Growth in complex exponential dynamics
نویسندگان
چکیده
Both the computer drawing of the complement of the Mandelbrot-like set of a one-parameter dependent complex exponential family of maps and the computer drawing of the Julia sets of the maps of this family, grow with the maximal number of iterations we choose. Some graphic examples of this growth, which evoke the image of a garden, are shown here.
منابع مشابه
Stochastic functional population dynamics with jumps
In this paper we use a class of stochastic functional Kolmogorov-type model with jumps to describe the evolutions of population dynamics. By constructing a special Lyapunov function, we show that the stochastic functional differential equation associated with our model admits a unique global solution in the positive orthant, and, by the exponential martingale inequality with jumps, we dis...
متن کاملAsynchronous Growth and Competition in a Two-sex Age-structured Population Model
Asynchronous exponential growth has been extensively studied in population dynamics. In this paper we find out the asymptotic behaviour in a non-linear age-dependent model which takes into account sexual reproduction interactions. The main feature of our model is that the non-linear process converges to a linear one as the solution becomes large, so that the population undergoes asynchronous gr...
متن کاملDynamics, Laplace Transform and Spectral Geometry∗
We consider a vector field X on a closed manifold which admits a Lyapunov one form. We assume X has Morse type zeros, satisfies the Morse– Smale transversality condition and has non-degenerate closed trajectories only. For a closed one form η, considered as flat connection on the trivial line bundle, the differential of the Morse complex formally associated to X and η is given by infinite serie...
متن کاملBacterial Associates Modify Growth Dynamics of the Dinoflagellate Gymnodinium catenatum
Marine phytoplankton cells grow in close association with a complex microbial associate community known to affect the growth, behavior, and physiology of the algal host. The relative scale and importance these effects compared to other major factors governing algal cell growth remain unclear. Using algal-bacteria co-culture models based on the toxic dinoflagellate Gymnodinium catenatum, we test...
متن کاملطراحی سیستم کنترل ABS با در نظر گرفتن کنترل حرکت کناری به روش ترکیبی PID و SMC
Control Systems such as Anti Lock Brake Systems (ABS) and Traction Control Systems (TCS) are vastly used in most vehicles as to enhance the safety of the systems. These systems have many virtues on controlling the dynamics of vehicles, but they only control the longitudinal dynamics of the vehicle directly and the lateral dynamics of vehicle is not controlled because they do not receive any fee...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید
ثبت ناماگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید
ورودعنوان ژورنال:
- Computers & Graphics
دوره 24 شماره
صفحات -
تاریخ انتشار 2000