There is by now a large consensus in modern monetary policy. This consensus has been built upon a dynamic general equilibrium model of optimal monetary policy as developed by, e.g., Goodfriend and King (1997), Clarida et al. (1999), Svensson (1999) and Woodford (2003). In this paper we extend the standard optimal monetary policy model by introducing nonlinearity into the Phillips curve. Under t...

Chaotic saddles are nonattracting dynamical invariant sets that can lead to a variety of physical phenomena. We report Ž . our finding and analysis of a type of discontinuous global bifurcation metamorphosis of chaotic saddle that occurs in high-dimensional chaotic systems with an invariant manifold. A metamorphosis occurs when a chaotic saddle, lying in the manifold, loses stability with respe...

In this paper, we consider convex optimization problems with constraints. By combining the idea of a Lie bracket approximation for extremum seeking systems and saddle point algorithms, we propose a feedback which steers a single-integrator system to the set of saddle points of the Lagrangian associated to the convex optimization problem. We prove practical uniform asymptotic stability of the se...

stability and performance are two main issues in motion of bipeds. to ensure stability of motion, a biped needs to follow specific pattern to comply with a stability criterion such as zero moment point. however, there are infinity many patterns of motion which ensure stability, so one might think of achieving better performance by choosing proper parameters of motion. step length and step perio...

A bstract We study complex saddles of the Lorentzian path integral for 4D axion gravity and its dual description in terms a 3-form flux, which include Giddings-Strominger Euclidean wormhole. Transition amplitudes are computed using with help Picard-Lefschetz theory. The number nature is shown to qualitatively change presence bilocal operator that could arise, example, as result considering high...

Abstract Studying the motion of Lennard-Jones clusters in an external potential having a very narrow channel passage at the saddle point, we present a one point boundary scheme to numerically sample transition (reaction) paths. This scheme does not require knowledge of the transition states (saddle points) or that of the final states. A transition path within a given time interval (0, tf ) cons...

We review and report observations of complex dynamics associated with loss of stability of two frequency quasiperiodicity at a saddle-node bifurc-ation of invariant two-tori. In particular, for a system of three weakly coupled electronic oscillators we nd`bubbles' in parameter space interrupting a curve on which there is a saddle-node of two-tori. These are comparable to Chenciner's bubbles fou...