In this work, an analytical and numerical analysis of the transition to chaos in five nonlinear systems ordinary partial differential equations, which are models autocatalytic chemical processes interacting populations, is carried out. It shown analytically numerically that all considered further complication dynamics solutions biological turbulence out full accordance with universal Feigenbaum...

G.Geetha Professor and Head, Division of Research and Development Lovely Professional University, Phagwara, India [email protected] Abstract We propose the fractal generation method to generate the different types of fractals using chaos theory. The fractals are generated by Iterated Function System (IFS) technique. The chaos theory is an unpredictable behavior arises in the dynamical system...

In this paper, we propose an improved quantum-behaved particle swarm optimization (QPSO), introducing chaos theory into QPSO and exerting logistic map to every particle position X(t) at a certain probability. In this improved QPSO, the logistic map is used to generate a set of chaotic offsets and produce multiple positions around X(t). According to their fitness, the particle's position is upda...

The Hodgkin-Huxley model describes action potential generation in certain types of neurons and is a standard model for conductance-based, excitable cells. Following the early work of Winfree and Best, this paper explores the response of a spontaneously spiking Hodgkin-Huxley neuron model to a periodic pulsatile drive. The response as a function of drive period and amplitude is systematically ch...