Results 11 to 20 of about 101 (54)

Stability and Analytic Solutions of an Optimal Control Problem on the Schrödinger Lie Group

Open Physics, 2016
The nonlinear stability and the existence of the periodic solutions for an optimal control problem on the Schrödinger Lie group are discussed. The analytic solutions via optimal homotopy asymptotic method of the dynamics and numerical simulations are ...
Ene Remus-Daniel, Pop Camelia, Petrişor Camelia   +2 more
doaj   +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
core   +2 more sources

Nonlinear stability of elliptic equilibria in Hamiltonian systems with exponential time estimates [PDF]

, 2021
In the framework of nonlinear stability of elliptic equilibria in Hamiltonian systems with n degrees of freedom we provide a criterion to obtain a type of formal stability, called Lie stability.
Cárcamo Díaz, Daniela Jacqueline, Palacián Subiela, Jesús Francisco, Vidal Díaz, Claudio, Yanguas Sayas, Patricia   +3 more
core   +1 more source

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
core   +1 more source

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
core   +2 more sources

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, Palacián Subiela, Jesús Francisco, Vidal Díaz, Claudio, Yanguas Sayas, Patricia   +3 more
core   +1 more source

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, A Deprit, A Giorgilli, AN Kolmogorov, CG J Jacobi, F Boigey, F Malige, F Pusateri, G Benettin, G Pinzari, G Schirinzi, Gabriella Pinzari, H Hofer, H Rüssmann, J Féjoz, J Féjoz, J Laskar, J Laskar, J Moser, J Pöschel, J Williamson, JF Palacián, K Abdullah, L Biasco, L Chierchia, L Chierchia, L Chierchia, L Chierchia, L Chierchia, L Niederman, L Niederman, L Zhao, M L Lidov, M Sansottera, N N Nehorošev, N N Nehorošev, N N Nekhoroshev, Ph Robutel, R Radau, S Ferrer, V I Arnol’d, V I Arnol’d, V I Arnol’d, V I Arnol’d   +43 more
core   +1 more source

Investigating traveling wave structures in the van der Waals normal form for fluidized granular matter through the modified S-expansion method

Partial Differential Equations in Applied Mathematics
This research discovers traveling wave solutions (TWSs) of the van der Waals normal form for fluidized granular matter using the modified S-expansion (MS-E) method.
Hamida Parvin, Md. Nur Alam, Md. Abdullah Bin Masud, Md. Jakir Hossen   +3 more
doaj   +1 more source

Normal Form and Nekhoroshev stability for nearly-integrable Hamiltonian systems with unconditionally slow aperiodic time dependence

, 2013
The aim of this paper is to extend the results of Giorgilli and Zehnder for aperiodic time dependent systems to a case of general nearly-integrable convex analytic Hamiltonians.
A Bounemoura, A Giorgilli, A Giorgilli, A Morbidelli, AD Perry, Alessandro Fortunati, AN Kolmogorov, G Benettin, G Gallavotti, J Glimm, J Moser, J Pöschel, J Pöschel, JE Littlewood, JE Littlewood, N N Nekhoroshev, N N Nekhoroshev, P Lochak, S Wiggins, Stephen Wiggins, Th Koshy, V I Arnol’d   +21 more
core   +1 more source

Generalized van der Waals Hamiltonian: Periodic orbits and C [PDF]

, 2012
Agraïments: The first author was partially supported by grant number PEII09-0220-0222. The third author was partially supported by Fundación Séneca de la Región de Murcia grant number 12001/PI ...
A. Elipe, F. Verhulst, H. Poincaré, J. J. Morales-Ruiz, Jaume Llibre, Juan A. Vera, Juan L. G. Guirao, R. Abraham, V. I. Arnold   +8 more
core   +2 more sources