FRACTIONAL HARMONIC SYNCHRONIZATION IN THE DUFFING-RAYLEIGH DIFFERENTIAL EQUATION-Reference-Cited by-同舟云学术

FRACTIONAL HARMONIC SYNCHRONIZATION IN THE DUFFING-RAYLEIGH DIFFERENTIAL EQUATION

Published:1994-04 Issue:02 Volume:04 Page:411-426
ISSN:0218-1274
Container-title:International Journal of Bifurcation and Chaos
language:en
Short-container-title:Int. J. Bifurcation Chaos

Author:

QRIOUET M.¹,MIRA C.¹

Affiliation:

1. GESNLA-LESIA, Institut National des Sciences Appliquées, Complexe Scientifique de Rangueil, 31077 Toulouse cedex, France

Abstract

The considered Duffing-Rayleigh equation is submitted to an external periodic driving force. Bifurcation properties of three families of fractional harmonic (or ultra-subharmonic) solutions are analysed. Notions of irreducible harmonics and reducible harmonics are introduced. They correspond to different properties of the associated periodic solutions.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modeling and Simulation,Engineering (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218127494000277

Cited by 8 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Nonlinear Maps: From the Toulouse Colloqium (1973) to NOMA’13;Nonlinear Maps and their Applications;2015

2. Low-frequency behavior in a frictionally excited beam;Journal of Sound and Vibration;2009-09

3. ANALYSIS OF TORUS BREAKDOWN INTO CHAOS IN A CONSTRAINT DUFFING VAN DER POL OSCILLATOR;International Journal of Bifurcation and Chaos;2008-04

4. BEHAVIOR OF HARMONICS GENERATED BY A DUFFING TYPE EQUATION WITH A NONLINEAR DAMPING: PART I;International Journal of Bifurcation and Chaos;2005-10

5. Signal detection for frequency-shift keying via short-time stochastic resonance;Physics Letters A;2005-09