Mathematical Models: Mechanical Vibrations, Population Dynamics, and Traffic Flow : an Introduction to Applied Mathematics |
From inside the book
Results 1-3 of 37
Page 168
... decreases to either less than or greater than the carry- ing capacity , as shown in Fig . 40-4 . In a similar manner one can try to under- stand how the population may decrease even when it is less than the carrying capacity . It is the ...
... decreases to either less than or greater than the carry- ing capacity , as shown in Fig . 40-4 . In a similar manner one can try to under- stand how the population may decrease even when it is less than the carrying capacity . It is the ...
Page 271
... decreases ( as m increases ) again until the next car is located . The amplitude of the fluctuation decreases as the measuring interval gets longer . For extremely large measuring distances the 500 450 400 350 300 Traffic density 250 ...
... decreases ( as m increases ) again until the next car is located . The amplitude of the fluctuation decreases as the measuring interval gets longer . For extremely large measuring distances the 500 450 400 350 300 Traffic density 250 ...
Page 332
... decreases as p increases ( since d2q / dp2 < 0 , as will be shown ) . u max u = Umax ( 1 - p / Pmax ) u ( p ) velocity p density Pmax Figure 73-1 Linear velocity - density curve . In this case the traffic flow can be easily computed , q ...
... decreases as p increases ( since d2q / dp2 < 0 , as will be shown ) . u max u = Umax ( 1 - p / Pmax ) u ( p ) velocity p density Pmax Figure 73-1 Linear velocity - density curve . In this case the traffic flow can be easily computed , q ...
Contents
Mechanical Vibrations 1 | 3 |
NEWTONS LAW | 4 |
AS APPLIED TO A SPRINGMASS SYSTEM | 6 |
Copyright | |
80 other sections not shown
Other editions - View all
Mathematical Models: Mechanical Vibrations, Population Dynamics, and Traffic ... Richard Haberman No preview available - 1998 |
Common terms and phrases
amplitude applied approximation Assume calculated called cars characteristics conservation Consider constant continuous corresponding curve decreases density wave depends derived described determine differential equation discussed distance dx dt dx/dt energy equal equilibrium population equilibrium position equivalent example exercise expression Figure force formula friction function given growth rate hence highway illustrated increases indicate initial conditions integral intersect isoclines known length light limit linear manner mass mathematical model maximum measured method motion moving nonlinear number of cars observer obtained occurs oscillation partial differential equation pendulum period phase plane Pmax possible problem region result road satisfies shock Show shown in Fig simple sketched sketched in Fig slope solution solve species spring spring-mass system stable straight line Suppose tion traffic density traffic flow trajectories Umax unstable valid variables yields zero