Ain Shams Engineering Journal, 2021 This research explores the complex and physical behavior, using four different theoretical methods, of water wave propagation with surface tension. A modern Benneye-Luke (BL) algorithm is used to identify a variety of unobtained distinct wave solution ...
Mostafa M.A. Khater +3 more
doaj
On the quasiperiodic hamiltonian andronov-hopf bifurcation
, 2002 Aquest treball es situa dintre del marc dels sistemes dinàmics hamiltonians de tres graus de llibertat. Allà considerem famílies d'òrbites periòdiques amb una transició estable-complex inestable: sigui L el paràmetre que descriu la família i suposarem ...
Juan Ramón Pacha Andújar
semanticscholar +1 more source
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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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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The agreement between novel exact and numerical solutions of nonlinear models
Partial Differential Equations in Applied Mathematics, 2023 Nonlinear models (NLMs), being an important topic in mathematical physics, have attracted a lot of attention in the international research community because they have numerous uses in human life. These NLMs are typically implemented to illuminate various
Md. Nur Alam, S. M. Rayhanul Islam
doaj
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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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 quadratic eigenvalue problems arising in stability of discrete vortices [PDF]
, 2009 We develop a count of unstable eigenvalues in a finite-dimensional quadratic eigenvalue problem arising in the context of stability of discrete vortices in a multi-dimensional discrete nonlinear Schrödinger equation [D.E. Pelinovsky, P.G. Kevrekidis, D.J.
Chugunova, Marina, Pelinovsky, Dmitry
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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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