On $C^0$-centralizers of Anosov diffeomorphisms on the torus: algebraic and topological aspects

Fundamenta Mathematicae

2022 | journal-article

On sensitivity to initial conditions and uniqueness of conjugacies for structurally stable diffeomorphisms

Nonlinearity

2018 | journal-article

The centralizer of C^r -generic diffeomorphisms at hyperbolic basic sets is trivial

Proceedings of the American Mathematical Society

2018 | journal-article

The centralizer of Komuro-expansive flows and expansive R^d actions

Mathematische Zeitschrift

2018 | journal-article

Uniform hyperbolicity revisited: index of periodic points and equidimensional cycles

Dynamical Systems

2018 | journal-article

Generic Hamiltonian Dynamics

Journal of Dynamics and Differential Equations

2017 | journal-article

Skew product cycles with rich dynamics: From totally non-hyperbolic dynamics to fully prevalent hyperbolicity

Dynamical Systems

2016 | journal-article

Contributions to the geometric and ergodic theory of conservative flows

Ergodic Theory and Dynamical Systems

2013 | journal-article

Hyperbolicity and stability for Hamiltonian flows

Journal of Differential Equations

2013 | journal-article

Shades of hyperbolicity for Hamiltonians

Nonlinearity

2013 | journal-article

A remark on the topological stability of symplectomorphisms

Applied Mathematics Letters

2012 | journal-article

Denseness of ergodicity for a class of volume-preserving flows

Portugaliae Mathematica

2011 | journal-article

Topological stability for conservative systems

Journal of Differential Equations

2011 | journal-article

On the stability of the set of hyperbolic closed orbits of a Hamiltonian

Mathematical Proceedings of the Cambridge Philosophical Society

2010 | journal-article

Three-dimensional conservative star flows are anosov

Discrete and Continuous Dynamical Systems

2010 | journal-article

Homoclinic tangencies versus uniform hyperbolicity for conservative 3-flows

Journal of Differential Equations

2009 | journal-article

A note on the C⁰-centralizer of an open class of bidimensional Anosov diffeomorphisms

Aequationes Mathematicae

2008 | journal-article

On C¹-robust transitivity of volume-preserving flows

Journal of Differential Equations

2008 | journal-article

On the fundamental regions of a fixed point free conservative Hénon map

Bulletin of the Australian Mathematical Society

2008 | journal-article

How do hyperbolic homoclinic classes collide at heterodimensional cycles?

Discrete and Continuous Dynamical Systems

2007 | journal-article

Removing zero Lyapunov exponents in volume-preserving flows

Nonlinearity

2007 | journal-article

Robustly transitive sets and heterodimensional cycles

Asterisque

2003 | book

Heterodimensional cycles, partial hyperbolicity and limit dynamics

Fundamenta Mathematicae

2002 | journal-article

Partially hyperbolic and transitive dynamics generated by heteroclinic cycles

Ergodic Theory and Dynamical Systems

2001 | journal-article

Large measure of hyperbolic dynamics when unfolding heteroclinic cycles

Nonlinearity

1997 | journal-article

Non-critical saddle-node cycles and robust non-hyperbolic dynamics

Dynamics and Stability of Systems

1997 | journal-article

Strange attractors in saddle-node cycles: Prevalence and globality

Inventiones Mathematicae

1996 | journal-article

Centralizers and entropy

Boletim da Sociedade Brasileira de Matemática

1994 | journal-article

Maps of the two-sphere at the boundary of chaos

Nonlinearity

1994 | journal-article

Rigidity of centralizers of real analytic diffeomorphisms

Ergodic Theory and Dynamical Systems

1993 | journal-article

Nonconnected heterodimensional cycles: Bifurcation and stability

Nonlinearity

1992 | journal-article