Publicación: MEDIUM AMPLITUDE LIMIT CYCLES IN SECOND ORDER PERTURBED POLYNOMIAL LIÉNARD SYSTEMS
Fecha
2019
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JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
Resumen
WE CONSIDER POLYNOMIAL GENERALIZED LIÉNARD SYSTEMS THAT COME FROM SECOND ORDER POLYNOMIAL PERTURBATIONS OF A LINEAR CENTER. FOR THESE SYSTEMS WE FOUND A GENERIC (OPEN AND DENSE) SUBSET IN THE SPACE OF PERTURBATIONS OF DEGREE 2L, WITH , SUCH THAT EACH ASSOCIATED PERTURBED GENERALIZED LIÉNARD SYSTEM HAS AT MOST MEDIUM LIMIT CYCLES. MOREOVER, WE SHOW THAT THIS UPPER BOUND IS REACHED. IN ADDITION, SOME CONCRETE EXAMPLES ARE GIVEN.
