Are all complex systems chaotic?

Complexity is the generation of rich, collective dynamical behaviour from simple interactions between large numbers of subunits. Chaotic systems are not necessarily complex, and complex systems are not necessarily chaotic (although they can be for some values of the variables or control parameter; see below).

What makes a system chaotic?

We often say observations are chaotic when there is no discernible regularity or order.” So a simple, if slightly imprecise, way of describing chaos is “chaotic systems are distinguished by sensitive dependence on initial conditions and by having evolution through phase space that appears to be quite random.”

What is the difference between chaos and complexity?

Thus, chaos is concerned with a few parameters and the dynamics of their values, while the study of complex systems is concerned with both the structure and the dynamics of systems and their interaction with their environment. Related concepts: chaos, complexity, disorder, predictability, open systems.

Are chaotic systems nonlinear?

Chaotic systems are nonlinear (although technically you could have an infinite-order linear system which would be chaotic), but most nonlinear systems you observe can never be chaotic.

Are complex systems open systems?

Complex systems are usually open systems — that is, they exist in a thermodynamic gradient and dissipate energy.

Are chaotic systems unstable?

Chaotic systems are unstable since they tend not to resist any outside disturbances but instead react in significant ways.

Can a 2D system be chaotic?

For continuous 2D systems not of class 1, i.e. piecewise smooth continuous 2D ODE equations, chaos is perfectly possible.

What is chaotic function?

Functions where “nearby” Input does not generate “nearby” Output. Two things we might want to do with a function: Represent the whole function over its range. Just find the global maximum (or minimum) point.

Is Butterfly Effect proven?

Scientists have disproved the “butterfly effect” at the quantum level, refuting the idea that changes made in the past would have grave ramifications upon returning to the present. Such an effect only works in quantum mechanics, in simulations conducted via quantum computers, because time travel is not yet possible.

What are examples of complex systems?

Examples of complex systems include ant-hills, ants themselves, human economies, climate, nervous systems, cells and living things, including human beings, as well as modern energy or telecommunication infrastructures.