Nonlinear Systems Articles 2017-07-01T15:33:47+00:00

Nonlinear Systems Articles

Nonlinear SystemsVideos

Linear Systems Theory

In this video we will discuss linear systems theory which is based upon the superposition principles of additivity and homogeneity, we will explore both of these principal separately to get a clear...

Nonlinear SystemsVideos

Systems Overview

In this module we give an overview to the model of a system that will form the foundations for our discussion on nonlinear systems, we will quickly present the basic concepts from systems theory...

MultimediaNonlinear Systems

Fractals In Pictures

Fractals are a curved or geometric figure, each part of which has similar characteristics as the whole. Fractals are useful in modeling structures, like coastlines or snowflakes, in which similar...

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Nonlinear System

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...

ArticlesNonlinear Systems

Linear Systems

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

ArticlesNonlinear Systems

Punctuated Equilibrium

Punctuated Equilibrium Punctuated equilibrium is a model first derived from evolutionary biology. This model deals with the dynamics of a complex system, suggesting that most nonlinear systems...

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Fractals

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...

ArticlesNonlinear Systems

Phase Transitions

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

ArticlesNonlinear Systems

Butterfly Effect

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 system can result...

ArticlesNonlinear Systems

Dynamical Systems

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, the...