Qualitative Behavior

  • Florin DiacuEmail author
Part of the Atlantis Series in Dynamical Systems book series (ASDS, volume 1)


In this chapter we will describe some qualitative dynamical properties for the positive elliptic, positive elliptic-elliptic, negative elliptic, negative hyperbolic, and negative elliptic-hyperbolic RE, under the assumption that they exist. (Examples of such solutions will be given in Part IV for various values of N and of the masses \( {\text{m}}_{ 1} , {\text{m}}_{ 2} ,\ldots , {\text{m}}_{\text{N}} { > 0} . \)) For this purpose we will also provide some geometric-topologic considerations about \( {\text{S}}_{ 3} \) and \( {\text{H}}_{ 3} \).


Great Circle Relative Equilibrium Qualitative Behavior Total Angular Momentum Solid Torus 
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Copyright information

© Florin Diacu 2012

Authors and Affiliations

  1. 1.Department of Mathematics and StatisticsUniversity of VictoriaVictoriaCanada

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