BPcont, an Auto97 driver for the numerical continuation of simple branch points of algebraic and boundary-value problems, is described in detail. Simple branch points are points in the continuation space where two one-dimensional solution branches transversally intersect. Detection and accurate location of branch points along the continuation of a solution branch and switch to the continuation ...

We show that integrability of the BCS model extends beyond Richardson's model (where all Cooper pair scatterings have equal coupling) to that of the russian doll BCS model for which the couplings have a particular phase dependence that breaks time-reversal symmetry. This model is shown to be integrable using the quantum inverse scattering method, and the exact solution is obtained by means of t...

Symmetry plays an important role in human reasoning about physical systems. Symmetry has been used as a constraint when deriving models for specific systems (as in dimensional analysis) as well as for physical laws. After reviewing human reasoning by symmetry in physics, this paper formalizes a symmetry-based reasoning. In dimensional analysis, only the scale symmetry for unit of measure of ind...

this work deals with effects of asymmetric stiffness on the dynamic behaviour of the rotor system. the analysis is presented through an extended lagrangian hamiltonian mechanics on the asymmetric rotor system, where symmetries are broken in terms of the rotor stiffness. the complete dynamics of asymmetries of rotor system is investigated with a case study. in this work, a mathematical model is ...

Gait is a biometric feature and gait recognition has become a challenging problem in computer vision. New wavelet velocity moments have been developed to describe and recognize gait. Wavelet moments are translation, scale and rotation invariant. Wavelet analysis has the trait of multi-resolution analysis, which strengthens the analysis ability to image subtle feature. According with the psychol...

In present paper, the Sharma-Tasso-Olever (STO) equation is considered by the Lie symmetry analysis. All of the geometric vector fields to the STO equation are obtained, then the symmetry reductions and exact solutions of the STO equation are investigated. Our results witness that symmetry analysis was very efficient and powerful technique in finding the solutions of the proposed equation.

Symmetry is treated as a continuous property and a Continuous Symmetry Measure (CSM) of structures is de ned. The CSM of a structure is de ned to be the minimummean squared distance required to move points of the original structure and change it to a symmetrical structure. This general de nition of a symmetrymeasure enables a comparison of the amount of symmetry of di erent shapes and the amoun...

In the present paper, the Sawada–Kotera equation is considered by Lie symmetry analysis. All of the geometric vector fields to the Sawada–Kotera equation are obtained, and then the symmetry reductions and exact solutions of the Sawada–Kotera equation are investigated. Our results show that symmetry analysis is a very efficient and powerful technique in finding the solution of the proposed equat...

Symmetry is treated as a continuous property and a Continuous Symmetry Measure (CSM) of structures is de ned. The CSM of a structure is de ned to be the minimummean squared distance required to move points of the original structure and change it to a symmetrical structure. This general de nition of a symmetrymeasure enables a comparison of the amount of symmetry of di erent shapes and the amoun...