Nonlinear Systems Blog 2018-05-19T12:41:32+00:00

Nonlinear Systems Posts

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...

ArticlesNonlinear Systems

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...

IdeasNonlinear Systems

Nonlinear Thinking

A line is often defined as the shorts path from one point to another, linear thinking then describes how we interpret events or act in terms of direct cause and effect means. When we use linear...

ArticlesNonlinear Systems

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...

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