Basins of Attraction for Higher-Dimensional Nonlinear Dynamical Systems: Preliminary Results on the Case Study of a Sympodial Tree

Abstract

© Springer Nature Switzerland AG 2020. Analysis of global behaviour of low-dimensional, strongly nonlinear dynamical systems has been well explored in the past, and modern trends are directed toward the investigation of dynamics of systems whose dimension is large, i.e. higher or equal to six. To deal with the huge number of computations required for high-dimensional global analysis, we are developing a software which exploits High Performance Computing (HPC) frameworks on cluster computers (distributed memory systems). In this work, we present preliminary results obtained during the global analysis of a model of a sympodial tree with the first/level branches, which has three degrees of freedom, i.e. six state variables.