381 citations · 1.3k across the 36 of their papers we have counts for
14 papers · 1 filter
Phase-locking in -partite networks of delay-coupled oscillators
Joydeep Singha, Ramakrishna Ramaswamy
We examine the dynamics of an ensemble of phase oscillators that are divided in sets, with time-delayed coupling interactions {\em only} between oscillators in different sets o…
A higher-dimensional generalization of the Lozi map: Bifurcations and dynamics
Shakir Bilal, Ramakrishna Ramaswamy
We generalize the two dimensional Lozi map in order to systematically obtain piece-wise continuous maps in three and higher dimensions. Similar to higher-dimensional generalization…
Amplitude Death: The cessation of oscillations in coupled nonlinear dynamical systems
Garima Saxena, Nirmal Punetha, Awadhesh Prasad +1
Here we extend a recent review (Physics Reports {\bf 521}, 205 (2012)) of amplitude death, namely the suppression of oscillations due to the coupling interactions between nonlinear…
Amplitude death phenomena in delay--coupled Hamiltonian systems
Garima Saxena, Awadhesh Prasad, Ram Ramaswamy
Hamiltonian systems, when coupled {\it via} time--delayed interactions, do not remain conservative. In the uncoupled system, the motion can typically be periodic, quasiperiodic or…
Driving--induced bistability in coupled chaotic attractors
Manish Agrawal, Awadhesh Prasad, Ram Ramaswamy
We examine the effects of symmetry--preserving and breaking interactions in a drive--response system where the response has an invariant symmetry in the absence of the drive. Subse…
Amplitude Death: The emergence of stationarity in coupled nonlinear systems
Garima Saxena, Awadhesh Prasad, Ram Ramaswamy
When nonlinear dynamical systems are coupled, depending on the intrinsic dynamics and the manner in which the coupling is organized, a host of novel phenomena can arise. In this co…
Relaying phase synchrony in chaotic oscillator chains
Manish Agrawal, Awadhesh Prasad, Ram Ramaswamy
We study the manner in which the effect of an external drive is transmitted through mutually coupled response systems by examining the phase synchrony between the drive and the res…
Design strategies for the creation of aperiodic nonchaotic attractors
Amitabha Nandi, Sourav K. Bhowmick, Syamal K. Dana +1
Parametric modulation in nonlinear dynamical systems can give rise to attractors on which the dynamics is aperiodic and nonchaotic, namely with largest Lyapunov exponent being nonp…
Strange nonchaotic attractors in driven delay--dynamics
Awadhesh Prasad, Manish Agrawal, Ramakrishna Ramaswamy
Strange nonchaotic attractors (SNAs) are observed in quasiperiodically driven time--delay systems. Since the largest Lyapunov exponent is nonpositive, trajectories in two such iden…
Dynamics of the Harper map: Localized states, Cantor spectra and Strange nonchaotic attractors
Surendra Singh Negi, Ramakrishna Ramaswamy
The Harper (or ``almost Mathieu'') equation plays an important role in studies of localization. Through a simple transformation, this equation can be converted into an iterative tw…
Strange Nonchaotic Attractors
Awadhesh Prasad, Surendra Singh Negi, Ramakrishna Ramaswamy
Aperiodic dynamics which is nonchaotic is realized on Strange Nonchaotic attractors (SNAs). Such attractors are generic in quasiperiodically driven nonlinear systems, and like stra…
Bifurcations and transitions in the quasiperiodically driven logistic map
Surendra Singh Negi, Awadhesh Prasad, Ramakrishna Ramaswamy
We discuss several bifurcation phenomena that occur in the quasiperiodically driven logistic map. This system can have strange nonchaotic attractors (SNAs) in addition to chaotic a…
A Plethora of Strange Nonchaotic Attractors
Surendra Singh Negi, Ramakrishna Ramaswamy
We show that it is possible to devise a large class of skew--product dynamical systems which have strange nonchaotic attractors (SNAs): the dynamics is asymptotically on fractal at…
Critical Localization and Strange Nonchaotic Dynamics: The Fibonacci Chain
Surendra Singh Negi, Ramakrishna Ramaswamy
The discrete Schrödinger equation with a quasiperiodic dichotomous potential specified by the Fibonacci sequence is known to have a singular continuous eigenvalue spectrum with all…