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Time-dependent polynomials with one multiple root and new solvable dynamical systems - MaRDI portal

Time-dependent polynomials with one multiple root and new solvable dynamical systems (Q5205187)

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scientific article; zbMATH DE number 7142052

Language	Label	Description	Also known as
English	Time-dependent polynomials with one multiple root and new solvable dynamical systems	scientific article; zbMATH DE number 7142052

Statements

scholarly article

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Time-dependent polynomials with one multiple root and new solvable dynamical systems (English)

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Journal of Mathematical Physics

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publication date

10 December 2019

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full work available at URL

https://arxiv.org/abs/1808.00512

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MaRDI profile type

MaRDI publication profile

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Isochronous Systems

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Erratum: Solution of the one-dimensional <i>N</i>-body problems with quadratic and/or inversely quadratic pair potentials [J. Math. Phys. <b>12</b>, 419–436 (1971)]

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Three integrable Hamiltonian systems connected with isospectral deformations

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The neatest many-body problem amenable to exact treatments (a ``goldfish''?)

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Diophantine Properties Associated to the Equilibrium Configurations of an Isochronous <i>N</i>-Body Problem

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Solvable many-body models of goldfish type with one-, two- and three-body forces

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New Solvable Variants of the Goldfish Many-Body Problem

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A convenient expression of the time-derivative zn(k)(t) , of arbitrary order <i>k</i>, of the zero <i>z <sub>n</sub> </i>(<i>t</i>) of a time-dependent polynomial <i>p <sub>N</sub> </i>(<i>z</i>;<i>t</i>) of arbitrary degree <i>N</i> in <i>z</i>, and solvable dynamical systems

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A new solvable many-body problem of goldﬁsh type

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Novel <i>solvable</i> many-body problems

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Generations of monic polynomials such that the coefficients of each polynomial of the next generation coincide with the zeros of a polynomial of the current generation, and new solvable many-body problems

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Generations of <i>solvable discrete-time</i> dynamical systems

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Novel <i>isochronous N</i>-body problems featuring <i>N arbitrary rational</i> coupling constants

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Yet another class of \textit{new solvable} \(N\)-body problems of goldfish type

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New C-integrable and S-integrable systems of nonlinear partial differential equations

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Time-dependent polynomials with \textit {one double} root, and related new solvable systems of nonlinear evolution equations

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Asymptotically isochronous systems

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Two novel classes of solvable many-body problems of goldfish type with constraints

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A new class of solvable many-body problems with constraints, associated with an exceptional polynomial subspace of codimension 2

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Identifiers

zbMATH Open document ID

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10.1063/1.5050628

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:5205187

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