Europhys. Lett.
Volume 48, Number 6, December 1999
Page(s) 603 - 609
Section General
Published online 01 September 2002
DOI: 10.1209/epl/i1999-00526-5

Europhys. Lett, 48 (6), pp. 603-609 (1999)

A generic input-output analysis of zero-dispersion nonlinear resonance

M.-C. Ho 1, J.-Y. Ko 2, T.-H. Yang 2 and J.-L. Chern 2

1 Department of Physics, National Kaohsiung Normal University
Kaohsiung 802, Taiwan, ROC
2 Nonlinear Science Group, Department of Physics, National Cheng Kung University
Tainan 70101, Taiwan, ROC

(received 16 August 1999; accepted in final form 15 October 1999)

PACS. 05.45${\rm -a}$ - Nonlinear dynamics and nonlinear dynamical systems.
PACS. 05.60${\rm -k}$ - Transport processes.


When a nonlinear oscillator is driven externally, it may become transparent, i.e., the output response appears without any dispersion or distortion. Such counter-intuitive feature, in fact, is a unique zero-dispersion nonlinear resonance (ZDNR). Herein, it is examined on the base of a generic input-output analysis. The conditions for ZDNR have been clarified and a power law relation has been established to feature the interplay with noise.


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