Certain higher monotonicity properties of -th derivatives of solutions of
Champs lents-rapides complexes à une dimension lente
Champs magnétiques classiques et quantiques
Chaos in D0 brane dynamics
We consider the classical and quantum dynamics of D0 branes within the Yang-Mills approximation. Using a simple ansatz we show that a classical trajectory exhibits a chaotic motion. Chaotic dynamics in N=2 supersymmetric Yang-Mills theory is also discussed.
Chaos in some planar nonautonomous polynomial differential equation
We show that under some assumptions on the function f the system generates chaotic dynamics for sufficiently small parameter ϕ. We use the topological method based on the Lefschetz fixed point theorem and the Ważewski retract theorem.
Chaos synchronization between two different fractional systems of Lorenz family.
Chaotic behavior and modified function projective synchronization of a simple system with one stable equilibrium
By introducing a feedback control to a proposed Sprott E system, an extremely complex chaotic attractor with only one stable equilibrium is derived. The system evolves into periodic and chaotic behaviors by detailed numerical as well as theoretical analysis. Analysis results show that chaos also can be generated via a period-doubling bifurcation when the system has one and only one stable equilibrium. Based on Lyapunov stability theory, the adaptive control law and the parameter update law are derived...
Chaotic dynamics and nonlinear feedback control
Chaotic orbits of a pendulum with variable length.
Characterization of several classes of second-order ODEs by using differential invariants.
Chasse au canard. Ie partie.
Chemotaxis models with a threshold cell density
We consider a quasilinear parabolic system which has the structure of Patlak-Keller-Segel model of chemotaxis and contains a class of models with degenerate diffusion. A cell population is described in terms of volume fraction or density. In the latter case, it is assumed that there is a threshold value which the density of cells cannot exceed. Existence and uniqueness of solutions to the corresponding initial-boundary value problem and existence of space inhomogeneous stationary solutions are discussed....
Chordal cubic systems.
We classify the phase portraits of the cubic systems in the plane such that they do not have finite critical points, and the critical points on the equator of the Poincaré sphere are isolated and have linear part non-identically zero.
Classification and existence of positive solutions to nonlinear dynamic equations on time scales.
Classification des solutions d’un problème elliptique fortement non linéaire
On étudie la classification des solutions du problème elliptiqueoù et une fonction changeant de signe. En utilisant une méthode de tire, On montre qu’en partant avec une dérivée initiale nulle toutes les solutions sont globales. De plus si et l’ensemble des solutions est constitué d’une seule solution à support compact et de deux familles de solutions ; celles qui sont strictement positives et celles qui changent de signes. On montre aussi que ces deux familles tendent vers l’infini quand...
Classifications and existence of nonoscillatory solutions of second order nonlinear neutral differential equations
A class of neutral nonlinear differential equations is studied. Various classifications of their eventually positive solutions are given. Necessary and/or sufficient conditions are then derived for the existence of these eventually positive solutions. The derivations are based on two fixed point theorems as well as the method of successive approximations.
Coefficients of prolongations for symmetries of ODEs.
Coexistence of singular and regular solutions for the equation of Chipot and Weissler.
Coexistence of small and large amplitude limit cycles of polynomial differential systems of degree four
A class of degree four differential systems that have an invariant conic , , is examined. We show the coexistence of small amplitude limit cycles, large amplitude limit cycles, and invariant algebraic curves under perturbations of the coefficients of the systems.
Cohomology and Morse theory for strongly indefinite functionals.