The Projection Pressure for Asymptotically Weak Separation Condition and Bowen's Equation. (20th June 2012)

• Record Type: Journal Article
• Authors: Wang, Chenwei; Chen, Ercai
• Other Names: Solis Francisco Academic Editor.
• Is Part Of: Discrete dynamics in nature and society. Volume 2012(2012)
• Publication Date: 2012-06-20
• Subjects: System analysis -- Periodicals; Dynamics -- Periodicals; Chaotic behavior in systems -- Periodicals; Differentiable dynamical systems -- Periodicals; 003.05
• DOI: 10.1155/2012/807405
• Languages: English
• ISSNs: 1026-0226

Abstract

Abstract : Let { S i } i = 1 l be a weakly conformal iterated function system on R d with attractor K . Let π be the canonical projection. In this paper we define a new concept called "projection pressure" P π ( φ ) for φ ∈ C ( Σ ) and show the variational principle about the projection pressure under AWSC. Furthermore, we check that the zero of "projection pressure" still satisfies Bowen's equation. Using the root of Bowen's equation, we can get the Hausdorff dimension of the attractor K .