ScholarLens Back to search
1984•Progress of Theoretical PhysicsOpen access

Fates of Three-Torus. I: Double Devil's Staircase in Lockings

Kenichi Kaneko

Open full text 12 citations

Abstract

Fates of three-torus are investigated by two- or four-dimensional coupled mappings. Three-tori exist for a weak coupling, which become feasible to lock into a torus as the coupling increases. Transition to chaos occurs only via a locking into a cycle. The locking into a torus forms a “double devil's staircase”, which is studied by the modulated circle map. Mechanism of the locking is also discussed.

Open-access reader

About this research paper

What this paper is about

Fates of three-torus are investigated by two- or four-dimensional coupled mappings. Three-tori exist for a weak coupling, which become feasible to lock into a torus as the coupling increases. Transition to chaos occurs only via a locking into a cycle. The locking into a torus forms a “double devil's staircase”, which is studied by the modulated circle map. Mechanism of the locking is also discussed.

Why it matters

OpenAlex reports 12 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

Fates of three-torus are investigated by two- or four-dimensional coupled mappings. Three-tori exist for a weak coupling, which become feasible to lock into a torus as the coupling increases. Transition to chaos occurs only via a locking into a cycle. The locking into a torus forms a “double devil's staircase”, which is studied by the modulated circle map. Mechanism of the locking is also discussed.

Key concepts: Torus, Physics, Coupling (piping), Lock (firearm), Geometry, Mathematics, Engineering, Mechanical engineering

Related papers

Related paper 1Related paper 2Related paper 3
Back to paper searchBrowse research topicsOriginal source
Fates of Three-Torus. I: Double Devil's Staircase in Lockings — Research Paper | ScholarLens