@article{1463452,
      recid = {1463452},
      author = {Luo, Albert C. J.,},
      title = {Two-dimensional quadratic nonlinear systems., Volume I,:  Univariate vector fields /},
      pages = {1 online resource (1 volume) :},
      abstract = {This book focuses on the nonlinear dynamics based on the  vector fields with univariate quadratic functions. This  book is a unique monograph for two-dimensional quadratic  nonlinear systems. It provides different points of view  about nonlinear dynamics and bifurcations of the quadratic  dynamical systems. Such a two-dimensional dynamical system  is one of simplest dynamical systems in nonlinear dynamics,  but the local and global structures of equilibriums and  flows in such two-dimensional quadratic systems help us  understand other nonlinear dynamical systems, which is also  a crucial step toward solving the Hilberts sixteenth  problem. Possible singular dynamics of the two-dimensional  quadratic systems are discussed in detail. The dynamics of  equilibriums and one-dimensional flows in two-dimensional  systems are presented. Saddle-sink and saddle-source  bifurcations are discussed, and saddle-center bifurcations  are presented. The infinite-equilibrium states are  switching bifurcations for nonlinear systems. From the  first integral manifolds, the saddle-center networks are  developed, and the networks of saddles, source, and sink  are also presented. This book serves as a reference book on  dynamical systems and control for researchers, students,  and engineering in mathematics, mechanical, and electrical  engineering.},
      url = {http://library.usi.edu/record/1463452},
      doi = {https://doi.org/10.1007/978-981-16-7873-8},
}