Teaching Nonlinear Dynamics and Chaos for Beginners
نویسندگان
چکیده
We describe a course in Nonlinear Dynamics for undergraduate students of the first years of Chemical Engineering, Environmental Sciences and Computer Sciences. An extensive use of computational tools, the internet and laboratory experiments are key ingredients of the course. Even though their previous background in physics and mathematics might be limited, our experience shows that an appropriate selection of the contents with the use of some conceptual introductory ideas and multimedia techniques are an excellent way to introduce Nonlinear Dynamics and Chaos for beginners. The active participation of the students and the extraordinary interest arisen in them has been surprising.
منابع مشابه
Conservative chaotic flow generated via a pseudo-linear system
Analysis of nonlinear autonomous systems has been a popular field of study in recent decades. As an interesting nonlinear behavior, chaotic dynamics has been intensively investigated since Lorenz discovered the first physical evidence of chaos in his famous equations. Although many chaotic systems have been ever reported in the literature, a systematic and qualitative approach for chaos generat...
متن کاملBifurcation and Chaos in Size-Dependent NEMS Considering Surface Energy Effect and Intermolecular Interactions
The impetus of this study is to investigate the chaotic behavior of a size-dependent nano-beam with double-sided electrostatic actuation, incorporating surface energy effect and intermolecular interactions. The geometrically nonlinear beam model is based on Euler-Bernoulli beam assumption. The influence of the small-scale and the surface energy effect are modeled by implementing the consistent ...
متن کاملNonlinear dynamic of the multicellular chopper
In this paper, the dynamics of multicellular chopper are considered. The model is described by a continuous time three--dimensional autonomous system. Some basic dynamical properties such as Poincar'e mapping, power spectrum and chaotic behaviors are studied. Analysis results show that this system has complex dynamics with some interesting characteristics.
متن کاملDesign and Simulation of Adaptive Neuro Fuzzy Inference Based Controller for Chaotic Lorenz System
Chaos is a nonlinear behavior that shows chaotic and irregular responses to internal and external stimuli in dynamic systems. This behavior usually appears in systems that are highly sensitive to initial condition. In these systems, stabilization is a highly considerable tool for eliminating aberrant behaviors. In this paper, the problem of stabilization and tracking the chaos are investigated....
متن کاملNonlinear dynamics of low reynolds number round jets : periodic attractors and transition to chaos
HAL is a multi-disciplinary open access archive for the deposit and dissemination of scientific research documents, whether they are published or not. The documents may come from teaching and research institutions in France or abroad, or from public or private research centers. L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau...
متن کامل