This book presents developments in nonlinear and complex systems, including theoretic techniques based on a dynamical systems.

The improvement of protection systems is based on the introduction and use a mathematical apparatus. Ensuring confidentiality, integrity availability information an urgent important problem in modern world. Crisis processes are characteristic phenomena security systems, so stochastic models cannot always describe their functioning give solution. An effective tool for solving this can be dynamic...

2 The Floquet theory of the aktion potential 3 2.1 Periodic event . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 2.2 Tonic spikes are limit cycles . . . . . . . . . . . . . . . . . . . . . 3 2.3 Limit cycle stability . . . . . . . . . . . . . . . . . . . . . . . . . 4 2.3.1 Eigensystem of the Floquet matrix . . . . . . . . . . . . . 6 2.4 Neutral dimension and phase shifts . . . . ...