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Abstract.A new 4-D memristive system is presented in this paper. The peculiarity of the model is that it displays a line of equilibrium points and it has hyperchaotic dynamics in a particular range of the parameters space. The behavior of the proposed system is investigated through numerical simulations, by using phase portraits, Lyapunov exponents and Poincaré sections. Furthermore, we have designed and implemented an electronic circuit to verify the feasibility of the proposed system.

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This work presents synchronization of two bidirectionally delay-coupled phase locked loop (PLL) systems with voltage controlled oscillator frequencies of 24 GHz to validate a non-hierarchical clock distribution approach. For this purpose, a PLL architecture that allows mutual coupling between two such nodes is introduced. An existing phase domain model is extended to include the nonlinear response of the oscillator to the tuning signal. With this extension the frequencies and phase-relations of self-organized synchronized states can be precisely predicted. This is verified by measurements obtained from two synchronized PLLs for different time delays and division factors. The predictions of the model are in good agreement with the measurements. For time delays up to 14 ns it is shown that self-organized synchronization is feasible at microwave frequencies.