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On the other hand, in the presence of external stimulus, a new degree of freedom is added to the original six-dimensional phase space to represent dynamics of the signaling molecule governed by Eq. 3. The resulting system can exhibit synchronized oscillations (Figs. 2 and 3).

Network Fundamental Diagram (NFD) or Macroscopic Fundamental Diagram (MFD) represents dynamics of traffic flow at the network level.

Equation (8) represents dynamics of the rotor speed ω r with rotor inertia J r driven by the aerodynamic torque (T a ).

Equation (10) represents dynamics of the generator speed ω g with generator inertia J g driven by the high speed shaft torque T hs and braking electromagnetic torque T em.

Equation (8) represents dynamics of the rotor speed ω r with rotor inertia J r driven by the aerodynamic torque T a. Open image in new window Fig. 1 Two mass model of the aero turbine J_{r} dot{omega }_{r} = T_{a} - T_{ls} - K_{r} omega_{r} (8).

T_{ls} = B_{ls} (theta_{r} - theta_{ls} ) + K_{ls} (omega_{r} - omega_{ls} ) (9 Equation (10) represents dynamics of the generator speed ω g with generator inertia J g driven by the high speed shaft torque (T hs ) and braking electromagnetic torque (T em ).

In [ 31], an adaptive multiscale entropy along each scale based on multivariate EMD (MEMD) has shown promising capability for representing dynamics of neural data.

The good agreement between experimental and simulation data shows the ability of the present model to accurately represent the dynamics of such systems.

Hence, its continuous-time limit, the Ornstein Uhlenbeck process should be well suited to represent the dynamics of the Poisson intensity in a cat swap pricing model.

The first four equations represent the dynamics of the heterotrimeric G protein cycle, and the last two equations represent the dynamics of the Cdc42 G protein cycle.

In particular, an alternative version of our model with a modified term in equation (5) to represent ethylene-induced cytosolic alkalinisation (see Additional file 1) is equally able to represent the dynamics of guard cells reported here.