A topological degree for orbits connecting critical points of autonomous systems |
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| Authors: | MS Mock |
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| Institution: | Department of Mathematics, Rutgers University, New Brunswick, New Jersey 08903 U.S.A. |
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| Abstract: | An argument based on topological degree is used to obtain an existence theorem for orbits connecting two critical points of an autonomous system. The result is applied to the existence of viscous profiles approximating shock waves in weak solutions of systems of nonlinear conservation laws. A result for the case where the Morse indices of the two critical points differ by more than one is also obtained. |
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