102 citations · 639 across the 23 of their papers we have counts for
23 papers
Opinion-Driven Vaccination and Epidemic Dynamics on Heterogeneous Networks
Anika Roy, Ujjwal Shekhar, Subrata Ghosh +2
Vaccination campaigns play a pivotal role in controlling infectious diseases. Their success, however, depends not only on vaccine efficacy and availability but also significantly o…
Higher order interactions in Kuramoto oscillators with inertia
Patrycja Jaros, Subrata Ghosh, Dawid Dudkowski +2
How higher-order interactions influence the dynamics of second order phase oscillators? We address this question using three coupled Kuramoto phase oscillators with inertia under b…
Extreme events in a complex network: interplay between degree distribution and repulsive interaction
Arnob Ray, Timo Bröhl, Arindam Mishra +5
The role of topological heterogeneity in the origin of extreme events in a network is investigated here. The dynamics of the oscillators associated with the nodes are assumed to be…
Transition to hyperchaos: Sudden expansion of attractor and intermittent large-amplitude events in dynamical systems
S. Leo Kingston, Tomasz Kapitaniak, Syamal K. Dana
Hyperchaos is distinguished from chaos by the presence of at least two positive Lyapunov exponents instead of just one in dynamical systems. A general scenario is presented here th…
Transition to hyperchaos and rare large-intensity pulses in Zeeman laser
S. Leo Kingston, Marek Balcerzak, Syamal K. Dana +1
A discontinuous transition to hyperchaos is observed at discrete critical parameters in the Zeeman laser model for three well known nonlinear sources of instabilities, namely, quas…
Instabilities in quasiperiodic motion lead to intermittent large-intensity events in Zeeman laser
S. Leo Kingston, Arindam Mishra, Marek Balcerzak +2
We report intermittent large-intensity pulses that originate in Zeeman laser due to instabilities in quasiperiodic motion, one route follows torus-doubling to chaos and another goe…
A novel, Fourier series based method of control optimization and its application to a discontinuous capsule drive model
Sandra Zarychta, Tomasz Sagan, Marek Balcerzak +3
This paper presents a novel, Fourier series based numerical method of open-loop control optimization. Due to its flexible assumptions, it can be applied in a large variety of syste…
Chimera states for directed networks
Patrycja Jaros, Roman Levchenko, Tomasz Kapitaniak +1
We demonstrate that chimera behavior can be observed in ensembles of phase oscillators with unidirectional coupling. For a small network consisting of only three identical oscillat…
Minimal Chimera States in Phase-Lag Coupled Mechanical Oscillators
Pezhman Ebrahimzadeh, Michael Schiek, Patrycja Jaros +3
We obtain experimental chimera states in the minimal network of three identical mechanical oscillators (metronomes), by introducing phase-lagged all-to-all coupling. For this, we h…
Routes to extreme events in dynamical systems: Dynamical and Statistical Characteristics
Arindam Mishra, S. Leo Kingston, Chittaranjan Hens +3
Intermittent large amplitude events are seen in the temporal evolution of a state variable of many dynamical systems. Such intermittent large events suddenly start appearing in dyn…
Extreme events in a network of heterogeneous Josephson junctions
Arnob Ray, Arindam Mishra, Dibakar Ghosh +3
We report rare and recurrent large spiking events in a heterogeneous network of superconducting Josephson junctions (JJ) connected through a resistive load and driven by a radio-fr…
Network-induced multistability: Lossy coupling and exotic solitary states
Frank Hellmann, Paul Schultz, Patrycja Jaros +4
The stability of synchronised networked systems is a multi-faceted challenge for many natural and technological fields, from cardiac and neuronal tissue pacemakers to power grids.…
Solitary states for coupled oscillators
Patrycja Jaros, Serhiy Brezetsky, Roman Levchenko +3
We demonstrate that solitary states can be widely observed for networks of coupled oscillators with local, non-local and global couplings, and they preserve in both thermodynamic a…
Perpetual points: New tool for localization of co-existing attractors in dynamical systems
Dawid Dudkowski, Awadhesh Prasad, Tomasz Kapitaniak
Perpetual points (PPs) are special critical points for which the magnitude of acceleration describing dynamics drops to zero, while the motion is still possible (stationary points…
The smallest chimera states
Yuri Maistrenko, Serhiy Brezetsky, Patrycja Jaros +2
We demonstrate that chimera behavior can be observed in small networks consisting of three identical oscillators, with mutual all-to-all coupling. Three different types of chimeras…
Perpetual points and periodic perpetual loci in maps
Dawid Dudkowski, Awadhesh Prasad, Tomasz Kapitaniak
We introduce the concepts of perpetual points and periodic perpetual loci in discrete--time systems (maps). The occurrence and analysis of these points/loci are shown and basic exa…
Basin stability approach for quantifying responses of multistable systems with parameters mismatch
P. Brzeski, M. Lazarek, T. Kapitaniak +2
In this paper we propose a new method to detect and classify coexisting solutions in nonlinear systems. We focus on mechanical and structural systems where we usually avoid multist…
Controlling multistability by discontinuous dissipative coupling
P. Brzeski, E. Pavlovskaia, T. Kapitaniak +1
In this paper we present an influence of discontinuous coupling on the dynamics of multistable systems. Our model consists of two periodically forced oscillators that can interact…
Analysis of transition between different ringing schemes of the church bell
Piotr Brzeski, Tomasz Kapitaniak, Przemyslaw Perlikowski
In this paper we investigate dynamics of church bells, characterize their most common working regimes and investigate how to obtain them. To simulate the behavior of the yoke-bell-…
Synchronous motion of two vertically excited planar elastic pendula
Marcin Kapitaniak, Przemyslaw Perlikowski, Tomasz Kapitaniak
The dynamics of two planar elastic pendula mounted on the horizontally excited platform have been studied. We give evidence that the pendula can exhibit synchronous oscillatory and…
The dynamics of the pendulum suspended on the forced Duffing oscillator
Piotr Brzeski, Przemyslaw Perlikowski, Serhiy Yanchuk +1
We investigate the dynamics of the pendulum suspended on the forced Duffing oscillator. The detailed bifurcation analysis in two parameter space (amplitude and frequency of excitat…
Riddling and chaotic synchronization of coupled piecewise-linear Lorenz maps
Marcos C. Verges, Rodrigo Frehse Pereira, Sergio R. Lopes +2
We investigate the parametric evolution of riddled basins related to synchronization of chaos in two coupled piecewise-linear Lorenz maps. Riddling means that the basin of the sync…
Analog to Digital Conversion in Physical Measurements
T. Kapitaniak, K. Zyczkowski, U. Feudel +1
There exist measuring devices where an analog input is converted into a digital output. Such converters can have a nonlinear internal dynamics. We show how measurements with such c…