Controlling intermediate dynamics in a family of quadratic maps

Abstract

The intermediate dynamics of composed one-dimensional maps is used to multiply attractors in phase space and create multiple independent bifurcation diagrams which can split apart. Results are shown for the composition of k-paradigmatic quadratic maps with distinct values of parameters generating k-independent bifurcation diagrams with corresponding k orbital points. For specific conditions, the basic mechanism for creating the shifted diagrams is the prohibition of period doubling bifurcations transformed in saddle-node bifurcations.

6 pages and 5 figures

References in corpus (2)

• Quantum-classical transition and quantum activation of ratchet currents in the parameter space
• Proliferation of stability in phase and parameter spaces of nonlinear systems

Cited by in corpus (1)

• Optimal ratchet current for elastically interacting particles