|
|||||
|
|
|
|
|
|
|
|
|
Transversally perturbed
planar dynamical systems
Roger McCann |
|
Vol. 35 (1970), No. 1, 187–194
|
Abstract |
|
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
|
Milestones
Received: 22 December 1969
Published: 1 October 1970
|
Authors |
| Roger McCann | |
|
