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Research Output 2013 2017

  • 25 Citations
  • 4 h-Index
  • 8 Article
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Article
2017
5 Citations (Scopus)

A perturbation theory approach to the stability of the Pais-Uhlenbeck oscillator

Avendaño-Camacho, M., Vallejo, J. A. & Vorobiev, Y., 1 Sep 2017, In : Journal of Mathematical Physics.

Research output: Contribution to journalArticleResearchpeer-review

Symplectic Reduction
Orbital Stability
Normal Form Theory
Perturbation Theory
Hamiltonian Systems
5 Citations (Scopus)
bundles
fibers
theorems
perturbation theory
symmetry

Semiclassical Szegö Limit of Eigenvalue Clusters for the Hydrogen Atom Zeeman Hamiltonian

Avendaño-Camacho, M., Hislop, P. D. & Villegas-Blas, C., 1 Dec 2017, In : Annales Henri Poincare. p. 3933-3973 41 p.

Research output: Contribution to journalArticleResearchpeer-review

Semiclassical Limit
Hydrogen Atom
Eigenvalue Distribution
hydrogen atoms
eigenvalues
2016

A geometric proof of the periodic averaging theorem on Riemannian manifolds

Avendaño-Camacho, M. & Dávila-Rascón, G., 1 Jan 2016, In : Revista Matematica Complutense. p. 169-189 21 p.

Research output: Contribution to journalArticleResearchpeer-review

Geometric proof
Averaging
Riemannian Manifold
Vector Field
Averaging Method
2013
4 Citations (Scopus)
Hamiltonians
pendulums
Normal Form
Hamiltonian Systems
algebra
7 Citations (Scopus)

Higher order corrections to adiabatic invariants of generalized slow-fast Hamiltonian systems

Avendaño-Camacho, M., Vallejo, J. A. & Vorobiev, Y., 5 Aug 2013, In : Journal of Mathematical Physics.

Research output: Contribution to journalArticleResearchpeer-review

Slow-fast System
Adiabatic Invariant
First Integral
Hamiltonian Systems
Higher Order
4 Citations (Scopus)

On the global structure of normal forms for slow-fast Hamiltonian systems

Avendaño Camacho, M. & Vorobiev, Y., 1 Apr 2013, In : Russian Journal of Mathematical Physics. p. 138-148 11 p.

Research output: Contribution to journalArticleResearchpeer-review

Slow-fast System
Normal Form
Hamiltonian Systems
Averaging
Trivial