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The non-local Fisher-KPP equation:traveling waves and steady states
non-local Fisher-KPP equation traveling waves steady states
2015/7/14
We consider the Fisher-KPP equation with a nonlocal saturation effect defined through an interaction kernel φ(x) and investigate the possible differences with the standard Fisher-KPP equation. Our fir...
On the nonlocal Fisher-KPP equation:steady states,spreading speed and global bounds
nonlocal Fisher-KPP equation steady states spreading speed global bounds
2015/7/14
We consider the Fisher-KPP equation with a non-local interaction term. We establish a condition on the interaction that allows for existence of non-constant periodic solutions,and prove uniform upper ...
The dependence on the initial states and the transitivity of the regular autonomous asynchronous systems
asynchronous system dependence on the initial states transitivity
2011/3/4
The asynchronous systems are non-deterministic real time, binary valued models of the asynchronous circuits from electronics.
Doorway States and Billiards
States Billiards
2010/11/10
Whenever a distinct state is immersed in a sea of complicated and dense states, the strength of the distinct state, which we refer to as a doorway, is distributed in their neighboring states. We analy...
Divergences in the 2-qubits' space: Werner and Thermal states
Jensen-Shannono divergence Heisenberg model
2010/9/13
We revisit the notion of using divergences, or relative-entropies, as measures of the distance between two mixed states, with special emphasis on power-law entropies. We analyze the Csisz´ar and...
On the tolerable perturbed initial states: Discrete systems
Asymptotic stability continuous systems
2010/9/10
Consider the output signal y(i) = Cx(i) of a linear discrete system described by x(i+1) = Ax(i) where x(0) = x0. Given a tolerance index ρ, we say that a perturbation ω is ρ-tolerable if yω(i)−...
Chaos and optimal control of steady-states of tumor with drug
Limit cycles Chaotic behavior Attractors
2010/9/13
This paper is devoted to study the problems of chaos and optimal control of tumor system with drug. The stability analysis of the biologically feasible steady states is presented using a local stabili...
Exponential stabilizability of linear systems with multiple delays on states and controls
Exponential stabilizability Multiple delays
2010/9/17
Exponential stabilizability of linear control systems with multiple delays on states and controls is studied in this paper. Based on the Lyapunov method, we establish new criteria that ensure the expo...
Steady-states of nonlinear oscillators based on homotopic process with generalized inverses
steady-state response nonlinear oscillator Newton iteration
2010/9/16
For autonomous oscillators, we propose an algorithm to compute their steady-state responses by homotopic process with generalized inverses.In the Newton iterations of the process the computing procedu...
Positive Steady States of a Competitor-Competitor-Mutualist Model
Positive steady states Competitor-Competitor-Mutualist model
2007/12/11
In this paper we deal with the positive steady states ofa Competitor-Competitor-Mutualist model with diffusion andhomogeneous Dirichlet boundary conditions. We first give thenecessary conditions, and ...
The Interaction of Dirac Particles with Non-Abelian Gauge Fields and Gravity - Bound States
Dirac Particles Non-Abelian Gauge Fields Gravity - Bound States
2010/11/2
We consider a spherically symmetric, static system of a Dirac particle interacting with classical gravity and an SU(2) Yang-Mills field. The corresponding Einstein-Dirac-Yang/Mills equations are deriv...