We consider a singularly perturbed system of differential equations of the form ε u′= g (u, v,
λ), v′= f (u, v, λ), where (u, v)∈ R 3, 0< ε≪ 1, and λ is a set of parameters. Such a system …

We present two dual oscillating circuits having a wide spectrum of dynamical properties but
relatively simple topologies. Each circuit has five bifurcating parameters, one nonlinear …

This paper develops a general framework for models, static or dynamic, in which agents
simultaneously make both discrete and continuous choices. I show that such models are …

Transonic inviscid flow equation of elliptic–hyperbolic type when written in terms of the
velocity components and similarity variable results in a second order nonlinear ODE having …

This paper proposes a novel tool to nonparametrically identify models with a discrete
endogenous variable or treatment: semi-instrumental variables (semi-IVs). A semi-IV is a …

This paper shows that the singularity induced bifurcation (SIB) phenomenon and
desingularization tool from nonlinear differential-algebraic equations (DAEs) are intrinsic …

This paper proposes a novel identification strategy relying on quasi-instrumental variables
(quasi-IVs). A quasi-IV is a relevant but possibly invalid IV because it is not completely …

It is shown that a relatively simple dynamical dc electric arc model shows complicated two-
parameter (2-D) bifurcations with both periodic and chaotic responses. 2-D bifurcation …

A singularity induced bifurcation (SIB) phenomenon is used in this paper to analyze
transonic flow in an unsteady gravitational field. Multiple sonic crossings by a single …

This paper discusses autonomous implicit models yielding self-crossing trajectories
(hystereses with odd symmetry), typical for mem-elements. In particular, the lemniscates of …