Yanguas Sayas, Patricia

Profile Picture

Email Address

person.page.identifierURI

https://academica-e.unavarra.es/handle/2454/50183

Birth Date

Job Title

Last Name

Yanguas Sayas

First Name

Patricia

person.page.departamento

Estadística, Informática y Matemáticas

person.page.instituteName

InaMat2. Instituto de Investigación en Materiales Avanzados y Matemáticas

ORCID

0000-0001-9767-5554

person.page.observainves

88506

person.page.upna

1891

Name

Filters

2020 - 20212
Reset filters

Settings

Author: Yanguas Sayas, Patricia × Subject: Elliptic equilibria ×

Search Results

Now showing 1 - 2 of 2
  • Thumbnail Image
    PublicationOpen Access
    On the nonlinear stability of the triangular points in the circular spatial restricted three-body problem
    (Pleiades Publishing, 2020) Cárcamo Díaz, Daniela Jacqueline; Palacián Subiela, Jesús Francisco; Vidal Díaz, Claudio; Yanguas Sayas, Patricia; Estatistika, Informatika eta Matematika; Institute for Advanced Materials and Mathematics - INAMAT2; Estadística, Informática y Matemáticas
    The well-known problem of the nonlinear stability of L4 and L5 in the circular spatial restricted three-body problem is revisited. Some new results in the light of the concept of Lie (formal) stability are presented. In particular, we provide stability and asymptotic estimates for three specific values of the mass ratio that remained uncovered. Moreover, in many cases we improve the estimates found in the literature.
  • Thumbnail Image
    PublicationOpen Access
    Nonlinear stability of elliptic equilibria in Hamiltonian systems with exponential time estimates
    (American Institute of Mathematical Sciences (AIMS), 2021) Cárcamo Díaz, Daniela Jacqueline; Palacián Subiela, Jesús Francisco; Vidal Díaz, Claudio; Yanguas Sayas, Patricia; Estatistika, Informatika eta Matematika; Institute for Advanced Materials and Mathematics - INAMAT2; Estadística, Informática y Matemáticas
    In the framework of nonlinear stability of elliptic equilibria in Hamiltonian systems with n degrees of freedom we provide a criterion to obtain a type of formal stability, called Lie stability. Our result generalises previous approaches, as exponential stability in the sense of Nekhoroshev (excepting a few situations) and other classical results on formal stability of equilibria. In case of Lie stable systems we bound the solutions near the equilibrium over exponentially long times. Some examples are provided to illustrate our main contributions.