Vol. 35, No. 1, 1970

Download this article
Download this article. For screen
For printing
Recent Issues
Vol. 328: 1
Vol. 327: 1  2
Vol. 326: 1  2
Vol. 325: 1  2
Vol. 324: 1  2
Vol. 323: 1  2
Vol. 322: 1  2
Vol. 321: 1  2
Online Archive
The Journal
Editorial Board
Submission Guidelines
Submission Form
Policies for Authors
ISSN: 1945-5844 (e-only)
ISSN: 0030-8730 (print)
Special Issues
Author Index
To Appear
Other MSP Journals
Transversally perturbed planar dynamical systems

Roger McCann

Vol. 35 (1970), No. 1, 187–194

This paper investigates the behavior of limit cycles of a planar dynamical system which has been perturbed transversally. In particular, it is shown that if C is a limit cycle of the unperturbed dynamical system, then there are limit cycles of the perturbed dynamical systems arbitrarily close to C. Also, if C is an exterior Iimit cycle of the unperturbed dynamical system, then there is an outer neighborhood of C which consists solely of cycles of the perlurbed dynamical systems.

Mathematical Subject Classification
Primary: 54.82
Secondary: 34.00
Received: 22 December 1969
Published: 1 October 1970
Roger McCann