Rebeka Sarkar

3 Questions 1 Answers 0 Followers

Questions related from Rebeka Sarkar

In a Kapitza pendulum does the unstable equilibrium point becomes a centre from saddle point? How to prove this?

I am trying to numerically obtain the solution of a Kapitza pendulum when the forcing parameters are tuned for stability. The zone of stability in the parameter plane is obtained using Floquet...

12 February 2025 8,230 1 View

Can we always trust the numerical solution (computed using RK4(5)) of system of odes, with an unknown analytical solution?

I stumbled upon a problem while reproducing some numerical solution of MATLAB (ode45) in Python (using solve_ivp) using the default Abstol (1e-6) and Reltol (1e-3) for both cases. And to my...

16 December 2022 2,951 5 View

In addition to at least one positive Lyapunov exponent, why is it also necessary to have one zero Lyapunov exponent for the confirmation of chaos?

The positive Lyapunov exponent confirms chaos is a bounded, deterministic system. I suppose the boundedness of the system has to comply with the presence of one zero Lyapunov exponent. Then again...

27 August 2022 6,023 2 View