Dynamical systems

2017-07-30T07:31:01+03:00[Europe/Moscow] en true Biological neuron model, Horseshoe map, Catastrophe theory, Interplanetary Transport Network, Analytical mechanics, Metastability, Dissipation, Linear difference equation, Isochron, Injection locking, State space flashcards Dynamical systems
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  • Biological neuron model
    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.
  • Horseshoe map
    In the mathematics of chaos theory, a horseshoe map is any member of a class of chaotic maps of the square into itself.
  • Catastrophe theory
    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.
  • Interplanetary Transport Network
    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.
  • Analytical mechanics
    In theoretical physics and mathematical physics, analytical mechanics, or theoretical mechanics is a collection of closely related alternative formulations of classical mechanics.
  • Metastability
    Metastability denotes the phenomenon when a system spends an extended time in a configuration other than the system's state of least energy.
  • Dissipation
    Dissipation is the result of an irreversible process that takes place in inhomogeneous thermodynamic systems.
  • Linear difference equation
    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.
  • Isochron
    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.
  • Injection locking
    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.
  • State space
    In the theory of discrete dynamical systems, a state space is the set of values which a process can take.