An invariant set approached by trajectories from a neighborhood in the state space of a dynamical system. An attracting equilibrium point and an attracting limit cycle are elementary examples. In more precise definitions, compactness and an appropriate stability or trapping condition are often also required.
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An **attractor** is a concept used primarily in mathematics and physics, particularly in the study of dynamical systems. It refers to a set of values toward which a system tends to evolve over time. Here are some key points about attractors: 1. **Types of Attractors**: - **Fixed Point Attractors**: These are single points in state space. If the system's state is near this point, it will eventually converge to it.