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61.
Let H be a simple finite classical group not isomorphic to PSL(n, q) for any n, q. We prove that every cyclic subgroup of H has a regular orbit on every nontrivial permutation H-set. 相似文献
62.
A mathematical study via variational convergence of a periodic distribution of classical linearly elastic thin plates softly abutted together shows that it is not necessary to use a different continuum model nor to make constitutive symmetry hypothesis as starting points to deduce the Reissner–Mindlin plate model. 相似文献
63.
Wenyong Cheng Xiaomin ZhangJingqin Su Rui ZhangMali Gong 《Optics and Lasers in Engineering》2011,49(3):371-375
Periodic chirped pulse (PCP) with applied angular dispersion has been approved to be an efficient beam smoothing method in inertial confinement fusion. In this paper, the propagation characteristics of dispersed PCP in near field is analyzed theoretically and calculated numerically, and the results indict dispersed PCP is a motion beam, which can be applied to improve beam uniformity in near field. An experiment is carried out to validate the near-field-intensity smoothing effect of PCP. 相似文献
64.
Given a subset E of convex functions from
into
which satisfy growth conditions of order p>1 and an open bounded subset
of
, we establish the continuity of a map μΦμ from the set of all Young measures on
equipped with the narrow topology into a set of suitable functionals defined in
and equipped with the topology of Γ-convergence. Some applications are given in the setting of periodic and stochastic homogenization. 相似文献
65.
66.
Motivated by the applications to differential equations without uniqueness conditions, we separately prove multivalued versions of the celebrated Sharkovskii and Li–Yorke theorems. These are then applied, via multivalued Poincaré operators, to Carathéodory differential inclusions. Thus, besides another, infinitely many subharmonics of all integer orders can be obtained. Unlike in the single-valued case, for example, period three brings serious obstructions. Three counter-examples, related to these complications, are therefore presented as well. In a multivalued setting, new phenomena are so exhibited. 相似文献
67.
Let F:Cn Cn be a holomorphic map, Fk be the kth iterate ofF, and p Cn be a periodic point of F of period k. That is,Fk(p) = p, but for any positive integer j with j < k, Fj(p) p. If p is hyperbolic, namely if DFk(p) has no eigenvalue ofmodulus 1, then it is well known that the dynamical behaviourof F is stable near the periodic orbit = {p, F(p),..., Fk1(p)}.But if is not hyperbolic, the dynamical behaviour of F near may be very complicated and unstable. In this case, a veryinteresting bifurcational phenomenon may occur even though may be the only periodic orbit in some neighbourhood of : forgiven M N\{1}, there may exist a Cr-arc {Ft: t [0,1]} (wherer N or r = ) in the space H(Cn) of holomorphic maps from Cninto Cn, such that F0 = F and, for t (0,1], Ft has an Mk-periodicorbit t with as t 0. Theperiod thus increases by a factor M under a Cr-small perturbation!If such an Ft does exist, then , as well as p, is said to beM-tupling bifurcational. This definition is independent of r. For the above F, there may exist a Cr-arc in H(Cn), with t [0,1], such that and, for t (0,1], has two distinct k-periodic orbits t,1 and t,2 with d(t,i, ) 0 as t 0 for i = 1,2. If such an does exist, then , as well as p, is said to be 1-tupling bifurcational. In recent decades, there have been many papers and remarkableresults which deal with period doubling bifurcations of periodicorbits of parametrized maps. L. Block and D. Hart pointed outthat period M-tupling bifurcations cannot occur for M >2 in the 1-dimensional case. There are examples showing thatfor any M N, period M-tupling bifurcations can occur in higher-dimensionalcases. An M-tupling bifurcational periodic orbit as defined here actsas a critical orbit which leads to period M-tupling bifurcationsin some parametrized maps. The main result of this paper isthe following. Theorem. Let k N and M N, and let F: C2 C2 be a holomorphicmap with k-periodic point p. Then p is M-tupling bifurcationalif and only if DFk(p) has a non-zero periodic point of periodM. 1991 Mathematics Subject Classification: 32H50, 58F14. 相似文献
68.
ON THE EXISTENCE THEOREMS OF NONTRIVIAL PERIODIC SOLUTIONS TOA CLASS OF NONLINEAR NON-AUTONOMOUS SYS
ONTHEEXISTENCETHEOREMSOFNONTRIVIALPERIODICSOLUTIONSTOACLASSOFNONLINEARNON-AUTONOMOUSSYSTEMS¥GaoZhanhai(高占海);ZhangDi(张棣)(North... 相似文献
69.
Valter Franceschini 《Journal of statistical physics》1980,22(3):397-406
For some high values of the Rayleigh numberr, the Lorenz model exhibits laminar behavior due to the presence of a stable periodic orbit. A detailed numerical study shows that, forr decreasing, the turbulent behavior is reached via an infinite sequence of bifurcations, whereas forr increasing, this is due to a collapse of the stable orbit to a hyperbolic one. The infinite sequence of bifurcations is found to be compatible with Feigenbaum's conjecture. 相似文献
70.