Skip to main content
SpringerLink
Log in

Feigenbaum Theory for Unimodal Maps with Asymmetric Critical Point: Rigorous Results

  • Published:
Communications in Mathematical Physics Aims and scope Submit manuscript

Abstract:

We apply the methods of H. Epstein to prove the existence of a line of period-2 solutions of the Feigenbaum period-doubling renormalisation transformation. These solutions govern the universal behaviour of families of unimodal maps with “asymmetric critical points” of degree d, for which the d th derivative has differing left and right limits.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

Author information

Authors and Affiliations

  1. Department of Mathematics, University of Exeter, Exeter, EX4 4QE, UK.¶E-mail: B.D.Mestel@exeter.ac.uk, , , , , , UK

    B. D. Mestel

  2. Department of Mathematical Sciences, Loughborough University, Loughborough, LE11 3TU, UK.¶E-mail: A.H.Osbaldestin@Lboro.ac.uk, , , , , , UK

    A. H. Osbaldestin

Authors
  1. B. D. Mestel
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. A. H. Osbaldestin
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Received: 12 December 1997 / Accepted: 12 March 1998

Rights and permissions

Reprints and permissions

About this article

Cite this article

Mestel, B., Osbaldestin, A. Feigenbaum Theory for Unimodal Maps with Asymmetric Critical Point: Rigorous Results . Comm Math Phys 197, 211–228 (1998). https://doi.org/10.1007/s002200050448

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/s002200050448

Keywords

Search

Navigation