Zobrazeno 1 - 10
of 51
pro vyhledávání: '"M A, Feix"'
Autor:
J. L. Rouet, M. R. Feix
Publikováno v:
Journal of Statistical Physics. 107:1283-1298
The (3x+1)/2 problem is generalized into the n-furcation problem (l i x+m i )/n where i∈[0, 1, ..., n−1]. It is shown that, under some constraints on l i and m i , the main bijection property between the k less significant digits of the seed, wri
Publikováno v:
Journal of Physics A: Mathematical and General. 34:10109-10117
The conventional approach to double reduction of the order of an ordinary differential equation using Lie symmetries is via the normal subgroups of point symmetries. We show that, provided that one is prepared to use nonlocal symmetries, initial redu
Autor:
J. L. Rouet, M. R. Feix
Publikováno v:
Physical Review E. 59:73-83
Publikováno v:
European Journal of Physics. 18:102-107
The transient and asymptotic solution of the Maxwell equations for a system of two bidimensional particles of opposite charges is studied. Initially the particles are at rest at the same point, then one remains motionless while the other drifts at co
Autor:
J. L. Rouet, M. R. Feix
Publikováno v:
Physics of Plasmas. 3:2538-2545
The test particle picture is a central theory of weakly correlated plasma. While experiments and computer experiments have confirmed the validity of this theory at thermal equilibrium, the extension to meta‐equilibrium distributions presents intere
Autor:
M. R. Feix, Giovanni Manfredi
Publikováno v:
Scopus-Elsevier
Echo phenomena occurring in various physical systems are investigated, and analytical results are checked against computer experiments. It is found that Coulomb self-consistent interactions reduce the amplitude of the echo. Proof is given of the poss
Publikováno v:
European Journal of Physics. 15:252-256
Numerical simulations of the microscopic behaviour of a one-dimensional two-component plasma are used to illustrate the wall theorem both in the cases of microcanonical and canonical ensemble.
Publikováno v:
Journal of Physics A: Mathematical and General. 27:L547-L551
Invariants of the motion (in general time-dependent first integrals) for a cubic three-wave system are obtained using the generalized Carleman method. It is shown that a subset of these invariants are of Lotka-Volterra type.
Publikováno v:
Journal of Statistical Physics. 76:725-741
We study the (3x = 1)/2 problem from a probabilistic viewpoint and show a forgetting mechanism for the last k binary digits of the seed after k iterations. The problem is subsequently generalized to a trifurcation process, the (lx + m)/3 problem. Fin
Publikováno v:
Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences. 444:643-650
We derive a general time-dependent invariant (first integral) for the quadratic system (QS) that requires only one condition on the coefficients of the QS. The general invariant could yield asymptotic behaviour of phase-space trajectories. With more