zbMath0921.58029MaRDI QIDQ4386567
Valery V. Kozlov
Publication date: 28 April 1998
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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)
Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33)
Nonintegrable systems for problems in Hamiltonian and Lagrangian mechanics (70H07)
Research exposition (monographs, survey articles) pertaining to dynamical systems and ergodic theory (37-02)
Perturbation theories for problems in Hamiltonian and Lagrangian mechanics (70H09)
Integrability and nonintegrability of sub-Riemannian geodesic flows on Carnot groups,
Hamiltonian fractals and chaotic scattering of passive particles by a topographical vortex and an alternating current,
On the chaotic instability of a nonsliding liquid-filled top with a small spheroidal base via Melnikov-Holmes-Marsden integrals,
Formal first integrals of general dynamical systems,
The asymptotic rigidity of a compact invariant set of a dynamic system stable in the Poisson sense,
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On the dynamics of systems with two degrees of freedom,
New integrable cases in classical problems of dynamics of rigid bodies,
Derivation of the equations of electrodynamics and gravity from the principle of least action,
Some recent generalizations of the classical rigid body systems,
A transformation of the equations of mechanics,
Invariance of functionals and related Euler-Lagrange equations,
Non-integrability of Hénon-Heiles system,
Pseudo-billiards,
Magneto-metric Hamiltonians on quantum surfaces in the configuration space,
Jacobi method and the eikonal equation,
Integrable topological billiards and equivalent dynamical systems,
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Functional dependence between gas dynamics conservation laws corresponding to separation of variables,
Nonclassical approach to the analysis of Hamiltonian and conservative systems,
Buffer phenomenon in systems with one and a half degrees of freedom,
Bi-variationality, symmetries and approximate solutions,
Nature of chaos in conservative and dissipative systems of the Duffing-Holmes oscillator,
Hamiltonicity and integrability of the Suslov problem,
On quasipotential operators and Hamiltonian-admissible equations in the mechanics of infinite-dimensional systems,
On the integrability of twofold 1 : 2 Hamiltonian resonance,
Integrability of the constrained rigid body,
On a representation of an operator equation with first time derivative in the form of a \(B_u\)-Hamiltonian equation,
On momentum-polynomial integrals of a reversible Hamiltonian system of a certain form,
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Gibbs ensembles, equidistribution of the energy of sympathetic oscillators and statistical models of thermostat,
Chaos in a restricted problem of rotation of a rigid body with a fixed point,
Conservation laws, hierarchy of dynamics and explicit integration of nonholonomic systems,
Multiparticle systems. The algebra of integrals and integrable cases,
Semiclassical quantization of Bohr orbits in the helium atom,
On an integrable case of Kozlov-Treshchev Birkhoff integrable potentials,
A reduced form for linear differential systems and its application to integrability of Hamiltonian systems,
Weak-Painlevé property and integrability of general dynamical systems,
Systems of Hess-Appel'rot type,
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On the limit values of Mel'nikov functions on periodic orbits,
Invariant characterization of Liouville metrics and polynomial integrals,
Algebra of symmetries of three-frequency resonance: reduction of a reducible case to an irreducible case,
The Hamilton-Jacobi method in the non-Hamiltonian situation and the hydrodynamic substitution,
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Variational nature of nonlinear Chaplygin equations and their analogues,
An operator equation with the second time derivative and Hamiltonian-admissible equations,
Non-integrability of a class of Painlevé IV equations as Hamiltonian systems,
Integrable magnetic geodesic flows on 2-torus: new examples via quasi-linear system of PDEs,
The meromorphic non-integrability of the three-body problem,
ENVELOPING SURFACES AND ADMISSIBLE VELOCITIES OF HEAVY RIGID BODIES,
The Vlasov kinetic equation, dynamics of continuum and turbulence,
On the topology of the double spherical pendulum,
On connection between symmetries of functionals and equations,
On Gibbs distribution for quantum systems,
Integrals in involution for groups of linear symplectic transformations and natural mechanical systems,
Effective algorithm of analysis of integrability via the Ziglin's method,
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Additional conservation laws, functional relations between conservation laws, and potentials of divergent gas dynamics equations,
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Cartesian approach for nonholonomic systems,
On the nature of dynamic chaos in a neighborhood of a separatrix of a conservative system,
A method to generate first integrals from infinitesimal symmetries,
Remarks on integrable systems,
Integrable geodesic flows on orientable two-dimensional surfaces and topological billiards,
Symmetries and first integrals in the mechanics of infinite-dimensional systems,
The necessary conditions for the stability of steady motions of systems with constraints produced by large potential forces,
The “restricted” formulation of the problem of the motion of a heavy rigid body,
Tensor invariants and integration of differential equations,
Method of approximate evaluation of path integrals using perturbation theory with convergent series. I,
Geometric dynamics on quantum nano-surfaces and low-energy spectrum in a homogeneous magnetic field,
Integrals polynomial in velocity for two-degrees-of-freedom dynamical systems whose configuration space is a torus,
Tensor invariants of natural mechanical systems on compact surfaces and the corresponding integrals,
Kovalevskaya's method in rigid body dynamics,
Estimating error of the optimal grid design in the problems of nonlinear optimal control of prescribed duration,
Tunnel splitting of the spectrum of the Beltrami-Laplace operators on two-dimensional surfaces with square integrable geodesic flow,
Nonexistence of formal first integrals for nonlinear systems under the case of resonance,
Addition theorems and superintegrable systems,
Implementation of integrable systems by topological, geodesic billiards with potential and magnetic field,
Manifolds of infinite topological type with integrable geodesic flows,
Remarks on a Lie theorem on the integrability of differential equations in closed form,
Configurational invariants of Hamiltonian systems,
Complete integrability versus symmetry,
Instability of a nonlinear system of two oscillators under main and combination resonances