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  1. The European Physical Journal B
  2. The European Physical Journal B : Volume 29
  3. The European Physical Journal B : Volume 29, Issue 2, September 2002
  4. Elastica hypoarealis
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The European Physical Journal B : Volume 90
The European Physical Journal B : Volume 89
The European Physical Journal B : Volume 88
The European Physical Journal B : Volume 87
The European Physical Journal B : Volume 86
The European Physical Journal B : Volume 85
The European Physical Journal B : Volume 84
The European Physical Journal B : Volume 83
The European Physical Journal B : Volume 82
The European Physical Journal B : Volume 81
The European Physical Journal B : Volume 80
The European Physical Journal B : Volume 79
The European Physical Journal B : Volume 78
The European Physical Journal B : Volume 77
The European Physical Journal B : Volume 76
The European Physical Journal B : Volume 75
The European Physical Journal B : Volume 74
The European Physical Journal B : Volume 73
The European Physical Journal B : Volume 72
The European Physical Journal B : Volume 71
The European Physical Journal B : Volume 70
The European Physical Journal B : Volume 69
The European Physical Journal B : Volume 68
The European Physical Journal B : Volume 67
The European Physical Journal B : Volume 66
The European Physical Journal B : Volume 65
The European Physical Journal B : Volume 64
The European Physical Journal B : Volume 63
The European Physical Journal B : Volume 62
The European Physical Journal B : Volume 61
The European Physical Journal B : Volume 60
The European Physical Journal B : Volume 59
The European Physical Journal B : Volume 58
The European Physical Journal B : Volume 57
The European Physical Journal B : Volume 56
The European Physical Journal B : Volume 55
The European Physical Journal B : Volume 54
The European Physical Journal B : Volume 53
The European Physical Journal B : Volume 52
The European Physical Journal B : Volume 51
The European Physical Journal B : Volume 50
The European Physical Journal B : Volume 49
The European Physical Journal B : Volume 48
The European Physical Journal B : Volume 47
The European Physical Journal B : Volume 46
The European Physical Journal B : Volume 45
The European Physical Journal B : Volume 44
The European Physical Journal B : Volume 43
The European Physical Journal B : Volume 42
The European Physical Journal B : Volume 41
The European Physical Journal B : Volume 40
The European Physical Journal B : Volume 39
The European Physical Journal B : Volume 38
The European Physical Journal B : Volume 37
The European Physical Journal B : Volume 36
The European Physical Journal B : Volume 35
The European Physical Journal B : Volume 34
The European Physical Journal B : Volume 33
The European Physical Journal B : Volume 32
The European Physical Journal B : Volume 31
The European Physical Journal B : Volume 30
The European Physical Journal B : Volume 29
The European Physical Journal B : Volume 29, Issue 4, October 2002
The European Physical Journal B : Volume 29, Issue 3, October 2002
The European Physical Journal B : Volume 29, Issue 2, September 2002
Topical issue on Geometry, Integrability and Nonlinearity in Condensed Matter Physics
Solitons in quantum Hall systems
Elastica hypoarealis
Three-dimensional motion of a vortex filament and its relation to the localized induction hierarchy
On the invertible objects in tensor categories
Complexifications and real forms of Hamiltonian structures
On the rational solutions of the Knizhnik-Zamolodchikov equation
Elementary, binary and Schlesinger transformations in differential ring geometry
New geometries associated with the nonlinear Schrödinger equation
Properties of supersymmetric integrable systems of KP type
Method of group foliation and non-invariant solutions of partial differential equations : Example: the heavenly equation
An integrable model in general relativity
Self-affine random surfaces
Some geometric aspects of maps
Interaction of coupled higher order nonlinear Schrödinger equation solitons
The modified nonlinear Schrödinger equation: facts and artefacts
Screw photon-like (3+1)-solitons in extended electrodynamics
On adiabatic N-soliton interactions and trace identities
On N-wave type systems and their gauge equivalent
Effect of phase shift in shape changing collision of solitons in coupled nonlinear Schrödinger equations
Quasi-periodic and periodic solutions for dynamical systems related to Korteweg-de Vries equation
Dynamics of twists on antiferromagnetic spin chains: Theory
Skyrmions on an elastic cylinder
Hedgehog production in spatially correlated noise
Off-center Li ions: solid state rotators described by Mathieu's nonlinear-oscillator equation
Standing wave instabilities, breather formation and thermalization in a Hamiltonian anharmonic lattice
Crowdion dynamics in a nonuniformly deformed three-dimensional crystal
Soliton dynamics in chiral molecular chains with first- and third-neighbour interactions
Lattice effects in the quasiparticle dynamics and kinetics
Exciton-polariton solitary waves
Non-linear dynamics of spinodal decomposition
An advected-field method for deformable entities under flow
Elasticity and shape equation of a liquid membrane
Writhing geometry of stiff polymers and scattered light
New solutions of the shape equation
Nonlinear surface polaritons in 2D electron system in high magnetic field
On exact singular wave functions of two identical particles
Symmetry-breaking in local Lyapunov exponents
Localization, Dirac fermions and Onsager universality
Generalizations of Heisenberg uncertainty relation
The European Physical Journal B : Volume 29, Issue 1, September 2002
The European Physical Journal B : Volume 28
The European Physical Journal B : Volume 27
The European Physical Journal B : Volume 26
The European Physical Journal B : Volume 25
The European Physical Journal B : Volume 24
The European Physical Journal B : Volume 23
The European Physical Journal B : Volume 22
The European Physical Journal B : Volume 21
The European Physical Journal B : Volume 20
The European Physical Journal B : Volume 19
The European Physical Journal B : Volume 18
The European Physical Journal B : Volume 17
The European Physical Journal B : Volume 16
The European Physical Journal B : Volume 15
The European Physical Journal B : Volume 14
The European Physical Journal B : Volume 13
The European Physical Journal B : Volume 12
The European Physical Journal B : Volume 11
The European Physical Journal B : Volume 10
The European Physical Journal B : Volume 9
The European Physical Journal B : Volume 8
The European Physical Journal B : Volume 7
The European Physical Journal B : Volume 6
The European Physical Journal B : Volume 5
The European Physical Journal B : Volume 4
The European Physical Journal B : Volume 3
The European Physical Journal B : Volume 2
The European Physical Journal B : Volume 1

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Elastica hypoarealis

Content Provider Springer Nature Link
Author Capovilla, R. Chryssomalakos, C. Guven, J.
Copyright Year 2002
Abstract We examine the equilibria of a rigid loop in the plane, characterized by an energy functional quadratic in the curvature, subject to the constraints of fixed length and fixed enclosed area. Whereas the only non self-intersecting equilibrium corresponding to the fixed length constraint is the circle, the area constraint gives rise to distinct equilibria labeled by an integer. These configurations exhibit self-intersections and bifurcations as the area is reduced. In addition, not only can the Euler-Lagrange equation be integrated to provide a quadrature for the curvature but the embedding itself can be expressed as a local function of the curvature. Perturbations connecting equilibria are shown to satisfy a first order ODE which is readily solved. Analytical expressions for the energy as a function of the area are obtained in the limiting regimes.
Starting Page 163
Ending Page 166
Page Count 4
File Format PDF
ISSN 14346028
Journal The European Physical Journal B
Volume Number 29
Issue Number 2
e-ISSN 14346036
Language English
Publisher EDP Sciences, Springer-Verlag
Publisher Date 2002-09-01
Publisher Place Les Ulis
Access Restriction One Nation One Subscription (ONOS)
Content Type Text
Resource Type Article
Subject Electronic, Optical and Magnetic Materials Condensed Matter Physics
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