On Coexistence Patterns

Sindre W. Haugland first engaged with nonlinear dynamics in the context of his Master's studies in physics at the Technical University of Munich in 2012. From 2013 onward, he conducted extensive numerical research on coupled nonlinear oscillators and oscillatory media at the chair of Prof. Katharina Krischer, leading amongst other things to the discovery of one of the first known instances of a self-organized alternating chimera state in 2014. In 2015, he completed his Master's thesis on the complex Ginzburg-Landau equation with added nonlinear global coupling and on nonlinearly globally coupled ensembles of Stuart-Landau oscillators. Fom this early work grew an increased awareness of and deepened interest in the formerly unnamed general class of intricate dynamics that he later proposed to call "coexistence patterns". Thus, after having secured funding in the form of a competitive doctoral scholarship from the "Studienstiftung des deutschen Volkes", he subsequently spent five years investigating how such states of disparate dynamics can arise in an underlying isotropic system – ultimately leading to the insights covered in this book.

Outline.- General Background.- From Two-Cluster State to Chimera.- Coexistence Patterns of Four Oscillators.- A Hierarchy of Solutions for N = 2n.- Conclusion and Outlook.