Explicit transversality conditions and local bifurcation diagrams for Bogdanov–Takens bifurcation on center manifolds-Reference-Cited by-同舟云学术

Explicit transversality conditions and local bifurcation diagrams for Bogdanov–Takens bifurcation on center manifolds

Author:

Li Yang^ORCID,Kokubu Hiroshi,Aihara Kazuyuki^ORCID

Funder

NEC

JSPS

JST

Ministry of Education, Culture, Sports, Science and Technology

China Scholarship Council

Publisher

Elsevier BV

Subject

Condensed Matter Physics,Statistical and Nonlinear Physics

Reference43 articles.

1. Forced oscillations and bifurcations;Takens;Comm. Math. Inst., Rijksuniversiteit Utrecht,1974

2. Bifurcation of the limit cycle of a family of plane vector fields;Bogdanov;Tr. Semin. im. I. G. Petrovskogo,1976

3. Versal deformation of a singularity of a vector field on the plane in the case of zero eigenvalues;Bogdanov;Tr. Semin. im. I. G. Petrovskogo,1976

4. Versal deformations of equivariant vector fields for the cases of symmetry of order 2 and 3;Horozov;Tr. Semin. im. I. G. Petrovskogo,1979

5. Applications of Centre Manifold Theory;Carr,1982

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