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ON THE DYNAMICS OF AN EXTENDED ANHARMONIC OSCILLATOR: APPLICATIONS

Vesselin Kyurkchiev, Maria Vasileva, Angel Golev, Todorka Terzieva, Anton Iliev, Asen Rahnev

Abstract


Using Melnikov’s method, the existence of chaotic behaviour in thesense of Smale in an extended anharmonic oscillator is established. We demonstratesome modules for investigating the dynamics of the proposed model. This will beincluded as an integral part of a planned much more general Web-based application forscientific computing. One possible application that Melnikov functions may find in themodeling of radiating antenna patterns is considered.

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