Results 241 to 250 of about 8,335,626 (297)

Effects of symmetric and asymmetric nonlinearity on the dynamics of a novel chaotic jerk circuit: Coexisting multiple attractors, period doubling reversals, crisis, and offset boosting

Chaos, Solitons & Fractals, 2019
A novel self-driven RC chaotic jerk circuit with the singular feature of having a smoothly adjustable nonlinearity and symmetry is proposed and investigated.
J. Kengne, R. L. T. Mogue, T. Fozin, Adelaide Nicole Kengnou Telem   +3 more
semanticscholar   +1 more source

Multidimensional period doubling structures

Acta Crystallographica Section A Foundations and Advances, 2016
This paper develops the formalism necessary to generalize the period doubling sequence to arbitrary dimension by straightforward extension of the substitution and recursion rules. It is shown that the period doubling structures of arbitrary dimension are pure point diffractive. The symmetries of the structures are pointed out.
Jeong Yup, Lee, Dvir, Flom, Shelomo I, Ben-Abraham   +2 more
openaire   +2 more sources

Chaotic period-doubling and OGY control for the forced Duffing equation

Communications in Nonlinear Science and Numerical Simulation, 2012
M. Akhmet, M. O. Fen
semanticscholar   +3 more sources

Predicting tipping points of dynamical systems during a period-doubling route to chaos.

Chaos, 2018
Classical indicators of tipping points have limitations when they are applied to an ecological and a biological model. For example, they cannot correctly predict tipping points during a period-doubling route to chaos.
F. Nazarimehr, S. Jafari, S. M. R. Hashemi Golpayegani, M. Perc, J. Sprott   +4 more
semanticscholar   +1 more source

Border-collision period-doubling scenario

Physical Review E, 2004
Using a one-dimensional dynamical system, representing a Poincaré return map for dynamical systems of the Lorenz type, we investigate the border-collision period-doubling bifurcation scenario. In contrast to the classical period-doubling scenario, this scenario is formed by a sequence of pairs of bifurcations, whereby each pair consists of a border ...
Avrutin, V., Schanz, M.
openaire   +3 more sources

Period doubling in coupled maps

Physical Review E, 1993
Using a renormalization method, we study the critical behavior of period doubling in two coupled one-dimensional (1D) maps. We find three kinds of fixed maps of the period-doubling renormalization operator. Each of the fixed maps has a common relevant eigenvalue associated with scaling of the nonlinearity parameter of the uncoupled 1D map. However, the
, Kim, , Kook
openaire   +2 more sources

Diffusion-driven period-doubling bifurcations

Biosystems, 1989
Discrete-time growth-dispersal models readily exhibit diffusive instability. In some instances, this diffusive instability parallels that found in continuous-time reaction-diffusion equations. However, if a sufficiently eruptive prey is held in check by a predator, predator overdispersal may also lead to one or a series of diffusion-driven period ...
openaire   +2 more sources

Period doubling in a periodically forced Belousov-Zhabotinsky reaction

Physical Review E, 2007
Using an open-flow reactor periodically perturbed with light, we observe subharmonic frequency locking of the oscillatory Belousov-Zhabotinsky chemical reaction at one-sixth the forcing frequency (6:1) over a region of the parameter space of forcing intensity and forcing frequency where the Farey sequence dictates we should observe one-third the ...
Bradley, Marts, David J W, Simpson, Aric, Hagberg, Anna L, Lin   +3 more
openaire   +2 more sources

Periodic perturbation on a period-doubling system

Physical Review A, 1983
The effect of a periodic perturbation on a nonlinear dynamic system undergoing a sequence of period doublings is investigated. The results obtained from linear response theory and from numerical calculations resemble the observations made by Giglio et al. on Rayleigh-Benard convection.
openaire   +1 more source

Period Doubling with Higher-Order Degeneracies

SIAM Journal on Mathematical Analysis, 1991
The authors consider a family of local diffeomorphisms \(G(x,\mu)\), \(G(x_ 0,\mu_ 0)=x_ 0\), where i) \(G: U\to\mathbb{R}^ n\), \(U\) is a neighbourhood of \((x_ 0,\mu_ 0)\) in \(\mathbb{R}^ n\times\mathbb{R}^ k\); ii) \(D_ x(x_ 0,\mu_ 0)\) has a single eigenvalue of \(-1\) and no other eigenvalues on the unit circle; iii) on its one-dimensional ...
Peckham, Bruce B., Kevrekidis, Ioannis G.   +1 more
openaire   +2 more sources