Scaling relations for forced oscillators in the transition from a dissipative to a Hamiltonian system

Research output: Contribution to journal › Journal article › Research › peer-review

Standard

Scaling relations for forced oscillators in the transition from a dissipative to a Hamiltonian system. / Flensberg, Karsten; Svensmark, Henrik.

In: Physical Review E (Statistical, Nonlinear, and Soft Matter Physics), Vol. 47, No. 3, 01.03.1993, p. 2190-2192.

Research output: Contribution to journal › Journal article › Research › peer-review

Harvard

Flensberg, K & Svensmark, H 1993, 'Scaling relations for forced oscillators in the transition from a dissipative to a Hamiltonian system', Physical Review E (Statistical, Nonlinear, and Soft Matter Physics), vol. 47, no. 3, pp. 2190-2192. https://doi.org/10.1103/PhysRevE.47.2190

APA

Flensberg, K., & Svensmark, H. (1993). Scaling relations for forced oscillators in the transition from a dissipative to a Hamiltonian system. Physical Review E (Statistical, Nonlinear, and Soft Matter Physics), 47(3), 2190-2192. https://doi.org/10.1103/PhysRevE.47.2190

Vancouver

Flensberg K, Svensmark H. Scaling relations for forced oscillators in the transition from a dissipative to a Hamiltonian system. Physical Review E (Statistical, Nonlinear, and Soft Matter Physics). 1993 Mar 1;47(3):2190-2192. https://doi.org/10.1103/PhysRevE.47.2190

Author

Flensberg, Karsten ; Svensmark, Henrik. / Scaling relations for forced oscillators in the transition from a dissipative to a Hamiltonian system. In: Physical Review E (Statistical, Nonlinear, and Soft Matter Physics). 1993 ; Vol. 47, No. 3. pp. 2190-2192.

Bibtex

@article{f7fa5a8d61f749f6ae5fe8a0e929fbd0,
title = "Scaling relations for forced oscillators in the transition from a dissipative to a Hamiltonian system",
abstract = "The dynamics and the stability of a forced damped nonlinear oscillator driven at twice its resonance frequency is studied. At the transition from a dissipative system to a Hamiltonian system, simple scalings relations are found by the use of the Floquet theory of the linearized problem. The Floquet exponents and the period-doubling bifurcation point are determined analytically in the limit of small damping. The theory is compared to numerical calculations on a Duffing oscillator and excellent agreement is found.",
author = "Karsten Flensberg and Henrik Svensmark",
year = "1993",
month = mar,
day = "1",
doi = "10.1103/PhysRevE.47.2190",
language = "English",
volume = "47",
pages = "2190--2192",
journal = "Physical Review E",
issn = "2470-0045",
publisher = "American Physical Society",
number = "3",

}

RIS

TY - JOUR

T1 - Scaling relations for forced oscillators in the transition from a dissipative to a Hamiltonian system

AU - Flensberg, Karsten

AU - Svensmark, Henrik

PY - 1993/3/1

Y1 - 1993/3/1

N2 - The dynamics and the stability of a forced damped nonlinear oscillator driven at twice its resonance frequency is studied. At the transition from a dissipative system to a Hamiltonian system, simple scalings relations are found by the use of the Floquet theory of the linearized problem. The Floquet exponents and the period-doubling bifurcation point are determined analytically in the limit of small damping. The theory is compared to numerical calculations on a Duffing oscillator and excellent agreement is found.

AB - The dynamics and the stability of a forced damped nonlinear oscillator driven at twice its resonance frequency is studied. At the transition from a dissipative system to a Hamiltonian system, simple scalings relations are found by the use of the Floquet theory of the linearized problem. The Floquet exponents and the period-doubling bifurcation point are determined analytically in the limit of small damping. The theory is compared to numerical calculations on a Duffing oscillator and excellent agreement is found.

U2 - 10.1103/PhysRevE.47.2190

DO - 10.1103/PhysRevE.47.2190

M3 - Journal article

C2 - 9960242

VL - 47

SP - 2190

EP - 2192

JO - Physical Review E

JF - Physical Review E

SN - 2470-0045

IS - 3

ER -

ID: 129606410