Paul Rabinowitz

Address: Madison, WI 53706, USA

E-mail: rabinowi@math.wisc.edu

University: Department of Mathematics, University of Wisconsin-Madison

Publications:

Rabinowitz P. H.

Gluing a Mountain Pass Solution to a Minimum
2009, vol. 14, no. 1, pp. 163-178

Abstract

This paper presents a variational method for constructing solutions of a pendulum model equation that shadow a mountain pass solution glued to a minimum of the associated functional. It allows for more degenerate situations and gives more qualitative information than the classical Poincare–Birkho–Smale theory.

Keywords: variational methods, minima, mountain pass solutions, hybrid solutions, invariant region, heat flow

Citation: Rabinowitz P. H., Gluing a Mountain Pass Solution to a Minimum, Regular and Chaotic Dynamics, 2009, vol. 14, no. 1, pp. 163-178

DOI:10.1134/S1560354709010110

Bolotin S. V., Rabinowitz P. H.

Heteroclinic Geodesics for a Class of Manifolds With Symmetry
1998, vol. 3, no. 4, pp. 49-62

Abstract

The results of Morse and Hedlund about minimal heteroclinic geodesics on surfaces are generalized to a class of Finsler manifolds possessing a symmetry. The existence of minimal heteroclinic geodesics is established. Under an assumption that the set of such geodesics has certain compactness properties, multibump chaotic geodesics are constructed.

Citation: Bolotin S. V., Rabinowitz P. H., Heteroclinic Geodesics for a Class of Manifolds With Symmetry, Regular and Chaotic Dynamics, 1998, vol. 3, no. 4, pp. 49-62

DOI:10.1070/RD1998v003n04ABEH000092

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