How to avoid potential pitfalls in recurrence plot based data analysis

N Marwan - International Journal of Bifurcation and Chaos, 2011 - World Scientific
Recurrence plots and recurrence quantification analysis have become popular in the last
two decades. Recurrence based methods have on the one hand a deep foundation in the …

Synchronization transitions on small-world neuronal networks: Effects of information transmission delay and rewiring probability

Q Wang, Z Duan, M Perc, G Chen - Europhysics Letters, 2008 - iopscience.iop.org
Synchronization transitions are investigated in small-world neuronal networks that are
locally modeled by the Rulkov map with additive spatiotemporal noise. In particular, we …

Synchronization of delayed chaotic systems with parameter mismatches by using intermittent linear state feedback

T Huang, C Li, W Yu, G Chen - Nonlinearity, 2009 - iopscience.iop.org
This paper investigates the synchronization of coupled chaotic systems with time delay in
the presence of parameter mismatches by using intermittent linear state feedback control …

Anti-synchronization between identical and non-identical fractional-order chaotic systems using active control method

M Srivastava, SP Ansari, SK Agrawal, S Das… - Nonlinear …, 2014 - Springer
This article deals with the anti-synchronization between two identical chaotic fractional-order
Qi system, Genesio–Tesi system, and also between two different fractional-order Genesio …

Synchronization of chaotic systems with delay using intermittent linear state feedback

T Huang, C Li, X Liu - Chaos: An interdisciplinary journal of nonlinear …, 2008 - pubs.aip.org
This paper investigates the synchronization of coupled chaotic systems with time delay by
using intermittent linear state feedback control. An exponential synchronization criterion is …

Universal occurrence of the phase-flip bifurcation in time-delay coupled systems

A Prasad, SK Dana, R Karnatak, J Kurths… - … Journal of Nonlinear …, 2008 - pubs.aip.org
Recently, the phase-flip bifurcation has been described as a fundamental transition in time-
delay coupled, phase-synchronized nonlinear dynamical systems. The bifurcation is …

Time-delayed chaotic dynamical systems

D Biswas, T Banerjee - Cham: Springer Nature, 2018 - Springer
Time delays are omnipresent in nature. Delays arise in various natural and man-made
systems due to the finite speed of signal propagation, finite response time, and switching …

Vibrational resonance in a time-delayed genetic toggle switch

A Daza, A Wagemakers, S Rajasekar… - … in Nonlinear Science …, 2013 - Elsevier
Biological oscillators can respond in a surprising way when they are perturbed by two
external periodic forcing signals of very different frequencies. The response of the system to …

Amplitude death and synchronized states in nonlinear time-delay systems coupled through mean-field diffusion

T Banerjee, D Biswas - Chaos: An Interdisciplinary Journal of …, 2013 - pubs.aip.org
We explore and experimentally demonstrate the phenomena of amplitude death (AD) and
the corresponding transitions through synchronized states that lead to AD in coupled …

Generalized synchronization and control for incommensurate fractional unified chaotic system and applications in secure communication

H Liang, Z Wang, Z Yue, R Lu - Kybernetika, 2012 - eudml.org
Abstract top A fractional differential controller for incommensurate fractional unified chaotic
system is described and proved by using the Gershgorin circle theorem in this paper. Also …