The Conley index for fast-slow systems II: Multi-dimensional slow variable
نویسندگان
چکیده
We use Conley index theory to develop a general method used to prove existence of periodic and heteroclinic orbits in a singularly perturbed system of ODE’s. This is a continuation of the authors’ earlier work [9] which Supported by NSF Grant INT-0089631 and by JSPS Japan-U.S. Cooperative Science Program. Partially supported by NSF EIA-BITS grant 426411. Partially supported by Grant-in-Aid for Scientific Research (No.1434055), Ministry of Education, Science, Technology, Culture and Sports, Japan. Partially supported by Grant-in-Aid for Scientific Research (No.14540219), Ministry of Education, Science, Technology, Culture and Sports, Japan.
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Connecting Fast-slow Systems and Conley Index Theory via Transversality
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