The Objective of the paper is to develop a new asymmetric hyperchaotic system with more complexity. The system has two dissimilar equilibrium points. Non-uniform contraction and expansion of volume in phase space is also an important property of the proposed system. A hyperchaotic system with above characteristics is first time reported here. Details theoretical and numerical analyses of the pr...

Nonlinear parametric excitation refers to the nonlinear analysis of a system of ordinary differential equations with periodic coefficients. In contrast to linear parametric excitation, which offers determinations of the stability of equilibria, nonlinear parametric excitation has as its goal the structure of the phase space, as given by a portrait of the Poincare map. In this article, perturbat...

We consider d=10 N=1 supersymmetry algebra with maximal number of tensor charges Z and introduce a class of orbits of Z, invariant w.r.t. the T8 subgroup of massless particles’ little group T8 ⋉ SO(8). For that class of orbits we classify all possible orbits and little groups, which appear to be semidirect products of T8 ⋉ SO(k1) × ...SO(kn) form, with k1 + ...kn = 8, where compact factor is sp...

The obective of the paper is to develop a new hyperchaotic system with a single equilibrium point. The system is more hyperchaotic, larger bandwidth and complex than many other reported hyperchaotic systems. The proposed hyperchaotic system has non-uniform contraction and expansion of volume in phase space. Different theoretical and numerical techniques are used to analyse the proposed hypercha...

We consider d=10 N=1 supersymmetry algebra with maximal number of tensor charges Z and introduce a class of orbits of Z, invariant w.r.t. the T8 subgroup of massless particles’ little group T8 ⋉ SO(8). For that class of orbits we classify all possible orbits and little groups, which appear to be semidirect products of T8 ⋉ SO(k1) × ...SO(kn) form, with k1 + ... + kn = 8, where compact factor is...

We will show that the duality for regular weight system introduced by K. Saito can be interpreted as the duality for the orbifoldized Poincare polynomial χ(W,G)(y, ȳ). Introduction In [A], Arnold discovered a strange duality among the 14 exceptional singularities. This was interpreted by Dolgachev, Nikulin and Pinkham in terms of the duality between algebraic cycles and transcendental cycles on...

It is shown that Poincare* duality groups which satisfy the maximal condition on centralisers have a canonical decomposition as the fundamental group of a finite graph of groups in which the edge groups are polycyclic-by-finite. The results give useful information only when there are large polycyclic subgroups. Since 3-manifolds groups satisfy Max-c, the results provide a purely grouptheoretic ...

Investigators from Necker Enfants Malades Hospital, Sorbonne Paris Cite University, Raymond Poincare University, and Paris Descartes University studied motor neuron function in children with Dravet syndrome (DS).

In this paper, homotopy perturbation and modified Lindstedt-Poincare methods are employed for nonlinear free vibrational analysis of simply supported and double-clamped beams subjected to axial loads. Mid-plane stretching effect has also been accounted in the model. Galerkin's decomposition technique is implemented to convert the dimensionless equation of the motion to nonlinear ordinary differ...