Intuitively, the state of a system describes enough about the system to determine its future behaviour in the absence of any external forces affecting the system. A dynamic programming language is a type of programming language that allows various operations to be determined and executed at runtime This is different from the compilation phase Key decisions about variables, method calls, or data types are made when the program is running, unlike in static languages, where the structure and types are fixed during compilation In physics, equations of motion are equations that describe the behavior of a physical system in terms of its motion as a function of time [1] more specifically, the equations of motion describe the behavior of a physical system as a set of mathematical functions in terms of dynamic variables
These variables are usually spatial coordinates and time, but may include momentum components The concept of a dynamical system has its origins in newtonian mechanics There, as in other natural sciences and engineering disciplines, the evolution rule of dynamical systems is an implicit relation that gives the state of the system for only a short time into the future (the relation is either a differential equation, difference equation or other time scale.) to determine the state for. Dynamical systems theory is an area of mathematics used to describe the behavior of complex dynamical systems, usually by employing differential equations by nature of the ergodicity of dynamic systems When differential equations are employed, the theory is called continuous dynamical systems
The systems are typically described by ordinary differential equations or partial differential equations.
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