Border-collision bifurcations in a driven time-delay system.

We show that a simple piecewise-linear system with time delay and periodic forcing gives rise to a rich bifurcation structure of torus bifurcations and Arnold tongues, as well as multistability across a significant portion of the parameter space. The simplicity of our model enables us to study the dynamical features analytically. Specifically, these features are explained in terms of border-collision bifurcations of an associated Poincaré map. Given that time delay and periodic forcing are common ingredients in mathematical models, this analysis provides widely applicable insight.

• Publication year

  2020

• Venue

  Chaos

• Publication date

  2020-02-01

• Fields of study

  Mathematics, Physics, Medicine

• Identifiers
  DOI 10.1063/1.5119982arXiv 2002.03948PMID 32113218
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar, PubMed

• No claims are published for this paper.

• No concepts are published for this paper.

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