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A New Computer-Oriented Approach to Molecular Mechanics
(University of Texas at Arlington, 1982-02)
**Please note that the full text is embargoed** ABSTRACT: A new dynamical theory for atomic and molecular dynamics is formulated and discussed. The associated nonlinear differential system is derived from general atomic ...
On Massera Type Converse Theorem in Terms of Two Different Measures (0)
(University of Texas at Arlington, 1975)
**Please note that the full text is embargoed** ABSTRACT: The importance of uniform asymptotic stability in studying the stability properties of perturbed motions needs no emphasis. The converse theorem of Massera which ...
Quasi-Invariant Manifolds, Stability, and Generalized Hopf Bifurcation
(University of Texas at Arlington, 1981-03)
**Please note that the full text is embargoed** ABSTRACT: We are interested in obtaining an analysis of the bifurcating periodic orbits arising in the generalized Hopf bifurcation problems in Rn. The existence of these ...
Generalized Transversality, Exchange of Stability and Hopf Bifurcation
(University of Texas at Arlington, 1981-02)
**Please note that the full text is embargoed** ABSTRACT: In Hopf bifurcation theory often an exchange of stability of an
equilibrium gives rise to the creation of periodic orbits for a
one parameter family of differential ...
Stability and Generalized Hopf Bifurcation Through a Reduction Principle
(University of Texas at Arlington, 1980-10)
**Please note that the full text is embargoed** ABSTRACT: We are interested in obtaining an analysis of the bifurcating periodic orbits arising in the generalized Hopf bifurcation problems in Rn. The existence of these ...
Bifurcation and Total Stability
(University of Texas at Arlington, 1981-11)
**Please note that the full text is embargoed** ABSTRACT: In this paper we are concerned with the problem of bifurcation of invariant sets from an invariant set with respect to a family of flows. In particular,
we will ...