Competition between plasmid-bearing and plasmid-free organisms in a chemostat with pulsed input and washout.
Competitive Exclusion in a Discrete Stage-Structured Two Species Model
We develop a stage-structured model that describes the dynamics of two competing species each of which have sexual and clonal reproduction. This is typical of many plants including irises. We first analyze the dynamical behavior of a single species model. We show that when the inherent net reproductive number is smaller than one then the population will go to extinction and if it is larger than one then an interior equilibrium exists and it is globally asymptotically stable. Then we analyze...
Complementary 2-forms of Poisson structures
Complete polynomial vector fields in simplexes with application to evolutionary dynamics.
Complete positivity of entropy and non-Bernoullicity for transformation groups
The existence of non-Bernoullian actions with completely positive entropy is proved for a class of countable amenable groups which includes, in particular, a class of Abelian groups and groups with non-trivial finite subgroups. For this purpose, we apply a reverse version of the Rudolph-Weiss theorem.
Completely Integrable Hamiltonian Systems Connected with Semisimple Lie Algebras.
Completely integrable systems associated with classical root systems.
Completely mixing maps without limit measure
We combine some results from the literature to give examples of completely mixing interval maps without limit measure.
Complex a priori bounds revisited
Complex centers of polynomial differential equations.
Complex continued fractions with restricted entries.
Complex dimensions of self-similar fractal strings and Diophantine approximation.
Complex dynamical systems and the geometry of domains in Banach spaces [Book]
Complex dynamics in a nonlinear cobweb model for real estate market.
Complex dynamics in a simple model of interdependent open economies.
Complex dynamics of an adnascent-type game model.
Complex dynamics, value distributions, and potential theory.
Complex entropy for dynamical systems
Complex one-frequency cocycles
We show that on a dense open set of analytic one-frequency complex valued cocycles in arbitrary dimension Oseledets filtration is either dominated or trivial. The underlying mechanism is different from that of the Bochi-Viana Theorem for continuous cocycles, which links non-domination with discontinuity of the Lyapunov exponent. Indeed, in our setting the Lyapunov exponents are shown to depend continuously on the cocycle, even if the initial irrational frequency is allowed to vary. On the other...
Complex Oscillations and Limit Cycles in Autonomous Two-Component Incommensurate Fractional Dynamical Systems
MSC 2010: 26A33, 34D05, 37C25In the paper, long-time behavior of solutions of autonomous two-component incommensurate fractional dynamical systems with derivatives in the Caputo sense is investigated. It is shown that both the characteristic times of the systems and the orders of fractional derivatives play an important role for the instability conditions and system dynamics. For these systems, stationary solutions can be unstable for wider range of parameters compared to ones in the systems with...