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LIMIT CYCLES IN HIGHLY NON-LINEAR DIFFERENTIAL EQUATIONS

โœ Scribed by S. LYNCH; C.J. CHRISTOPHER

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
142 KB
Volume
224
Category
Article
ISSN
0022-460X

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โœฆ Synopsis

This paper is concerned with both small-amplitude and large-amplitude limit cycle bifurcations of planar di!erential systems. The analysis is not restricted to minimal models with few non-linear terms, in fact, the novel approach adopted here is to consider di!erential equations containing highly non-linear terms in both the damping and restoring coe$cients. The maximum number of limit cycles which may be bifurcated in a small region of the origin is given for certain classes of the more generalised mixed (Rayleigh}LieH nard) oscillator equations of the form xK #( f (x)#h(xR ))xR #g(x)"0. Certain mechanical systems are investigated.

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