We discuss the spectral property of unstable dynamical systems in both classical and quantum mechanics. An important class of unstable dynamical systems corresponds to the Large Poincare Systems (LPS). Conventional perturbation technique leads then to divergences. We introduce methods for the elimination of Poincare divergences to obtain a solution of the spectral problem analytic in the coupli...

After a short review of the history and problems of relativistic Hamiltonian mechanics with action-at-a-distance inter-particle potentials, we study isolated two-body systems in the rest-frame instant form of dynamics. We give explicit expressions of the relevant relativistic notions of center of mass, we determine the generators of the Poincare’ group in presence of interactions and we show ho...

Stable particlelike solutions of Poincare-invariant nonlinear spinorial equations have been shown to exist in 1+3 dimensions. ' The recent discovery of renormalization properties of a spinorial field with Fermi self-interactions in the (1+3)-dimensional case suppresses a possible handicap in order to propose its solitary waves as interesting models to describe the properties of elementary parti...

The work focuses attention on strange but nonchaotic behaviour of dynamic systems as a relatively new phenomenon distinct from the usual strange chaotic one. Several characterization techniques associated with Poincare sections, Lyapunov exponents, capacity and information dimensions are used. It is shown that based on a single time series it is virtually impossible to distinguish between stran...

We consider the deformed Poincare group describing the space-time symmetry of noncommutative field theory. It is shown that the deformed symmetry is equivalent to explicit symmetry breaking. PACS number(s): 11.10-z, 11.30Cp

The κ−Poincare group and its algebra in an arbitrary basis are constructed. The κ−deformation of the Weyl group and its algebra in any dimentions and in the reference frame in which g00 = 0 are discussed.

Relativistic Gamow vectors were originally obtained from the Smatrix pole term for resonance formation experiments. They furnish an irreducible representation of the Poincare semi-group in the forward light cone and are characterized by spin and the complex pole position, very much like stable relativistic particles are labeled by spin and mass, and defined by Wigner’s basis vectors of unitary ...

Electrocardiogram is the recording of the electrical potential of heart versus time. The analysis of ECG signal has great importance in the detection of cardiac abnormalities. In this paper we have dealt about the removal of noises in ECG signals and arrhythmia classification of the signal.The inputs for our analysis is taken from MIT-BIH database (Massachusetts Institute of Technology Beth Isr...

Abstract: We introduce a dual lifting of unified gauge theories, the We introduce a dual lifting of unified gauge theories, the first characterized by the isotopies, which are axiompreserving maps into broader structures with positive-definite generalized units used for the representation of matter under the isotopies of the Poincare’ symmetry, and the second characterized by the isodualities, ...

The smart OGY control method is proposed for two-link rigid robot arm. For this goal the Bifurcation diagram should be applied for acceptable wide range of the input amplitude. Then by using the robot arm in a chaotic amplitude range and Poincare section, the UPO's will be found. After that, the OGY rules are defined for each UPO's and the maximum changed value of amplitude for each UPO's, whic...