Person:
López Ruiz, R.

Profile Picture

Email Address

person.page.identifierURI

https://academica-e.unavarra.es/handle/2454/49454

Birth Date

Research Projects

Organizational Units

Job Title

Last Name

López Ruiz

First Name

R.

person.page.departamento

Matemática e Informática

person.page.instituteName

ORCID

person.page.upna

535

Name

Filters

20091
Reset filters

Settings

Author: Abbasbandy, S. × Subject: Homotopy analysis method ×

Search Results

Now showing 1 - 1 of 1
  • Thumbnail Image
    PublicationOpen Access
    Formulas for the amplitude of the van der Pol limit cycle through the homotopy analysis method
    (Hindawi / Wiley, 2009) López García, José Luis; Abbasbandy, S.; López Ruiz, R.; Ingeniería Matemática e Informática; Matematika eta Informatika Ingeniaritza; Gobierno de Navarra / Nafarroako Gobernua, Res. 07/05/2008
    The limit cycle of the van der Pol oscillator, x¨+ε(x2−1)x˙+x=0, is studied in the plane (x,x˙) by applying the homotopy analysis method. A recursive set of formulas that approximate the amplitude and form of this limit cycle for the whole range of the parameter ε is obtained. These formulas generate the amplitude with an error less than 0.1%. To our knowledge, this is the first time where an analytical approximation of the amplitude of the van der Pol limit cycle, with validity from the weakly up to the strongly nonlinear regime, is given.