Abstract: In order to study the chaos nature of TCP in Heterogeneous Network, the major features were demonstrated such as periodicity, sensitivity to initial conditions (butterfly effect), and strange attractor of chaotic system by analyzing parameters in Heterogeneous Network proving that TCP shows chaos nature in Heterogeneous Network in certain situations. Numerical examples show that in the case of system with low bottleneck link, the system shows fine periodic and stable behavior, and there is no TCP deadlock phenomenon in the heterogeneous network system. In the case of system with larger bottleneck link, the system shows chaotic. And a chaotic and non-predictable Heterogeneous Network system can be turned into a regular easy-to-handle system by choosing proper initial value of parameters in the same condition, which throws new light on improving the TCP's performance in Heterogeneous Network.

Key words: heterogeneous network, chaotic nature, TCP congestion control, strange attractor, sensitivity to initial conditions