Spatiotemporal chaos in spatially extended fractional dynamical systems

This study focuses on the study of spatiotemporal and chaotic behavior in an extended non-integer order dynamical systems which describe the spatial interaction between two biological or chemical species popularly referred to as prey and predator model. Such systems are somewhat sensitive to initial-value condition, and also exhibit irregular temporal behavior which often leads to the formation of irregular spatial patterns in high dimensions. Over the years, spatiotemporal dynamics of interacting biological/chemical species has been an active subject of discussion. To study the systems for Turing instabil-ity, we require to analyze the stability criteria of non-diffusive models at nontrivial state which is most relevant and feasible to our study. We compute the Lyapunov exponents and establish that the Kaplan Yorke dimension exists in the models. Two models of recurring interests are considered for spatiotemporal/complex pattern formations.(c) 2023 Elsevier B.V. All rights reserved.