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We study the well/ill-posedness of the Boltzmann equation with dispersive methods. We take the constant collision kernel case as the 1st example. We construct a family of special solutions, which are ...
This work concerns the dynamics of towed array lifting devices (LFDs), which help to maintain the position of a tow line being dragged behind a vessel.
Self-sustained mechanical vibrations of a disc-type micro-fabricated resonator were experimentally observed when a con-tinuous wave (CW) laser beam was focused on the periphery of the disc (for a 40 μ...
This work presents an explicit formula for determining the radius of a limit cycle which is born in a Hopf bifurcation in a class of first order constant coefficient differential-delay equations. The ...
This paper consists of three parts, each devoted to a result due to J.-C. Yoccoz.The proofs are all somewhat modied, but they are also deeply in!uenced byYoccoz's work.
Hopf bifurcations have been studied intensively in two dimensional vector fields with one slow and one fast variable [′E. Benoˆıt et al., Collect. Math., 31 (1981), pp. 37–119; F. Dumortier...
The Hodgkin and Huxley equations model action potentials in squid giant axons. Variants of these equations are used in most models for electrical activity of excitable membranes. Computational tools...
termined by the coincidence of a subcritical Hopf bifurcation with a homoclinic orbit of the Hopf equilibrium. Our work is motivated by our previous analysis of a Hodgkin-Huxley neuron model which p...
How to sustain cooperation is a key challenge for any society. Different social organizations have evolved in the course of history to cope with this challenge by relying on different combinatio...
This paper formulates and implements a finite deformation theory of bifurcation of elastoplastic solids to planar bands within the framework of multiplicative plasticity. Conditions for the onset of s...
We consider a class of nonlinear Schrödinger/Gross–Pitaeveskii (NLS-GP) equations, i.e., NLS with a linear potential. NLS-GP plays an important role in the mathematical modeling of nonlinear opti...
The Morris-Lecar (ML) model has applications to neuroscience and cognition. A simple network consisting of a pair of synaptically coupled ML neurons can exhibit a wide variety of deterministic behavio...
Rotating waves are periodic solutions in SO(2) equivariant dynamical systems. Their precession frequency changes with parameters and it may change sign, passing through zero. When this happens, the dy...
In this letter the spontaneous bifurcation of Harris equilibrium current sheet is reported. The collisionless current bifurcation is simulated by a 2D particle-in-cell approach. Explicit particle adva...

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