Home > Research > Publications & Outputs > Chaotic properties of a time-modulated barrier.

Research

Electronic data

Links

Text available via DOI:

View graph of relations

Chaotic properties of a time-modulated barrier.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Published

Standard

Chaotic properties of a time-modulated barrier. / Leonel, E. D.; McClintock, Peter V. E.
In: Physical Review E, Vol. 70, No. 1, 07.2004, p. 016214.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Harvard

Leonel, ED & McClintock, PVE 2004, 'Chaotic properties of a time-modulated barrier.', Physical Review E, vol. 70, no. 1, pp. 016214. https://doi.org/10.1103/PhysRevE.70.016214

APA

Leonel, E. D., & McClintock, P. V. E. (2004). Chaotic properties of a time-modulated barrier. Physical Review E, 70(1), 016214. https://doi.org/10.1103/PhysRevE.70.016214

Vancouver

Leonel ED, McClintock PVE. Chaotic properties of a time-modulated barrier. Physical Review E. 2004 Jul;70(1):016214. doi: 10.1103/PhysRevE.70.016214

Author

Leonel, E. D. ; McClintock, Peter V. E. / Chaotic properties of a time-modulated barrier. In: Physical Review E. 2004 ; Vol. 70, No. 1. pp. 016214.

Bibtex

@article{da0eca1969274304819e9ba8f35df25a,
title = "Chaotic properties of a time-modulated barrier.",
abstract = "Some chaotic properties of a classical particle interacting with a time-modulated barrier are studied. The dynamics of this problem is obtained by use of a two-dimensional nonlinear area-preserving map. The chaotic low energy region is characterized in terms of Lyapunov exponents. The time that the particle stays trapped in the well is such that the distributions of successive reflections, and of the corresponding successive reflection times, obey power laws with the same exponent. Using time series analysis, we show that the chaotic sea exhibits an interesting scaling property over a large range of control parameters. Our results indicate that the particle experiences unlimited energy growth when the barrier behaves randomly.",
author = "Leonel, {E. D.} and McClintock, {Peter V. E.}",
year = "2004",
month = jul,
doi = "10.1103/PhysRevE.70.016214",
language = "English",
volume = "70",
pages = "016214",
journal = "Physical Review E",
issn = "1539-3755",
publisher = "American Physical Society",
number = "1",

}

RIS

TY - JOUR

T1 - Chaotic properties of a time-modulated barrier.

AU - Leonel, E. D.

AU - McClintock, Peter V. E.

PY - 2004/7

Y1 - 2004/7

N2 - Some chaotic properties of a classical particle interacting with a time-modulated barrier are studied. The dynamics of this problem is obtained by use of a two-dimensional nonlinear area-preserving map. The chaotic low energy region is characterized in terms of Lyapunov exponents. The time that the particle stays trapped in the well is such that the distributions of successive reflections, and of the corresponding successive reflection times, obey power laws with the same exponent. Using time series analysis, we show that the chaotic sea exhibits an interesting scaling property over a large range of control parameters. Our results indicate that the particle experiences unlimited energy growth when the barrier behaves randomly.

AB - Some chaotic properties of a classical particle interacting with a time-modulated barrier are studied. The dynamics of this problem is obtained by use of a two-dimensional nonlinear area-preserving map. The chaotic low energy region is characterized in terms of Lyapunov exponents. The time that the particle stays trapped in the well is such that the distributions of successive reflections, and of the corresponding successive reflection times, obey power laws with the same exponent. Using time series analysis, we show that the chaotic sea exhibits an interesting scaling property over a large range of control parameters. Our results indicate that the particle experiences unlimited energy growth when the barrier behaves randomly.

U2 - 10.1103/PhysRevE.70.016214

DO - 10.1103/PhysRevE.70.016214

M3 - Journal article

VL - 70

SP - 016214

JO - Physical Review E

JF - Physical Review E

SN - 1539-3755

IS - 1

ER -