In this research, a typical Chua's circuit with a piecewise nonlinear resistor and a slow-
varying periodic excitation is considered to investigate the dynamical mechanisms of …

Canard-induced phenomena have been extensively studied in the last three decades, from
both the mathematical and the application viewpoints. Canards in slow-fast systems with (at …

In this chapter we gather recent results on piecewise-linear (PWL) slow-fast dynamical
systems in the canard regime. By focusing on minimal systems in R^ 2 (one slow and one …

In this paper, we investigate the bursting dynamics in a modified Bonhoeffer–van der Pol
oscillator with weak periodic excitation. First, by regarding the weak periodic excitation as a …

We derive the stochastic differential equation (SDE) in Itô's calculus corresponding to
nonlinear Fokker–Planck equation where the nonlinearity appearing in this evolution …

We have found a way for penetrating the space of the dynamical systems toward systems of
arbitrary dimension exhibiting the nonlinear mixing of a large number of oscillation modes …

We present a set of phase-space portraits illustrating the extraordinary oscillatory
possibilities of the dynamical systems through the so-called generalized Landau scenario. In …

Abstract The Feynman–Vernon influence functional formalism which is adequate for the
study of dissipative dynamics is used to describe weakly coupled circuits. The classical …

Generalized q-exponentials functions are employed to make a generalization of complete
and incomplete gamma functions. We obtain a generalization of this class of special …

Planar piecewise linear systems with hysteresis coming from a dimensional reduction in
symmetric 3D systems with slow–fast dynamics are considered. We concentrate our …