Results 211 to 220 of about 129,282 (240)
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Nonlinearity, 1998
One parameter families of periodic solutions in nonlinear autonomous Hamiltonian system are considered. If the system has two degrees of freedom and the Hamiltonian \(H(x)\) is convex, it is proved that under some conditions on the Hessian \(H_{xx}\) there are at least two stable periodic solutions on any energy surface \(H(x)=h\). Bilateral bounds for
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One parameter families of periodic solutions in nonlinear autonomous Hamiltonian system are considered. If the system has two degrees of freedom and the Hamiltonian \(H(x)\) is convex, it is proved that under some conditions on the Hessian \(H_{xx}\) there are at least two stable periodic solutions on any energy surface \(H(x)=h\). Bilateral bounds for
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On the number of caustics for invariant tori of Hamiltonian systems with two degrees of freedom
Ergodic Theory and Dynamical Systems, 1991Let X be a two-dimensional orientable connected manifold without boundary, H: T*X → ℝ a smooth hamiltonian function denned on the cotangent bundle. We will assume that H is of a ‘classical type’ that is convex and even on each fibre Tx*X. The goal of this paper is to describe the set Γ of all singular points of the projection Θ|L where ι: L → T*X is a ...
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Journal of Applied Mathematics and Mechanics, 1981
Abstract The stability problem for a self-contained Hamiltonian system with two degrees of freedom is solved for the case in which the fundamental equation of the linearized system has four zero roots.
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Abstract The stability problem for a self-contained Hamiltonian system with two degrees of freedom is solved for the case in which the fundamental equation of the linearized system has four zero roots.
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Russian Mathematical Surveys, 1994
Let \(v = s \text{grad }H\) be an integrable Hamiltonian system with two degrees of freedom, restricted to a smooth compact isoenergetic surface \(Q^3 = \{H = h_0\}\). The problem is how to classify these systems up to smooth trajectory isomorphism.
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Let \(v = s \text{grad }H\) be an integrable Hamiltonian system with two degrees of freedom, restricted to a smooth compact isoenergetic surface \(Q^3 = \{H = h_0\}\). The problem is how to classify these systems up to smooth trajectory isomorphism.
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Parameterized Hamiltonian Learning With Quantum Circuit
IEEE Transactions on Pattern Analysis and Machine Intelligence, 2023Jinjing Shi +2 more
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Hamiltonian-Driven Adaptive Dynamic Programming With Approximation Errors
IEEE Transactions on Cybernetics, 2022Yongliang Yang +2 more
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Lagrangian projections of invariant tori of Hamiltonian systems with two degrees of freedom
Functional Analysis and Its Applications, 1989M. L. Byalyi, L. V. Polterovich
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Hamiltonian formulation of general relativity and post-Newtonian dynamics of compact binaries
Living Reviews in Relativity, 2018Piotr Jaranowski
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Hamiltonian theories of the fractional quantum Hall effect
Reviews of Modern Physics, 2003R Shankar
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