This article proposes the concept of Symmetric Product Measures (SPM) for addressing the geometric characterization of the distribution of the intersections of the stable and unstable manifolds in (hyperbolic) dynamical systems. Prototypical examples of SPM associated with multiplicative binomial processes are addressed, and the application to manifold characterization in non-linear area-preserving systems (Henon-map) is developed. Moreover, the application of SPM to the characterization of measure-theoretical properties of the periodic orbit distribution in hyperbolic dynamical systems is addressed. (c) 2005 Elsevier B.V. All rights reserved.

Symmetric product measures: Binomial processes and invariant manifold intersections in dynamical systems / Giona, Massimiliano; Cerbelli, Stefano; Adrover, Alessandra. - In: PHYSICA. A. - ISSN 0378-4371. - 356:2-4(2005), pp. 447-467. [10.1016/j.physa.2005.03.013]

Symmetric product measures: Binomial processes and invariant manifold intersections in dynamical systems

GIONA, Massimiliano;CERBELLI, Stefano;ADROVER, Alessandra
2005

Abstract

This article proposes the concept of Symmetric Product Measures (SPM) for addressing the geometric characterization of the distribution of the intersections of the stable and unstable manifolds in (hyperbolic) dynamical systems. Prototypical examples of SPM associated with multiplicative binomial processes are addressed, and the application to manifold characterization in non-linear area-preserving systems (Henon-map) is developed. Moreover, the application of SPM to the characterization of measure-theoretical properties of the periodic orbit distribution in hyperbolic dynamical systems is addressed. (c) 2005 Elsevier B.V. All rights reserved.
File allegati a questo prodotto
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11573/231680
 Attenzione

Attenzione! I dati visualizzati non sono stati sottoposti a validazione da parte dell'ateneo

Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 1
  • ???jsp.display-item.citation.isi??? 1
social impact