Catalogue of the books, manuscripts, maps and drawings in the British museum (Natural history) ....

v.8:suppl.P-Z (1940)

Catalogue of the books, manuscripts, maps and drawings in the British museum (Natural history) ....

v.7:suppl.J-O (1933)

Catalogue of the books, manuscripts, maps and drawings in the British museum (Natural history) ....

v.2:E-K (1904)

Catalogue of the books, manuscripts, maps and drawings in the British museum (Natural history) ....

v.5:SO-Z (1915)

Catalogue of the books, manuscripts, maps and drawings in the British museum (Natural history) ....

v.6:suppl.A - I (1922)

Catalogue of the books, manuscripts, maps and drawings in the British museum (Natural history) ....

v.4:P-SN (1913)

The Field Museum-Oxford University expedition to Kish, Mesopotamia, by Henry Field, Assistant Curator of Physical Anthropology. 14 plates in photogravure and 2 maps.

no.28(1929)

Bifurcations of homoclinic tangency in two-dimensional area-preserving and reversible maps

Report for the scientific sojourn at the Research Institute for Applied Mathematics and Cybernetics, Nizhny Novgorod, Russia, from July to September 2006. Within the project, bifurcations of orbit behavior in area-preserving and reversible maps with a homoclinic tangency were studied. Finitely smooth normal forms for such maps near saddle fixed points were constructed and it was shown that they coincide in the main order with the analytical Birkhoff-Moser normal form. Bifurcations of single-round periodic orbits for two-dimensional symplectic maps close to a map with a quadratic homoclinic tangency were studied. The existence of one- and two-parameter cascades of elliptic periodic orbits was proved.

Renormalization and α-limit set for expanding Lorenz maps

We establish a one-to-one correspondence between the renormalizations and proper totally invariant closed sets (i.e., α-limit sets) of expanding Lorenz map, which enable us to distinguish periodic and non-periodic renormalizations. We describe the minimal renormalization by constructing the minimal totally invariant closed set, so that we can define the renormalization operator. Using consecutive renormalizations, we obtain complete topological characteriza- tion of α-limit sets and nonwandering set decomposition. For piecewise linear Lorenz map with slopes ≥ 1, we show that each renormalization is periodic and every proper α-limit set is countable.

Continuity of set-valued maps revisited in the light of tame geometry

Continuity of set-valued maps is hereby revisited: after recalling some basic concepts of variational analysis and a short description of the State-of-the-Art, we obtain as by-product two Sard type results concerning local minima of scalar and vector valued functions. Our main result though, is inscribed in the framework of tame geometry, stating that a closed-valued semialgebraic set-valued map is almost everywhere continuous (in both topological and measure-theoretic sense). The result –depending on stratification techniques– holds true in a more general setting of o-minimal (or tame) set-valued maps. Some applications are briefly discussed at the end.