K Efstathiou
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A geometric fractional monodromy theorem
We prove the existence of fractional monodromy for two degree of freedom integrable Hamiltonian systems with one-parameter families of …
H. W. Broer
,
K. Efstathiou
,
O. V. Lukina
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Fractional bidromy in the vibrational spectrum of HOCl
We introduce the notion of fractional bidromy which is the combination of fractional monodromy and bidromy, two recent generalizations …
E. Assémat
,
K. Efstathiou
,
M. Joyeux
,
D. Sugny
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Integrable Hamiltonian systems with swallowtails
We consider two degree of freedom integrable Hamiltonian systems with bifurcation diagrams containing swallowtail structures. The …
K. Efstathiou
,
D. Sugny
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Normalization and global analysis of perturbations of the hydrogen atom
The hydrogen atom perturbed by sufficiently small homogeneous static electric and magnetic fields of arbitrary mutual alignment is a …
K. Efstathiou
,
D. A. Sadovskií
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Complete classification of qualitatively different perturbations of the hydrogen atom in weak near-orthogonal electric and magnetic fields
We consider perturbations of the hydrogen atom by sufficiently small homogeneous static electric and magnetic fields in near orthogonal …
K. Efstathiou
,
O. V. Lukina
,
D. A. Sadovskií
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Heteroclinic cycles between unstable attractors
We consider networks of pulse coupled linear oscillators with non-zero delay where the coupling between the oscillators is given by the …
H. W. Broer
,
K. Efstathiou
,
E. Subramanian
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Most typical 1:2 resonant perturbation of the hydrogen atom by weak electric and magnetic fields
We study a perturbation of the hydrogen atom by small homogeneous static electric and magnetic fields in a specific mutual alignment …
K. Efstathiou
,
O. V. Lukina
,
D. A. Sadovskií
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Robustness of unstable attractors in arbitrarily sized pulse-coupled networks with delay
We consider arbitrarily large networks of pulse-coupled oscillators with non-zero delay where the coupling is given by the …
H. W. Broer
,
K. Efstathiou
,
E. Subramanian
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Classification of perturbations of the hydrogen atom by small static electric and magnetic fields
We consider perturbations of the hydrogen atom by sufficiently small homogeneous static electric and magnetic fields of all possible …
K. Efstathiou
,
D. A. Sadovskií
,
B. I. Zhilinskií
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Fractional monodromy in the 1:-2 resonance
We give an analytic proof of the fractional monodromy theorem for the 1:−2 oscillator system with S1 symmetry formulated by N.N. …
K. Efstathiou
,
R. H. Cushman
,
D. A. Sadovskií
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Analysis of rotation-vibration relative equilibria on the example of a tetrahedral four atom molecule
We study relative equilibria (RE) of a nonrigid molecule, which vibrates about a well-defined equilibrium configuration and rotates as …
K. Efstathiou
,
D. A. Sadovskií
,
B. I. Zhilinskií
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Escapes and recurrence in a simple Hamiltonian system
Many physical systems can be modeled as scattering problems. For example, the motions of stars escaping from a galaxy can be described …
G. Contopoulos
,
K. Efstathiou
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Global bending quantum number and the absence of monodromy in the HCN-CNH molecule
We introduce and analyze a model system based on a deformation of a spherical pendulum that can be used to reproduce large amplitude …
K. Efstathiou
,
M. Joyeux
,
D. A. Sadovskií
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Hamiltonian Hopf bifurcation of the hydrogen atom in crossed fields
We consider the hydrogen atom in crossed electric and magnetic fields. We prove that near the Stark and Zeeman limits the system goes …
K. Efstathiou
,
R. H. Cushman
,
D. A. Sadovskií
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Perturbations of the 1:1:1 resonance with tetrahedral symmetry: a three degree of freedom analogue of the two degree of freedom Hénon-Heiles Hamiltonian
We study a class of three degree of freedom (3-DOF) Hamiltonian systems that share certain characteristics with the 2-DOF Hénon-Heiles …
K. Efstathiou
,
D. A. Sadovskií
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Linear Hamiltonian Hopf bifurcation for point-group-invariant perturbations of the 1:1:1 resonance
We consider $G times R$-invariant Hamiltonians $H$ on complex projective $2$-space, where $G$ is a point group and $R$ is the …
K. Efstathiou
,
D. A. Sadovskií
,
R. H. Cushman
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A method for accurate computation of the rotation and the twist numbers of invariant circles
A method is proposed for accurate evaluation of the rotation and the twist numbers of invariant circles in two degrees of freedom …
K. Efstathiou
,
N. Voglis
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Orbits in the H2O molecule
We study the forms of the orbits in a symmetric configuration of a realistic model of the H(2)O molecule with particular emphasis on …
K. Efstathiou
,
G. Contopoulos
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