Nonlinear Systems Articles 2019-02-15T14:29:28+00:00

# Nonlinear Systems Articles

## Nonlinear System

By |

Nonlinear System A nonlinear system is a type of system that defies the superposition principles of homogeneity and additivity. Feedback loops between components within nonlinear systems and over time give rise [...]

## Linear Systems

By |

Linear Systems Linear systems are defined by their adherence to what is called the superposition principles.View Source There are just two superposition principles and they are called homogeneity and [...]

## Synergies & Interference

By |

Synergies & Interference A synergy is a constructive relation between two or more elements through which value is added by components performing differentiated functions, while also coordinating their activities into [...]

## Nonlinear Feedback Loops

By |

Nonlinear Feedback Loops A feedback loop could be defined as a channel or pathway formed by an 'effect' returning to its 'cause,' and generating either more or less of the [...]

## Bifurcations & Attractors

By |

Bifurcations & Attractors An attractor is a set of states towards which a system will naturally gravitate and remain cycling through unless perturbed.View Source For any given system we [...]

## Punctuated Equilibrium

By |

Punctuated Equilibrium Punctuated equilibrium is a model first derived from evolutionary biology.View Source This model deals with the dynamics of a complex system, suggesting that most nonlinear systems exist in an [...]

## Long Tail Distributions

By ||

Long Tail Distributions A long tail distribution is one that has very few occurrences of very large events, and very many occurrences of very small events, which gives the graph [...]

## Exponents & Power Laws

By ||

Exponents & Power Laws The term power law describes a functional relationship between two quantities, where one quantity varies as a power - or exponent - of another.View Source [...]

## Fractals

By ||

Fractals Fractals are both physical phenomenon and mathematical objects, exhibiting a repeating pattern that is displayed at various levels of magnitude, what is called scale invariance, creating self-similar patterns under [...]

## Phase Transitions

By ||

Phase Transitions Phase transitions and bifurcations are periods of qualitative and often rapid change in the dynamics of a nonlinear system’s state.View Source They involve positive feedback loops that [...]

## Butterfly Effect

By |Tags: , |

Butterfly Effect The butterfly effect is a popular term for what is called sensitive dependence on initial conditions in which a small change in some input state to a nonlinear [...]

## Nonlinear Dynamics & Chaos

By |Tags: , |

Nonlinear Dynamics & Chaos Chaos theory is the study of nonlinear systems dynamics whose development is marked by iteration and feedback loops, making them sensitive to initial conditions (what is [...]

## Dynamical Systems

By |Tags: , |

Dynamical Systems Within science and mathematics, dynamics is the study of how things change with respect to time. As opposed to describing things simply in terms of their static properties, [...]