Such models are then studied using the mathematics of nonlinear dynamics.

Duke has pioneered studies involving nonlinear dynamics, chaos, and complex systems in physics.

The ability to control the system without understanding everything about its parts showed, once again, the usefulness of an approach based on nonlinear dynamics, he said.

Processes in industries like robotics and the aerospace industry typically have strong nonlinear dynamics.

In 1890, he published his first explanation of nonlinear dynamics, also called chaos theory.

He created a whole scientific school in nonlinear dynamics and synergetics in Russia.

His contributions have not only been scientific, but also he has organized and promoted the study of nonlinear dynamics throughout the world.

He is highly regarded for his work in nonlinear dynamics, particularly his contributions to periodic orbit theory.

Later, he was among the first ecologists to recognize the importance of nonlinear dynamics.

He has made solid contributions to the field of nonlinear dynamics and differential equations.