Chimera states in networks under external periodic perturbations

2020 ◽  
Vol 3 (1) ◽  
Author(s):  
C.A.S. BATISTA ◽  
R.L. VIANA ◽  
A.M. BATISTA
Keyword(s):  
Chimera States ◽  
Periodic Perturbations

scholarly journals Complexity and Chimera States in a Network of Fractional-Order Laser Systems

Symmetry ◽  
2021 ◽  
Vol 13 (2) ◽  
pp. 341
Author(s):  
Shaobo He ◽  
Hayder Natiq ◽  
Santo Banerjee ◽  
Kehui Sun
Keyword(s):  
Numerical Simulation ◽  
Numerical Solution ◽  
Bifurcation Diagram ◽  
Fractional Order ◽  
Dynamical Model ◽  
Chimera States ◽  
Laser Systems ◽  
Complexity Algorithm ◽  
Derivative Order

By applying the Adams-Bashforth-Moulton method (ABM), this paper explores the complexity and synchronization of a fractional-order laser dynamical model. The dynamics under the variance of derivative order q and parameters of the system have examined using the multiscale complexity algorithm and the bifurcation diagram. Numerical simulation outcomes demonstrate that the system generates chaos with the decreasing of q. Moreover, this paper designs the coupled fractional-order network of laser systems and subsequently obtains its numerical solution using ABM. These solutions have demonstrated chimera states of the proposed fractional-order laser network.

scholarly journals Emergence of chimera states in a neuronal model of delayed oscillators

2021 ◽  
Vol 3 (3) ◽  
Author(s):  
Alessandra Lucchetti ◽  
Mogens H. Jensen ◽  
Mathias L. Heltberg
Keyword(s):  
Neuronal Model ◽  
Chimera States

Multi-headed loop chimera states in coupled oscillators

2021 ◽  
Vol 31 (1) ◽  
pp. 013135
Author(s):  
Dawid Dudkowski ◽  
Krzysztof Czołczyński ◽  
Tomasz Kapitaniak
Keyword(s):  
Coupled Oscillators ◽  
Chimera States

scholarly journals On Periodic Perturbations of Asymmetric Duffing–Van-der-Pol Equation

2014 ◽  
Vol 24 (05) ◽  
pp. 1450061 ◽  
Author(s):  
Albert D. Morozov ◽  
Olga S. Kostromina
Keyword(s):  
Saddle Point ◽  
Limit Cycles ◽  
Small Neighborhood ◽  
Integrable Equation ◽  
Van Der Pol Equation ◽  
Van Der Pol ◽  
Periodic Perturbations ◽  
Autonomous Equation ◽  
Nonautonomous Equation ◽  
Time Periodic

Time-periodic perturbations of an asymmetric Duffing–Van-der-Pol equation close to an integrable equation with a homoclinic "figure-eight" of a saddle are considered. The behavior of solutions outside the neighborhood of "figure-eight" is studied analytically. The problem of limit cycles for an autonomous equation is solved and resonance zones for a nonautonomous equation are analyzed. The behavior of the separatrices of a fixed saddle point of the Poincaré map in the small neighborhood of the unperturbed "figure-eight" is ascertained. The results obtained are illustrated by numerical computations.

scholarly journals Chimera states on the surface of a sphere

2015 ◽  
Vol 91 (2) ◽  
Author(s):  
Mark J. Panaggio ◽  
Daniel M. Abrams
Keyword(s):  
Chimera States
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