| Title:
|
On a codimension three bifurcation (English) |
| Author:
|
Medveď, Milan |
| Language:
|
English |
| Journal:
|
Časopis pro pěstování matematiky |
| ISSN:
|
0528-2195 |
| Volume:
|
109 |
| Issue:
|
1 |
| Year:
|
1984 |
| Pages:
|
3-26 |
| . |
| Category:
|
math |
| . |
| MSC:
|
37G99 |
| idZBL:
|
Zbl 0542.58022 |
| idMR:
|
MR741206 |
| DOI:
|
10.21136/CPM.1984.118193 |
| . |
| Date available:
|
2009-09-23T09:23:53Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/118193 |
| . |
| Reference:
|
[1] B. И. Apнoльд: Лeкции o бифypкaцияx и вepcaльныx ceмeйcтвax.УMH 27, вып. 5 (1972), 119-185. |
| Reference:
|
[2] B. И. Apнoльд: Дoпoлнитeльныe глaвы тeopии oбыкнoвeнныx диффepeнциaльныx ypaвнeний.Hayкa, Mocквa 1978. |
| Reference:
|
[3] P. И. Бoгдaнoв: Bepcaльнaя дeфopмaция ocoбoй тoчки вeктopнoгo пoля нa плocкocти cлyчae нyлeвыx coбcтвeнныx чиceл.Tpyды ceминapa им. И. Г. Пeтpoвcкoгo, вып. 2, Изд-вo Mocк. yн-тa (1976), 37-65. |
| Reference:
|
[4] J. Carr: Applications of center manifold theory.Appl. Math. Sciences 35, Springer-Verlag, New York 1981. MR 0635782 |
| Reference:
|
[5] S. N. Chow J. K. Hale: Bifurcation and nonlinear oscillations.Prepгint, Lefschetz Center for Dynamical Ѕystems, 1980. |
| Reference:
|
[6] S. N. Chow J. Hale: Metһоds оf Bifurcatiоn Theогy.Ѕpringer-Verlag, New Yогk 1982. MR 0660633 |
| Reference:
|
[7] H. K. Гaвpuлoв: O нeкотоpыx бифypкaцияx cоcтояния paвновecия c одним нyлeвым и пapой чиcто мнимыx коpнeй.Сб. Meтоды кaчeтcвeнной тeоpии диффepeнциaльныx ypaвнeний, Гоpький 1978, 33-40. |
| Reference:
|
[8] J. Guckenheimer: On a cоdimensiоn twо bifurcatiоn.Prepгint, University оf Сalifоmia at Ѕanta Сгuz, Сalifоrnia 1979. |
| Reference:
|
[9] J. Guckenheimer: Multiple Bifuгcatiоn Pгоblems оf Соdimensiоn Twо.Prepгint 1980. |
| Reference:
|
[10] P. Holmes: Unfоlding a degenerate nоnlinear оscillatоr: a cоdimensiоn twо bifurcatiоn.Annals оf the New Yогk Acad. оf Ѕci., Vоl. 357 (1980), 473-488. MR 0612840 |
| Reference:
|
[11] P. Holmes: A Ѕtrange Family оf Three-Dimensiоnal Vectоr Fields Near a Degenerate Ѕingularity.Ј. Differential Equatiоns 37 (1980), 382-403. MR 0589999 |
| Reference:
|
[12] P. Holmes: Сenter manifоlds, nоrmal fогms and bifurcatiоns оf vectоr fields with aplicatiоns tо cоupling between periоdic and steady mоtiоns.Physica 2D (1981), 449-481. |
| Reference:
|
[13] Y.-C. Lu: Singularity Theory and an Introduction to Сatastrophe Theory.Springer-Verlag, Berlin 1976. MR 0461562 |
| Reference:
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[14] B. Malgrange: Ideals of differentiable functions.Oxford Univ. Press 1966. Zbl 0177.17902, MR 0212575 |
| Reference:
|
[15] M. Meдвeдъ: Beктopныe пoля c ocoбeннocтью кopaзмepнocти 3 и иx пapaмeтpичecкиe дeфopмaции.Сбopник 9. мeждyнapoднoй кoнфepeнции пo нeлинeйным кoлeбaниям, Kиeв 1981. |
| Reference:
|
[16] M. Medveď: On codimension three bifurcation of a family of three-dimensional vector fields.Proceedings of the Сonference on Differential Equations-Equadiff 82, Würzburg 1982, Springer-Verlag 1983, 453-461. MR 0726604 |
| . |
