Dynamical systems

Metastability denotes the phenomenon when a system spends an extended time in a configuration other than the system's state of least energy.

Dissipation is the result of an irreversible process that takes place in inhomogeneous thermodynamic systems.

In theoretical physics and mathematical physics, analytical mechanics, or theoretical mechanics is a collection of closely related alternative formulations of classical mechanics.

In mathematics, catastrophe theory is a branch of bifurcation theory in the study of dynamical systems; it is also a particular special case of more general singularity theory in geometry.

A biological neuron model, also known as a spiking neuron model, is a mathematical model of the electrical properties of neuronal action potentials, which are sharp changes in the electrical potential across the cell membrane that last for about one millisecond.

In the mathematics of chaos theory, a horseshoe map is any member of a class of chaotic maps of the square into itself.

The Interplanetary Transport Network (ITN) is a collection of gravitationally determined pathways through the Solar System that require very little energy for an object to follow.

In the theory of discrete dynamical systems, a state space is the set of values which a process can take.

Injection locking and injection pulling are the frequency effects that can occur when a harmonic oscillator is disturbed by a second oscillator operating at a nearby frequency.

In mathematics and in particular dynamical systems, a linear difference equation or linear recurrence relation equates 0 to a polynomial that is linear in the various iterates of a variable—that is, in the values of the elements of a sequence.

In the mathematical theory of dynamical systems, an isochron is a set of initial conditions for the system that all lead to the same long-term behaviour.