R. Llave

Statistical and Nonlinear Physics · 2001–2014

A researcher in the Science corpus: 13 papers; trusts 15 researchers and is trusted by 13 researchers here, as inferred from the citation graph.

Subfields

• Statistical and Nonlinear Physics — 24 citations into it; #3,171 of 10,127 by trust here, #3,869 by citations
• Mathematical Physics — 20 citations into it; #2,546 of 8,562 by trust here, #1,658 by citations
• Computational Theory and Mathematics — 11 citations into it; #7,921 of 12,182 by trust here, #8,756 by citations
• Applied Mathematics — 10 citations into it; #5,051 of 7,620 by trust here, #4,234 by citations
• Geometry and Topology — 9 citations into it; #2,420 of 7,422 by trust here, #1,882 by citations

Whom R. Llave trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. Amadeu Delshams
2. X. Cabré
3. Paul H. Rabinowitz
4. P. Zgliczy'nski
5. Yakov Pesin
6. Ernest Fontich
7. P. Lochak
8. E. Stredulinsky
9. Marian Gidea
10. Tere M. Seara

Who trusts R. Llave overall

1. C. Bucur
2. Maxime Breden
3. Enrico Valdinoci
4. Friedemann Schuricht
5. X. Cabré
6. H. von der Mosel
7. Ernest Fontich
8. Jean-Philippe Lessard
9. Marcel Guardia
10. Serena Dipierro

Papers from R. Llave's perspective

Ordered by how strongly the researchers R. Llave trusts endorse each paper. Same corpus, a different order for every researcher.

1. A Geometric Approach to the Existence of Orbits with Unbounded Energy in Generic Periodic Perturbations by a Potential of Generic Geodesic Flows of ?2}
2. On the splitting of invariant manifolds in multidimensional near-integrable Hamiltonian systems
3. Lectures on Partial Hyperbolicity and Stable Ergodicity
4. Mixed states for an Allen‐Cahn type equation
5. The parameterization method for invariant manifolds. I: Manifolds associated to non-resonant subspaces
6. Covering relations for multidimensional dynamical systems
7. On the minimum ropelength of knots and links
8. High-order expansions of invariant manifolds of libration point orbits with applications to mission design
9. Lectures on Symplectic Geometry
10. KAM theory without action-angle variables

Their papers

• A generalization of Aubry–Mather theory to partial differential equations and pseudo-differential equations (2009) — 56 citations
• Singularity Theory for Non-Twist Kam Tori (2014) — 50 citations
• A KAM theory for conformally symplectic systems: Efficient algorithms and their validation (2013) — 120 citations
• Computation of whiskered invariant tori and their associated manifolds: new fast algorithms (2010) — 66 citations
• Construction of invariant whiskered tori by a parameterization method. Part I: Maps and flows in finite dimensions (2009) — 71 citations
• GEOMETRIC PROPERTIES OF THE SCATTERING MAP OF A NORMALLY HYPERBOLIC INVARIANT MANIFOLD (2008) — 119 citations
• A parameterization method for the computation of invariant tori andtheir whiskers in quasi-periodic maps: Numerical algorithms (2006) — 150 citations
• The parameterization method for invariant manifolds III: overview and applications (2005) — 91 citations
• TOPOLOGICAL METHODS IN THE INSTABILITY PROBLEM OF HAMILTONIAN SYSTEMS (2005) — 67 citations
• The parameterization method for invariant manifolds. II: Regularity with respect to parameters (2003) — 121 citations
• EXISTENCE OF IDEAL KNOTS (2003) — 53 citations
• The parameterization method for invariant manifolds. I: Manifolds associated to non-resonant subspaces (2003) — 207 citations
• Smooth Ergodic Theory and Its Applications (2001) — 67 citations