-
1
-
-
0003235630
-
The asymptotic Hopf invariant and its applications
-
Erevan, Armenia: Armenian Academy of Sciences, In Russian
-
Arnold, V. I. 1974 The asymptotic Hopf invariant and its applications. In Proc. Summer School in Diff. Eqs. at Dilizhan, pp. 229-256. Erevan, Armenia: Armenian Academy of Sciences. [In Russian.],
-
(1974)
Proc. Summer School in Diff. Eqs. at Dilizhan
, pp. 229-256
-
-
Arnold, V.I.1
-
2
-
-
0000866621
-
-
transl
-
[transl. English 1986 Sel. Math. Sov. 5, 327-345.]
-
(1986)
Sel. Math. Sov
, vol.5
, pp. 327-345
-
-
English1
-
3
-
-
85020813028
-
-
Arnold, V. I. & Khesin, B. A. 1998 Topological methods in hydrodynamics, 125. Applied mathematical sciences. Berlin, Germany: Springer.
-
Arnold, V. I. & Khesin, B. A. 1998 Topological methods in hydrodynamics, vol. 125. Applied mathematical sciences. Berlin, Germany: Springer.
-
-
-
-
4
-
-
0035885440
-
How tangled is a tangle?
-
doi:10.1016/S0167-2789(01)00304- 9
-
Barenghi, C. F., Ricca, R. L. & Samuels, D. C. 2001 How tangled is a tangle? Physica D 157, 197-206. (doi:10.1016/S0167-2789(01)00304- 9)
-
(2001)
Physica D
, vol.157
, pp. 197-206
-
-
Barenghi, C.F.1
Ricca, R.L.2
Samuels, D.C.3
-
5
-
-
5844240816
-
Energy-crossing number relations for braided magnetic fields
-
doi:10.1103/PhysRevLett.70. 705
-
Berger, M. A. 1993 Energy-crossing number relations for braided magnetic fields. Phys. Rev. Lett. 70, 705-708. (doi:10.1103/PhysRevLett.70. 705)
-
(1993)
Phys. Rev. Lett
, vol.70
, pp. 705-708
-
-
Berger, M.A.1
-
6
-
-
0021504706
-
The topological properties of magnetic helicity
-
doi:10.1017/S0022112084002019
-
Berger, M. A. & Field, G. B. 1984 The topological properties of magnetic helicity. J. Fluid Mech. 147, 133-148. (doi:10.1017/S0022112084002019)
-
(1984)
J. Fluid Mech
, vol.147
, pp. 133-148
-
-
Berger, M.A.1
Field, G.B.2
-
7
-
-
0001443491
-
Sur les classes d'isotopie des noeuds tridimensionnels et leurs invariants
-
Cǎlugǎreanu, G. 1961 Sur les classes d'isotopie des noeuds tridimensionnels et leurs invariants. Czechoslovak Math. J. 11, 588-625.
-
(1961)
Czechoslovak Math. J
, vol.11
, pp. 588-625
-
-
Cǎlugǎreanu, G.1
-
8
-
-
32644479728
-
Physical and numerical models in knot theory
-
Calvo, J. A, Millett, K. C, Rawdon, E. J. & Stasiak, A, eds, Singapore: World Scientific
-
Calvo, J. A., Millett, K. C., Rawdon, E. J. & Stasiak, A. (eds) 2005 Physical and numerical models in knot theory, vol. 36. Series on knots and everything. Singapore: World Scientific.
-
(2005)
Series on knots and everything
, vol.36
-
-
-
9
-
-
0001393193
-
The energy and helicity of knotted magnetic flux tubes
-
doi:10.1098/rspa.1995.0146
-
Chui, A. Y. K. & Moffatt, H. K. 1995 The energy and helicity of knotted magnetic flux tubes. Proc. R. Soc. A 451, 609-629. (doi:10.1098/rspa.1995.0146)
-
(1995)
Proc. R. Soc. A
, vol.451
, pp. 609-629
-
-
Chui, A.Y.K.1
Moffatt, H.K.2
-
10
-
-
0024087551
-
A note on topology and magnetic energy in incompressible perfectly conducting fluids
-
doi:10.1017/S002211208800309X
-
Freedman, M. H. 1988 A note on topology and magnetic energy in incompressible perfectly conducting fluids. J. Fluid Mech. 194, 549-551. (doi:10.1017/S002211208800309X)
-
(1988)
J. Fluid Mech
, vol.194
, pp. 549-551
-
-
Freedman, M.H.1
-
11
-
-
0001723178
-
Divergence-free fields: Energy and asymptotic crossing number
-
doi:10.2307/2944336
-
Freedman, M. H. & He, Z.-X. 1991 Divergence-free fields: energy and asymptotic crossing number. Ann. Math. 134, 189-229. (doi:10.2307/2944336)
-
(1991)
Ann. Math
, vol.134
, pp. 189-229
-
-
Freedman, M.H.1
He, Z.-X.2
-
12
-
-
0037900278
-
On vortex atoms
-
Lord Kelvin 1867 On vortex atoms. Proc. R. Soc. Edin. 6, 94-105.
-
(1867)
Proc. R. Soc. Edin
, vol.6
, pp. 94-105
-
-
Kelvin, L.1
-
13
-
-
0014441553
-
The degree of knottedness of tangled vortex lines
-
doi:10.1017/S0022112069000991
-
Moffatt, H. K. 1969 The degree of knottedness of tangled vortex lines. J. Fluid Mech. 35, 117-129. (doi:10.1017/S0022112069000991)
-
(1969)
J. Fluid Mech
, vol.35
, pp. 117-129
-
-
Moffatt, H.K.1
-
14
-
-
0022145513
-
Magnetostatic equilibria and analogous Euler flows of arbitrarily complex topology. Part I. Fundamentals
-
doi:10.1017/S002211 2085003251
-
Moffatt, H. K. 1985 Magnetostatic equilibria and analogous Euler flows of arbitrarily complex topology. Part I. Fundamentals. J. Fluid Mech. 159, 359-378. (doi:10.1017/S002211 2085003251)
-
(1985)
J. Fluid Mech
, vol.159
, pp. 359-378
-
-
Moffatt, H.K.1
-
15
-
-
0001464426
-
The energy spectrum of knots and links
-
doi:10.1038/347367a0
-
Moffatt, H. K. 1990 The energy spectrum of knots and links. Nature 347, 367-369. (doi:10.1038/347367a0)
-
(1990)
Nature
, vol.347
, pp. 367-369
-
-
Moffatt, H.K.1
-
16
-
-
0000807788
-
Helicity and the Cǎlugǎreanu invariant
-
doi:10.1098/rspa.1992.0159
-
Moffatt, H. K. & Ricca, R. L. 1992 Helicity and the Cǎlugǎreanu invariant. Proc. R. Soc. A 439, 411-429. (doi:10.1098/rspa.1992.0159)
-
(1992)
Proc. R. Soc. A
, vol.439
, pp. 411-429
-
-
Moffatt, H.K.1
Ricca, R.L.2
-
17
-
-
0000668269
-
Applications of knot theory in fluid mechanics
-
eds V. F. R. Jones et al, pp, Branch Center Publications, Warsaw: Polish Academy of Sciences
-
Ricca R. L. 1998 Applications of knot theory in fluid mechanics. In Knot theory (eds V. F. R. Jones et al.), pp. 321-346. Branch Center Publications, vol 42. Warsaw: Polish Academy of Sciences.
-
(1998)
Knot theory
, vol.42
, pp. 321-346
-
-
Ricca, R.L.1
-
18
-
-
33750368054
-
Structural complexity
-
ed. A. Scott, pp, New York, NY; London, UK: Routledge
-
Ricca, R. L. 2005 Structural complexity. In Encyclopedia of nonlinear science (ed. A. Scott), pp. 885-887. New York, NY; London, UK: Routledge.
-
(2005)
Encyclopedia of nonlinear science
, pp. 885-887
-
-
Ricca, R.L.1
-
19
-
-
85020810963
-
-
Ricca, R. L. In press. Structural complexity and dynamical systems. In Lectures on topological fluid mechanics (ed. R. L. Ricca). Springer-CIME lecture notes in mathematics. Berlin, Germany: Springer.
-
Ricca, R. L. In press. Structural complexity and dynamical systems. In Lectures on topological fluid mechanics (ed. R. L. Ricca). Springer-CIME lecture notes in mathematics. Berlin, Germany: Springer.
-
-
-
-
20
-
-
0000941036
-
Ideal knots
-
Stasiak, A, Katritch, V. & Kauffman, L. H, eds, Singapore: World Scientific
-
Stasiak, A., Katritch, V. & Kauffman, L. H. (eds) 1998. Ideal knots, vol. 19. Series on knots and everything. Singapore: World Scientific.
-
(1998)
Series on knots and everything
, vol.19
-
-
-
21
-
-
0000751914
-
Self-linking and the Gauss integral in higher dimensions
-
doi:10.2307/2373348
-
White, J. H. 1969 Self-linking and the Gauss integral in higher dimensions. Am. J. Math. 91, 693-728. (doi:10.2307/2373348)
-
(1969)
Am. J. Math
, vol.91
, pp. 693-728
-
-
White, J.H.1
-
22
-
-
0001765032
-
A theorem on force-free magnetic fields
-
doi:10.1073/pnas.44.6.489
-
Woltjer, L. 1958 A theorem on force-free magnetic fields. Proc. Natl Acad. Sci. USA 44, 489-491. (doi:10.1073/pnas.44.6.489)
-
(1958)
Proc. Natl Acad. Sci. USA
, vol.44
, pp. 489-491
-
-
Woltjer, L.1
|