Analytical study and experimental confirmation of SNA through Poincare maps in a quasiperiodically forced electronic circuit

A Arulgnanam, A Prasad, K Thamilmaran… - International Journal of …, 2015 - World Scientific
Quasiperiodically forced series LCR circuit with simple nonlinear element is studied
analytically and experimentally. To the best of our knowledge, this is the first time that …

Distinguishing dynamics using recurrence-time statistics

EJ Ngamga, DV Senthilkumar, A Prasad… - Physical Review E …, 2012 - APS
The probability densities of the mean recurrence time, which is the average time needed for
a system to recur to a previously visited neighborhood, are investigated in various dynamical …

[PDF][PDF] Analytical study of an MLC circuit with quasiperiodic forcing

G Sivaganesh - Chinese Journal of Physics, 2014 - academia.edu
Strange nonchaotic attractors (SNA) are regarded as structures in between regularity and
chaos. They are geometrically strange as evidenced by their fractal structure, which is …

Strange non-chaotic attractors in a state controlled-cellular neural network-based quasiperiodically forced MLC circuit

PM Ezhilarasu, M Inbavalli, K Murali, K Thamilmaran - Pramana, 2018 - Springer
In this paper, we report the dynamical transitions to strange non-chaotic attractors in a
quasiperiodically forced state controlled-cellular neural network (SC-CNN)-based MLC …

An analytical study on the synchronization of strange non-chaotic attractors

G Sivaganesh, A Arulgnanam - Journal of the Korean Physical Society, 2016 - Springer
In this paper, we present an analytical study on the synchronization dynamics observed in
unidirectionally-coupled quasiperiodically-forced systems that exhibit strange non-chaotic …

Synchronization of strange non-chaotic attractors via unidirectional coupling of quasiperiodically-forced systems

G Sivaganesh, M Daniel Sweetlin… - Journal of the Korean …, 2016 - Springer
In this paper, we present a numerical investigation on the robust synchronization
phenomenon observed in a unidirectionally-coupled quasiperiodically-forced simple …

On synchronization and communication of the robust systems

DO Lubchenko, OB Isaeva - 2023 7th Scientific School …, 2023 - ieeexplore.ieee.org
In this article we study the possibility of achieving synchronization and the communication in
the robust systems which are unidirictionally coupled Kuznetsov generators of hyperbolic …

Significance of power average of sinusoidal and non-sinusoidal periodic excitations in nonlinear non-autonomous system

PR Venkatesh, A Venkatesan - Pramana, 2016 - Springer
Additional sinusoidal and different non-sinusoidal periodic perturbations applied to the
periodically forced nonlinear oscillators decide the maintainance or inhibitance of chaos. It is …

Nonlinear dynamics of a class of piecewise linear systems

M Lakshmanan, K Murali - Chaos, CNN, Memristors and Beyond: A …, 2013 - World Scientific
Piecewise linear dynamical systems constitute an interesting class of nonlinear dynamical
systems exhibiting many kinds of bifurcations and chaos, synchronizations and …

Observation of strange nonchaotic dynamics in the frame of state-controlled cellular neural network-based oscillator

P Megavarna Ezhilarasu… - Journal of …, 2019 - asmedigitalcollection.asme.org
In this paper, the strange nonchaotic dynamics of a quasi-periodically driven state-controlled
cellular neural network (SC-CNN) based on a simple chaotic circuit is investigated using …