A system of two hyperbolic equations describing the interaction of a complex nucleon field with a real meson field is considered in a domain of Rⁿ, n 3. The global finite-dimensional attractor is constructed for slightly damped equations driven by exterior forces. The asymptotic behavior of such attractors is studied for a singular perturbation problem. Some estimates on the decay of solutions of homogeneous systems are also established.
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Piotr Biler (1990) studied this question.
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