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Periodic Solutions of Hamiltonian Systems
SIAM Journal on Mathematical Analysis, 2000Summary: Two sequences of periodic solutions with large and small norms, respectively, are obtained for Hamiltonian systems of the type \[ -{\mathcal J}\dot{z}=\xi F_z(t,z)+\eta G_z(t,z), \] where \(F\) is superquadratic at \(z=\infty\) and \(G\) is subquadratic at \(z=0\).
Yanheng Ding, Cheng Lee
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Normalization of a Periodic Hamiltonian System
Programming and Computer Software, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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2000
Abstract When a system involves no dissipative mechanisms such as friction, we say that the system is conservative because its total energy is conserved and the behaviour is described by a time-independent Hamiltonian function. In that case, the notion of attractor no longer applies. Different initial conditions (starting points in state
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Abstract When a system involves no dissipative mechanisms such as friction, we say that the system is conservative because its total energy is conserved and the behaviour is described by a time-independent Hamiltonian function. In that case, the notion of attractor no longer applies. Different initial conditions (starting points in state
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On the theory of hamiltonian systems
Journal of Applied Mathematics and Mechanics, 1970openaire +1 more source
The trace identity, a powerful tool for constructing the Hamiltonian structure of integrable systems
Journal of Mathematical Physics, 1989Tu Gui-Zhang
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Homoclinic solutions for a class of second-order Hamiltonian systems
Journal of Mathematical Analysis and Applications, 2009X H Tang
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Structure-preserving tangential interpolation for model reduction of port-Hamiltonian systems
Automatica, 2012Serkan Gugercin +2 more
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Homoclinic solutions for nonautonomous second-order Hamiltonian systems with a coercive potential
Journal of Mathematical Analysis and Applications, 2009X H Tang
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