# Chaos - Revising The Newtonian World View, Current Research, Chaos May Depend On Initial Conditions And Attractors

### systems theory study complex

Chaos theory is used to model the overall behavior of complex systems. Despite its name, chaos theory is used to identify order in complex and otherwise seemingly unpredictable systems.

Chaos theory is used to understand explosions, complex **chemical reactions** (e.g., the Belousov-Zhabotinsky oscillating reaction that yields a red **solution** that turns blue at varying intervals of time), and many biological and biochemical systems. Chaos theory is now an important tool in the study of population trends and in helping to model the spread of **disease**. Epidemiologists use chaos theory to help predict the spread of epidemics.

Deterministic dynamical systems are those systems that are predictable based on accurate knowledge of the conditions of the system at any given time. When systems are, however, sensitive to their initial conditions they eventually become unpredictable. In particular, chaos theory deals with complex nonlinear dynamic (i.e., nonconstant, nonperiodic, etc.) systems. Nonlinear systems are those described by mathematical recursion and higher algorithms. Deterministic chaos, is mainly devoted to the study of systems the behavior of which can, in principle, be calculated exactly from equations of **motion**.

Chaos theory is the study of non-linear dynamic systems, that is, systems of activities (**weather**, **turbulence** in fluids, the stock market) that cannot be visualized in a graph with a straight line. Although dictionaries usually define "chaos" as "complete confusion," scientists who study chaos have discovered deep patterns that predict global stability in dynamic systems in spite of local instabilities.

## User Comments

almost 8 years ago

chaosnet3

"Chaos theory is used to model the overall behavior of complex systems. Despite its name, chaos theory is used to identify order in complex and otherwise seemingly unpredictable systems."

... despite its name ...

You felt obliged to mention it, the name 'chaos', the connotations attached, based on the current ideas held in the minds of people.

Your work a valuable resource, pointing towards the time that there would be no need, ... to include that phrase.