The coefficient is necessarily positive and it is called the Liapunov exponent see ref. We’ll discuss these options later. Each frequency measurement is calculated from a data point 3 ms time record of the sinusoidal signal. There are two other features of this VI: The NLD system’s response is sent to the ADC input of the computer where it can be sampled either synchronously or asynchronously with respect to the driving frequency. Most of this material about chaos is unfamiliar to the majority of undergraduates. As an introductory exercise, do the following:

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Select “Random number generator. Is it similar to what you see in the return map? Each time through the loop the variable i increases by 1 i starts at zero and goes through N User login You will be redirected to the secure CalNet login page.

They should both be sinusoids. The tip-sample distance is kept constant by adjusting the piezo z voltage labvkew the cantilever frequency reaches the desired setpoint. Experiment and Procedure III. For both these driven systems, the basic set-up is the same: Hardware and electronics for cantilever self-excitation, and sample positioning and scanning.

NLD – Experiment and Procedure | Advanced Lab

See the LabView manual for details. Then connect the function generator to the Computer Interface Fig. A “bundle” is a LabView data-structure that is a convenient way of collecting several things into one.

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For this purpose, each graph window has its own palette of display controls Figure Use a scope to check the output. Vary it between and 10, Hz. The circuit is fully described in the reprints so we will labvjew summarize it here: To do this, you will have to modify both your program and quad.

These changes are necessary because the “AI Wave” module spits out a 2-dimensional array of numbers including a column of voltage values and a column of indices, while we only want a 1-dimensional array of voltage values. Look at each channel in time. Try making the cobweb analyzer yourself. The harmonics of the triangle wave that occur above the Nyquist frequency, will be aliased.

The recipe for producing the cobweb is as follows: Connections for the simple sampling VI that you will make. The sine-wave is also connected via the square-wave converter on the NLD box to the computer’s timer pin labeled GATE0 for computer measurement labiew the drive frequency.

Most of the math functions work this way for instance the log function can take an array of numbers and produce an array of logarithms of the numbers see Figure The information dimension of the attractors of the PN-junction and the Bouncing Ball circuit as compared to that of conservative Hamiltonian systems. Leave indexing off and only the single number that was calculated last will laabview passed on.

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Then wire it up in LabView, bundle them together as before, and input it into the “Build Array” labvirw to the other two bundles. Consequently, all of the inputs in quad. The computer controls the driving amplitude and measures the system’s response. Here is a list of helpful things you might want to know:.

Function Generator Remote Control

Whenever you connect a wire from the inside to the outside of a kabview a border node is formed to control how the data flows. Block diagram of the microscope and control system. The connections on the computer interface box.

The array is accumulated by means of the “indexing” feature at the border of the loop. What are the units of the DFT window?