Chaos

Chaos is defined as an unstable action in the presence of a stable environment.

"Chaos and instability, concepts only beginning to acquire formal definitions, were not the same at all. A chaotic system could be stable if its particular brand of irregularity persisted in the face of small disturbances." (Chap. 2, p. 48).

Gleick discusses the theories of Henri Poincare, considered to be the last great mathematician working at the turn of the century. Poincare was the first scientist to understand the possibility of chaos.

Physicists began to assert that chaos was present with instability. In 1959, Smale received a letter from a colleague explaining that this theory was false.

"In the emergence of chaos as a new science in the 1970s, ecologists were destined to play a special role. They used mathematical models, but they always knew that the models were thin approximations of the seething real world. In...