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Amplitude death can occur in chaotic dynamical systems with time-delay coupling, similar to the case of coupled limit cycles. The coupling leads to stabilization of fixed points of the subsystems. This phenomenon is quite general, and occurs for identical as well as nonidentical coupled chaotic systems. Using the Lorenz and Rössler chaotic oscillators to construct representative systems, various possible transitions from chaotic dynamics to fixed points are discussed.
Awadhesh Prasad (Mon,) studied this question.