We study returns in dynamical systems: when a set of points, initially populating a prescribed region, swarms around phase space according to a deterministic rule of motion, we sa...
We construct a theory-based numerical method for starting the continuation of homoclinic tangencies near 1 : 1 resonances, for systems with arbitrary dimension 2. The core of the ...
Curves of parameter values for which an asymptotic value of F,(z) = 1 + e-z lies on a pre-pole of arbitrary order are found through an iterative method. Some of these curves are sh...
This paper reports the finding of a 3-scroll chaotic attractor with only three equilibria obtained via direct modification of Chua's circuit. In addition, it is shown numeric...
In this paper, a discrete version of a reaction-diffusion equation, also known as coupled map lattice (CML), which corresponds to the Turing model of morphogenesis is studied. It i...