New integrable problems in rigid body dynamics with quartic integrals (Q889754): Difference between revisions

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+scientific article; zbMATH DE number 6505930
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-.1007/s00707-015-1320-8
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+https://doi.org/10.1007/s00707-015-1320-8
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+W1986769943
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@@ Property / cites work @@
+The structure of energy conserving low-order models
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+The General Problem of the Motion of Coupled Rigid Bodies about a Fixed Point
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+New generalizations of all the known integrable problems in rigid-body dynamics
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+Two-dimensional conservative mechanical systems with quartic second integral
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+On Hamiltonian systems in two degrees of freedom with invariants quartic in the momenta of form <i>p</i>21<i>p</i>22⋅⋅⋅
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+A unified treatment of quartic invariants at fixed and arbitrary energy
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+Superintegrable systems on the two-dimensional sphere S2 and the hyperbolic plane H2
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+On harmonic oscillators on the two-dimensional sphere S2 and the hyperbolic plane H2
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+Compatibility conditions for a non-quadratic integral of motion
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+Two-dimensional integrable potentials with quartic invariants
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+A class of integrable potentials
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+New families of conservative systems on \(S^2\) possessing an integral of fourth degree in momenta
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+New integrable systems with a quartic integral and new generalizations of kovalevskaya's and goriatchev's cases
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+New conditional integrable cases of motion of a rigid body with Kovalevskaya's configuration
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+A new integrable problem with a quartic integral in the dynamics of a rigid body
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+The master integrable two-dimensional system with a quartic second integral
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+Equivalent problems in rigid body dynamics ? I
@@ Property / cites work: Equivalent problems in rigid body dynamics ? I / rank @@
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+Equivalent problems in rigid body dynamics?II
@@ Property / cites work: Equivalent problems in rigid body dynamics?II / rank @@
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+Q5329596
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+On two-dimensional integrable models with a cubic or quartic integral of motion
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+New integrable problems in the dynamics of rigid bodies with the Kovalevskaya configuration. I: The case of axisymmetric forces. II: The case of asymmetric forces
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+.1007/S00707-015-1320-8
@@ Property / DOI: 10.1007/S00707-015-1320-8 / rank @@
+Normal rank
@@ links / mardi / name / links / mardi / name @@
+Publication:889754