Results 191 to 200 of about 10,420 (254)

BIFURCATION AND CHAOS IN THE TINKERBELL MAP

International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, 2011
In this paper, the dynamical behaviors of the Tinkerbell map are investigated in detail. Conditions for the existence of fold bifurcation, flip bifurcation and Hopf bifurcation are derived, and chaos in the sense of Marotto is verified by both analytical and numerical methods.
Zhujun Jing
exaly   +4 more sources

Bifurcations and chaos in Hořava–Lifshitz cosmology

Advances in Theoretical and Mathematical Physics, 2022
93 Pages, 21 ...
Hell, Juliette   +2 more
openaire   +2 more sources

BIFURCATION TO HIGH-DIMENSIONAL CHAOS

International Journal of Bifurcation and Chaos, 2000
High-dimensional chaos has been an area of growing recent investigation. The questions of how dynamical systems become high-dimensionally chaotic with multiple positive Lyapunov exponents, and what the characteristic features associated with the transition are, remain less investigated.
Mary Ann F. Harrison, Ying-Cheng Lai
openaire   +2 more sources

BIFURCATIONS AND CHAOS IN HAMILTONIAN SYSTEMS

International Journal of Bifurcation and Chaos, 2010
This paper deals with the use of recent computational techniques in the numerical study of qualitative properties of two degrees of freedom of Hamiltonian systems. These numerical methods are based on the computation of the OFLI2 Chaos Indicator, the Crash Test and exit basins and the skeleton of symmetric periodic orbits.
Roberto Barrio   +2 more
openaire   +3 more sources

Bifurcation and chaos of Chen's equation

2000 IEEE International Symposium on Circuits and Systems. Emerging Technologies for the 21st Century. Proceedings (IEEE Cat No.00CH36353), 2002
Anti-control of chaos, making a non-chaotic system chaotic, has led to the discovery of some new chaotic systems, particularly the continuous-time three-dimensional autonomous Chen's equation with only two quadratic terms. This paper further investigates some basic dynamical properties and various bifurcations of Chen's equation, thereby revealing its ...
Tetsushi Ueta, Guanrong Chen
openaire   +2 more sources

Bifurcations and Chaos in Duffing Equation

Acta Mathematicae Applicatae Sinica, English Series, 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhang, Meng, Yang, Jiangping
openaire   +2 more sources

Bifurcation and Chaos

2022
Abstract We show how bifurcation leads to an end of determinism and thus eventually to chaos. Such models were originally introduced in population studies, and they show how deterministic equations can lead to chaotic behavior. A similar type of behavior was obtained earlier by Fibonacci, whose number sequence led to the golden rule ...
openaire   +1 more source

Bifurcation and Chaos in the Logistic Map with Memory

International Journal of Bifurcation and Chaos, 2017
We describe the dynamics of the logistic map [Formula: see text] endowed with memory [Formula: see text] of past iterations with geometric decay. We find that most of the relevant properties of the dynamics can be explained by means of a scaling of the standard logistic map without memory.
Ramón Alonso-Sanz   +2 more
openaire   +2 more sources

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