A Method for Proving the Non-existence of Limit Cycles
β Scribed by S. Busenberg; P. Vandendriessche
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 551 KB
- Volume
- 172
- Category
- Article
- ISSN
- 0022-247X
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π SIMILAR VOLUMES
P&a proved that a random graph with clt log n edges is Hamiltonian with probability tending to 1 if c >3. Korsunov improved this by showing that, if Gn is a random graph with \*n log n + in log log n + f(n)n edges and f(n) --\*m, then G" is Hamiltonian, with probability tending to 1. We shall prove
The new idea of calculation of limit cycles of strongly non-linear systems and its several numerical examples were presented in [1]. It is interesting to study the calculation of limit cycles of non-linear systems further, however some defects have been found in [1].
The semi-stable limit cycle and bifurcation of strongly non-linear oscillators of the form xK #g(x)" f (x, xR , )xR is studied by the perturbation-incremental method. Firstly, the ordinary di!erential equation is transformed into an integral equation by a non-linear time transformation, then the ini