Controlling intermediate dynamics in a family of quadratic maps
arXiv:1709.10170 · doi:10.1063/1.4985331
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.
arXiv comment6 pages and 5 figures
References in corpus (6)
- Frontiers of chaotic advection
- Ratchet transport and periodic structures in parameter space
- Temperature Resistant Optimal Ratchet Transport
- Quantum-classical transition and quantum activation of ratchet currents in the parameter space
- Proliferation of stability in phase and parameter spaces of nonlinear systems
- The effect of temperature on generic stable periodic structures in the parameter space of dissipative relativistic standard map