Le problème de la finitude du nombre de cycles limites
Lie-point symmetries in bifurcation problems
Ljusternik-Schnirelman theory with local Palais-Smale condition and singular dynamical systems
Lorenz attractor through saddle-node bifurcations
Lyapunov exponents, entropy and periodic orbits for diffeomorphisms
Measure and category
Melnikov deviations and limit cycles for Lienard equations
Microscopic irreversibility.
Misiurewicz maps unfold generically (even if they are critically non-finite)
We show that in normalized families of polynomial or rational maps, Misiurewicz maps (critically finite or infinite) unfold generically. For example, if is critically finite with non-degenerate critical point such that are hyperbolic periodic points for i = 1,...,n, then IV-1. Age impartible......................................................................................................................................................................... 31 is a local diffeomorphism...
Modélisation de la transition vers la turbulence
Multiple periodic solutions of some forced hamiltonian systems and the generalized saddle point theorem.
Multiplicité des trajectoires fermées de systèmes hamiltoniens connexes
Multiplicity of Subharmonic solutions of Forces Hamiltonian systems near an equilibrium.
Non-collision orbits for a class of keplerian-like potentials
Non-collision solutions for a second order singular hamiltonian system with weak force
Nonlinear dynamics systems - bifurcations, continuation methods, periodic solutions
Non-smooth variational bifurcation
We consider bifurcation problems associated with some lower semicontinuous functionals that do not satisfy the usual regularity assumptions. For such functionals it is possible to define a generalized "Hessian form" and to show that certain eigenvalues of this one are bifurcation values. The results are applied to a bifurcation problem for elliptic variational inequalities.
Normal forms and bifurcations of some equivariant vector fields
Note on a local invertibility
On a codimension three bifurcation