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Leto [7]
1 year ago
10

does the pair of equilibria produced by a saddle-node bifurcation have to consist of one that is stable and one that is unstable

?
Physics
1 answer:
Amiraneli [1.4K]1 year ago
3 0

This bifurcation is called a saddle-node bifurcation. In it, a pair of hyperbolic equilibria, one stable and one unstable, coalesce at the bifurcation point, annihilate each other and disappear.

<h3>What is a bifurcation equilibria?</h3>
  • The mathematical study of changes in a family of curves' qualitative or topological structure, such as the integral curves of a family of vector fields or the solutions to a family of differential equations, is known as bifurcation theory.
  • A bifurcation happens when a tiny, gradual change in a system's parameter values (the bifurcation parameters) results in an abrupt, "qualitative," or topological change in the system's behavior.
  • This term is most frequently used to refer to the mathematical study of dynamical systems.
  • Both continuous systems (represented by ordinary, delay, or partial differential equations) and discrete systems can experience bifurcations (described by maps).

To learn more about bifurcation equilibria, refer to

brainly.com/question/14728055

#SPJ4

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How can a tennis ball and a bowling ball have the same momentum ?
Verdich [7]
C would be the right answer edu
7 0
3 years ago
Jack and Nas decided to have a race from their houses to the park to know who runs the fastest. Jack whose house is 15 kilometer
Anettt [7]

Answer:

the Jack speed is greater than the Nas speed  

   v₁ = 2.08 m / s >  v2 = 1.85 m / s

Explanation:

For this exercise we can find the average speed of each of the boys, the average speed is defined as the displacement in the time interval

          v = x / t

Jack.

It tells us that it travels x = 15 km in a time of t = 2 h

let's reduce the magnitudes to the SI system

     x = 15 km (1000 m / 1 km) = 15 10³ m

     t = 2 h (3600 s / 1 h) = 7200 s

let's calculate

     v₁ = 15 10³/7200

     v₁ = 2.08 m / s

Nas travels a distance of x = 10 km in a time of t = 1.5 h

      x = 10 km = 10 10³ m

      t = 1.5 h (3600s / 1h) = 5400 s

let's calculate the speed

     v2 = 10 10³/5400

      v2 = 1.85 m / s

From these results we can see that the Jack speed is greater than the Nas speed

4 0
3 years ago
A meterstick is initially standing vertically on the floor. If the meterstick falls over, with what angular velocity will it hit
notsponge [240]

L = length of the meter stick = 1 m

h = height of center of mass of stick from bottom end on the floor = L/2 = 1/2 = 0.5 m

m = mass of the meter stick

I = moment of inertia of the meter stick about the bottom end

w = angular velocity as it hits the floor

moment of inertia of the meter stick about the bottom end is given as

I = m L²/3

using conservation of energy

rotational kinetic energy of meter stick as it hits the floor = potential energy when it is vertical

(0.5) I w² = m g h

(0.5) (m L²/3) w² = m g h

( L²) w² =  6g h

( 1²) w² =  6 (9.8) (0.5)

w = 5.4 rad/s

8 0
4 years ago
(i) a force of 35.0 n is required to start a 6.0-kg box moving across a horizontal concrete floor, (a) what is the coefficient o
Serjik [45]

a. The force applied would be equal to the frictional force.

F = us Fn

where, F = applied force = 35 N, us = coeff of static friction, Fn = normal force = weight

 

35 N = us * (6 kg * 9.81 m/s^2)

us = 0.595

 

b. The force applied would now be the sum of the frictional force and force due to acceleration

F = uk Fn + m a

where, uk = coeff of kinetic friction

 

35 N = uk * (6 kg * 9.81 m/s^2) + (6kg * 0.60 m/s^2)

uk = 0.533

4 0
3 years ago
Which wave, A or B, has lower energy? A, because it has a higher amplitude B, because it has a higher amplitude A, because it ha
frutty [35]

Energy of wave depends on its amplitude and it is given as

E = \frac{1}{2} kA^2

here k = constant

A = amplitude

so energy will increase or decrease depends on the amplitude of the wave

So here if we need to check which wave has lower energy then we need to compare the amplitude.

If the amplitude is less then energy must be less

So please check in the figure that which wave out of A and B has lesser amplitude to find out the wave of lesser energy

5 0
3 years ago
Read 2 more answers
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