Some analogies between number theory and dynamical systems on foliated spaces.
Some common fixed point results for rational type contraction mappings in partially ordered metric spaces
The purpose of this paper is to establish some common fixed point results for -nondecreasing mappings which satisfy some nonlinear contractions of rational type in the framework of metric spaces endowed with a partial order. Also, as a consequence, a result of integral type for such class of mappings is obtained. The proved results generalize and extend some of the results of J. Harjani, B. Lopez, K. Sadarangani (2010) and D. S. Jaggi (1977).
Some continuity and approximation properties of a countable iterated function system.
Some examples for the Poincaré and Painlevé problems
Some lemmas about dynamical systems.
Some new results in state space decoupling of multivariable systems. I. A link between geometric approach and matrix methods
Some new results in state space decoupling of multivariable systems. II. Extensions to decoupling of systems with and output feedback decoupling
Some open problems in dynamical systems.
Some remarks on Lie flows.
The first part of this paper is concerned with geometrical and cohomological properties of Lie flows on compact manifolds. Relations between these properties and the Euler class of the flow are given.The second part deals with 3-codimensional Lie flows. Using the classification of 3-dimensional Lie algebras we give cohomological obstructions for a compact manifold admits a Lie flow transversely modeled on a given Lie algebra.
Some remarks on recent results about S-unimodal maps
Some results on dynamical systems and their generalization
Some results on stability of difference systems.
Spectra of Ruelle Transfer Operators for Contact Flows
In this survey article we discuss some recent results concerning strong spectral estimates for Ruelle transfer operators for contact flows on basic sets similar to these of Dolgopyat obtained in the case of Anosov flows with C1 stable and unstable foliations. Some applications of Dolgopyat's results and the more recent ones are also described.
Spectral mapping theorems and stability theory in linear dynamical systems.
SRB measures for non-hyperbolic systems with multidimensional expansion
Stabilité ou instabilité des points fixes elliptiques
Stabilité structurelle
Stability and convergence in strongly monotone dynamical systems.
Stability and genericity in dynamical systems
Stability and Uniqueness Properties of the Equator Map from a Ball into an Ellipsoid.