Inherent multistability in arrays of autoinducer coupled genetic oscillators

A Koseska, E Volkov, A Zaikin, J Kurths - Physical Review E—Statistical …, 2007 - APS
Rhythm generation mechanisms are very important for genetic network functions as well as
for the design of synthetic genetic circuits. A significant attention to date has been focused …

Emergent oscillations in unidirectionally coupled overdamped bistable systems

AR Bulsara, V In, A Kho, P Longhini, A Palacios… - Physical Review E …, 2004 - APS
It is well known that overdamped unforced dynamical systems do not oscillate. However,
well-designed coupling schemes, together with the appropriate choice of initial conditions …

Experimental evidence for vibrational resonance and enhanced signal transmission in Chua's circuit

R Jothimurugan, K Thamilmaran… - … Journal of Bifurcation …, 2013 - World Scientific
We consider a single Chua's circuit and a system of a unidirectionally coupled n-Chua's
circuits driven by a biharmonic signal with two widely different frequencies ω and Ω, where …

Pattern formation in a four-ring reaction-diffusion network with heterogeneity

I Hunter, MM Norton, B Chen, C Simonetti… - Physical Review E, 2022 - APS
In networks of nonlinear oscillators, symmetries place hard constraints on the system that
can be exploited to predict universal dynamical features and steady states, providing a rare …

Disorder-Induced Dynamics in Complex Networks

A Palacios, V In, M Amani - International Journal of Bifurcation and …, 2024 - World Scientific
Disorder in parameters appears to influence the collective behavior of complex adaptive
networks in ways that might seem unconventional. For instance, heterogeneities may …

Complex behavior in driven unidirectionally coupled overdamped duffing elements

V In, A Palacios, AR Bulsara, P Longhini, A Kho… - Physical Review E …, 2006 - APS
It is well known that overdamped unforced dynamical systems do not oscillate. However,
well-designed coupling schemes, together with the appropriate choice of initial conditions …

Vibrational resonance in the Morse oscillator

K Abirami, S Rajasekar, MAF Sanjuan - Pramana, 2013 - Springer
The occurrence of vibrational resonance is investigated in both classical and quantum
mechanical Morse oscillators driven by a biharmonic force. The biharmonic force consists of …

Noise and Parameter Mismatch in a Ring Network for Sensing Extremely Low Electric Fields

A Palacios, J Tamez, M Amani, V In - International Journal of …, 2024 - World Scientific
Over the past years, we have exploited the bistability features that are commonly found in
many individual sensors to develop a network-based [,;,;,;,;,;,;,;,] approach to modeling …

Complex dynamics in unidirectionally coupled overdamped bistable systems subject to a time-periodic external signal

V In, AR Bulsara, A Palacios, P Longhini, A Kho - Physical Review E …, 2005 - APS
Recently, we have studied the emergence of oscillatory behavior in overdamped undriven
nonlinear dynamic systems subject to carefully crafted coupling schemes and operating …

Multifrequency synthesis using two coupled nonlinear oscillator arrays

A Palacios, R Carretero-González, P Longhini… - Physical Review E …, 2005 - APS
We illustrate a scheme that exploits the theory of symmetry-breaking bifurcations for
generating a spatio-temporal pattern in which one of two interconnected arrays, each with N …