Infinite-Equilibrium Systems

In this chapter, dynamical systems with infinite equilibriums are discussed through the local analysis. A method for equilibriums in nonlinear dynamical systems is developed. The generalized normal forms of nonlinear dynamical systems at equilibriums are presented for a better understanding of singularity in nonlinear dynamical systems. The dynamics of infinite-equilibrium dynamical systems is discussed for the complexity and singularity of nonlinear dynamical systems. A few examples are presented for complexity and singularity in infinite-equilibrium systems.