Мобильная версия

Доступно журналов:

3 288

Доступно статей:

3 891 637

 

Скрыть метаданые

Автор Menck, Jürgen
Дата выпуска 1992
dc.description We develop explicit criteria for the occurrence of a tertiary Hopf bifurcation, and stability of the bifurcating orbits, in a special class of two-parameter systems of ordinary differential equations. We use these results to discuss tertiary Hopf and torus bifurcations in some bifurcation problems with symmetries such as steady-state-Hopf and Hopf-Hopf interaction problems. To analyse (and even detect) these bifurcations we use invariant coordinates and rescaling techniques
Формат application.pdf
Издатель Oxford University Press
Копирайт Copyright Taylor and Francis Group, LLC
Название A tertiary hopf bifurcation with applications to problems with symmetries
Тип research-article
DOI 10.1080/02681119208806130
Electronic ISSN 1465-3389
Print ISSN 0268-1110
Журнал Dynamics and Stability of Systems
Том 7
Первая страница 111
Последняя страница 137
Аффилиация Menck, Jürgen; Institut für Angewandte Mathematik der Universtiät Hamburg
Выпуск 2
Библиографическая ссылка Chow, S. N. and Hale, J. 1982. Mehtods of Bifurcation Theory, New York: Springer.
Библиографическая ссылка Flockerzi, D. 1987. “Persistence and bifurcation of invariant tori”. In Oscillation, Bifurcation and Chaos, CMS Conference Proceedings Vol. 8, 419–441.
Библиографическая ссылка Freedman, H.I. 1980. Deterministic Mathematical Models in Population Ecology, New York: Marcel Dekker.
Библиографическая ссылка Golubitsky, M. 1988. Pattern formation and bistability in flow between counterrotating cyimders. Physica, D32: 362–392.
Библиографическая ссылка Golubitsky, M. 1985. Singularities and Groups in Bifurcation Theory, Vol. 1, New York: Springer.
Библиографическая ссылка Golubitsky, M., Stewart, I. N. and Schaeffer, D. G. 1988 . Singularities and Groups in Bifurcation Theory, Vol. 2, New York: Springer.
Библиографическая ссылка Guckenheimer, J. Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields 2nd printing
Библиографическая ссылка Iooss, G. and Langford, W. F. 1980. “Interactions of Hopf and pitchfork bifurcations”. In Bifurcation Problems and their Numerical Solution, 103–134. Berlin: Birkhäuser.
Библиографическая ссылка Krupa, M. 1988. “Bifurcation of critical group orbits”. Doctoral Thesis, University of Houston .
Библиографическая ссылка Langford, W.F. 1979. Periodic and steady-state mode interactions lead to tori. SIAM Journal on Applied Mathematics, 37: 22–48.
Библиографическая ссылка Marsden, J. E. and McCracken, M. 1976 . The Hopf Bifurcation and its Applications , New York: Springer.
Библиографическая ссылка Menck, J. 1988. “Verzweigungssequenzen für eine Klasse zwelparametriger Systeme, unter besonderer Berücksichtigung einer -Symmetrie”. Diploma Thesis, University of Hamburg..
Библиографическая ссылка Scheurle, J. and Marsden, J. E. 1984. Bifurcation to quasi-periodic tori in the interaction of steady state and Hopf bifurcations. SIAM Journal on Mathematical Analysis, 15: 1055–1074.

Скрыть метаданые