Chengzhi Li and Jaume Llibre 2009 Nonlinearity 22 2971 doi:10.1088/0951-7715/22/12/009
Chengzhi Li1 and Jaume Llibre2
Show affiliationsRecommended by C-Q Cheng
We prove that by perturbing the periodic annulus of the quadratic polynomial reversible Lotka–Volterra differential system
,
, inside the class of all quadratic polynomial differential systems we can obtain at most two limit cycles.
05.45.-a Nonlinear dynamics and nonlinear dynamical systems
Issue 12 (December 2009)
Received 14 December 2008, in final form 7 October 2009
Published 30 October 2009
Chengzhi Li and Jaume Llibre 2009 Nonlinearity 22 2971
Ingo Kirsch and Djordje Sijacki 2002 Class. Quantum Grav. 19 3157
Axel Gelfert and Wolfgang Nolting 2001 J. Phys.: Condens. Matter 13 R505
D B Fairlie 2004 J. Phys. A: Math. Gen. 37 5375
A Taranenko (for the PHENIX Collaboration) 2007 J. Phys. G: Nucl. Part. Phys. 34 S1069
K Ueda et al 1999 J. Phys. B: At. Mol. Opt. Phys. 32 L291
P Exner et al 2001 J. Phys. A: Math. Gen. 34 9733
R Balasubramanian et al 2005 Class. Quantum Grav. 22 3015
B R Judd 1980 J. Phys. C: Solid State Phys. 13 2695
S Brian Edgar and José M M Senovilla 2004 Class. Quantum Grav. 21 L133