. Design for a brain. Brain -- Physiology; Central nervous system -- Mathematical models; Neurophysiology. Y v Figure 4/5/2. 4/5 DESIGN FOR A BRAIN to that sketched in Figure 4/5/1. The stability of the cube when resting on a face corresponds in the field to the convergence of the lines of behaviour to the centre. The square card balanced on its edge can be represented approxi- mately by two variables which measure displacements at right angles (x) and parallel (y) to the lower edge. The field will resemble that sketched in Figure 4/5/2. Displace- ment from the origin 0 to A is followed by a r
. Design for a brain. Brain -- Physiology; Central nervous system -- Mathematical models; Neurophysiology. Y v Figure 4/5/2. 4/5 DESIGN FOR A BRAIN to that sketched in Figure 4/5/1. The stability of the cube when resting on a face corresponds in the field to the convergence of the lines of behaviour to the centre. The square card balanced on its edge can be represented approxi- mately by two variables which measure displacements at right angles (x) and parallel (y) to the lower edge. The field will resemble that sketched in Figure 4/5/2. Displace- ment from the origin 0 to A is followed by a return of the representative point to 0, and this return corresponds to the stability. Displacement from 0 to B is followed by a departure from the region under consideration, and this departure corresponds to the instability. The uncertainty of the movements near O corresponds to the uncertainty in the behaviour of the card when released from the vertical position. The Watt's governor has a more complicated field, but an approximation may be obtained without difficulty. The system may be specified to an approximation sufficient for our purpose by three variables : (x) the speed of the engine and governor (), (y) the distance between the weights, or the position of the throttle, and (z) the velocity of flow of the steam. (y represents either of two quan- tities because they are rigidly connected). If, now, a disturb- ance suddenly accelerates the engine, increasing x, the increase in x will increase y ; this increase in y will be followed by a decrease of z, and then by a decrease of x. As the changes occur not in jumps but continuously, the line of behaviour must resemble that 46. Figure 4/5/3 : One line of behav- iour in the field of the Watt's governor. For clarity, the resting state of the system has been used as origin. The system has been displaced to A and then released,. Please note that these images are extracted from scanned page images that may have been digital
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Keywords: ., bookcentury1900, bookpublishernewyorkwiley, booksubjectneurophys
