scientific article; zbMATH DE number 1161537

zbMath0903.58010MaRDI QIDQ4393447

Ya. L. Umanskiy, Lev M. Lerman

Publication date: 9 June 1998

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

singular pointsHamiltonian systemsPoisson actionglobal dynamics of integrable systemstopology of foliations

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Research exposition (monographs, survey articles) pertaining to dynamical systems and ergodic theory (37-02)

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On Near Integrability of Some Impact Systems ⋮ A generic impulsive controller for Hamiltonian linear time-periodic systems ⋮ Transverse intersections between invariant manifolds of doubly hyperbolic invariant tori, via the Poincaré-Mel'nikov method ⋮ Foliations of isonergy surfaces and singularities of curves ⋮ Symplectic invariants near hyperbolic-hyperbolic points ⋮ Approximating multi-dimensional Hamiltonian flows by billiards ⋮ On interrelations between divergence-free and Hamiltonian dynamics ⋮ Homoclinic orbits to invariant tori near a homoclinic orbit to center-center-saddle equilibrium ⋮ Complex planar Hamiltonian systems: linearization and dynamics ⋮ Fractional monodromy of resonant classical and quantum oscillators ⋮ On the structure of Hamiltonian impact systems ⋮ Dynamics near the invariant manifolds after a Hamiltonian-Hopf bifurcation

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