H. Attouch, Z. Chbani, and H. Riahi, Rate of convergence of the Nesterov accelerated gradient method in the subcritical case ? ? 3, 2017.

H. Attouch and C. , Fast inertial dynamics and fista algorithms in convex optimization. perturbation aspects. arXiv preprint, 2015.

H. Attouch, Z. Chbani, J. Peypouquet, and P. Redont, Fast convergence of inertial dynamics and algorithms with asymptotic vanishing viscosity, Mathematical Programming, pp.1-53, 2016.
DOI : 10.1137/110844805

H. Attouch, X. Goudou, and P. Redont, THE HEAVY BALL WITH FRICTION METHOD, I. THE CONTINUOUS DYNAMICAL SYSTEM: GLOBAL EXPLORATION OF THE LOCAL MINIMA OF A REAL-VALUED FUNCTION BY ASYMPTOTIC ANALYSIS OF A DISSIPATIVE DYNAMICAL SYSTEM, Communications in Contemporary Mathematics, vol.4, issue.01, pp.1-34, 2000.
DOI : 10.1016/0304-4068(76)90019-7

M. Balti and R. May, Asymptotic for the perturbed heavy ball system with vanishing damping term. arXiv preprint, 2016.

A. Beck and M. Teboulle, A Fast Iterative Shrinkage-Thresholding Algorithm for Linear Inverse Problems, SIAM Journal on Imaging Sciences, vol.2, issue.1, pp.183-202, 2009.
DOI : 10.1137/080716542

A. Cabot, H. Engler, and S. Gadat, On the long time behavior of second order differential equations with asymptotically small dissipation . Transactions of the, pp.3615983-6017, 2009.
URL : https://hal.archives-ouvertes.fr/hal-00790021

A. Chambolle and C. Dossal, On the Convergence of the Iterates of the ???Fast Iterative Shrinkage/Thresholding Algorithm???, Journal of Optimization Theory and Applications, vol.155, issue.2, pp.968-982, 2015.
DOI : 10.1007/978-1-4419-9467-7

J. Demailly, Analyse numérique etéquationsetéquations aux dérivées partielles, EDP Sciences, 2006.

R. May, Asymptotic for a second order evolution equation with convex potential and vanishing damping term. arXiv preprint, 2015.

Y. Nesterov, A method of solving a convex programming problem with convergence rate o (1/k2), In Soviet Mathematics Doklady, vol.27, pp.372-376, 1983.

W. Su, S. Boyd, and E. J. Candes, A differential equation for modeling nesterov's accelerated gradient method: theory and insights, Journal of Machine Learning Research, vol.17, issue.153, pp.1-43, 2016.