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Periodic Solutions of Dissipative Dynamical Systems

  • Vieri Benci
  • Marco Degiovanni
Part of the Progress in Nonlinear Differential Equations and Their Applications book series (PNLDE, volume 4)

Abstract

Let M be a compact Riemannian manifold which we suppose, for the sake of simplicity, embedded in a Euclidean space and let us consider the differential equation
$$\begin{array}{*{20}{c}} {\gamma \in {C^2}(;M)}\\ {P\gamma (\gamma '') = F(t,\gamma ,\gamma ')} \end{array}$$
(1.1)
where P γ(t) is the orthogonal projection on the tangent space T γ(t) M and F(t, γ(t), γ′(t)) ∈ T γ(t) M for every t.

Keywords

Periodic Solution Finite Type Fixed Point Theory Closed Geodesic Compact Riemannian Manifold 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 1990

Authors and Affiliations

  • Vieri Benci
    • 1
  • Marco Degiovanni
    • 2
  1. 1.Istituto di Matematiche Applicate Facoltà di IngegneriaUniversità di PisaItaly
  2. 2.Dipartimento di Automazione Industriale Facoltà di IngegneriaUniversità di BresciaItaly

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