For today's automated vehicles and robots' technologies in driving dynamics, the elasticity in movements has a critical role. These movements can be simulated by using some platforms which are staying on balance. It is possible to perform a few linear and angular movements according to the platform model. The purpose of this study is to provide an independent drive and keep the carrier shaft on balance while the vehicle is on the move. The steering system on the vehicle has been specialized and a balancing platform on the vehicle has been achieved to keep the balance. The vehicle in this study has four wheels and they; all have been independently designed and controlled for the requested rotation. Ackermann Steering Geometry has been used for calculations of wheel angles. In this study, the Stewart platform which has a 3x3 connection model and parallel structure has been designed. It is possible to make different linear and angular moves with this model of the platform. The steering system and platform designs have been mounted as one unit of the structure by assembling. The system can be operated manually and automatically. A mobile application has been also developed to monitor the status of the system. After all, using MATLAB simulation, its made phase space limit control of the orientations of the platform's center point relative to the x, y, and z axes has been studied.

In this study, possible low dimensional chaotic behavior of Sakarya river flow rates is investigated via nonlinear time series techniques. To reveal the chaotic dynamics, the maximal positive Lyapunov exponent is calculated from the reconstructed phase space, which is obtained using the phase space reconstruction method. The method reconstructs a phase space from the scalar time series, which depicts the real system's invariants Positive values, because the Lyapunov exponent values calculated using the appropriate software program indicate possibility of chaotic behavior. Analyzed data involve the monthly average flow rates of eleven main branches of Sakarya River through the years 1960-2000.

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Abstract. Regions of the full parameter space for which chaotic behavior in laser models based on the Maxwell-Bloch equation occurs are studied [1]. The range in the parameter space have been charted, all possibilities for the value of the maximal Lyapunov exponent are shown to exist, positive maximal Lyapunov exponents characterizing chaotic behavior occurs for parameter values that correspond to the range of parameters for Helium-Neon lasers. The Maxwell-Bloch equations as given by [2] and [3] involve the coupling of the fundamental cavity mode, E with the collective variables P and ∆, that represent the atomic polarization and the population inversion. They are represented by the following equations.For the parameter values k = σ, γ ⊥ = g 2 /k = 1, g 2 ∆o/k = r, γ = b, the system can be transformed into the Lorenz system about the equilibrium point ∆ = ∆ o by setting x = E, y = gP/k,z = ∆ o − ∆. The meaning of the parameters in the original equations as given by Arrechi[2], while σ, r, b are the Lorenz parameters.Maxwell-Bloch equations can be transformed into a system proposed by [4], that resembles the Lotka-Volterra problem with I representing the intensity of the laser field and N denoting population density, the dimensionless rate equations for I and N are obtained by assuming I = E 2 and the subsidary condition gP = kE∆. Starting with the first Maxwell-Bloch Equation multiplying both sides by E gives EĖ = −kE 2 + gP E,Ṗ = −γ ⊥ P + gE∆ = −γ ⊥ P + g 2 P/k The subsidary condition enables one to solve for the polarization as P = Po exp (−(γ ⊥ P − g 2 /k)t) and the third equation becomes∆ = −γ (∆ − ∆o) − 4kE

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