Joe M. Hill, Noel G. Lloyd, Jane M. Pearson
Abstract:
We present conditions for the origin to be a centre for a class
of cubic systems. Some of the centre conditions are determined
by finding complicated invariant functions. We also investigate
the coexistence of fine foci and the simultaneous bifurcation of
limit cycles from them.
Submitted August 10, 2007. Published September 6, 2007.
Math Subject Classifications: 34C07, 37G15.
Key Words: Nonlinear differential equations; invariant curves;
limit cycles.
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Joe M. Hill Institute of Mathematical and Physical Sciences Aberystwyth University, Ceredigion SY23 3BZ, Wales, UK email: jyh@aber.ac.uk |
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Noel G. Lloyd Institute of Mathematical and Physical Sciences Aberystwyth University, Ceredigion SY23 3BZ, Wales, UK email: ngl@aber.ac.uk |
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Jane M. Pearson Institute of Mathematical and Physical Sciences Aberystwyth University, Ceredigion SY23 3BZ, Wales, UK email: jmp@aber.ac.uk |
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