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The Quarterly Journal of Mechanics and Applied Mathematics 1980 33(3):267-276; doi:10.1093/qjmam/33.3.267
© 1980 by Oxford University Press
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ON COUPLED VAN DER POL EQUATIONS

ENOK PALM and MORTEN TVEITEREID

( Institute of Mathematics, University of Oslo Oslo 3, Norway )

The paper is concerned with coupled Van der Pol equations. The case of two coupled equations is discussed in detail. The case of N coupled equations is discussed for some special values of the parameters. It is shown that in a certain parameter domain the solution will for large values of time approach a limit cycle for all initial conditions. The case of N coupled equations is also briefly discussed in the Appendix.


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