The Equation of Motion in r is a second order differential equation in r. This equation represents a mathematical relationship between the quantities inside the function M, and it states that the value of the function M is zero. The notation of…
read moreA dynamical system is a mathematical concept used to describe how a set of variables changes over time. In particular, it is a system where the state of the system at any given time determines its future behavior. In a dynamical system,…
read moreAt any given time, a dynamical system has a state representing a point in an appropriate state space. This state is often given by a tuple of real numbers or by a vector in a geometrical manifold. The evolution rule of the…
read moreA state variable is one of the set of variables that are used to describe the mathematical “state” of a dynamical system. Intuitively, the state of a system describes enough about the system to determine its future behavior in the absence of…
read moreIn physics, the state of a system refers to a complete description of all the physical properties that are relevant to the behavior of that system. The state of a system can include a wide range of parameters, such as the position…
read moreChaos theory describes the underlying patterns and deterministic laws of dynamical systems that were once thought to have completely random states of disorder and irregularities, but found to be completely deterministic but simply highly sensitive to initial conditions. Such high sensitivity to…
read moreJerk is the third derivative of position with respect to time .
read moreOverbar Indicates Average
read moreThe arrow indicates the quantity acceleration is a vector quantity. Related
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