The presence of the power-law memory is a significant feature many natural (biological, physical, etc.) and social systems. Continuous discrete fractional calculus instrument to describe behavior systems with memory. Existence chaotic solutions an intrinsic property nonlinear dynamics (regular fractional). Behavior can be very different from corresponding no Finding periodic points essential fo...

Consensus is widely observed in nature as well as in society. Up to now, many works have focused on what kind of (and how) isolated single structures lead to consensus, while the dynamics of consensus in interdependent populations remains unclear, although interactive structures are everywhere. For such consensus in interdependent populations, we refer that the fraction of population adopting a...

finding a suitable estimation of stability domain around stable equilibrium points is an important issue in the study of nonlinear dynamical systems. this paper intends to apply a set of analytical-numerical methods to estimate the region of attraction for autonomous nonlinear systems. in mechanical and structural engineering, autonomous systems could be found in large deformation problems or c...

1 Department of Electromechanical Engineering, Centre for Aerospace Science and Technologies, UBI, University of Beira Interior, Calçada Fonte do Lameiro, 6201-001 Covilhã, Portugal 2 Scientific Area of Mathematics, ESTGV, Polytechnic Institute of Viseu, Campus Politécnico, 3504-510 Viseu, Portugal 3 Department of Mathematics and Applications, School of Sciences, Centre of Physics, University o...

Abstract -In this work we present a class of recurrent fashion. For example, the axons of the granule cells become networks which are asymptotically stable. For these networks, elongated and are arranged in parallel to each other forming the we discuss their similarity with certain structures in the central Parallel Fibers. Neurons from all the classes but granule cells, renervous system, and p...

The conjecture of Arino and van den Driessche (2003) that a SIS type model in a moverstayer epidemic model is globally asymptotically stable is confirmed analytically. If the basic reproduction number R0 ≤ 1, then the disease free equilibrium is globally asymptotically stable. If R0 > 1, then there exists a unique endemic equilibrium which is globally asymptotically stable on the nonnegative or...

Finding a suitable estimation of stability domain around stable equilibrium points is an important issue in the study of nonlinear dynamical systems. This paper intends to apply a set of analytical-numerical methods to estimate the region of attraction for autonomous nonlinear systems. In mechanical and structural engineering, autonomous systems could be found in large deformation problems or c...