Chaotic attractor generation via a simple linear time-varying system.
Chaotic attractors of two-dimensional invertible maps.
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 behavior of the biharmonic dynamics system.
Chaotic dynamics and nonlinear feedback control
Chaotic dynamics in a flexible exchange rate system: a study of noise effects.
Chaotic hypothesis and universal large deviations properties.
Chaotic time series analysis.
Chaotisches Verhalten in einfachen Systemen.
Characterization of chaos for continuous maps of the circle
Characterization of shadowing for linear autonomous delay differential equations
A well-known shadowing theorem for ordinary differential equations is generalized to delay differential equations. It is shown that a linear autonomous delay differential equation is shadowable if and only if its characteristic equation has no root on the imaginary axis. The proof is based on the decomposition theory of linear delay differential equations.
Chord diagrams in the classification of Morse-Smale flows on 2-manifolds
Circle-valued Morse theory and Reidemeister torsion.
Classification des difféomorphismes de Smale des surfaces : types géométriques réalisables
La notion de type géométrique d’une partition de Markov est au centre de la classification des difféomorphismes de Smale i.e. des difféomorphismes - structurellement stables des surfaces. On résout ici le problème de réalisabilité : on donne un critère effectif pour décider si une combinatoire abstraite est, ou n’est pas, le type géométrique d’une partition de Markov de pièce basique de difféomorphisme de Smale de surface compacte.
Classification of positive solutions of -Laplace equation with a growth term
We give a structure result for the positive radial solutions of the following equation: with some monotonicity assumptions on the positive function . Here , ; we consider the case when , and . We continue the discussion started by Kawano et al. in [KYY], refining the estimates on the asymptotic behavior of Ground States with slow decay and we state the existence of S.G.S., giving also for them estimates on the asymptotic behavior, both as and as . We make use of a Emden-Fowler transform...
Closed geodesics, periods and arithmetic of modular forms.
Closed orbits in homology classes
Cohomologie bornée des surfaces et courants géodésiques
Collective geodesic flows
We show that most compact semi-simple Lie groups carry many left invariant metrics with positive topological entropy. We also show that many homogeneous spaces admit collective Riemannian metrics arbitrarily close to the bi-invariant metric and whose geodesic flow has positive topological entropy. Other properties of collective geodesic flows are also discussed.
Collision Orbits in the Anisotropic Kepler Problem.