Results 21 to 30 of about 101 (54)

Investigation of new solitary stochastic structures to the Heisenberg ferromagnetic spin chain model via a Stratonovich sense

Partial Differential Equations in Applied Mathematics
This study examines how Stratonovich integrals (SIs) affect the solutions of the Heisenberg ferromagnetic spin chain (HFSC) equation using the modified (G'/G)-expansion (MG'/GE) scheme.
Md. Nur Alam
doaj   +1 more source

Periodic orbits associated to Hamiltonian functions of degree four [PDF]

, 2014
We consider the Hamiltonian polynomial function H of degree fourth given by either H(x,y,{p_x},{p_y}) = \frac{1}{2}(p_x^2 + p_y^2) + \frac{1}{2}({x^2} + {y^2}) + {V_3}(x,y) + {V_4}(x,y),\,\,{\text{or}}\,H(x,y,{p_x},{p_y}) = \frac{1}{2}( - p_x^2 + p_y^2)
Claudio Vidal, Dante Carrasco-Olivera, Dr. Uribe-Santibañez, Marco   +2 more
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Study of the parametric effect of the wave profiles of the time-space fractional soliton neuron model equation arising in the topic of neuroscience

Partial Differential Equations in Applied Mathematics
Time-space fractional nonlinear problems (T-SFNLPs) play a crucial role in the study of nonlinear wave propagation. Time-space nonlinearity is prevalent across various fields of applied science, nonlinear dynamics, mathematical physics, and engineering ...
Md. Nur Alam, Md. Azizur Rahman
doaj   +1 more source

Persistence of Diophantine flows for quadratic nearly-integrable Hamiltonians under slowly decaying aperiodic time dependence

, 2014
The aim of this paper is to prove a Kolmogorov-type result for a nearly-integrable Hamiltonian, quadratic in the actions, with an aperiodic time dependence.
A Celletti, A Celletti, A Fortunati, A Giorgilli, A Giorgilli, A Giorgilli, A Giorgilli, Alessandro Fortunati, AN Kolmogorov, E Zehnder, G Benettin, G Gallavotti, G Gallavotti, G Gentile, J Moser, J Moser, J Moser, JW Dettman, L Chierchia, L Chierchia, L Chierchia, LH Eliasson, M Berti, Stephen Wiggins, V I Arnol’d   +24 more
core   +1 more source

On the minimum exit rate for a diffusion process pertaining to a chain of distributed control systems with random perturbations [PDF]

, 2014
In this paper, we consider the problem of minimizing the exit rate with which a diffusion process pertaining to a chain of distributed control systems, with random perturbations, exits from a given bounded open domain.
Getachew K. Befekadu, J. Antsaklis, Panos   +2 more
core  

Stability of relative equilibria with singular momentum values in simple mechanical systems

, 2005
A method for testing $G_\mu$-stability of relative equilibria in Hamiltonian systems of the form "kinetic + potential energy" is presented. This method extends the Reduced Energy-Momentum Method of Simo et al.
Arnold V I, Duistermaat J J, Golubitsky M, Karapetyan A V, Lerman E, Lewis D, Lewis D, Marsden J E, Miguel Rodríguez-Olmos, Montaldi J, Ortega J-P, Palais R S, Paternain G P, Perlmutter M Rodríguez-Olmos M Sousa-Dias E, Routh E J   +14 more
core   +3 more sources

Symplectic Model Reduction of Hamiltonian Systems [PDF]

, 2015
In this paper, a symplectic model reduction technique, proper symplectic decomposition (PSD) with symplectic Galerkin projection, is proposed to save the computational cost for the simplification of large-scale Hamiltonian systems while preserving the ...
Mohseni, Kamran, Peng, Liqian
core  

Nonlinear Stability of Relative Equilibria and Isomorphic Vector Fields

, 2018
We present applications of the notion of isomorphic vector fields to the study of nonlinear stability of relative equilibria. Isomorphic vector fields were introduced by Hepworth [Theory Appl. Categ.
Klajbor-Goderich, Stefan
core   +1 more source

Evolution to mirror-symmetric galaxies

, 2023
The evolution of a rotating axisymmetric galaxy from an asymmetric state to a state of mirror symmetry with respect to the galactic plane has as basic result that in the asymmetric initial state the perpendicular $z$ normal mode is unstable for the $1:1$
Verhulst, Ferdinand
core  

Weak instability of Hamiltonian equilibria

, 2012
This is an expository paper on Lyapunov stability of equilibria of autonomous Hamiltonian systems. Our aim is to clarify the concept of weak instability, namely instability without non-constant motions which have the equilibrium as limit point as time ...
Zampieri, Gaetano
core