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The development of the computer has created the ability to simulate nonlinear systems and to begin to understand their behavior.
"We might find someone working on a nonlinear system and realize it has an application in weapons as well."
They have also been developed for solving nonlinear systems of equations.
Indeed, that's the hallmark of a nonlinear system: the parts don't add up to the whole.
He applies rigorous analysis to nonlinear systems and is a world leader in this field.
A nonlinear system like this couldn't be analyzed by breaking it into pieces.
It provides a nonlinear system which describes the energy flow through each transmission line.
In fact, Sterling's own worldview is based on a nonlinear systems mathematics model.
Although there are exceptions, nonlinear systems and models tend to be more difficult to study than linear ones.
He had never guessed that nonlinear systems could harbor such a penchant for order.
Feedback linearization is a common approach used in controlling nonlinear systems.
Most of the blame for this has fallen on the nature of nonlinear systems.
Finite escape time: Solutions of nonlinear systems may not exist for all times.
A common use of linear models is to describe a nonlinear system by linearization.
I remember an example that Vic gave me once, when we were discussing highly nonlinear systems."
Although its equations of motion can be linearized, a bike is a nonlinear system.
The Wiener series is important in nonlinear system identification.
Such behavior is exhibited in some nonlinear systems.
In nonlinear systems, there is no such relation.
Control design techniques for nonlinear systems also exist.
Guckenheimer's research has also included the development of computer methods used in studies of nonlinear systems.
For nonlinear systems, the responsivity is the local slope (derivative).
For nonlinear systems this is one of the (necessary but not sufficient) conditions for chaotic behavior.
This mathematical property makes the solution of modelling equations simpler than many nonlinear systems.
Stocks' research interests are in the general area of stochastic nonlinear systems and biomimetics.