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BIFURCATIONS AND CHAOS IN HAMILTONIAN SYSTEMS
International Journal of Bifurcation and Chaos, 2010This paper deals with the use of recent computational techniques in the numerical study of qualitative properties of two degrees of freedom of Hamiltonian systems. These numerical methods are based on the computation of the OFLI2 Chaos Indicator, the Crash Test and exit basins and the skeleton of symmetric periodic orbits.
Roberto Barrio +2 more
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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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Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences, 1987
Abstract Modern developments in hamiltonian dynamics are described, showing the change of view that has occurred in the last few decades. The properties of mixed systems, which exhibit both regular and chaotic motion are contrasted with those of the integrable systems, for which the motion is entirely regular, and of Anosov systems ...
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Abstract Modern developments in hamiltonian dynamics are described, showing the change of view that has occurred in the last few decades. The properties of mixed systems, which exhibit both regular and chaotic motion are contrasted with those of the integrable systems, for which the motion is entirely regular, and of Anosov systems ...
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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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Discussion on applicability of the complex fractional moment method in Hamiltonian system
Chaos, Solitons and Fractals, 2023Lizhi Niu, Tongtong Sun
exaly
On the theory of hamiltonian systems
Journal of Applied Mathematics and Mechanics, 1970openaire +1 more source
Korteweg-de Vries equation: A completely integrable Hamiltonian system
Functional Analysis and Its Applications, 1972Vladimir Zakharov +2 more
exaly