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 language | English |
|---|---|
| Pages (from-to) | 3581-3590 |
| Number of pages | 10 |
| Journal | Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics |
| Volume | 54 |
| Issue number | 4 SUPPL. A |
| Publication status | Published - 1996 |
| Externally published | Yes |
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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 journal › Article
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TY - JOUR
T1 - Observation of the concurrent creation and annihilation of periodic orbits in a nonlinear RLC circuit
AU - Newell, T. C.
AU - Kovanis, V.
AU - Gavrielides, A.
AU - Bennett, P.
PY - 1996
Y1 - 1996
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=5344228388&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=5344228388&partnerID=8YFLogxK
M3 - Article
AN - SCOPUS:5344228388
VL - 54
SP - 3581
EP - 3590
JO - Physical review. E
JF - Physical review. E
SN - 2470-0045
IS - 4 SUPPL. A
ER -