Mathematical Models: Mechanical Vibrations, Population Dynamics, and Traffic Flow : an Introduction to Applied Mathematics |
From inside the book
Results 1-3 of 45
Page 308
... velocity equal to that slope ( equation 67.4 ) . The wave velocity can thus be positive or negative ! In the next section we will attempt to describe what a density wave is , in particular , what it means for the velocity of a density ...
... velocity equal to that slope ( equation 67.4 ) . The wave velocity can thus be positive or negative ! In the next section we will attempt to describe what a density wave is , in particular , what it means for the velocity of a density ...
Page 312
... velocities , the wave velocity and the rope velocity , just as there are car velocity and density wave velocity for traffic flow problems . In traffic flow problems , there are two important velocities : one the velocity of individual ...
... velocities , the wave velocity and the rope velocity , just as there are car velocity and density wave velocity for traffic flow problems . In traffic flow problems , there are two important velocities : one the velocity of individual ...
Page 402
... velocity , 32 Three - species ecosystems , 227 , 254 Thunder , 349 Time ... density ( see Density ( traffic ) ) density waves ( see Density waves ) ... wave , 382 rarefactive , 324 shallow water , 346 shocks , 349 ( see also Shocks , waves ) ...
... velocity , 32 Three - species ecosystems , 227 , 254 Thunder , 349 Time ... density ( see Density ( traffic ) ) density waves ( see Density waves ) ... wave , 382 rarefactive , 324 shallow water , 346 shocks , 349 ( see also Shocks , waves ) ...
Contents
NEWTONS | 6 |
OSCILLATION OF A SPRINGMASS SYSTEM | 12 |
QUALITATIVE AND QUANTITATIVE BEHAVIOR | 18 |
Copyright | |
72 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 of oscillation analyze approximation Assume birth c₁ calculation characteristics Consider constant coefficient corresponding d2x dt2 damping de/dt decreases delay depend derived determine difference equation discussed dx dt dx/dt energy integral equilibrium population equilibrium solution equivalent example exercise exponential Figure formula function growth rate Hint increases initial conditions initial value problem isoclines linearized stability analysis logistic equation mass mathematical model maximum method of characteristics motion moving N₁ Newton's nonlinear pendulum number of cars obtained occur ordinary differential equations oscillation P₁ partial differential equation period phase plane Pmax population growth potential energy r₁ result sharks shock Show shown in Fig simple harmonic motion Sketch the solution sketched in Fig slope solution curves solve species spring spring-mass system stable straight line Suppose Taylor series tion traffic flow trajectories Umax unstable equilibrium position variables vector x₁ yields zero