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The construction of homo- and heteroclinic orbits in non-linear systems

โœ Scribed by G.V. Manucharyan; Yu.V. Mikhlin

Publisher
Elsevier Science
Year
2005
Tongue
English
Weight
552 KB
Volume
69
Category
Article
ISSN
0021-8928

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โœฆ Synopsis

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 non-autonomous Duffing equation, the equations of vibrations of a parametrically driven mathematical pendulum, and the van der Pol-Duffing equation with non-linear elastic characteristic.

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