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 languageEnglish (US)
Article number052911
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume87
Issue number5
DOIs
StatePublished - May 17 2013

Fingerprint

Nanowires
Multistability
Complex Dynamics
Equipment and Supplies
partial differential equations
dynamical systems
attraction
chaos
nanowires
Basin of Attraction
Nonlinear Dynamical Systems
Nonlinear Partial Differential Equations
Chaos
High-dimensional
Efficient Algorithms

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 journalArticle

Ni, Xuan ; Ying, Lei ; Lai, Ying-Cheng ; Do, Younghae ; Grebogi, Celso. / Complex dynamics in nanosystems. In: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics. 2013 ; Vol. 87, No. 5.
@article{4348899135c047639019fb8fc0e03241,
title = "Complex dynamics in nanosystems",
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.",
author = "Xuan Ni and Lei Ying and Ying-Cheng Lai and Younghae Do and Celso Grebogi",
year = "2013",
month = "5",
day = "17",
doi = "10.1103/PhysRevE.87.052911",
language = "English (US)",
volume = "87",
journal = "Physical Review E - Statistical, Nonlinear, and Soft Matter Physics",
issn = "1539-3755",
publisher = "American Physical Society",
number = "5",

}

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 -