On the Limit Cycles of a Class of Planar Singular Perturbed Differential Equations

Joint Authors

Wu, Yuhai
Zhou, Jingjing

Source

The Scientific World Journal

Issue

Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-10, 10 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2014-03-30

Country of Publication

Egypt

No. of Pages

10

Main Subjects

Medicine
Information Technology and Computer Science

Abstract EN

Relaxation oscillations of two-dimensional planar singular perturbed systems with a layer equation exhibiting canard cycles are studied.

The canard cycles under consideration contain two turning points and two jump points.

We suppose that there exist three parameters permitting generic breaking at both the turning points and the connecting fast orbit.

The conditions of one (resp., two, three) relaxation oscillation near the canard cycles are given by studying a map from the space of phase parameters to the space of breaking parameters.

American Psychological Association (APA)

Wu, Yuhai& Zhou, Jingjing. 2014. On the Limit Cycles of a Class of Planar Singular Perturbed Differential Equations. The Scientific World Journal،Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-1049395

Modern Language Association (MLA)

Wu, Yuhai& Zhou, Jingjing. On the Limit Cycles of a Class of Planar Singular Perturbed Differential Equations. The Scientific World Journal No. 2014 (2014), pp.1-10.
https://search.emarefa.net/detail/BIM-1049395

American Medical Association (AMA)

Wu, Yuhai& Zhou, Jingjing. On the Limit Cycles of a Class of Planar Singular Perturbed Differential Equations. The Scientific World Journal. 2014. Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-1049395

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1049395