| Authors | _ |
|---|
| Journal | Bulletin of the Iranian Mathematical Society |
|---|
| Page number | 1-16 |
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| Paper Type | Full Paper |
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| Published At | 2021 |
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| Journal Grade | ISI |
|---|
| Journal Type | Electronic |
|---|
| Journal Country | Iran, Islamic Republic Of |
|---|
| Journal Index | JCR،isc،Scopus |
|---|
Abstract
We develop methods giving sufficient conditions for the existence of bounded solutions
near homoclinic orbits of planar R.D.E.s. We provide families of bounded solutions
near the homoclinic by decomposing the corresponding variational equation of the
system on the space of solutions. We apply the results for controlling a power-law
oscillatory system with a retarded feedback control. Our results are numerically verifiable
and do not meet the restrictions of classic methods (such as Melnikov’s integrals
and Poincare’s map).
Paper URL
