Add to ORKGA universal local bifurcation analysis is presented of an autonomous Hamiltonian system around a certain equilibrium point. This central equilibrium has a double zero eigenvalue, the other eigenvalues being in general position. Main emphasis is given to the 2 degrees of freedom case where these other eigenvalues are purely imaginary. By normal form techniques and Singularity Theory unfoldings are obtained. having 'integrable' approximations related to the Elliptic and Hyperbolic Umbilic Catastrophes.</p
We consider perturbations of integrable Hamiltonian systems in the neighbourhood of normally umbilic...
A simple, straightforward computation is given of the monodromy near an equilibrium point of a Hamil...
The Hamiltonian Hopf bifurcation has an integrable normal form that describes the passage of the eig...
A universal local bifurcation analysis is presented of an autonomous Hamiltonian system around a cer...
A universal local bifurcation analysis is presented of an autonomous Hamiltonian system around a cer...
A universal local bifurcation analysis is presented of an autonomous Hamiltonian system around a cer...
A universal local bifurcation analysis is presented of an autonomous Hamiltonian system around a cer...
This paper concerns autonomous Hamiltonian systems around an equi-librium point, with a double eigen...
We consider perturbations of integrable Hamiltonian systems in the neighbourhood of normally parabol...
We consider perturbations of integrable Hamiltonian systems in the neighbourhood of normally parabol...
We consider perturbations of integrable Hamiltonian systems in the neighbourhood of normally parabol...
We consider perturbations of integrable Hamiltonian systems in the neighbourhood of normally parabol...
We discuss the splitting of a separatrix in a generic unfolding of a degenerate equilibrium in a Ham...
Bifurcations are studied from a fixed point with fourfold eigenvalue zero occurring in a two degrees...
We consider perturbations of integrable Hamiltonian systems in the neighbourhood of normally umbilic...
We consider perturbations of integrable Hamiltonian systems in the neighbourhood of normally umbilic...
A simple, straightforward computation is given of the monodromy near an equilibrium point of a Hamil...
The Hamiltonian Hopf bifurcation has an integrable normal form that describes the passage of the eig...
A universal local bifurcation analysis is presented of an autonomous Hamiltonian system around a cer...
A universal local bifurcation analysis is presented of an autonomous Hamiltonian system around a cer...
A universal local bifurcation analysis is presented of an autonomous Hamiltonian system around a cer...
A universal local bifurcation analysis is presented of an autonomous Hamiltonian system around a cer...
This paper concerns autonomous Hamiltonian systems around an equi-librium point, with a double eigen...
We consider perturbations of integrable Hamiltonian systems in the neighbourhood of normally parabol...
We consider perturbations of integrable Hamiltonian systems in the neighbourhood of normally parabol...
We consider perturbations of integrable Hamiltonian systems in the neighbourhood of normally parabol...
We consider perturbations of integrable Hamiltonian systems in the neighbourhood of normally parabol...
We discuss the splitting of a separatrix in a generic unfolding of a degenerate equilibrium in a Ham...
Bifurcations are studied from a fixed point with fourfold eigenvalue zero occurring in a two degrees...
We consider perturbations of integrable Hamiltonian systems in the neighbourhood of normally umbilic...
We consider perturbations of integrable Hamiltonian systems in the neighbourhood of normally umbilic...
A simple, straightforward computation is given of the monodromy near an equilibrium point of a Hamil...
The Hamiltonian Hopf bifurcation has an integrable normal form that describes the passage of the eig...