... C^} pendi* ^ Miscellanea on ... owp * Qf tune.v se^ms to rotate rigidly at a CfT d the Anders... more ... C^} pendi* ^ Miscellanea on ... owp * Qf tune.v se^ms to rotate rigidly at a CfT d the Anders, and >o % ^f^^ed xJ^lation symmetry-breaW /?tant SPeed-This is 'A^^Wati^f^ a spatial syrnrrietry-breaJbni ^ fl°W 18 now ^^°««ion j This spatio-temporalsy^ Caxisymmetry is bro-11 ...
ABSTRACT The Hartman-Grobman theorem plays an important role in the study of certain nonlinear dy... more ABSTRACT The Hartman-Grobman theorem plays an important role in the study of certain nonlinear dynamical systems which are associated with equivariant vector fields with respect to the action of a compact group Γ. On the other hand, orbit space reduction techniques can be a useful tool in the analysis of equivariant dynamical systems. The idea is to project the vector field on the space which is spanned by a basis of the ring of Γ-invariant polynomials. The orbit space can be realized as a stratified variety in this space, and the restriction to the orbit space of the projected system preserves strata. However, nonlinear terms can lead to linear terms by projection. This raises the natural question: which terms in the linearization are really needed, or, else, is there a well-suited Hartman-Grobman theorem in the orbit space?
In this paper we study the appearance of branches of relative periodic orbits in Hamiltonian Hopf... more In this paper we study the appearance of branches of relative periodic orbits in Hamiltonian Hopf bifurcation processes in the presence of compact symmetry groups that do not generically exist in the dissipative framework. The theoretical study is illustrated with several examples.
In this paper we study the unfoldings of 0 (2)-equivariant vector fields whose linearization has ... more In this paper we study the unfoldings of 0 (2)-equivariant vector fields whose linearization has two pairs of purely imaginary eigenvalues. Such singularities may be expected to occur at isolated points in a centre manifold reduction of two-parameter systems with full circular ...
... C^} pendi* ^ Miscellanea on ... owp * Qf tune.v se^ms to rotate rigidly at a CfT d the Anders... more ... C^} pendi* ^ Miscellanea on ... owp * Qf tune.v se^ms to rotate rigidly at a CfT d the Anders, and >o % ^f^^ed xJ^lation symmetry-breaW /?tant SPeed-This is 'A^^Wati^f^ a spatial syrnrrietry-breaJbni ^ fl°W 18 now ^^°««ion j This spatio-temporalsy^ Caxisymmetry is bro-11 ...
ABSTRACT The Hartman-Grobman theorem plays an important role in the study of certain nonlinear dy... more ABSTRACT The Hartman-Grobman theorem plays an important role in the study of certain nonlinear dynamical systems which are associated with equivariant vector fields with respect to the action of a compact group Γ. On the other hand, orbit space reduction techniques can be a useful tool in the analysis of equivariant dynamical systems. The idea is to project the vector field on the space which is spanned by a basis of the ring of Γ-invariant polynomials. The orbit space can be realized as a stratified variety in this space, and the restriction to the orbit space of the projected system preserves strata. However, nonlinear terms can lead to linear terms by projection. This raises the natural question: which terms in the linearization are really needed, or, else, is there a well-suited Hartman-Grobman theorem in the orbit space?
In this paper we study the appearance of branches of relative periodic orbits in Hamiltonian Hopf... more In this paper we study the appearance of branches of relative periodic orbits in Hamiltonian Hopf bifurcation processes in the presence of compact symmetry groups that do not generically exist in the dissipative framework. The theoretical study is illustrated with several examples.
In this paper we study the unfoldings of 0 (2)-equivariant vector fields whose linearization has ... more In this paper we study the unfoldings of 0 (2)-equivariant vector fields whose linearization has two pairs of purely imaginary eigenvalues. Such singularities may be expected to occur at isolated points in a centre manifold reduction of two-parameter systems with full circular ...
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Papers by Pascal Chossat