Purely Imaginary Eigenvalues (PIE) in Extended Circuits with Mem-Devices

摘要: The contribution is concerned on the introduction of mem-devices as a replacement for nonlinear part hyperbolicity problem in circuit theory. These memory devices whose properties cannot be reproduced with standard resistors, capacitors and inductors were considered “fundamental” elements. In this paper, we focused purely imaginary eigenvalues (PIE) obtained from extended Duffing(Do), Duffing Van Der Pol (DVPo) Bonhoeffer (BVPo) oscillators. This work based semistate or differential-algebraic circuits equations, matrix notions diagraph We discovered that PIE only exist oscillators van due to presence LC block.