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A Compactification of H′ enon Mappings in C2 as Dynamical Systems
H′ enon Mappings C2 as Dynamical Systems
2015/8/26
A Compactification of H′ enon Mappings in C2 as Dynamical Systems.
Dynamical quorum-sensing and synchronization of nonlinear oscillators coupled through an external medium
Dynamical quorum-sensing synchronization of nonlinear oscillators external medium
2010/12/28
Many biological and physical systems exhibit population-density dependent transitions to syn-
chronized oscillations in a process often termed \dynamical quorum sensing". Synchronization
frequently ...
Dynamical behavior of a plant-herbivore system with nutrient cycling in a polluted habitat
Plant Herbivore Pollutant
2010/9/21
In this paper, a mathematical model is proposed to study the effect of pollutant on the existence of plant-herbivore system with nutrient cycling. The deterministic mathematical model is formulated us...
Computation of Lyapunov exponents for dynamical system with impact
Computation Lyapunov exponents dynamical system impact
2010/9/20
Computation of Lyapunov exponents for dynamical system with impact.
On dynamical systems and phase transitions for $Q+1$-state $P$-adic Potts model on the Cayley tree
dynamical systems phase transitions
2010/11/11
In the present paper, we introduce a new kind of $p$-adic measures for $q+1$-state Potts model, called {\it $p$-adic quasi Gibbs measure}. For such a model, we derive a recursive relations with respe...
Spectral triples for hyperbolic dynamical systems
Spectral triples hyperbolic dynamical systems
2010/11/19
Spectral triples are defined for C*-algebras associated with hyperbolic dynamical systems known as Smale spaces. The spectral dimension of one of these spectral triples is shown to recover the topolog...
Small Random Perturbations of a Dynamical System with Blow-up
Small Random Perturbations Dynamical System
2010/11/22
We study small random perturbations by additive white-noise of a spatial discretization of a reaction-diffusion equation with a stable equilibrium and solutions that blow up in finite time. We prove ...
We evaluate the stability analysis results obtained by two different ways: the neoclassical Solow model and the DSSM. We conclude that the most important advantage achieved with the construction of th...
Dynamical analysis of a demand governed market
innovative commodities Hopf bifurcation limit cycles
2009/1/6
We use a modi¯ed Rosenzweig-Mac Arthur ODE system in
order to model a market in which innovative products are launched ac-
cording to a growth function in°uenced by both producers and consumers...
Compensation problem in finite dimension linear dynamical systems
Dynamical systems remediability observation control
2010/9/14
In this work, we consider a class of finite dimension disturbed dynamical systems. We study with respect to the observation, the possibility of finite time or asymptotic compensation of known or unkno...
Monotone Trajectories of Dynamical Systems and Clarke's Generalized Jacobian
Dynamical Systems Monotone Trajectories Generalized Jacobian Variational Inequalities
2008/6/30
We generalize some results due to Pappalardo and Passacantando [10]. We prove necessary and sufficient conditions for the monotonicity of a trajectory of an autonomous dynamical system with locally Li...
FRW barotropic zero modes: Dynamical systems observability
supersymmetry FRW barotropic cosmology
2010/9/15
The dynamical systems observability properties of barotropic bosonic and fermionic FRW cosmological oscillators are investigated. Nonlinear techniques for dynamical analysis have been recently develop...
We consider the dynamics of a two-dimensional map proposed by Maynard Smith as a population model. The existence of chaos in the sense of Marotto's theorem is first proved, and the bifurcations of per...
Global Attracting Behavior of Non-autonomous Stage-structured Population Dynamical System with Diffusion
nonautonomous stage structure dispersal
2007/12/10
A non-autonomous single species dispersal model is considered, in which individual member of the population has a life history that goes through two stages, immature and mature. By applying the theory...
Discrete Dynamical Systems on Graphs and Boolean Functions
Parallel dynamical system (PDS) sequential dynamical system (SDS) Garden of Eden (GOE) state space fixed point periodic point
2014/6/3
Discrete dynamical systems based on dependency graphs have played an important role in the mathematical theory of computer simulations. In this paper, we are concerned with parallel dynamical systems ...