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Index and Stability of Symmetric Periodic Orbits in Hamiltonian Systems with Application to Figure-Eight Orbit
Index and Stability of Symmetric Periodic Orbits Hamiltonian Systems Application to Figure-Eight Orbit
2015/4/3
Index and Stability of Symmetric Periodic Orbits in Hamiltonian Systems with Application to Figure-Eight Orbit.
The structure and evolution of confined tori near a Hamiltonian Hopf Bifurcation
Chaos and Dynamical Systems 4D surfaces of section Hopf Bifurcation Galactic
2011/3/2
We study the orbital behavior at the neighborhood of complex unstable periodic orbits in a 3D
autonomous Hamiltonian system of galactic type. At a transition of a family of periodic orbits
from stab...
The Darboux coordinates for a new family of Hamiltonian operators and linearization of associated evolution equations
Hamiltonian operators bi-Hamiltonian systems evolution equations linearization
2011/1/20
A. de Sole, V. G. Kac, and M. Wakimoto have recently introduced a new family of compatible
Hamiltonian operators of the form H(N,0) = D2 ◦ ((1/u)◦D)2n ◦D, where N = 2n+3, n = 0, 1, ...
The structure and evolution of confined tori near a Hamiltonian Hopf Bifurcation
Chaos and Dynamical Systems 4D surfaces of section Hopf Bifurcation
2010/12/28
We study the orbital behavior at the neighborhood of complex unstable periodic orbits in a 3D
autonomous Hamiltonian system of galactic type. At a transition of a family of periodic orbits
from stab...
Modal Hamiltonian interpretation of quantum mechanics and Casimir operators: the road towards quantum field theory
Modal Hamiltonian interpretation of quantum mechanics Casimir operators quantum field theory
2011/3/2
The general aim of this paper is to extend the Modal-Hamiltonian interpretation of quantum mechanics to the case of relativistic quantum mechanics with gauge U(1) fields.
On the stability of Hamiltonian relative equilibria with non-trivial isotropy
Hamiltonian relative equilibria with non-trivial isotropy
2010/11/11
We consider Hamiltonian systems with symmetry, and relative equilibria with isotropy subgroup of positive dimension. The stability of such relative equilibria has been studied by Ortega and Ratiu and ...
SYMPLECTIC MULTISTEP METHODS FOR LINEAR HAMILTONIAN SYSTEMS
symplectic multistep methods linear Hamiltonian systems
2007/12/10
Three classes of symplectic multistep methods for linear Hamiltonian systems are constructed and their stabilities are discussed in this paper.