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IJBC
2010
70views more  IJBC 2010»
13 years 7 months ago
On the Statistical Distribution of First-Return Times of Balls and Cylinders in Chaotic Systems
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...
G. Mantica, S. Vaienti
IJBC
2010
77views more  IJBC 2010»
13 years 4 months ago
Starting homoclinic Tangencies Near 1 : 1 resonances
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 ...
Joseph Páez Chávez
IJBC
2010
84views more  IJBC 2010»
13 years 7 months ago
Asymptotic Values, Prepoles, and Periodic Points
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...
Jared Whitehead, Lennard Bakker
IJBC
2010
76views more  IJBC 2010»
13 years 7 months ago
Generating 3-scroll attractors from One Chua Circuit
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...
Zeraoulia Elhadj, Julien Clinton Sprott
IJBC
2010
77views more  IJBC 2010»
13 years 4 months ago
Spatio-Temporal Chaos in a Discrete Turing Model
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...
Hunseok Kang