A novel construction of homoclinic and heteroclinic orbits in
β Scribed by Y. Y. Cao; K. W. Chung; J. Xu
- Publisher
- Springer Netherlands
- Year
- 2011
- Tongue
- English
- Weight
- 702 KB
- Volume
- 64
- Category
- Article
- ISSN
- 0924-090X
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π SIMILAR VOLUMES
Pad6 and quasi-Pad6 approximants are used to construct homo-and heteroclinic orbits of non-linear systems. By using the convergence condition for Pad6 approximants and the conditions at infinity the problem can be solved with sufficiently high accuracy. Actual computations are carried out for the no
A structural system with an unstable post-buckling response that subsequently restabilizes has the potential to exhibit hnmoclinic connections from the fundamenta]! equilibrium state to itself over a range of loads, and heteroclinic connections between fundamental and periodic equilibrium states ove
Holmes-Melnikov criteria for chaotic vibrations of a non-linear oscillator having three stable and two unstable equilibrium positions are obtained in analytic form. The chaotic threshold for homoclinic and heteroclinic bifurcations is studied as a function of two parameters: the frequency v of the d