Abstract
We consider a model example of a quasilinear wave equation in the unit square with zero boundary conditions and use the method of quasinormal forms to prove that there are quite a few dichotomic cycles and tori bifurcating from zero equilibrium. A conjecture concerning the attractor structure is presented.
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Translated fromMatematicheskie Zametki, Vol. 68, No. 2, pp. 217–229, August, 2000.
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Kolesov, Y.S. The attractor problem for nonlinear wave equations in plane domains. Math Notes 68, 191–200 (2000). https://doi.org/10.1007/BF02675345
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DOI: https://doi.org/10.1007/BF02675345