.1150-1160, 1951. ,
DOI : 10.1080/14786445108561361
Some general theorems for non-linear systems possessing reactance, The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science, vol.42, issue.333, pp.1161-1177, 1951. ,
DOI : 10.1080/14786445108561362
Geometric integration using discrete gradients, Philosophical Transactions of the Royal Society of London A: Mathematical, Physical and Engineering Sciences, vol.357, issue.1754, pp.1021-1045, 1999. ,
Preserving energy resp. dissipation in numerical PDEs using the 'average vector field' method, Journal of Computational Physics, vol.231, issue.20, pp.6770-6789, 2012. ,
A general network theorem, with applications, Philips Res Rep, vol.7, pp.256-269, 1952. ,
Dirac structures of integrable evolution equations, Physics Letters A, vol.125, issue.5, pp.240-246, 1987. ,
DOI : 10.1016/0375-9601(87)90201-5
Action hamiltoniennes de groupes, Troisieme théoreme de Lie (Lyon, 1986), vol.27, pp.39-49, 1988. ,
, Newton methods for nonlinear problems: affine invariance and adaptive algorithms
, , vol.35, 2011.
Solving ordinary differential equations II: Stiff and Differential-Algebraic Problems, vol.14, 1991. ,
Numerical methods for ordinary differential equations, 2016. ,
Trajectory anti-aliasing on guaranteed-passive simulation of nonlinear physical systems, Proc. 20th Conf. Digital Audio Effects, 2017. ,
Exponential integrators, Acta Numerica, vol.19, pp.209-286, 2010. ,
An introduction to lie group integrators-basics, new developments and applications, Journal of Computational Physics, vol.257, pp.1040-1061, 2014. ,
Lie-group methods, Acta numerica, vol.9, pp.215-365, 2000. ,
URL : https://hal.archives-ouvertes.fr/hal-01328729