Keyboard graph navigation: press N for concepts or E for relations; use arrow keys, Home, and End to move; Enter selects; Shift plus Enter selects and centers; plus and minus zoom; zero fits; Escape clears the selection. Use the visible viewport buttons as alternatives to dragging, wheel, and pinch gestures.
Canonical static concept record
Open this concept in the interactive graphRead the Markdown equivalent
The states reached from an initial state under the time-evolution maps. An orbit records the evolution generated by one initial condition, not the entire dynamical system.
wp-math-orbit-dynamicswp-math-dynamical-systemmit-ocw-nonlinear-dynamicsmit-ocw-nonlinear-dynamicsEach relation below ends at this concept.
This is an authored directed relation from the source endpoint to the target endpoint.
Choosing an initial state and applying all allowed evolution maps produces its orbit; the orbit is a state-dependent description of the system.
The target represents a state, property, observable, or state-dependent description associated with the source system or theory.
wp-math-orbit-dynamicswp-math-dynamical-systemEach relation below starts at this concept.
This is an authored directed relation from the source endpoint to the target endpoint.
A fixed point is the orbit consisting of a single state unchanged by the evolution.
The target is a member or subtype of the broader source class.
wp-math-fixed-pointwp-math-orbit-dynamicsmit-ocw-nonlinear-dynamicsThis is an authored directed relation from the source endpoint to the target endpoint.
A periodic orbit is an orbit that returns exactly after a nonzero period; not every recurrent orbit is periodic.
The target is a member or subtype of the broader source class.
wp-math-periodic-orbitwp-math-orbit-dynamicsmit-ocw-nonlinear-dynamics