scholarly journals An almost existence theorem for non-contractible periodic orbits in cotangent bundles

2012 ◽  
Vol 6 (2) ◽  
pp. 385 ◽  
Author(s):  
Pedro A.S. Salomão ◽  
Joa Weber
Keyword(s):  
Existence Theorem ◽  
Periodic Orbits ◽  
Cotangent Bundles

scholarly journals The Lusternik–Fet theorem for autonomous Tonelli Hamiltonian systems on twisted cotangent bundles

2016 ◽  
Vol 08 (03) ◽  
pp. 545-570 ◽  
Author(s):  
Luca Asselle ◽  
Gabriele Benedetti
Keyword(s):  
Periodic Orbits ◽  
Hamiltonian Systems ◽  
Symplectic Form ◽  
Critical Value ◽  
Closed Manifold ◽  
Hamiltonian Flow ◽  
Cotangent Bundles ◽  
Almost All

Let [Formula: see text] be a closed manifold and consider the Hamiltonian flow associated to an autonomous Tonelli Hamiltonian [Formula: see text] and a twisted symplectic form. In this paper we study the existence of contractible periodic orbits for such a flow. Our main result asserts that if [Formula: see text] is not aspherical, then contractible periodic orbits exist for almost all energies above the maximum critical value of [Formula: see text].

scholarly journals On periodic orbits in cotangent bundles of non-compact manifolds

2016 ◽  
Vol 14 (4) ◽  
pp. 1145-1173 ◽  
Author(s):  
J.B. van den Berg ◽  
F. Pasquotto ◽  
T. Rot ◽  
R.C.A.M. Vandervorst
Keyword(s):  
Periodic Orbits ◽  
Compact Manifolds ◽  
Cotangent Bundles

scholarly journals Relative Hofer-Zehnder capacity and periodic orbits in twisted cotangent bundles

2004 ◽  
Vol 123 (1) ◽  
pp. 1-47 ◽  
Author(s):  
Viktor L. Ginzburg ◽  
Başak Z. Gürel
Keyword(s):  
Periodic Orbits ◽  
Cotangent Bundles

Adaptive Control of Transient Dynamics to Periodic Orbits

2014 ◽  
Vol 2 ◽  
pp. 82-85
Author(s):  
Hiroyasu Ando ◽  
Kazuyuki Aihara
Keyword(s):  
Adaptive Control ◽  
Periodic Orbits ◽  
Transient Dynamics
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