Electronic Resource

Invariant curves for area preserving maps

التفاصيل البيبلوغرافية
العنوان: Invariant curves for area preserving maps
المؤلفون: Universitat Politècnica de Catalunya. Departament de Matemàtiques, Universitat de Barcelona. Departament de Matemàtica Econòmica, Financera i Actuarial, Lázaro Ochoa, José Tomás, Haro Provinciale, Àlex, Wang, Chanyan
بيانات النشر: Universitat Politècnica de Catalunya 2019-07
نوع الوثيقة: Electronic Resource
مستخلص: This work aims to present tool of this approach is the so-called parameterization method, that produces a Newton-like iterative method to solve the invariance equation for an invariant torus, and the KAM theorem is a result on the convergence of the method. The method was introduced in this setting by A. González, À. Jorba, R. de la Llave and J. Villanueva [4] (see A tutorial on KAM theory for preliminary a version). In this work we have followed the review of the method exposed in A parameterizarion method for invariant manifolds.
مصطلحات الفهرس: Àrees temàtiques de la UPC::Matemàtiques i estadística::Equacions diferencials i integrals::Sistemes dinàmics, Differentiable dynamical systems, KAM theorem, Parameterization Method, Newton method, Sistemes dinàmics diferenciables, Classificació AMS::37 Dynamical systems and ergodic theory::37M Approximation methods and numerical treatment of dynamical systems, Master thesis
URL: http://hdl.handle.net/2117/166058
الاتاحة: Open access content. Open access content
Open Access
ملاحظة: application/pdf
English
Other Numbers: HGF oai:upcommons.upc.edu:2117/166058
FME-1839
1110008203
المصدر المساهم: UNIV POLITECNICA DE CATALUNYA
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رقم الانضمام: edsoai.on1110008203
قاعدة البيانات: OAIster