Add to ORKGThe Mishchenko–Fomenko theorem on superintegrable Hamiltonian systems is general-ized to superintegrable Hamiltonian systems with noncompact invariant submanifolds. It is formulated in the case of globally superintegrable Hamiltonian systems which admit global generalized action-angle coordinates. The well known Kepler system falls into two different globally superintegrable systems with compact and noncompact invariant submanifolds
Under certain conditions, generalized action–angle coordinates can be introduced near non-compact in...
The N-dimensional Hamiltonian H = 1/2f(vertical bar q vertical bar)(2) {p(2)+mu(2)/q(2)+Sigma(N)(i=1...
The N-dimensional Hamiltonian H = 1/2f(vertical bar q vertical bar)(2) {p(2)+mu(2)/q(2)+Sigma(N)(i=1...
The Mishchenko–Fomenko theorem on action-angle coordinates is extended to time-dependent superintegr...
Superintegrable Hamiltonian systems with noncompact invariant submanifolds. Kepler syste
Hamilton-Jacobi theory provides a powerful method for extracting the equations of motion out of some...
We present a novel Hamiltonian system in n dimensions which admits the maximal number 2n - 1 of func...
We present a novel Hamiltonian system in n dimensions which admits the maximal number 2n - 1 of func...
Integrals of motion of a Hamiltonian system need not be commutative. The classical Mishchenko-Fomenk...
A classical (or quantum) superintegrable system on an n-dimensional Rie-mannian manifold is an integ...
In this talk I present the results from my paper Exact solvability of superintegrable Benenti system...
We describe a method for determining a complete set of integrals for a classical Hamiltonian that se...
Bertrand's theorem asserts that any spherically symmetric natural Hamiltonian system in Euclidean 3-...
Liouville (super)integrability of a Hamiltonian system of differential equations is based on the exi...
The aim of this Letter is to show that singularities of inte-grable Hamiltonian systems, besides bei...
Under certain conditions, generalized action–angle coordinates can be introduced near non-compact in...
The N-dimensional Hamiltonian H = 1/2f(vertical bar q vertical bar)(2) {p(2)+mu(2)/q(2)+Sigma(N)(i=1...
The N-dimensional Hamiltonian H = 1/2f(vertical bar q vertical bar)(2) {p(2)+mu(2)/q(2)+Sigma(N)(i=1...
The Mishchenko–Fomenko theorem on action-angle coordinates is extended to time-dependent superintegr...
Superintegrable Hamiltonian systems with noncompact invariant submanifolds. Kepler syste
Hamilton-Jacobi theory provides a powerful method for extracting the equations of motion out of some...
We present a novel Hamiltonian system in n dimensions which admits the maximal number 2n - 1 of func...
We present a novel Hamiltonian system in n dimensions which admits the maximal number 2n - 1 of func...
Integrals of motion of a Hamiltonian system need not be commutative. The classical Mishchenko-Fomenk...
A classical (or quantum) superintegrable system on an n-dimensional Rie-mannian manifold is an integ...
In this talk I present the results from my paper Exact solvability of superintegrable Benenti system...
We describe a method for determining a complete set of integrals for a classical Hamiltonian that se...
Bertrand's theorem asserts that any spherically symmetric natural Hamiltonian system in Euclidean 3-...
Liouville (super)integrability of a Hamiltonian system of differential equations is based on the exi...
The aim of this Letter is to show that singularities of inte-grable Hamiltonian systems, besides bei...
Under certain conditions, generalized action–angle coordinates can be introduced near non-compact in...
The N-dimensional Hamiltonian H = 1/2f(vertical bar q vertical bar)(2) {p(2)+mu(2)/q(2)+Sigma(N)(i=1...
The N-dimensional Hamiltonian H = 1/2f(vertical bar q vertical bar)(2) {p(2)+mu(2)/q(2)+Sigma(N)(i=1...