On the definition of strange nonchaotic attractor

• Autorzy: Lluís Alsedà , Sara Costa
• Języki publikacji: EN

Abstrakty

EN

The aim of this paper is twofold. On the one hand, we want to discuss some methodological issues related to the notion of strange nonchaotic attractor. On the other hand, we want to formulate a precise definition of this kind of attractor, which is "observable" in the physical sense and, in the two-dimensional setting, includes the well known models proposed by Grebogi et al. and by Keller, and a wide range of other examples proposed in the literature. Furthermore, we analytically prove that a whole family of two-dimensional quasiperiodic skew products defined on 𝕊¹ × ℝ have strange nonchaotic attractors. As a corollary we show analytically that the system proposed by Grebogi et al. has a strange nonchaotic attractor.

Kategorie tematyczne

• 37C55: Periodic and quasiperiodic flows and diffeomorphisms
• 34D08: Characteristic and Lyapunov exponents
• 37C70: Attractors and repellers, topological structure

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2009
• Tom: 206
• Numer: 1
• Strony: 23-39

Daty

wydano

2009

Twórcy

autor

Lluís Alsedà

• Departament de Matemàtiques, Edifici Cc, Universitat Autònoma de Barcelona, 08913 Cerdanyola del Vallès, Barcelona, Spain

autor

Sara Costa

• Departament de Matemàtiques, Edifici Cc, Universitat Autònoma de Barcelona, 08913 Cerdanyola del Vallès, Barcelona, Spain

Identyfikatory

DOI

10.4064/fm206-0-2