Design strategies for the creation of aperiodic nonchaotic attractors.
Parametric modulation in nonlinear dynamical systems can give rise to attractors on which the dynamics is aperiodic and nonchaotic, namely, with largest Lyapunov exponent being nonpositive. We describe a procedure for creating such attractors by using random modulation or pseudorandom binary sequences with arbitrarily long recurrence times. As a consequence the attractors are geometrically fractal and the motion is aperiodic on experimentally accessible time scales. A practical realization of such attractors is demonstrated in an experiment using electronic circuits.
Max-Planck Institut fur Physik Komplexer Systeme, Dresden, Germany.
Amitabha
A
Nandi
Sourav K
SK
Bhowmick
Syamal K
SK
Dana
Ram
R
Ramaswamy
D000465:Algorithms; D003198:Computer Simulation; D015233:Models, Statistical; D017711:Nonlinear Dynamics; D009991:Oscillometry / Q000379:methods*