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Divergent Integrals Treatment in Quantum Field Theory Articles Gobira, S.Finally, sensitivity to initial conditions is studied by calculating Lyapunov exponents. Period-doubling cascade are observed using phase portrait and orbit diagram. The eigenvalues are calculated and the trajectories of the ChuaвЂ™ oscillator are analyzed, then the occurrence of Hopf bifurcation is demonstrated. The analysis of the stationary solution of differential equations system allows to show the occurrence of pitchfork bifurcation. This study begins with the definition of equilibrium points, this is done in a graphic and analytical way. Despite its simplicity, this oscillating circuit is a very useful device for studying basic principles of chaos theory. The ChuaвЂ™ circuit is one of the simplest dynamic systems that produce irregular behavior. The purpose of this article is to build an introductory approach to chaos theory from the ChuaвЂ™ oscillator for students of mathematics, physics and engineering. O RadiГґmetro de Crookes Г© um cata-luz Artigos Gerais Lunazzi, JosГ© JoaquГn.We use this problem to highlight the fact that the contact forces applied by the surface perform translational and rotational work despite that the total mechanical energy of the ladder is conserved. The second problem is a ladder which slides touching a frictionless surface. A detailed explanation of the change in the angular frequency from one case to another is given.

#MECANICA CINEMATICA ESCALAR FREE#

The angular frequency of the pendulum is calculated in two situations: disk fixed to the rod and disk free to spin.

The first problem is a pendulum composed of a rod and disk.

In this paper, we discuss a couple of problems which are typically used in basic physics courses, in order to highlight some aspects related to RBP motion which are not usually well understood by physics students. The study of the motion of a rigid body on a plane (RBP motion) is usually one of the most challenging topics that students face in introductory physics courses.

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