In a Hamiltonian system, what are the conditions for fixed points?
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In a Hamiltonian system, what are the conditions for fixed points?
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- Theoretical Mechanics Topic: Lagrangian and Hamiltonian Dynamics >Generate the necessary equations to this system. > Use the equations of motion >Generate equations for (x,y), (Vx,Vy), V², T > L = T-U --- For study purposes. Thank you!Question 2 If the kinetic energy T and the potential energy V of a mathematical system are given n? (k+1)q² + . 1 n2 T = k+ i + ġ142 +3, V = 2 2 (a) Find Hamilton function. (b) Find Hamilton equations. ? Answer.What is Hamiltonian cycle?
- Consider a particle of mass m undergoing simple harmonic motion. The force on the particle is given by Hooke's law F(x)=-kx. Determine the equation of motion by using the Euler-Lagrange equation.Let G(u, v) = (3u + v, u - 2v). Use the Jacobian to determine the area of G(R) for: (a) R = [0, 3] x [0, 5] (b) R = [2, 5] x [1, 7]Theoretical Mechanics Topic: Lagrangian and Hamiltonian Dynamics >Generate the necessary equations to this system. > Use the equations of motion >Generate equations for (x,y), (Vx,Vy), V², T > L = T-U --- For study purposes. Thank you!