Chaos

Article	Citations
Forecasting the daily and cumulative number of cases for the COVID-19 pandemic in India	118
Strong correlations between power-law growth of COVID-19 in four continents and the inefficiency of soft quarantine strategies	104
A simple locally active memristor and its application in HR neurons	84
The effect of heterogeneity on hypergraph contagion models	84
COVID-19 second wave mortality in Europe and the United States	78
Power-law distribution in the number of confirmed COVID-19 cases	75
On explaining the surprising success of reservoir computing forecaster of chaos? The universal machine learning dynamical system with contrast to VAR and DMD	74
FitzHugh–Nagumo oscillators on complex networks mimic epileptic-seizure-related synchronization phenomena	73
Multi-scroll hidden attractor in memristive HR neuron model under electromagnetic radiation and its applications	72
Synchronization in Hindmarsh–Rose neurons subject to higher-order interactions	64
Introduction to Focus Issue: When machine learning meets complex systems: Networks, chaos, and nonlinear dynamics	64
A simple no-equilibrium chaotic system with only one signum function for generating multidirectional variable hidden attractors and its hardware implementation	57
Modeling the second wave of COVID-19 infections in France and Italy via a stochastic SEIR model	54
Stiff neural ordinary differential equations	53
Combining machine learning with knowledge-based modeling for scalable forecasting and subgrid-scale closure of large, complex, spatiotemporal systems	53
Routes to extreme events in dynamical systems: Dynamical and statistical characteristics	45
Simulation study on nonlinear structures in nonlinear dispersive media	43
High-dimensional nonlinear wave transitions and their mechanisms	43
Dynamics of a fractional epidemiological model with disease infection in both the populations	43
Dynamics editing based on offset boosting	42
Topological analysis of SARS CoV-2 main protease	41
Fractional SEIR model and data-driven predictions of COVID-19 dynamics of Omicron variant	37
Intralayer and interlayer synchronization in multiplex network with higher-order interactions	36
Fractional-calculus analysis of the transmission dynamics of the dengue infection	35
Using machine learning to predict statistical properties of non-stationary dynamical processes: System climate,regime transitions, and the effect of stochasticity	35

Effect of memory, intolerance, and second-order reputation on cooperation	35
The stochastic bifurcation analysis and stochastic delayed optimal control for epidemic model with general incidence function	35
Mathematical modeling for adsorption process of dye removal nonlinear equation using power law and exponentially decaying kernels	34
Forecasting of extreme flood events using different satellite precipitation products and wavelet-based machine learning methods	34
COVID-19 in the United States: Trajectories and second surge behavior	34
Rogue waves for the fourth-order nonlinear Schrödinger equation on the periodic background	33
Do reservoir computers work best at the edge of chaos?	33
Memristor-type chaotic mapping	33
A memristive neuron and its adaptability to external electric field	33
On the structure of time-delay embedding in linear models of non-linear dynamical systems	32
Asymptotic estimates of SARS-CoV-2 infection counts and their sensitivity to stochastic perturbation	31
Simplicial SIRS epidemic models with nonlinear incidence rates	31
Resonance and bifurcation of fractional quintic Mathieu–Duffing system	31
Mathematical modeling of COVID-19: Impact of non-pharmaceutical interventions in India	31
Effect of fear on prey–predator dynamics: Exploring the role of prey refuge and additional food	31
Caputo–Hadamard fractional differential equations on time scales: Numerical scheme, asymptotic stability, and chaos	30
Relay and complete synchronization in heterogeneous multiplex networks of chaotic maps	30
Effects of temperature and ion channel blocks on propagation of action potential in myelinated axons	30
Cluster-based dual evolution for multivariate time series: Analyzing COVID-19	29
Self-reproducing chaos and bursting oscillation analysis in a meminductor-based conservative system	29
Chimera-like behavior in a heterogeneous Kuramoto model: The interplay between attractive and repulsive coupling	29
Deep time-delay reservoir computing: Dynamics and memory capacity	29
Collective behavior in a two-layer neuronal network with time-varying chemical connections that are controlled by a Petri net	28
The discrete fractional duffing system: Chaos, 0–1 test, C complexity, entropy, and control	28
Predicting phase and sensing phase coherence in chaotic systems with machine learning	27
Effect of topology upon relay synchronization in triplex neuronal networks	27
Complex dynamics in a Hopfield neural network under electromagnetic induction and electromagnetic radiation	27
ordpy: A Python package for data analysis with permutation entropy and ordinal network methods	27
A two-layer model for coevolving opinion dynamics and collective decision-making in complex social systems	27
Exploring dynamical complexity in a time-delayed tumor-immune model	27
Growing networks with communities: A distributive link model	27
Learning latent dynamics for partially observed chaotic systems	26
Bursting during intermittency route to thermoacoustic instability: Effects of slow–fast dynamics	26
Neuron-like spiking and bursting in Josephson junctions: A review	26
A novel memristor-based dynamical system with multi-wing attractors and symmetric periodic bursting	26
Efficiency of communities and financial markets during the 2020 pandemic	25
Complex nonlinear dynamics and vibration suppression of conceptual airfoil models: A state-of-the-art overview	25
Fractional q-deformed chaotic maps: A weight function approach	25
Dynamics of a stochastic excitable system with slowly adapting feedback	24
Business cycle modeling between financial crises and black swans: Ornstein–Uhlenbeck stochastic process vs Kaldor deterministic chaotic model	24
Postural instability via a loss of intermittent control in elderly and patients with Parkinson’s disease: A model-based and data-driven approach	24
Effect of magnetic induction on the synchronizability of coupled neuron network	23
Effect of rate of change of parameter on early warning signals for critical transitions	23
Enhanced logical chaotic resonance	23
Dense networks that do not synchronize and sparse ones that do	23
A 2D hyperchaotic map with conditional symmetry and attractor growth	23
Reduced-order models for coupled dynamical systems: Data-driven methods and the Koopman operator	23
Integrated information as a common signature of dynamical and information-processing complexity	23
Using data assimilation to train a hybrid forecast system that combines machine-learning and knowledge-based components	23
Detecting causality from time series in a machine learning framework	23

Synchronization and spatial patterns in forced swarmalators	22
Breaking symmetries of the reservoir equations in echo state networks	22
Impact of number of stimulation sites on long-lasting desynchronization effects of coordinated reset stimulation	22
Effortless estimation of basins of attraction	22
Scenarios of hyperchaos occurrence in 4D Rössler system	22
Translational approaches to treating dynamical diseases through in silico clinical trials	21
Transition paths of marine debris and the stability of the garbage patches	21
Extreme synchronization events in a Kuramoto model: The interplay between resource constraints and explosive transitions	21
Homological percolation transitions in growing simplicial complexes	21
Generalized multistability and its control in a laser	21
Negative friction and mobilities induced by friction fluctuation	21
An agent-based model of multi-dimensional opinion dynamics and opinion alignment	21
Cross frequency coupling in next generation inhibitory neural mass models	21
Mitigating long transient time in deterministic systems by resetting	20
Application of recurrence quantification analysis for early detection of lean blowout in a swirl-stabilized dump combustor	20
An asymmetric interdependent networks model for cyber-physical systems	20
Homoclinic chaos in the Rössler model	20
Consensus on simplicial complexes: Results on stability and synchronization	20
Noise induced suppression of spiral waves in a hybrid FitzHugh–Nagumo neuron with discontinuous resetting	20
Betweenness centrality of teams in social networks	20
The tipping times in an Arctic sea ice system under influence of extreme events	20
Coexisting hidden and self-excited attractors in a locally active memristor-based circuit	20
Sliding homoclinic bifurcations in a Lorenz-type system: Analytic proofs	20
Contrasting chaotic with stochastic dynamics via ordinal transition networks	19
An adaptive heuristic clustering algorithm for influence maximization in complex networks	19
Optimized ensemble deep learning framework for scalable forecasting of dynamics containing extreme events	19
Many-body quantum chaos and dual-unitarity round-a-face	19
Emergent rhythms in coupled nonlinear oscillators due to dynamic interactions	19
Moving bumps in theta neuron networks	19
Collective steady-state patterns of swarmalators with finite-cutoff interaction distance	19
Measuring synchrony in bio-medical timeseries	19
Synchronization of extreme rainfall during the Australian summer monsoon: Complex network perspectives	19
Lie symmetries of two-dimensional shallow water equations with variable bottom topography	19
Some new and modified fractional analysis of the time-fractional Drinfeld–Sokolov–Wilson system	19
Extended detrended fluctuation analysis of electroencephalograms signals during sleep and the opening of the blood–brain barrier	19
Offset parameter cancellation produces countless coexisting attractors	19
Coexistence of infinitely many patterns and their control in heterogeneous coupled neurons through a multistable memristive synapse	19
Bifurcations and chaos in a Lorenz-like pilot-wave system	19
Chaotic convection in an Oldroyd viscoelastic fluid in saturated porous medium with feedback control	18
Invertible generalized synchronization: A putative mechanism for implicit learning in neural systems	18
Neuronal synchronization in long-range time-varying networks	18
Fixed-time terminal synergetic observer for synchronization of fractional-order chaotic systems	18
Interplay of simplicial awareness contagion and epidemic spreading on time-varying multiplex networks	18
How motifs condition critical thresholds for tipping cascades in complex networks: Linking micro- to macro-scales	18
Cooperation delay induced chaos in an ecological system	18
Detecting the maximum likelihood transition path from data of stochastic dynamical systems	18
Convolutional neural networks predict the onset of paroxysmal atrial fibrillation: Theory and applications	18
Learning dynamical systems in noise using convolutional neural networks	18
Discovering transition phenomena from data of stochastic dynamical systems with Lévy noise	18
Quint points lattice in a driven Belousov–Zhabotinsky reaction model	18
Evolutionary multigame with conformists and profiteers based on dynamic complex networks	18
Controlling species densities in structurally perturbed intransitive cycles with higher-order interactions	17
Reservoir computing as digital twins for nonlinear dynamical systems	17
Lagrangian chaos in steady three-dimensional lid-driven cavity flow	17
Physics-informed neural networks and functional interpolation for stiff chemical kinetics	17
Modified multiscale fuzzy entropy: A robust method for short-term physiologic signals	17
Complex bursting dynamics in an embryonic respiratory neuron model	17
A novel non-equilibrium memristor-based system with multi-wing attractors and multiple transient transitions	17
The Kuramoto model on a sphere: Explaining its low-dimensional dynamics with group theory and hyperbolic geometry	17
Accuracy of neural networks for the simulation of chaotic dynamics: Precision of training data vs precision of the algorithm	17
Reducing network size and improving prediction stability of reservoir computing	17
Enhancing the settling time estimation of fixed-time stability and applying it to the predefined-time synchronization of delayed memristive neural networks with external unknown disturbance	17
Deep learning enhanced dynamic mode decomposition	17
Periodic and aperiodic force-induced logical stochastic resonance in a bistable system	17
Kantorovich–Rubinstein–Wasserstein distance between overlapping attractor and repeller	17
Repulsive inter-layer coupling induces anti-phase synchronization	17
Existence, uniqueness, and stability of fractional hepatitis B epidemic model	17
Traveling of extreme events in network of counter-rotating nonlinear oscillators	17
Early detection of thermoacoustic instabilities in a cryogenic rocket thrust chamber using combustion noise features and machine learning	17
Effect of local and global information on the dynamical interplay between awareness and epidemic transmission in multiplex networks	16
On discrete Lorenz-like attractors	16
Multistability analysis and nonlinear vibration for generator set in series hybrid electric vehicle through electromechanical coupling	16
Balanced Hodge Laplacians optimize consensus dynamics over simplicial complexes	16
Combining machine learning and data assimilation to forecast dynamical systems from noisy partial observations	16
A novel four-step feedback procedure for rapid control of chaotic behavior of the logistic map and unstable traffic on the road	16
A note on the continuity for Caputo fractional stochastic differential equations	16
Identification of chimera using machine learning	16
Bifurcations, chaos, and multistability in a nonautonomous predator–prey model with fear	16
The impact of non-pharmaceutical interventions on the prevention and control of COVID-19 in New York City	16
Control of inter-layer synchronization by multiplexing noise	16

Amplitude chimera and chimera death induced by external agents in two-layer networks	16
Hidden coexisting firings in fractional-order hyperchaotic memristor-coupled HR neural network with two heterogeneous neurons and its applications	16
An averaging principle for fractional stochastic differential equations with Lévy noise	16
Noise-driven multistability vs deterministic chaos in phenomenological semi-empirical models of whole-brain activity	16
Model-free inference of unseen attractors: Reconstructing phase space features from a single noisy trajectory using reservoir computing	16
Explosive synchronization in interlayer phase-shifted Kuramoto oscillators on multiplex networks	16
Optimal flatness placement of sensors and actuators for controlling chaotic systems	16
The third type of chaos in a system of two adaptively coupled phase oscillators	15
Optimal test-kit-based intervention strategy of epidemic spreading in heterogeneous complex networks	15
Fractional calculus with exponential memory	15
Four-wave mixing and coherently coupled Schrödinger equations: Cascading processes and Fermi–Pasta–Ulam–Tsingou recurrence	15
Periodicity characterization of the nonlinear magnetization dynamics	15
Amplitude-modulated spiking as a novel route to bursting: Coupling-induced mixed-mode oscillations by symmetry breaking	15
Terminating transient chaos in spatially extended systems	15
Synchronization in the Kuramoto model in presence of stochastic resetting	15
Optimizing memory in reservoir computers	15
Robust forecasting using predictive generalized synchronization in reservoir computing	15
Routes toward chaos in a memristor-based Shinriki circuit	15
Rumor spreading: A trigger for proliferation or fading away	15
Double excitation multi-stability and multi-pulse chaotic vibrations of a bistable asymmetric laminated composite square panels under foundation force	15
Shilnikov attractors in three-dimensional orientation-reversing maps	15
Multifractal detrended cross-correlation analysis of wind speed and solar radiation	15
Maximum entropy principle in recurrence plot analysis on stochastic and chaotic systems	15
Global phase-amplitude description of oscillatory dynamics via the parameterization method	15
A complex network approach to study the extreme precipitation patterns in a river basin	14
Knowledge-based learning of nonlinear dynamics and chaos	14
Targeting attack hypergraph networks	14
Global analysis of stochastic bifurcation in shape memory alloy supporter with the extended composite cell coordinate system method	14
Nonlocal Raman response in Kerr resonators: Moving temporal localized structures and bifurcation structure	14
Melnikov-type method for a class of planar hybrid piecewise-smooth systems with impulsive effect and noise excitation: Heteroclinic orbits	14
Parametric excitation induced extreme events in MEMS and Liénard oscillator	14
Polarity balance for attractor self-reproducing	14
Identifying influential nodes: A new method based on network efficiency of edge weight updating	14
Coherent oscillations in balanced neural networks driven by endogenous fluctuations	14
Diversity-induced resonance for optimally suprathreshold signals	14
Revealing a multiplex brain network through the analysis of recurrences	14
Stochastic effects on the dynamics of an epidemic due to population subdivision	14
Parity-time-symmetric rational vector rogue waves of the n-component nonlinear Schrödinger equation	14
Characteristics of 2020 stock market crash: The COVID-19 induced extreme event	14
An overview of epidemic models with phase transitions to absorbing states running on top of complex networks	14
Learn to synchronize, synchronize to learn	14
Random-matrix theory for the Lindblad master equation	14
Chaotic wave dynamics in weakly magnetized spherical Couette flows	14
Embedded model discrepancy: A case study of Zika modeling	13
Rare events in complex systems: Understanding and prediction	13
Stochastic analysis of COVID-19 by a SEIR model with Lévy noise	13
Predicting critical transitions in multiscale dynamical systems using reservoir computing	13
Bistability in a tri-trophic food chain model: Basin stability perspective	13
Diffusion-induced regular and chaotic patterns in a ratio-dependent predator–prey model with fear factor and prey refuge	13
Transient dynamics and multistability in two electrically interacting FitzHugh–Nagumo neurons	13
Interrupting vaccination policies can greatly spread SARS-CoV-2 and enhance mortality from COVID-19 disease: The AstraZeneca case for France and Italy	13
Structural anomalies in brain networks induce dynamical pacemaker effects	13
Characterizing dynamical transitions by statistical complexity measures based on ordinal pattern transition networks	13
Two-dimensional optical chimera states in an array of coupled waveguide resonators	13
A generalized linear threshold model for an improved description of the spreading dynamics	13
Data-driven reduced-order modeling of spatiotemporal chaos with neural ordinary differential equations	13
Controlling collective synchrony in oscillatory ensembles by precisely timed pulses	13
Impact of fear effect and prey refuge on a fractional order prey–predator system with Beddington–DeAngelis functional response	13
A generalized permutation entropy for noisy dynamics and random processes	13
Does following optimized routes for single cars improve car routing?	13
Learning spatiotemporal chaos using next-generation reservoir computing	13
Stability analysis and numerical simulations of spatiotemporal HIV CD4+ T cell model with drug therapy	13
Locally active memristor based oscillators: The dynamic route from period to chaos and hyperchaos	13
Spontaneous symmetry breaking in purely nonlinear fractional systems	13
Nonlinear dynamical behavior of an SEIR mathematical model: Effect of information and saturated treatment	13
The impact of malicious nodes on the spreading of false information	13
Vulnerability in dynamically driven oscillatory networks and power grids	13
Wavelet skeletons in sleep EEG-monitoring as biomarkers of early diagnostics of mild cognitive impairment	13
Control of dissipative rogue waves in nonlinear cavity optics: Optical injection and time-delayed feedback	12
On infinite homoclinic orbits induced by unstable periodic orbits in the Lorenz system	12
Solitary states in the mean-field limit	12
Periodic hematological disorders: Quintessential examples of dynamical diseases	12
Control of tipping points in stochastic mutualistic complex networks	12
Basin of attraction for chimera states in a network of Rössler oscillators	12
Identifying edges that facilitate the generation of extreme events in networked dynamical systems	12
Quantum hydrodynamic theory of quantum fluctuations in dipolar Bose–Einstein condensate	12
Dynamics study on the effect of memristive autapse distribution on Hopfield neural network	12
Bifurcations of front motion in passive and active Allen–Cahn-type equations	12
Wave-packet behaviors of the defocusing nonlinear Schrödinger equation based on the modified physics-informed neural networks	12
Spreading of two interacting diseases in multiplex networks	12
A phytoplankton–zooplankton–fish model with chaos control: In the presence of fear effect and an additional food	12
Spectral analysis of the Koopman operator for partial differential equations	12
Degenerated Liouvillians and steady-state reduced density matrices	12
Symplectic Gaussian process regression of maps in Hamiltonian systems	12
Bias in social interactions and emergence of extremism in complex social networks	12
Game dynamics of emotion evolution based on the Moran process	12
Geographical fragmentation of the global network of Twitter communications	12
Multifunctionality in a reservoir computer	12
Probabilistic response of a fractional-order hybrid vibration energy harvester driven by random excitation	12
Finding nonlinear system equations and complex network structures from data: A sparse optimization approach	12
Existence and controllability for conformable fractional stochastic differential equations with infinite delay via measures of noncompactness	12
In search of peak human athletic potential: A mathematical investigation	12
Chaos in the peroxidase–oxidase oscillator	12
Noisy consensus dynamics in windmill-type graphs	12
Early-warning signals for disease activity in patients diagnosed with multiple sclerosis based on keystroke dynamics	12