Abstract
Complex dynamics associated with multistability have been studied extensively in the past but mostly for low-dimensional nonlinear dynamical systems. A question of fundamental interest is whether multistability can arise in high-dimensional physical systems. Motivated by the ever increasing widespread use of nanoscale systems, we investigate a prototypical class of nanoelectromechanical systems: electrostatically driven Si nanowires, mathematically described by a set of driven, nonlinear partial differential equations. We develop a computationally efficient algorithm to solve the equations. Our finding is that multistability and complicated structures of basins of attraction are common types of dynamics, and the latter can be attributed to extensive transient chaos. Implications of these phenomena to device operations are discussed.
| Original language | English (US) |
|---|---|
| Article number | 052911 |
| Journal | Physical Review E - Statistical, Nonlinear, and Soft Matter Physics |
| Volume | 87 |
| Issue number | 5 |
| DOIs | |
| State | Published - May 17 2013 |
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ASJC Scopus subject areas
- Condensed Matter Physics
- Statistical and Nonlinear Physics
- Statistics and Probability
- Medicine(all)
Cite this
Complex dynamics in nanosystems. / Ni, Xuan; Ying, Lei; Lai, Ying-Cheng; Do, Younghae; Grebogi, Celso.
In: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, Vol. 87, No. 5, 052911, 17.05.2013.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Complex dynamics in nanosystems
AU - Ni, Xuan
AU - Ying, Lei
AU - Lai, Ying-Cheng
AU - Do, Younghae
AU - Grebogi, Celso
PY - 2013/5/17
Y1 - 2013/5/17
N2 - Complex dynamics associated with multistability have been studied extensively in the past but mostly for low-dimensional nonlinear dynamical systems. A question of fundamental interest is whether multistability can arise in high-dimensional physical systems. Motivated by the ever increasing widespread use of nanoscale systems, we investigate a prototypical class of nanoelectromechanical systems: electrostatically driven Si nanowires, mathematically described by a set of driven, nonlinear partial differential equations. We develop a computationally efficient algorithm to solve the equations. Our finding is that multistability and complicated structures of basins of attraction are common types of dynamics, and the latter can be attributed to extensive transient chaos. Implications of these phenomena to device operations are discussed.
AB - Complex dynamics associated with multistability have been studied extensively in the past but mostly for low-dimensional nonlinear dynamical systems. A question of fundamental interest is whether multistability can arise in high-dimensional physical systems. Motivated by the ever increasing widespread use of nanoscale systems, we investigate a prototypical class of nanoelectromechanical systems: electrostatically driven Si nanowires, mathematically described by a set of driven, nonlinear partial differential equations. We develop a computationally efficient algorithm to solve the equations. Our finding is that multistability and complicated structures of basins of attraction are common types of dynamics, and the latter can be attributed to extensive transient chaos. Implications of these phenomena to device operations are discussed.
UR - http://www.scopus.com/inward/record.url?scp=84878386357&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84878386357&partnerID=8YFLogxK
U2 - 10.1103/PhysRevE.87.052911
DO - 10.1103/PhysRevE.87.052911
M3 - Article
C2 - 23767602
AN - SCOPUS:84878386357
VL - 87
JO - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
JF - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
SN - 1539-3755
IS - 5
M1 - 052911
ER -