Symplectic equivalence of Lagrangian projections is too strong to yield a useful classification of projections which commute with a symmetry group action. A weaker equivalence relation, caustic equivalence, is introduced and used to classify the caustics of Lagrangian submanifolds that are invariant under symplectic involutions
Relative equilibria of Lagrangian and Hamiltonian systems with symmetry are critical points of appro...
We consider classes C of differential equations characterized by the presence of arbitrary elements,...
We consider classes C of differential equations characterized by the presence of arbitrary elements,...
We generalise the classification theory of Arnold and Zakalyukin for singularities of Lagrange proje...
As an application of the theory of graph-like Legendrian unfoldings, relations of the hidden structu...
AbstractWe investigate a relationship between the caustics of a submanifold of general dimension and...
Singularities of symplectic mappings are important in mathematical physics; for example in optics th...
We construct a new framework for the study of multiplane gravitational lensing from the view point o...
A natural and very important development of constrained system theory is a detail study of the relat...
A natural and very important development of constrained system theory is a detail study of the relat...
We give a unified framework for the construction of symplectic manifolds from systems with symmetrie...
In this work we define a relative version of the flux homomorphism, introduced by Calabi in 1969, fo...
We consider the projection to configuration space of invariant tori in a time reversible Hamiltonian...
We construct fiber-preserving anti-symplectic involutions for a large class of symplectic manifolds ...
Symplectic vector spaces are the phase space of linear mechanical systems. The symplectic form descr...
Relative equilibria of Lagrangian and Hamiltonian systems with symmetry are critical points of appro...
We consider classes C of differential equations characterized by the presence of arbitrary elements,...
We consider classes C of differential equations characterized by the presence of arbitrary elements,...
We generalise the classification theory of Arnold and Zakalyukin for singularities of Lagrange proje...
As an application of the theory of graph-like Legendrian unfoldings, relations of the hidden structu...
AbstractWe investigate a relationship between the caustics of a submanifold of general dimension and...
Singularities of symplectic mappings are important in mathematical physics; for example in optics th...
We construct a new framework for the study of multiplane gravitational lensing from the view point o...
A natural and very important development of constrained system theory is a detail study of the relat...
A natural and very important development of constrained system theory is a detail study of the relat...
We give a unified framework for the construction of symplectic manifolds from systems with symmetrie...
In this work we define a relative version of the flux homomorphism, introduced by Calabi in 1969, fo...
We consider the projection to configuration space of invariant tori in a time reversible Hamiltonian...
We construct fiber-preserving anti-symplectic involutions for a large class of symplectic manifolds ...
Symplectic vector spaces are the phase space of linear mechanical systems. The symplectic form descr...
Relative equilibria of Lagrangian and Hamiltonian systems with symmetry are critical points of appro...
We consider classes C of differential equations characterized by the presence of arbitrary elements,...
We consider classes C of differential equations characterized by the presence of arbitrary elements,...