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Bifurcations and Hamilton’s principle. (English) Zbl 0366.58003


MSC:

37J99 Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems
57R70 Critical points and critical submanifolds in differential topology
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References:

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[10] MO Moser, J.: Periodic orbits near an equilibrium and a theorem by Alan Weinstein. Commun. pure appl. Math29, 727-747 (1976) · Zbl 0346.34024 · doi:10.1002/cpa.3160290613
[11] P Palais, R.: Foundations of Global Non-linear Analysis. New York: Benjamin 1968. · Zbl 0164.11102
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[14] SO Souriau, J.-M.: Structure des Systèmes Dynamiques. Paris: Dunod 1970 · Zbl 0186.58001
[15] W1 Weinstein, A.: Normal modes for nonlinear hamiltonian systems. Inventiones math.20, 47-57 (1973) · Zbl 0264.70020 · doi:10.1007/BF01405263
[16] W2 Weinstein, A.: Symplectic V-manifolds, periodic orbits of hamiltonian systems, and the volume of certain riemannian manifolds. Commun. pure appl. Math.30, 265-271 (1977) · Zbl 0339.58007 · doi:10.1002/cpa.3160300207
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