Conductance in discrete dynamical systems

S. Fernandes (1) , C. Grácio (1) , C. Ramos (1)

1 Departamento de Matemática da Universidade de Évora

We will cover results related to the study of the conductance on digraphs arising from discrete dynamical systems. Several definitions of conductance are known and we present a study which gives a comparison between them in order to choose the appropriate definition to applications. The study makes a strong use of symbolic dynamics. As an application, we analyze the mechanical system of the nonlinear pendulum.

Mots clés: Discrete dynamical systems; Symbolic dynamics; Invariants; Conductance

S. Fernandes, C. Grácio, C. Ramos. Conductance in discrete dynamical systems. Nonlinear Dynamics, 2010, 61 (3), pp.435-442. ⟨10.1007/s11071-010-9660-3⟩. ⟨hal-00567029⟩