Limit cycle for any positive value of the constant

Assignment Help Mechanical Engineering
Reference no: EM131383324

Van der Pol's equation Use Poincare-Bendixson to show that Van der Pol's equation.

x·· + ∈x·(x2-1) + x = 0,

has a limit cycle for any positive value of the constant ∈.

[The method is similar to that used for Rayleigh's equation in Example.]

Reference no: EM131383324

Questions Cloud

Show that given is self energy of uniform sphere of mass m : The internal gravitational potential energy of a system of masses is sometimes called the self energy of the system.- Show that the self energy of a uniform sphere of mass M and radius R is -3M2G/5R.
Determine the stability : The rod moves in a vertical plane through O. Show that there are two equilibrium positions for the rod, and determine their stability.
Tentative title and type of report : Employee turnover rates are high for many organizations, and you have noticed that the company you work for is no different. Research what other organizations are doing to hire and retain good employees in order to combat the high employee turnove..
Quality in the management of innovation : Read the article "The Strategic Functions of Quality in the management of innovation". Submit an essay as an attached WORD document summarizing the concepts in the article, and compare them to concepts learned during this module, and the concepts..
Limit cycle for any positive value of the constant : Van der Pol's equation Use Poincare-Bendixson to show that Van der Pol's equation. x·· + ∈x·(x2-1) + x = 0,- has a limit cycle for any positive value of the constant ∈.
Has the supreme court heard any challenges to these laws : Over time, there have been many challenges and changes in the laws governing drugs and alcohol. Drugs have been of particular interest to legislative bodies since the 1950s.Discuss the historical context of drug laws such as the Harrison Act of 19..
Describe the elements of good data backup planning : Define, describe and identify the elements of (a) good Data Backup Planning, (b) good Disaster Recovery Planning, and (c) good Business Continuity Planning. Be sure to identify and describe any interdependencies in the planning.
How did the scientific revolution evolve : Once in the virtual museum, go through each room and gain enough information to answer the following questions: How did the scientific revolution evolve? Who were some of the most prominent people
Are there any restrictions on the value of p : Use perturbation theory to find a two-term approximation to the driven response when ? is small. Are there any restrictions on the value of p?

Reviews

Write a Review

Mechanical Engineering Questions & Answers

  Calculate the bubble pressure and the composition of the

for a separations process it is necessary to determine the vapor-liquid equilibrium compositions of a mixture of a and

  Estimate the net power output of the plant in btuh if the

at a particular location in the ocean the temperature near the surface is 80of and the temperature at a depth of 1500

  Calculate the pressure and temperature at the remaining

an engine operates on an ideal cold air-standard otto cycle with a compression ratio of 8 r v1v2. heat transfer to the

  The lifetime in hours y of an electronic component is a

the lifetime in hours y of an electronic component is a random variable with density function given bynbspfy1100 e-y100

  A vertical hydraulic cylinder has a 125-mm diameter piston

a vertical hydraulic cylinder has a 125-mm diameter piston with hydraulic fluid inside the cylinder and an ambient

  Find the boundary work in kjkg c is the work into or out of

air is compressed in an insulated system from an initial volume and density of 0.42 m3 and 1.11 kgm3 respectively to a

  The specific heats above and below the freezing point are

a mass of 1200kg of fish at 20 celsius is to be frozen solid at -20 celsius. the freezing point of the fish is -2.2

  Te local acceleration of gravity is 981 ms2 determine the

a gas is contained in a vertical frictionless pixton-cylinder. the piston m 10 kg a- 7.5 x 10-3 m2 is attached to a

  Determine the smallest force p that should be applied

Knowing that the coefficient of static friction is 0.30 at all surfaces of contact, determine the smallest force P that should be applied as shown to one of the wedges.

  When the three blocks are released from rest they

when the three blocks are released from rest they accelerate with a magnitude of 0.660 ms2. block 1 has mass m block 2

  What is the amount of upsetting force

Average pressure at end of stroke? Upsetting force required at the end of the stroke? If friction is neglected, what is the amount of upsetting force?

  Maximum tensile stress and the maximum shear stress

A shaft having a 40 mm diameter carries a steady load F of 10,000 N and Torque T of 500,000 N-mm is shown in the following figure. The shaft does not rotate. Determine the maximum tensile stress and the maximum shear stress.

Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd