No abstract available.
A Common Fixed Point Theorem in Intuitionistic Fuzzy Metric Spaces
In this paper, the authors get a common fixed point theorem for a sequence of mappings admitting intuitionistic fuzzy contractive conditions defined on intuitionistic fuzzy metric spaces.
Optimal Wavelet Solutions for Ill-posed Elliptic Equations
In this paper, a Cauchy problem for two-dimensional Lap lace equation in the strip $0 \leq x \leq 1$ is considered. This is a classical severely ill-posed problem. Connecting Shannon wavelet bases with a spectral integral of the Hermitian operator, we ...
Regularized Wavelet Solutions for Ill-posed Nonhomogeneous Parabolic Equations
We consider the nonhomogeneous problem $u_{xx}(x, t)=u_{t}(x, t)+ f(x, t), 0 \leq x0, where the Cauchy dta g(t) is given at x = 1. This is an ill-posed problem in the sense that a small disturbance on the boundary g(t) can produce a big alteration on ...
Complexity of a Kind of Special Shift Map
In this paper, we introduce the delayed shift on a one-sided symbolic space (with two symbols) and prove that the delayed shift has some complex dynamical properties. In addition, through the method of construction, we prove that there exists an ...
Estimations of Bounds for the Laser-Plasma Interaction System
To estimate the ultimate bound and positively invariant set of a dynamic system is an important but quite challenging task. This paper is concerned with the ultimate bounds and positively invariant sets for a system describing the laser-plasma ...
Attractiveness of Invariant Manifolds of Two Dimensional Dynamical Systems
In this paper an operable, universal and simple theory on the attractiveness of the invariant manifolds of the two-dimensional dynamical systems is first obtained. It is motivated by the Lyapunovdirect method. It means that for any point $\...
Estimations of Ultimate Bounds for the PRT System and Its Application in Chaos Synchronization
This paper is concerned with the ultimate bounds and positively invariant sets for a system describing the amplitude of a plasma instability proposed by Pikovski, Rabinovich and Trakhtengerts. Based on generalized positive definite and radially unbound ...
On a New Three-dimensional Chaotic System with Only One Equilibrium Based on a Series Memristive Circuit
This paper introduces several basic principles of chaos generated by memristive circuits in accordance with the characteristic of memristor, and a new three-dimensional chaotic system with only one equilibrium are further proposed based on a series ...
A New Chaotic System Based on Delayed Feedback Control Method
With the further research of nonlinear systems, we have discovered that many practical physical circuits contain chaotic phenomenon. At the same time, a number of control schemes can be used to controlled chaotic system, such as control by Ott-Grebogi-...
Hyperspace System Induced by a Class of Non-primitive Substitutions
This paper considers the sub shifts induced by a class of non-primitive constant-length substitutions on two symbols. The authors give a sufficient condition for hyperspace system induced by such a sub shift to be Li-Yorke chaotic. Furthermore, the ...
Stability and Hopf Bifurcation Analysis of Genesio System with Distributed Delays Feedback
In this paper, the Genesio system with distributed time delay feedback is studied. Its linear stability is investigated based on the Routh-Hurwitz criteria. After the local asymptotic stability is analyzed, Hopf bifurcation is demonstrated by choosing ...
Stability and Hopf Bifurcation Analysis on a Partial Dependent Predator-prey System with Discrete and Distributed Delays
In this paper, a partial dependent prey-predator model with discrete and distributed delays is studied by using the theory of functional differential equation and Hassard's method, the conditions on which positive equilibrium exists and Hopf bifurcation ...
The Dynamical Behavior and the Numerical Simulation of a Seven-Modes System of the Navier-Stokes Equations for a Two-Dimensional Incompressible Fluid on a Torus
A seven-mode truncation system of the Navier-Stokes equations for a two-dimensional incompressible fluid on a torus is considered. Its stationary solutions and stability are presented, the existence of attractor and the global stability of the system ...
The Numerical Simulation of the Evolution of the Amplitude of Solitary Rossby Waves Induced by Nonlinear Effect of β and Nonlinear Effect of Topography
In this paper, upon the nonlinear Korteweg-de Vries(KdV) equation, controlling the amplitude of nonlinear Ross by waves, which was induced by nonlinear effect of and nonlinear effect of topography, the numerical solution was gotten using the numerical ...
Chaotic Behavior in a Delay Difference Equation
This paper is concerned with chaos in a delay difference equation. The map of the system is proved to be chaotic in the sense of both Devaney and Li-Yorke under some conditions, by employing the snap-back repeller theory. Some computer simulations are ...
A New Property of Logistic Map with Scalable Precision
In this paper, iteration method of logistic map with low positions is introduced in order to investigate property of logistic map. Basic structure of logistic map is proposed, which consists of common gene positions (CGPs) and individual gene positions (...
Positive Solutions for Some Three-point Boundary Value Problems
In this paper, an existence result of positive solutions for some three-point boundary value problems is obtained by using Leray-Schauder nonlinear alternative.
Numerical Simulation of Limit Cycles for Two Differential Polynomial Systems
Bifurcation of limit cycles for two differential polynomial systems is investigated using both qualitative analysis and numerical exploration. The investigation is based on detection functions which are particularly effective for the differential ...
Complex Dynamics of a New Chaotic System without Equilibria
A new three-dimensional continuous quadratic autonomous chaotic system with no equilibria is discussed. Basic properties of the new system are analyzed by means of Lyapunov exponent spectrum, Poincaré mapping, fractal dimension, Analysis results show ...
Index Terms
- Proceedings of the 2012 Fifth International Workshop on Chaos-fractals Theories and Applications