Perihelion librations in the secular three--body problem [PDF]
, 2020 A normal form theory for non--quasi--periodic systems is combined with the special properties of the partially averaged Newtonian potential pointed out in [15] to prove, in the averaged, planar three--body problem, the existence of a plenty of motions ...
Pinzari, Gabriella
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Mini-Workshop: Mathematics of Dissipation – Dynamics, Data and Control (hybrid meeting) [PDF]
, 2021 Dissipation of energy --- as well as its sibling the increase of entropy --- are fundamental facts inherent to any physical system. The concept of dissipativity has been extended to a more general system theoretic setting via port-Hamiltonian systems ...
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Negligibility of small divisor effects in the normal form theory for nearly-integrable Hamiltonians with decaying non-autonomous perturbations [PDF]
, 2015 The paper deals with the problem of the existence of a normal form for a nearly-integrable real-analytic Hamiltonian with aperiodically time-dependent perturbation decaying (slowly) in time.
Fortunati, Alessandro, Wiggins, Stephen
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Integrability and strong normal forms for non-autonomous systems in a neighbourhood of an equilibrium [PDF]
, 2016 The paper deals with the problem of existence of a convergent "strong" normal form in the neighbourhood of an equilibrium, for a finite dimensional system of differential equations with analytic and time-dependent non-linear term.
Alessandro Fortunati +9 more
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A first integral to the partially averaged Newtonian potential of the three-body problem [PDF]
, 2019 We consider the partial average i.e., the Lagrange average with respect to {\it just one} of the two mean anomalies, of the Newtonian part of the perturbing function in the three--body problem Hamiltonian.
Pinzari, Gabriella
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Global Kolmogorov tori in the planetary N-body problem. Announcement of result [PDF]
, 2014 We improve a result in [L. Chierchia and G. Pinzari, Invent. Math. 2011] by proving the existence of a positive measure set of $(3n-2)$--dimensional quasi--periodic motions in the spacial, planetary $(1+n)$--body problem away from co--planar, circular ...
Pinzari, Gabriella
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Dynamics and Stability of Low-Reynolds-Number Swimming Near a Wall [PDF]
, 2011 The locomotion of microorganisms and tiny artificial swimmers is governed by low-Reynolds-number hydrodynamics, where viscous effects dominate and inertial effects are negligible.
Murray, Richard M. +2 more
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On the nonlinear stability of the triangular points in the circular spatial restricted three-body problem [PDF]
, 2020 The well-known problem of the nonlinear stability of L4 and L5 in the circular spatial restricted three-body problem is revisited. Some new results in the light of the concept of Lie (formal) stability are presented.
Cárcamo Díaz, Daniela Jacqueline +3 more
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Aspects of the planetary Birkhoff normal form [PDF]
, 2013 The discovery in [G. Pinzari. PhD thesis. Univ. Roma Tre. 2009], [L. Chierchia and G. Pinzari, Invent. Math. 2011] of the Birkhoff normal form for the planetary many--body problem opened new insights and hopes for the comprehension of the dynamics of ...
A Bounemoura +43 more
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Structured backward errors for eigenvalues of linear port-Hamiltonian descriptor systems
, 2020 When computing the eigenstructure of matrix pencils associated with the passivity analysis of perturbed port-Hamiltonian descriptor system using a structured generalized eigenvalue method, one should make sure that the computed spectrum satisfies the ...
Mehrmann, Volker, Van Dooren, Paul
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