OOIR: Observatory of International Research

Papers

(The TQCC of Qualitative Theory of Dynamical Systems is 3. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2020-03-01 to 2024-03-01.)

Article	Citations
Natural Convection Non-Newtonian EMHD Dissipative Flow Through a Microchannel Containing a Non-Darcy Porous Medium: Homotopy Perturbation Method Study	58
Considering the Shallow Water of a Wide Channel or an Open Sea Through a Generalized (2+1)-dimensional Dispersive Long-wave System	48
Symbolically Computing the Shallow Water via a (2+1)-Dimensional Generalized Modified Dispersive Water-Wave System: Similarity Reductions, Scaling and Hetero-Bäcklund Transformations	33
Dynamical Behavior of Traveling Wave Solutions for a (2+1)-Dimensional Bogoyavlenskii Coupled System	30
A new (3+1)-dimensional Sakovich equation in nonlinear wave motion: Painlevé integrability, multiple solitons and soliton molecules	22
Hetero-Bäcklund Transformation, Bilinear Forms and N Solitons for a Generalized Three-Coupled Korteweg-de Vries System	21
Auto-Bäcklund Transformation, Similarity Reductions and Solitons of an Extended ($$2+1$$)-Dimensional Coupled Burgers System in Fluid Mechanics	19
Stability and Hopf Bifurcation Analysis for a Two-Species Commensalism System with Delay	18
Quaternion-Valued Linear Impulsive Differential Equations	17
On the Stability of Linear Quaternion-Valued Differential Equations	15
Magnetooptic Studies on a Ferromagnetic Material via an Extended (3+1)-Dimensional Variable-Coefficient Modified Kadomtsev-Petviashvili System	15
Compact Almost Automorphic Function on Time Scales and Its Application	14
Bilinear Auto-Bäcklund Transformations and Similarity Reductions for a (3+1)-dimensional Generalized Yu-Toda-Sasa-Fukuyama System in Fluid Mechanics and Lattice Dynamics	14
Dynamics of a Family of Meromorphic Functions with Two Essential Singularities Which Are Not Omitted Values	13
Well-Posedness of Inverse Sturm–Liouville Problem with Fractional Derivative	13
Investigation on the Single and Multiple Dromions for Nonlinear Telegraph Equation in Electrical Transmission Line	12
Lie Symmetries and Dynamical Behavior of Soliton Solutions of KP-BBM Equation	11
Hyers–Ulam Stability for a Coupled System of Fractional Differential Equation With p-Laplacian Operator Having Integral Boundary Conditions	10
Analysis of the Predator–Prey Interactions: A Stochastic Model Incorporating Disease Invasion	10
An Explication of Finite-Time Stability for Fractional Delay Model with Neutral Impulsive Conditions	10
Qualitative Analysis of the Dynamic for the Nonlinear Korteweg–de Vries Equation with a Boundary Memory	10
Ground State Sign-Changing Solution for Schrödinger-Poisson System with Critical Growth	9
Qualitative and Bifurcation Analysis in a Leslie-Gower Model with Allee Effect	9
Analytical Traveling Wave and Soliton Solutions of the $$(2+1)$$ Dimensional Generalized Burgers–Huxley Equation	9
Fibonacci Wavelet Collocation Method for Fredholm Integral Equations of Second Kind	9

A Discrete-Time Model for Consumer–Resource Interaction with Stability, Bifurcation and Chaos Control	9
Qualitative Investigation of Nonlinear Fractional Coupled Pantograph Impulsive Differential Equations	9
Noninstantaneous Impulsive Conformable Fractional Stochastic Delay Integro-Differential System with Rosenblatt Process and Control Function	9
Existence Results and Ulam–Hyers Stability for a Fully Coupled System of Nonlinear Sequential Hilfer Fractional Differential Equations and Integro-Multistrip-Multipoint Boundary Conditions	9
Travelling Wave Solutions of the General Regularized Long Wave Equation	8
Puiseux Integrability of Differential Equations	8
Bielecki–Ulam’s Types Stability Analysis of Hammerstein and Mixed Integro–Dynamic Systems of Non–Linear Form with Instantaneous Impulses on Time Scales	8
Existence Theory and Ulam’s Stabilities of Fractional Langevin Equation	8
Nonlinear Dynamical Analysis and Optimal Control Strategies for a New Rumor Spreading Model with Comprehensive Interventions	8
A New Five-Dimensional Hyperchaotic System with Six Coexisting Attractors	7
Lie Symmetries and Exact Solutions of KdV–Burgers Equation with Dissipation in Dusty Plasma	7
N-Lump Solutions to a (3+1)-Dimensional Variable-Coefficient Generalized Nonlinear Wave Equation in a Liquid with Gas Bubbles	7
Investigation of Controllability and Observability for Linear Quaternion-Valued Systems from Its Complex-Valued Systems	7
Exact Controllability of Hilfer Fractional Differential System with Non-instantaneous Impluleses and State Dependent Delay	7
Bifurcation of Limit Cycles by Perturbing a Piecewise Linear Hamiltonian System	7
Limit Cycles in the Discontinuous Planar Piecewise Linear Systems with Three Zones	7
On the Bielecki–Ulam’s Type Stability Results of First Order Non-linear Impulsive Delay Dynamic Systems on Time Scales	7
Global Behavior and Bifurcation in a Class of Host–Parasitoid Models with a Constant Host Refuge	7
Dynamical Analysis of a Discrete Amensalism System with the Beddington–DeAngelis Functional Response and Allee Effect for the Unaffected Species	6
Small Amplitude Limit Cycles and Local Bifurcation of Critical Periods for a Quartic Kolmogorov System	6
Interaction Behaviors Between Solitons, Breathers and Their Hybrid Forms for a Short Pulse Equation	6
Discussion on the Approximate Controllability of Nonlocal Fractional Derivative by Mittag-Leffler Kernel to Stochastic Differential Systems	6
Continuous Wong–Zakai Approximations of Random Attractors for Quasi-linear Equations with Nonlinear Noise	6
An Analysis Regarding to Approximate Controllability for Hilfer Fractional Neutral Evolution Hemivariational Inequality	6
Topological Average Shadowing Property on Uniform Spaces	6
A Linear Estimate of the Number of Limit Cycles for A Piecewise Smooth Near-Hamiltonian System	6
Polynomial Entropy for Interval Maps and Lap Number	6
Analysis of Q-Fractional Implicit Differential Equation with Nonlocal Riemann–Liouville and Erdélyi-Kober Q-Fractional Integral Conditions	6
Positive Periodic Solutions of an Eco-Epidemic Model with Crowley–Martin type Functional Response and Disease in the Prey	6
A Note on the Existence and Controllability Results for Fractional Integrodifferential Inclusions of Order $$r \in (1,2]$$ with Impulses	6
Superattracting Extraneous Fixed Points and n-cycles for Chebyshev’s Method on Cubic Polynomials	6
Asymptotic and Oscillatory Behaviour of Third Order Non-linear Differential Equations with Canonical Operator and Mixed Neutral Terms	6
Dynamic Analysis of Multi-factor Influence on a Holling Type II Predator–Prey Model	6
Existence of Gibbs States and Maximizing Measures on a General One-Dimensional Lattice System with Markovian Structure	6
Discussion on Existence of Mild Solutions for Hilfer Fractional Neutral Stochastic Evolution Equations Via Almost Sectorial Operators with Delay	6
Ergodicities of Infinite Dimensional Nonlinear Stochastic Operators	6
Breather Wave Solutions for the (3+1)-D Generalized Shallow Water Wave Equation with Variable Coefficients	5
Existence of Periodic Solutions to Quaternion-Valued Impulsive Differential Equations	5
Spatiotemporal Dynamics in a Diffusive Bacterial and Viral Diseases Propagation Model with Chemotaxis	5
Generalized Fractional Differential Systems with Stieltjes Boundary Conditions	5
On Existence and Continuity Results of Solution for Multi-time Scale Fractional Stochastic Differential Equation	5
Globally Exponential Stability of Piecewise Pseudo Almost Periodic Solutions for Neutral Differential Equations with Impulses and Delays	5
On the Number of Limit Cycles in General Planar Piecewise Linear Differential Systems with Two Zones Having Two Real Equilibria	5
Dynamics of Second Order Lattice Systems with Almost Periodic Nonlinear Part	5
Besicovitch Almost Periodic Solutions to Stochastic Dynamic Equations with Delays	5
Existence and Stability Results for Nonlinear Implicit Random Fractional Integro-Differential Equations	5
Characterizing Quadratic Convection and Electromagnetically Induced Flow of Couple Stress Fluids in Microchannels	5
Global Dynamics for a Vector-Borne Disease Model with Class-Age-Dependent Vaccination, Latency and General Incidence Rate	5
Positive Mild Solutions for Damped Elastic Systems with Delay and Nonlocal Conditions in Ordered Banach Space	5
New Analytic Solutions for Fluid Flow Equations in Higher Dimensions Around an Offshore Structure Describing Bidirectional Wave Surfaces	5

Results on the Approximate Controllability of Hilfer Type fractional Semilinear Control Systems	5
Traveling Wave Solution of Bad and Good Modified Boussinesq Equations with Conformable Fractional-Order Derivative	5
Positive Periodic Solutions to a Second-Order Singular Differential Equation with Indefinite Weights	5
Dynamics of the System of Difference Equations $$x_{n+1} = A + \frac{y_{n-k}}{y_{n}}, \,\,\, y_{n+1} = B + \frac{x_{n-k}}{x_{n}}$$	5
On a Coupled Impulsive Fractional Integrodifferential System with Hadamard Derivatives	5
Second Order Iterative Dynamic Boundary Value Problems with Mixed Derivative Operators with Applications	4
Representation of Solutions to Linear Quaternion Differential Equations With Delay	4
On the Number of the Classes of Topological Conjugacy of Pixton Diffeomorphisms	4
Transcritical Bifurcation and Flip Bifurcation of a New Discrete Ratio-Dependent Predator-Prey System	4
Ground State Sign-Changing Solutions for a Kirchhoff Equation with Asymptotically 3-Linear Nonlinearity	4
New Soliton and Periodic Wave Solutions to the Fractional DGH Equation Describing Water Waves in a Shallow Regime	4
Analysis of Neutral Fractional Differential Equation via the Method of Upper and Lower Solution	4
Hyers-Ulam Stability of Linear Quaternion-Valued Differential Equations with Constant Coefficients via Fourier Transform	4
On the Generalized Normal Form of ODE Systems	4
Stability Analysis of Second Order Impulsive Differential Equations	4
Nonequilibrium in Thermodynamic Formalism: The Second Law, Gases and Information Geometry	4
On the Second Lyapunov Method for Quaternionic Differential Equations	4
Qualitative Analysis of an HIV/AIDS Model with Treatment and Nonlinear Perturbation	4
Periodic Points of Regular Curve Homeomorphisms	4
Reconstruction of Potential in Discrete Sturm–Liouville Problem	4
Existence and Stability of Solutions to Neutral Conformable Stochastic Functional Differential Equations	4
Central Configurations in the Five-Body Problem: Rhombus Plus One	4
On the Existence of Solitary Wave Solutions for Perturbed Degasperis-Procesi Equation	4
Traveling Wave Solutions of Generalized Dullin–Gottwald–Holm Equation with Parabolic Law Nonlinearity	4
Perturbed Impulsive Neutral Stochastic Functional Differential Equations	4
A Quasilinear Predator-Prey Model with Indirect Prey-Taxis	4
Applications of the Moser’s Twist Theorem to Some Impulsive Differential Equations	4
On Implicit k-Generalized $$\psi $$-Hilfer Fractional Differential Coupled Systems with Periodic Conditions	4
Keplerian Orbits Through the Conley–Zehnder Index	4
Existence of Positive Solutions for the Nonlinear Kirchhoff Type Equations in $${\mathbb {R}}^3$$	4
Long-Time Behavior of Non-Autonomous FitzHugh–Nagumo Lattice Systems	3
Topological Classifications for a Class of 2-dimensional Quadratic Mappings and an Application to Iterative Roots	3
Bogdanov–Takens and Hopf Bifurcations Analysis of a Genetic Regulatory Network	3
On the existence of the Hutchinson measure for generalized iterated function systems	3
Bifurcation and Dynamic Analyses of Non-monotonic Predator–Prey System with Constant Releasing Rate of Predators	3
Bifurcations in a Dynamical Model of the Innate Immune System Response to Initial Pulmonary Infection	3
Hyers–Ulam and Hyers–Ulam–Rassias Stability of First-Order Nonlinear Dynamic Equations	3
Analysis and Applications of Sequential Hybrid $$\psi $$-Hilfer Fractional Differential Equations and Inclusions in Banach Algebra	3
Existence and Multiplicity of Mild Solutions for First-Order Hamilton Random Impulsive Differential Equations with Dirichlet Boundary Conditions	3
An Impulsive Predator–Prey System with Modified Leslie–Gower Functional Response and Diffusion	3
Dynamical Behavior of a Stochastic Microorganism Flocculation Model with Nonlinear Perturbation	3
On Limit Sets of Monotone Maps on Regular Curves	3
Phase Portraits of Random Planar Homogeneous Vector Fields	3
Bifurcation of Limit Cycles of a Piecewise Smooth Hamiltonian System	3
An Optimal Control Strategy for Antiretroviral Treatment of HIV Infection in Presence of Immunotherapy	3
Liouville Results for Double Phase Problems in $$\mathbb {R}^N$$	3
Lyapunov Functions for Investigating Stability Properties of a Fractional-Order Computer Virus Propagation Model	3
Existence and Asymptotic Behaviour of Solutions for a Quasilinear Schrödinger-Poisson System in $${\mathbb {R}}^3$$	3
Lump Solution, Breather Soliton and More Soliton Solutions for a (2+1)-Dimensional Generalized Benjamin–Ono Equation	3
Existence of Periodic Solutions for the Forced Pendulum Equations of Variable Length	3
Phase Portraits of the Discontinuous Planar Piecewise Linear Differential Systems of Focus-Center Type	3
Bifurcation of Limit Cycles and Isochronous Centers on Center Manifolds for a Class of Cubic Kolmogorov Systems in $${\mathbb {R}}^{3}$$	3
Existence for Impulsive Semilinear Functional Differential Inclusions	3
Dynamical Behavior and Wave Speed Perturbations in the (2 + 1) pKP Equation	3
Chaotic Dynamics of a 2D Hyperbolic PDE with the Boundary Conditions of Superlinear Type	3
Properties of Traveling Wave Fronts for Three Species Lotka–Volterra System	3
Qualitative Results for Nonlinear Integro-Dynamic Equations via Integral Inequalities	3
On Unbounded Motions in a Real Analytic Bouncing ball Problem	3
Global Effect of Non-Conservative Perturbations on Homoclinic Orbits	3
Periodic Orbits and Global Stability for a Discontinuous SIR Model with Delayed Control	3
Continuous Dependence and Differentiability of Solutions of Second-Order Impulsive Differential Equations on Initial Values and Impulsive Points	3
Analysis on the Controllability of Hilfer Fractional Neutral Differential Equations with Almost Sectorial Operators and Infinite Delay via Measure of Noncompactness	3
Two Weighted Norm Dynamic Inequalities with Applications on Second Order Half-Linear Dynamic Equations	3
Dynamics of a Population with Two Equal Dominated Species	3
Existence and Multiplicity of Solutions for Fractional $$\kappa (\xi )$$-Kirchhoff-Type Equation	3
Global Dynamics of a Piecewise Smooth System with a Fold–Cusp and General Parameters	3
Isochronicity Conditions and Lagrangian Formulations of the Hirota Type Oscillator Equations	3
Dynamics of a Discrete-Time Predator–Prey System with Holling II Functional Response	3
Persistence of Degenerate Lower Dimensional Invariant Tori in Reversible Systems with Bruno Non-degeneracy Conditions	3
Hyers–Ulam Stability of Linear Recurrence with Constant Coefficients Over the Quaternion Skew Yield	3
Some New Characterizations of Weights in Dynamic Inequalities Involving Monotonic Functions	3
Dynamics of N-Species Cooperation Models with Feedback Controls and Continuous Delays	3
Spectral Analysis of $$\alpha $$-Semi Periodic 2-Interval Sturm-Liouville Problems	3
Solitary Waves and Periodic Waves in a Perturbed KdV Equation	3