Periodic and Heteroclinic Orbits for a Periodic Hamiltonian System

Abstract

The existence of multiple periodic solutions of second order Hamiltonian systems are studied which are both forced periodically in time and depend periodically on the dependent variables. Consider the Hamiltonian system: q(double dot) + V' (q) = 0 where q = (q(1),....,q(n)) and V is periodic in q sub i, 1 < or =i < or = n. It is known the the equation then possesses at least n + 1 equilibrium solutions. One can give criteria for V so that the equation has non-constant periodic solutions and (b) prove the existence of multiple heteroclinic orbits joining maxima of V. Keywords: Hamiltonian system; Periodic solution; Heteroclinic solutions.

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Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1988
Accession Number
ADA204078

Entities

People

  • Paul Rabinowitz

Organizations

  • University of Wisconsin–Madison

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  • Air Platforms
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  • Mathematics

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  • Applied Combinatorial Optimization and Logic Circuit Design.
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