What’s more, the chaos diagrams of complexity with the two parameters variation and the three parameters variation are analyzed. The complexity analysis results correspond to the bifurcation diagram and Lyapunov exponential spectrum, which shows that SampEn algorithm can effectively reflects complexity of chaotic system. The fractional-order chaotic system is solved by conformable Adomian decomposition method (CADM), and the complexity characteristics are analyzed through sample entropy (SampEn) algorithm. In this paper, a new fractional-order memristive circuit is defined based on canonical Chua’s circuit and Voltage-controlled memristor model.
Multisim 12 screen capture generator#
Finally, using the 4D-HCS, we design a pseudorandom number generator to explore its potential application in cryptography. To show the easy implementation of the 4D-HCS, we implement the 4D-HCS in an analogue circuit-based hardware platform, and the implementation results are consistent with the theoretical analysis. This finding suggests that applying three-or multi-value memristors in chaotic circuits can produce more complex dynamic properties than binary-valued memristors. In addition, the comparison with binary-valued memristor-based chaotic system shows that a chaotic system with a tri-valued memristor can generate hyper-chaos and coexistent attractors, while the one with a binary-valued memristor cannot. To rigorously verify the chaotic behavior, we analyze the topological horseshoe of the system and calculate the topological entropy. We also experimentally analyze the dynamics behaviors of the 4D-HCS in aspects of the phase diagram, bifurcation diagram, Lyapunov exponential spectrum, power spectrum and the correlation coefficient. Theoretical analysis shows that the 4D-HCS has complex hyper-chaotic dynamics such as hidden attractors and coexistent attractors. In this paper, a novel four-dimensional hyper-chaotic system (4D-HCS) based on a tri-valued memristor is found. Recently, the nonlinear dynamics of memristor has attracted much attention.
Multisim 12 screen capture software#
Finally, the National Institute of Standards and Technology tests confirmed that the proposed systems can produce sequences with strong pseudo-randomness, and the simulation circuit is built in Multisim software to verify the simulation results of some dynamic characteristics of the system. And, this type of system can also exhibit the coexistence of infinite orbits of different energies. Furthermore, a detailed multistable characteristic analysis of two systems is performed, and it is found that the two systems have different numbers of coexisting orbits under the same energy. An interesting phenomenon, namely that the proposed systems have multistable features when the initial values are changed, is observed. The constructed systems are analyzed, and their conservative and chaotic properties are verified by relevant analysis methods, including the equilibrium points, phase diagram, Lyapunov exponent diagram, bifurcation diagram, and two-parameter Lyapunov exponent diagram. Also, the constructed systems are conservative in both volume and energy. The proposed systems can have different types of coordinate-transformation and time-reversal symmetries. Taking symmetry as a starting point, this study proposes a class of five-dimensional(5D) conservative hyperchaotic systems by constructing a generalized Hamiltonian conservative system. Sampling time of first reading is different than the sampling time of second reading as meter is used to take one sample and then taking second reading ( after noting it down).įor this test, voltmeters with sample and hold function simultaneously triggered would give better results.The different phase diagrams of chaotic attractor, a the screen capture in v1-v2\documentclass planeĬonservative chaos systems have been investigated owing to their special advantages. Sampling time is different and hence another reason for error. This condition is different than in schematic in simulator. Meter internal resistance was put in parallel to only one capacitor at a time. That is voltage was first checked on one capacter, and then on the other.
Only one multimeter was used practically. It reaches the values of the matlab results after few minutes of simulation on my computer. I have posted screen capture at the start of simulation earlier. I simulated and found that the result on start on MULTISIM is exactly the same as mathematical calculations done. The charge on capacitors are rising initially with time.
The results of Computer Simulation is on Matlab but are taken after what time when simulation started? It is not steady state. In post #6, i think it does not prove anything except that the mathematical calculatins are correct.
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