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End date: 2023 × Start date: 2020 × DDC: 530 × Has files: Yes × Subject: Differential equations × Subject: Konferenzschrift × WGL Institute: WIAS ×

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    Robust homoclinic orbits in planar systems with Preisach hysteresis operator
    (Bristol : IOP Publ., 2016) Pimenov, Alexander; Rachinskii, Dmitrii
    We construct examples of robust homoclinic orbits for systems of ordinary differential equations coupled with the Preisach hysteresis operator. Existence of such orbits is demonstrated for the first time. We discuss a generic mechanism that creates robust homoclinic orbits and a method for finding them. An example of a homoclinic orbit in a population dynamics model with hysteretic response of the prey to variations of the predator is studied numerically.
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    Far field imaging of a dielectric inclusion
    (Bristol : IOP Publ., 2015) Wahab, Abdul; Ahmed, Naveed; Abbas, Tasawar
    A non-iterative topological sensitivity framework for guaranteed far field detection of a dielectric inclusion is presented. The cases of single and multiple measurements of the electric far field scattering amplitude at a fixed frequency are taken into account. The performance of the algorithm is analyzed theoretically in terms of resolution, stability, and signal-to-noise ratio.