The difference scheme showing the stiff transition from a regular
regime to a chaotic one
A.F. Golubentsev, V.M. Anikin
Department of Physics, Saratov State University, Saratov, Russia
The nonlinear system:
demonstrates the exotic "one-bifurcation" scenarios of transition from a regular regime to a chaotic one. For each negative value of control parameter a eq.(1) has two stable fixed points. For each positive value of a eq.(1) produces chaotic behavior having exact solutions:
Lyapunov number ln 2 and invariant measures in form of parametric Cauchy density.