Chaotic attractors in Atkinson–Allen model of four competing species

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Global attractors and extinction dynamics of cyclically competing species.

Transitions to absorbing states are of fundamental importance in nonequilibrium physics as well as ecology. In ecology, absorbing states correspond to the extinction of species. We here study the spatial population dynamics of three cyclically interacting species. The interaction scheme comprises both direct competition between species as in the cyclic Lotka-Volterra model, and separated select...

متن کامل

Chaotic Attractors in Crisis

In dissipative physical systems, such as occur in plasmas, fluids, acoustics, optical systems, solid-state devices, etc. , it is often observed that the system settles into a state of sustained "chaotic" or "turbulent" motion (cf. Refs. I and 2 for a partial listing of some recent relevant physical examples). Furthermore, this chaotic behavior is now understood to result from the presence of st...

متن کامل

Phase synchronization of chaotic attractors in the presence of two competing periodic signals.

We discuss the situation where two periodic signals compete to phase synchronize a chaotic attractor. Depending on the relative position of the periods with respect to the synchronization tongue for a single frequency signal, we distinguish several different cases. We find that, depending on parameters, it is possible that one or the other signal will entrain exclusively, or that they will entr...

متن کامل

Attractors: Nonstrange to Chaotic

The theory of chaotic dynamical systems can be a tricky area of study for a non-expert to break into. Because the theory is relatively recent, the new student finds himself immersed in a subject with very few clear and intuitive definitions. This paper aims to carve out a small section of the theory of chaotic dynamical systems – that of attractors – and outline its fundamental concepts from a ...

متن کامل

Chaotic attractors of relaxation oscillators

We develop a general technique for proving the existence of chaotic attractors for three-dimensional vector fields with two time scales. Our results connect two important areas of dynamical systems: the theory of chaotic attractors for discrete two-dimensional Henon-like maps and geometric singular perturbation theory. Two-dimensional Henon-like maps are diffeomorphisms that limit on non-invert...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Journal of Biological Dynamics

سال: 2020

ISSN: 1751-3758,1751-3766

DOI: 10.1080/17513758.2020.1779828