Observation of the concurrent creation and annihilation of periodic orbits in a nonlinear RLC circuit

T. C. Newell, V. Kovanis, A. Gavrielides, P. Bennett

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

We have numerically investigated and experimentally demonstrated the presence of antimonotonicity: the concurrent creation and destruction of periodic orbits in a driven nonlinear RLC circuit, A simple manifestation of antimonotonicity is the formation of dimples in a high iterate return map. The evolution of such dimples allows for both contact making and contact breaking homoclinic tangencies of the stable and unstable manifolds. Both numerical and experimental return maps unequivocally exhibit the formation of such dimples. The experimental time series were captured using a 16-bit resolution digitizer allowing for a faithful comnutation. of the high iterate return maps.

Original languageEnglish
Pages (from-to)3581-3590
Number of pages10
JournalPhysical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Volume54
Issue number4 SUPPL. A
Publication statusPublished - 1996
Externally publishedYes

Fingerprint

RLC circuits
Nonlinear Circuits
Return Map
Annihilation
Periodic Orbits
Concurrent
orbits
Iterate
Contact
Stable and Unstable Manifolds
Homoclinic
analog to digital converters
Faithful
destruction
Time series
Observation

ASJC Scopus subject areas

  • Mathematical Physics
  • Physics and Astronomy(all)
  • Condensed Matter Physics
  • Statistical and Nonlinear Physics

Cite this

Observation of the concurrent creation and annihilation of periodic orbits in a nonlinear RLC circuit. / Newell, T. C.; Kovanis, V.; Gavrielides, A.; Bennett, P.

In: Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, Vol. 54, No. 4 SUPPL. A, 1996, p. 3581-3590.

Research output: Contribution to journalArticle

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