@article{940669,
      author = {Luo, Albert C. J.},
      url = {http://library.usi.edu/record/940669},
      title = {Bifurcation and stability in nonlinear discrete systems /},
      publisher = {Springer,},
      abstract = {This book focuses on bifurcation and stability in  nonlinear discrete systems, including monotonic and  oscillatory stability. It presents the local monotonic and  oscillatory stability and bifurcation of period-1  fixed-points on a specific eigenvector direction, and  discusses the corresponding higher-order singularity of  fixed-points. Further, it explores the global analysis of  monotonic and oscillatory stability of fixed-points in  1-dimensional discrete systems through 1-dimensional  polynomial discrete systems. Based on the Yin-Yang theory  of nonlinear discrete systems, the book also addresses the  dynamics of forward and backward nonlinear discrete  systems, and the existence conditions of fixed-points in  said systems. Lastly, in the context of local analysis, it  describes the normal forms of nonlinear discrete systems  and infinite-fixed-point discrete systems. Examining  nonlinear discrete systems from various perspectives, the  book helps readers gain a better understanding of the  nonlinear dynamics of such systems.},
      doi = {https://doi.org/10.1007/978-981-15-5},
      recid = {940669},
      pages = {1 online resource},
      address = {Singapore :},
      year = {2020},
}