For citation:
Bakaleinikov L. A. On the method of the construction of the dynamic system with the homoclinic trajectory of saddle equilibrium point. Izvestiya VUZ. Applied Nonlinear Dynamics, 1996, vol. 4, iss. 3, pp. 3-9.
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Russian
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Article type:
Article
UDC:
517.9
On the method of the construction of the dynamic system with the homoclinic trajectory of saddle equilibrium point
Autors:
Bakaleinikov Leonid Aleksandrovich, Ioffe Institute
Abstract:
The task of the creation of the system that has the homoclinic trajectory and coinsides with the initial one in some vicinity of equilibrium point from the system with saddle point is solved in the paper. The way of the construction of the right parts of the modified system is given.
Key words:
Acknowledgments:
In conclusion, the author thanks A.S. Zilbergleit and E.V. Galaktionov for useful discussions and interest in the work.
The work was carried out with partial support from the Russian Foundation for Basic Research, project 93-02-2611.
Reference:
- Wiggins S. Global Bifurcations and Chaos: Analytical Methods. New York: Springer; 1988. 494p. DOI: 10.1007/978-1-4612-1042-9.
- Bakaleinikov LA, Galaktionov EV. Existence of a homoclinical trajectory in the model of a connected spin system of electrons and nuclei in semiconductors under conditions of optical orientation. Tech. Phys. 1994;64(10):8-21.
- Bakaleinikov LA, Silbergleit AS. On the applicability of the approximate Poincare’ mapping to the analysis of dynamics induced by ODE systems. I. Proximity оf mappings. Physica D. 1995;83(4):326-341. DOI: 10.1016/0167-2789(94)00236-J.
Received:
27.12.1994
Accepted:
30.10.1995
Published:
15.12.1996
Journal issue:
- 167 reads