On soft billiard systems
type: Item
instance of: scholarly article
title: On soft billiard systems
zbMATH Open document ID: 0697.58034
DOI: 10.1016/0167-2789(89)90084-5
published in: Physica D
publication date: 1989-01-01T00:00:00Z
review text: It is shown that soft billiard systems with parameters (U,R) [as introduced by \textit{P. R. Baldwin}, Physica D 29, No.3, 321-342 (1988; Zbl 0644.58010)] have positive Lyapunov exponent in the complement of \(B=\{(U,R)|\) \(1-(1-2R)^{-2}<U<0\}.\) Inside B, the soft billiard had previously been shown by Baldwin to be generically non-ergodic.
Mathematics Subject Classification ID: 37A99
Mathematics Subject Classification ID: 37D99
zbMATH DE Number: 4143097
zbMATH Keywords: invariant cone fields
zbMATH Keywords: non-ergodicity
zbMATH Keywords: soft billiard systems
author: Andreas Knauf
reviewed by: Hans Crauel
MaRDI profile type: Publication
full work available at URL: 0167-2789(89)90084-5
OpenAlex ID: W2084148813
cites work: QUASIRANDOM DYNAMICAL SYSTEMS. III QUASIRANDOM OSCILLATIONS OF ONE-DIMENSIONAL OSCILLATORS
cites work: Sort billiard systems
cites work: Q3772942
cites work: Invariant manifolds, entropy and billiards; smooth maps with singularities. With the collab. of F. Ledrappier and F. Przytycki
cites work: Invariant families of cones and Lyapunov exponents
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description: scientific article; zbMATH DE number 4143097