Chaos in a periodically forced Lorenz system. Academic Article

abstract

• Periodic forcing provides a sensitive probe on the dynamics of the Lorenz system near the onset of chaos. The unstable limit cycle in the Lorenz system produced by Hopf bifurcation is found to stabilize beyond a critical amplitude of forcing. This extends the dynamical similarity of the Lorenz system to real hydrodynamics (unforced) up to the onset of turbulence. We study the routes to chaos in this forced system. 1985 The American Physical Society.

authors

• Saravanan, Ramalingam

published proceedings

• Phys Rev A Gen Phys

author list (cited authors)

• Saravanan, R., Narayan, O., Banerjee, K., & Bhattacharjee, J. K.

citation count

• 8

publisher

• American Physical Society (APS)  Publisher

published in

• Physical review. A, General physics  Journal

Digital Object Identifier (DOI)

• 10.1103/physreva.31.520

start page

• 520

end page

• 522

volume

• 31

issue

• 1

URL

• http://dx.doi.org/10.1103/physreva.31.520