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Instability in Hamiltonian systems
Published 2005-11-01“…Arnold even discovered that, surprisingly, these situations often arise in a persistent way when an integrable Hamiltonian system is perturbed. The global strategy designed by Arnold was based on the control of the so-called splitting of separatrices, which takes place when a parametric family of perturbations of the initial integrable system is considered. …”
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Perturbed Keplerian Hamiltonian Systems
Published 2023-01-01“…This paper deals with a class of perturbation planar Keplerian Hamiltonian systems, by exploiting the nondegeneracy properties of the circular solutions of the planar Keplerian Hamiltonian systems, and by applying the implicit function theorem, we show that noncollision periodic solutions of such perturbed system bifurcate from the manifold of circular solutions for the Keplerian Hamiltonian system.…”
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Symplectic geometry of integrable hamiltonian systems /
Published 2003Subjects: “…Hamiltonian systems…”
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Integrable and non-integrable Hamiltonian systems /
Published 1989Subjects: “…Hamiltonian systems…”
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Properties of infinite dimensional Hamiltonian systems/
Published 1974Subjects: “…Hamiltonian systems…”
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An Overview on Irreversible Port-Hamiltonian Systems
Published 2022-10-01Subjects: “…port-Hamiltonian system…”
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Kolmogorov algorithm for isochronous Hamiltonian systems
Published 2023-05-01“…We present a Kolmogorov-like algorithm for the computation of a normal form in the neighborhood of an invariant torus in 'isochronous' Hamiltonian systems, i.e., systems with Hamiltonians of the form $ {\mathcal{H}} = {\mathcal{H}}_0+\varepsilon {\mathcal{H}}_1 $ where $ {\mathcal{H}}_0 $ is the Hamiltonian of $ N $ linear oscillators, and $ {\mathcal{H}}_1 $ is expandable as a polynomial series in the oscillators' canonical variables. …”
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Hamiltonian Systems Inspired by the Schrödinger Equation
Published 2008-05-01Subjects: Get full text
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Quantization of Hamiltonian and non-Hamiltonian systems
Published 2023-06-01Subjects: “…hamiltonian and non-hamiltonian systems…”
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Integrable hamiltonian systems : geometriy, topology, classification /
Published 2004Subjects: “…Hamiltonian systems…”
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The quantization of the classical two-dimensional Hamiltonian systems
Published 2022-02-01“…The paper considers the class of Hamiltonian systems with two degrees of freedom. Based on the classical normal form, according to the rules of Born-Jordan and Weyl-MacCoy, its quantum analogs are constructed for which the eigenvalue problem is solved and approximate formulas for the energy spectrum are found. …”
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RG-Whitham dynamics and complex Hamiltonian systems
Published 2015-06-01“…We show that at the Argyres–Douglas (AD) point the number of degrees of freedom in Hamiltonian system effectively reduces and argue that anomalous dimensions at AD point coincide with the Berry indexes in classical mechanics. …”
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Production and transfer of energy and information in Hamiltonian systems.
Published 2014-01-01“…We present novel results that relate energy and information transfer with sensitivity to initial conditions in chaotic multi-dimensional Hamiltonian systems. We show the relation among Kolmogorov-Sinai entropy, Lyapunov exponents, and upper bounds for the Mutual Information Rate calculated in the Hamiltonian phase space and on bi-dimensional subspaces. …”
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On the prescribed-period problem for autonomous Hamiltonian systems
Published 1998-02-01Subjects: “…Autonomous Hamiltonian system…”
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