A Filippov sliding vector field on an attracting co-dimension 2 discontinuity surface, and a limited loss-of-attractivity analysis L Dieci, C Elia, L Lopez
Journal of Differential Equations 254 (4), 1800-1832, 2013
54 2013 The singular value decomposition to approximate spectra of dynamical systems. Theoretical aspects L Dieci, C Elia
Journal of Differential Equations 230 (2), 502-531, 2006
38 2006 Exponential dichotomy on the real line: SVD and QR methods L Dieci, C Elia, E Van Vleck
Journal of Differential equations 248 (2), 287-308, 2010
35 2010 SVD algorithms to approximate spectra of dynamical systems L Dieci, C Elia
Mathematics and Computers in Simulation 79 (4), 1235-1254, 2008
33 2008 On the equivalence between the sigmoidal approach and Utkin's approach for piecewise-linear models of gene regulatory networks N Del Buono, C Elia, L Lopez
SIAM Journal on Applied Dynamical Systems 13 (3), 1270-1292, 2014
22 2014 Periodic orbits for planar piecewise smooth systems with a line of discontinuity L Dieci, C Elia
Journal of Dynamics and Differential Equations 26, 1049-1078, 2014
16 2014 Detecting exponential dichotomy on the real line: SVD and QR algorithms L Dieci, C Elia, E Van Vleck
BIT Numerical Mathematics 51 (3), 555-579, 2011
16 2011 Limit cycles for regularized discontinuous dynamical systems with a hyperplane of discontinuity L Dieci, C Elia, P Dingheng
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. SERIES B. 22 (8), 3091-3112, 2017
14 2017 Piecewise smooth systems near a co-dimension 2 discontinuity manifold: can one say what should happen? L Dieci, C Elia
arXiv preprint arXiv:1508.02639, 2015
13 2015 Computation of few Lyapunov exponents by geodesic based algorithms N Del Buono, C Elia
Future Generation Computer Systems 19 (3), 425-430, 2003
10 2003 Uniqueness of Filippov Sliding Vector Field on the Intersection of Two Surfaces in and Implications for Stability of Periodic Orbits L Dieci, C Elia, L Lopez
Journal of Nonlinear Science 25, 1453-1471, 2015
9 2015 Sharp sufficient attractivity conditions for sliding on a co-dimension 2 discontinuity surface L Dieci, C Elia, L Lopez
Mathematics and Computers in Simulation 110, 3-14, 2015
9 2015 Smooth SVD on the Lorentz group with application to computation of Lyapunov exponents L Dieci, C Elia, L Lopez
Journal of computational and applied mathematics 164, 255-264, 2004
9 2004 On Filippov solutions of discontinuous DAEs of index 1 L Dieci, C Elia, L Lopez
Communications in Nonlinear Science and Numerical Simulation 95, 105656, 2021
8 2021 Rotation number and exponential dichotomy for linear Hamiltonian systems: from theoretical to numerical results C Elia, R Fabbri
Journal of Dynamics and Differential Equations 25, 95-120, 2013
8 2013 Existence of global attractor for a nonautonomous state-dependent delay differential equation of neuronal type C Elia, I Maroto, C Núñez, R Obaya
Communications in Nonlinear Science and Numerical Simulation 78, 104874, 2019
4 2019 PERIODIC ORBITS OF PLANAR DISCONTINUOUS SYSTEM UNDER DISCRETIZATION. L Dieci, T Eirola, C Elia
Discrete & Continuous Dynamical Systems-Series B 23 (7), 2018
3 2018 Exponential monotonicity of quadratic forms in ODEs and preserving methods C Elia, L Lopez
Future Generation Computer Systems 19 (7), 1187-1195, 2003
2 2003 Master stability function for piecewise smooth Filippov networks L Dieci, C Elia
Automatica 152, 110939, 2023
1 2023 Master stability function for piecewise smooth networks L Dieci, C Elia
arXiv preprint arXiv:2111.04413, 2021
1 2021