Abstract
Reciprocity of action and reaction, well known as the third Newtons law, can be violated in open complex systems of different nature. We analyze the dynamic behavior of the binary system with variable nonreciprocal interactions. We demonstrate that the resulting state in these systems is determined by interplay between dissipation and energy release (due to the interaction nonreciprocity), allowing bi-stability and corresponding dissipative phase transitions. The results of the Article shed light to a role of interactions nonreciprocity, intrinsic for different classes of open dynamical systems, from chemical physics and materials science to multi-agent systems and financial markets.
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