Prediction of homoclinic bifurcation: the elliptic averaging method
- 30 November 2000
- journal article
- research article
- Published by Elsevier in Chaos, Solitons, and Fractals
- Vol. 11 (14), 2251-2258
- https://doi.org/10.1016/s0960-0779(99)00144-7
Abstract
No abstract availableKeywords
This publication has 14 references indexed in Scilit:
- Homoclinic bifurcations in self-excited oscillatorsMechanics Research Communications, 1996
- AN ELLIPTIC PERTURBATION METHOD FOR CERTAIN STRONGLY NON-LINEAR OSCILLATORSJournal of Sound and Vibration, 1996
- Averaging using elliptic functions: approximation of limit cyclesActa Mechanica, 1990
- Extension and improvement to the Krylov-Bogoliubov methods using elliptic functionsInternational Journal of Control, 1989
- Construction of approximate analytical solutions to a new class of non-linear oscillator equationsJournal of Sound and Vibration, 1986
- On infinite period bifurcations with an application to roll wavesActa Mechanica, 1986
- On the transient solution of the unforced duffing equation with large damping†International Journal of Control, 1971
- Further results on “Approximate solutions of non-linear, non-autonomous second-order differential equations”†International Journal of Control, 1970
- Approximate solutions of non-linear non-autonomous second-order differential equations†International Journal of Control, 1970
- An extension to the method of Kryloff and Bogoliuboff†International Journal of Control, 1969