The smart OGY control method is proposed for two-link rigid robot arm. For this goal the Bifurcation diagram should be applied for acceptable wide range of the input amplitude. Then by using the robot arm in a chaotic amplitude range and Poincare section, the UPO's will be found. After that, the OGY rules are defined for each UPO's and the maximum changed value of amplitude for each UPO's, whic...

Theorem 1. Let X be a Poincare pair of dimension n ≥ 5, ζ a stable PL bundle on X, and f : M → X a degree one normal map, where M is a PL manifold. Let σ f ∈ Ω∞Lvq(X, ζX) be the relative signature of f , and suppose we are given a path p from σ f to the base point of Ω ∞Lvq(X, ζX). (We can identify such a path with a Lagrangian in the Poincare object representing σ f , which is well-defined up ...

Advanced visual tools are useful to provide additional information for modern information warfare. 2D spatial distributions of random sequences play an important role to understand properties of complex sequences. This paper proposes time-sequences from a given logical function of 1D Cellular Automata in both Poincare map and conjugate map. Multiple measure sequences of Markov chains can be use...

Poincare plots are commonly used to study nonlinear behaviour of physiologic signals. Analysis of Poincare plots for various lags can provide interesting insights into the autonomic control of the heart. Furthermore, the width of Poincare plots can be considered as a criterion of short-term variability in heart rate signals. The hypothesis that Poincare plot indexes of heart rate variability (H...

How does a fractal basin boundary arise in the sinusoidally forced Duffing’s equation? We describe how the backwards system flow deforms a local stable manifold into the fractal boundary. Parts of the boundary are labeled in a way related to their time of formation. The truncated fractal boundary produced by a burst of sinusoidal forcing is briefly considered. The approach supplements the insig...

We present a method for constructing a partition of an incomplete horseshoe in a Poincare map. The partition is based only on the unstable manifolds of the outermost fixed points and eventually their limits. Consequently, this partition becomes natural from the point of view of asymptotic scattering observations. The symbolic dynamics derived from this partition coincides with the one derived f...

The control method of Ott, Grebogi, and Yorke (OGY) is used to stabilize the unstable periodic orbits of a chaotic relay system. Small variations in the height of the relay output are used as control input. The influence of the control activation bound is studied in detail via the one-dimensional Poincare map of the controlled system. The reduced sensitivity of the multi-step OGY method for hig...

The dynamical behavior of an SIS epidemic model with birth pulses and pulse treatments at different moments is discussed by means of both theoretical and numerical ways. Birth pulse, vertical transmission, and pulse treatment are considered in building model. The existence and stability of the trivial solution, infection-free periodic solution, and epidemic periodic solutions are investigated. ...

Using the results of this paper one can compute the symmetric signature o(Sn/G) c Ln(~G) for any free action of a finite group G on S n . The symmetric signature appears in Ranicki's product formula for surgery obstructions. However, algebraic quadratic surgery shows that the product formula depends only on the chain level Poincare duality map (depending on A 0 defined below) and not on the hig...

This paper presents the effect of preload on nonlinear dynamic behavior of a rigid rotor supported by two-lobe aerodynamic noncircular journal bearing. A finite element method is employed to solve the Reynolds equation in static and dynamical states and the dynamical equations are solved using Runge-Kutta method. To analyze the behavior of the rotor center in the horizontal and vertical directi...