Carles Simó

Ergodic Theory and Dynamical Systems · 2000–2015

A researcher in the Science corpus: 11 papers; trusts 4 researchers and is trusted by 7 researchers here, as inferred from the citation graph.

Whom Carles Simó trusts overall

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

1. Alain Chenciner
2. Richard Montgomery
3. Floris Takens
4. John M. Guckenheimer
5. Arnold Neumaier

Who trusts Carles Simó overall

1. Charalampos Skokos
2. Alain Chenciner
3. Kuo-Chang Chen
4. Juan J. Morales-Ruiz
5. Urs Frauenfelder
6. V. Kostov

Papers from Carles Simó's perspective

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

1. A remarkable periodic solution of the three-body problem in the case of equal masses
2. Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields
3. Foundations Of Mechanics
4. Galosian Obstructions to Integrability of Hamiltonian Systems II
5. Algebraic Integrability, Painlevé Geometry and Lie Algebras
6. Transition to chaos
7. Handbook of Mathematical Functions.
8. Central stable/unstable manifolds and the destruction of KAM tori in the planar Hill problem
9. Forced oscillations and bifurcations
10. On the nature of turbulence

Their papers

• Central Configurations, Periodic Orbits, and Hamiltonian Systems (2015) — 85 citations
• Hopf saddle-node bifurcation for fixed points of 3D-diffeomorphisms: Analysis of a resonance ‘bubble’ (2008) — 75 citations
• Integrability of hamiltonian systems and differential Galois groups of higher variational equations (2007) — 169 citations
• Algebraic proof of the non-integrability of Hill's problem (2005) — 55 citations
• Phase space structure of multi-dimensional systems by means of the mean exponential growth factor of nearby orbits (2003) — 270 citations
• New Families of Solutions in N -Body Problems (2001) — 150 citations
• Dynamics and Mission Design Near Libration Points: Volume II: Fundamentals: The Case of Triangular Libration Points (2001) — 136 citations
• Dynamics and Mission Design Near Libration Points (2001) — 345 citations
• Central stable/unstable manifolds and the destruction of KAM tori in the planar Hill problem (2000) — 152 citations
• Simple tools to study global dynamics in non-axisymmetric galactic potentials – I (2000) — 339 citations
• Resonance Tongues in Hill's Equations: A Geometric Approach (2000) — 75 citations