References
- P.A. Absil and K. Kurdyka, On the stable equilibrium points of gradient systems, Syst. Cont. Lett. 55 (2006), pp. 573–577.
- M. Calvo, J.I. Montijano, and L. Rández, The numerical solution of discontinuous IVPs by Runge-Kutta codes: A review, Bol. Soc. Esp. Mat. Appl. 44 (2008), pp. 33–53.
- J. Cortés, Discontinuous dynamical systems, a tutorial on solutions, nonsmooth analysis, and stability, IEEE Contr Syst Mag. 28(3) (2008), pp. 36–73.
- A.F. Filippov, Differential Equations with Discontinuous Righthand Sides, Kluwer, Dordrecht, 1988.
- N. Guglielmi and E. Hairer, Classification of hidden dynamics in discontinuous dynamical systems, SIAM J. Appl. Dyn. Syst. 14(3) (2015), pp. 1454–1477.
- J.B. Hiriart-Urruty, and C. Lemarchal,Convex Analysis and Minimization Algorithms. I. Fundamentals, Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], Vol. 305. Springer-Verlag, Berlin, 1993.
- H. Jongen and O. Stein, Nonconvex optimization: Gradient flows and deformation, J. Dyn. Control Syst. 7(3) (2001), pp. 425–446.
- J. Llibre and A.C. Mereu, Limit cycles for discontinuous quadratic differential systems with two zones, J. Math. Anal. Appl. 413(2) (2014), pp. 763–775.
- J. Llibre and E. Ponce, Three nested limit cycles in discontinuous piecewise linear differential systems with two zones, Dyn. Contin. Discrete Impuls. Syst. Ser. B Appl. Algorithms 19(3) (2012), pp. 325–335.
- J. Nocedal and S.J. Wright, Numerical Optimization, Springer Series in Operations Research, Springer-Verlag, New York, 1999.
- M. Pappalardo and M. Passacantando, Stability for equilibrium problems: From variational inequalities to dynamical systems, J. Opt. Th. Appl. 113(3) (2002), pp. 567–582.
- G.V. Smirnov, Introduction to the Theory of Differential Inclusions, Graduate Studies in Mathematics, Vol. 41. American Mathematical Society, Providence, RI, 2002.