The topological reconstruction of forced oscillators

Hernán G. Solari and Mario A. Natiello

Chaos, Solitons & Fractals, 2009, vol. 42, issue 4, 2023-2034

Abstract: Periodically forced oscillators are among the simplest dynamical systems capable to display chaos. They can be described by the variables position and velocity, together with the phase of the force. Their phase-space corresponds therefore to R2×S1. The organization of the periodic orbits can be displayed with braids having only positive crossings. Topological characterization of dynamical systems actually began to be explored in physics on this family of problems.

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:42:y:2009:i:4:p:2023-2034

DOI: 10.1016/j.chaos.2009.03.167

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