Titlebook: Hamiltonian Dynamical Systems; History, Theory, and H. S. Dumas,K. S. Meyer,D. S. Schmidt Conference proceedings 1995 Springer-Verlag New Y

中子

Transverse Homoclinic Connections for Geodesic FlowsGiven a two dimensional Riemannian manifold for which the geodesic flow has a homoclinic (heteroclinic) connection, we show how to make a .. small perturbation of the metric for which the connection becomes transverse. We apply this result to several examples.

柳樹(shù)；枯黃

百科全書(shū)

Suspension of Symplectic Twist Maps by HamiltoniansWe extend some results of Moser [17], Bialy and Polterovitch [1], on the suspension of symplectic twist maps by Hamiltonian flows.

DALLY

Analytic Torsion, Flows and FoliationsWe present an overview of the known results in Lefschetz formulas for flows, that is, on the problem of relating the topology of a manifold to the number and nature of periodic orbits of a vector field.

omnibus

The Global Phase Structure of the Three Dimensional Isosceles Three Body Problem with Zero EnergyWe study the global flow defined by the three-dimensional isosceles three-body problem with zero energy. A new set of coordinates and a scaled time are introduced which alow the phase space to be compactified by adding boundary manifolds. Geometric argument gives an almost complete sketch of the global phase portrait of this gravitational system.

FECK

978-1-4613-8450-2Springer-Verlag New York, Inc. 1995

Pedagogy

槍支

https://doi.org/10.1007/978-1-4613-8448-9bifurcation; calculus; dynamical systems; hamiltonian system; stability

出沒(méi)

Inertia

https://doi.org/10.1007/978-3-030-65343-9der Waals interaction for . = 0, whose orbit manifold is a 2-dimensional sphere. Complementing the work of Alhassid .. and Ganesan and Lakshmanan, we show that the global flow is characterized by three parametric bifurcations of butterfly type corresponding to the dynamical symmetries of the problem.