Qualitative Theory of Dynamical Systems

Article	Citations
Natural Convection Non-Newtonian EMHD Dissipative Flow Through a Microchannel Containing a Non-Darcy Porous Medium: Homotopy Perturbation Method Study	65
Considering the Shallow Water of a Wide Channel or an Open Sea Through a Generalized (2+1)-dimensional Dispersive Long-wave System	50
Symbolically Computing the Shallow Water via a (2+1)-Dimensional Generalized Modified Dispersive Water-Wave System: Similarity Reductions, Scaling and Hetero-Bäcklund Transformations	34
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	24
Hetero-Bäcklund Transformation, Bilinear Forms and N Solitons for a Generalized Three-Coupled Korteweg-de Vries System	22
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	18
Magnetooptic Studies on a Ferromagnetic Material via an Extended (3+1)-Dimensional Variable-Coefficient Modified Kadomtsev-Petviashvili System	16
Compact Almost Automorphic Function on Time Scales and Its Application	15
On the Stability of Linear Quaternion-Valued Differential Equations	15
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	14
Fibonacci Wavelet Collocation Method for Fredholm Integral Equations of Second Kind	14
Well-Posedness of Inverse Sturm–Liouville Problem with Fractional Derivative	14
N-Lump Solutions to a (3+1)-Dimensional Variable-Coefficient Generalized Nonlinear Wave Equation in a Liquid with Gas Bubbles	12
Noninstantaneous Impulsive Conformable Fractional Stochastic Delay Integro-Differential System with Rosenblatt Process and Control Function	12
Investigation on the Single and Multiple Dromions for Nonlinear Telegraph Equation in Electrical Transmission Line	12
Existence Results and Ulam–Hyers Stability for a Fully Coupled System of Nonlinear Sequential Hilfer Fractional Differential Equations and Integro-Multistrip-Multipoint Boundary Conditions	11
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	11
Breather Wave Solutions for the (3+1)-D Generalized Shallow Water Wave Equation with Variable Coefficients	10
Qualitative Analysis of the Dynamic for the Nonlinear Korteweg–de Vries Equation with a Boundary Memory	10
Qualitative Investigation of Nonlinear Fractional Coupled Pantograph Impulsive Differential Equations	10

Qualitative and Bifurcation Analysis in a Leslie-Gower Model with Allee Effect	10
An Explication of Finite-Time Stability for Fractional Delay Model with Neutral Impulsive Conditions	10
A Discrete-Time Model for Consumer–Resource Interaction with Stability, Bifurcation and Chaos Control	10
Bielecki–Ulam’s Types Stability Analysis of Hammerstein and Mixed Integro–Dynamic Systems of Non–Linear Form with Instantaneous Impulses on Time Scales	10
Ground State Sign-Changing Solution for Schrödinger-Poisson System with Critical Growth	9
Exact Controllability of Hilfer Fractional Differential System with Non-instantaneous Impluleses and State Dependent Delay	9
Analytical Traveling Wave and Soliton Solutions of the $$(2+1)$$ Dimensional Generalized Burgers–Huxley Equation	9
Puiseux Integrability of Differential Equations	8
Existence Theory and Ulam’s Stabilities of Fractional Langevin Equation	8
Investigation of Controllability and Observability for Linear Quaternion-Valued Systems from Its Complex-Valued Systems	8
Travelling Wave Solutions of the General Regularized Long Wave Equation	8
Discussion on Existence of Mild Solutions for Hilfer Fractional Neutral Stochastic Evolution Equations Via Almost Sectorial Operators with Delay	8
Asymptotic and Oscillatory Behaviour of Third Order Non-linear Differential Equations with Canonical Operator and Mixed Neutral Terms	8
Nonlinear Dynamical Analysis and Optimal Control Strategies for a New Rumor Spreading Model with Comprehensive Interventions	8
On the Bielecki–Ulam’s Type Stability Results of First Order Non-linear Impulsive Delay Dynamic Systems on Time Scales	7
Lie Symmetries and Exact Solutions of KdV–Burgers Equation with Dissipation in Dusty Plasma	7
Global Behavior and Bifurcation in a Class of Host–Parasitoid Models with a Constant Host Refuge	7
Limit Cycles in the Discontinuous Planar Piecewise Linear Systems with Three Zones	7
Dynamic Analysis of Multi-factor Influence on a Holling Type II Predator–Prey Model	7
Bifurcation of Limit Cycles by Perturbing a Piecewise Linear Hamiltonian System	7
Discussion on the Approximate Controllability of Nonlocal Fractional Derivative by Mittag-Leffler Kernel to Stochastic Differential Systems	7
A Linear Estimate of the Number of Limit Cycles for A Piecewise Smooth Near-Hamiltonian System	7
Traveling Wave Solution of Bad and Good Modified Boussinesq Equations with Conformable Fractional-Order Derivative	7
A New Five-Dimensional Hyperchaotic System with Six Coexisting Attractors	7
Characterizing Quadratic Convection and Electromagnetically Induced Flow of Couple Stress Fluids in Microchannels	7
Dynamical Analysis of a Discrete Amensalism System with the Beddington–DeAngelis Functional Response and Allee Effect for the Unaffected Species	7
On the Number of Limit Cycles in General Planar Piecewise Linear Differential Systems with Two Zones Having Two Real Equilibria	6
A Note on the Existence and Controllability Results for Fractional Integrodifferential Inclusions of Order $$r \in (1,2]$$ with Impulses	6
Bilinear Form, Bilinear Bäcklund Transformations, Breather and Periodic-Wave Solutions for a (2+1)-Dimensional Shallow Water Equation with the Time-Dependent Coefficients	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
Existence of Gibbs States and Maximizing Measures on a General One-Dimensional Lattice System with Markovian Structure	6
Continuous Wong–Zakai Approximations of Random Attractors for Quasi-linear Equations with Nonlinear Noise	6
Ergodicities of Infinite Dimensional Nonlinear Stochastic Operators	6
Topological Average Shadowing Property on Uniform Spaces	6
Generalized Fractional Differential Systems with Stieltjes Boundary Conditions	6
On Existence and Continuity Results of Solution for Multi-time Scale Fractional Stochastic Differential Equation	6
An Analysis Regarding to Approximate Controllability for Hilfer Fractional Neutral Evolution Hemivariational Inequality	6
New Analytic Solutions for Fluid Flow Equations in Higher Dimensions Around an Offshore Structure Describing Bidirectional Wave Surfaces	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
On a Coupled Impulsive Fractional Integrodifferential System with Hadamard Derivatives	6
Results on the Approximate Controllability of Hilfer Type fractional Semilinear Control Systems	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
Nonequilibrium in Thermodynamic Formalism: The Second Law, Gases and Information Geometry	5
Dynamics of Second Order Lattice Systems with Almost Periodic Nonlinear Part	5
Lump Solution, Breather Soliton and More Soliton Solutions for a (2+1)-Dimensional Generalized Benjamin–Ono Equation	5
Keplerian Orbits Through the Conley–Zehnder Index	5
Spatiotemporal Dynamics in a Diffusive Bacterial and Viral Diseases Propagation Model with Chemotaxis	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
Positive Mild Solutions for Damped Elastic Systems with Delay and Nonlocal Conditions in Ordered Banach Space	5
Existence of Periodic Solutions to Quaternion-Valued Impulsive Differential Equations	5
On Implicit k-Generalized $$\psi $$-Hilfer Fractional Differential Coupled Systems with Periodic Conditions	5
Hyers-Ulam Stability of Linear Quaternion-Valued Differential Equations with Constant Coefficients via Fourier Transform	5
Representation of Solutions to Linear Quaternion Differential Equations With Delay	5
Globally Exponential Stability of Piecewise Pseudo Almost Periodic Solutions for Neutral Differential Equations with Impulses and Delays	5
Global Dynamics for a Vector-Borne Disease Model with Class-Age-Dependent Vaccination, Latency and General Incidence Rate	5
Modeling Wave Propagation with Gravity and Surface Tension: Soliton Solutions for the Generalized Hietarinta-Type Equation	5
New Soliton and Periodic Wave Solutions to the Fractional DGH Equation Describing Water Waves in a Shallow Regime	5
On the Oceanic/Laky Shallow-Water Dynamics through a Boussinesq-Burgers System	4
Applications of the Moser’s Twist Theorem to Some Impulsive Differential Equations	4
Analysis of Neutral Fractional Differential Equation via the Method of Upper and Lower Solution	4
Some New Characterizations of Weights in Dynamic Inequalities Involving Monotonic Functions	4
Existence of Positive Solutions for the Nonlinear Kirchhoff Type Equations in $${\mathbb {R}}^3$$	4
Analysis on the Controllability of Hilfer Fractional Neutral Differential Equations with Almost Sectorial Operators and Infinite Delay via Measure of Noncompactness	4
Traveling Wave Solutions of Generalized Dullin–Gottwald–Holm Equation with Parabolic Law Nonlinearity	4
On the Second Lyapunov Method for Quaternionic Differential Equations	4
Ground State Sign-Changing Solutions for a Kirchhoff Equation with Asymptotically 3-Linear Nonlinearity	4
On the Number of the Classes of Topological Conjugacy of Pixton Diffeomorphisms	4
Bifurcation and Dynamic Analyses of Non-monotonic Predator–Prey System with Constant Releasing Rate of Predators	4
Existence and Multiplicity of Mild Solutions for First-Order Hamilton Random Impulsive Differential Equations with Dirichlet Boundary Conditions	4
Dynamics of a Discrete-Time Predator–Prey System with Holling II Functional Response	4
Hyers–Ulam and Hyers–Ulam–Rassias Stability of First-Order Nonlinear Dynamic Equations	4
Hyers–Ulam Stability of Linear Recurrence with Constant Coefficients Over the Quaternion Skew Yield	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
Stability Analysis of Second Order Impulsive Differential Equations	4
Transcritical Bifurcation and Flip Bifurcation of a New Discrete Ratio-Dependent Predator-Prey System	4
An Impulsive Predator–Prey System with Modified Leslie–Gower Functional Response and Diffusion	4
A Quasilinear Predator-Prey Model with Indirect Prey-Taxis	4
Bogdanov–Takens and Hopf Bifurcations Analysis of a Genetic Regulatory Network	4
Ulam–Hyers–Rassias Stability of Neutral Functional Integrodifferential Evolution Equations with Non-instantaneous Impulses on an Unbounded Interval	4
Periodic Points of Regular Curve Homeomorphisms	4
Phase Portraits of the Discontinuous Planar Piecewise Linear Differential Systems of Focus-Center Type	4
Reconstruction of Potential in Discrete Sturm–Liouville Problem	4
Qualitative Results for Nonlinear Integro-Dynamic Equations via Integral Inequalities	4
Second Order Iterative Dynamic Boundary Value Problems with Mixed Derivative Operators with Applications	4
On the existence of the Hutchinson measure for generalized iterated function systems	4
On the Generalized Normal Form of ODE Systems	4
Approximate Controllability for Mixed Type Non-autonomous Fractional Differential Equations	4
Existence and Multiplicity of Solutions for Fractional $$\kappa (\xi )$$-Kirchhoff-Type Equation	4
Perturbed Impulsive Neutral Stochastic Functional Differential Equations	4
Analysis and Applications of Sequential Hybrid $$\psi $$-Hilfer Fractional Differential Equations and Inclusions in Banach Algebra	4
Qualitative Analysis of an HIV/AIDS Model with Treatment and Nonlinear Perturbation	4
Existence and Controllability of a Class of Non-autonomous Nonlinear Evolution Fractional Integrodifferential Equations with Delay	4
Phase Portraits of Random Planar Homogeneous Vector Fields	3
Dynamics of N-Species Cooperation Models with Feedback Controls and Continuous Delays	3
On the Existence of Solitary Wave Solutions for Perturbed Degasperis-Procesi Equation	3
Existence and Asymptotic Behaviour of Solutions for a Quasilinear Schrödinger-Poisson System in $${\mathbb {R}}^3$$	3
Topological Classifications for a Class of 2-dimensional Quadratic Mappings and an Application to Iterative Roots	3
Global Dynamics of a Piecewise Smooth System with a Fold–Cusp and General Parameters	3
Analysis of Neutral Stochastic Fractional Differential Equations Involving Riemann–Liouville Fractional Derivative with Retarded and Advanced Arguments	3
Soliton Solutions and Other Solutions to the (4+1)-Dimensional Davey–Stewartson–Kadomtsev–Petviashvili Equation using Modified Extended Mapping Method	3
Bifurcation of Limit Cycles and Isochronous Centers on Center Manifolds for a Class of Cubic Kolmogorov Systems in $${\mathbb {R}}^{3}$$	3
On a Family of Non-Volterra Quadratic Operators Acting on a Simplex	3
Isochronicity Conditions and Lagrangian Formulations of the Hirota Type Oscillator Equations	3
Properties of Traveling Wave Fronts for Three Species Lotka–Volterra System	3
On Limit Sets of Monotone Maps on Regular Curves	3
An Optimal Control Strategy for Antiretroviral Treatment of HIV Infection in Presence of Immunotherapy	3
Bifurcation of Limit Cycles of a Piecewise Smooth Hamiltonian System	3
Spectral Analysis of $$\alpha $$-Semi Periodic 2-Interval Sturm-Liouville Problems	3
Approximate Controllability for Hilfer Fractional Stochastic Non-instantaneous Impulsive Differential System with Rosenblatt Process and Poisson Jumps	3
Continuous Dependence and Differentiability of Solutions of Second-Order Impulsive Differential Equations on Initial Values and Impulsive Points	3
Two Weighted Norm Dynamic Inequalities with Applications on Second Order Half-Linear Dynamic Equations	3
Lyapunov Functions for Investigating Stability Properties of a Fractional-Order Computer Virus Propagation Model	3
Stability and Neimark–Sacker Bifurcation of Certain Mixed Monotone Rational Second-Order Difference Equation	3
Dynamical Behavior and Wave Speed Perturbations in the (2 + 1) pKP Equation	3
Elastic Two-Kink, Breather, Multiple Periodic, Hybrid and Half-/Local-Periodic Kink Solutions of a Sharma-Tasso-Olver-Burgers Equation for the Nonlinear Dispersive Waves	3
Multiple Bifurcations in a Discrete Bazykin Predator–Prey Model with Predator Intraspecific Interactions and Ratio-Dependent Functional Response	3
Chaotic Dynamics of a 2D Hyperbolic PDE with the Boundary Conditions of Superlinear Type	3
Dynamical Behavior of a Stochastic Microorganism Flocculation Model with Nonlinear Perturbation	3
Solitary Waves and Periodic Waves in a Perturbed KdV Equation	3
SIR Model with Vaccination: Bifurcation Analysis	3
On Unbounded Motions in a Real Analytic Bouncing ball Problem	3
Periodic Orbits and Global Stability for a Discontinuous SIR Model with Delayed Control	3
Some New Properties of the Mittag-Leffler Functions and Their Applications to Solvability and Stability of a Class of Fractional Langevin Differential Equations	3
Investigating the Existence Results for Hilfer Fractional Stochastic Evolution Inclusions of Order $$1<{\mu }<2$$	3
Liouville Results for Double Phase Problems in $$\mathbb {R}^N$$	3

Dynamics of a Population with Two Equal Dominated Species	3
Existence of Periodic Solutions for the Forced Pendulum Equations of Variable Length	3
Existence for Impulsive Semilinear Functional Differential Inclusions	3
Persistence of Degenerate Lower Dimensional Invariant Tori in Reversible Systems with Bruno Non-degeneracy Conditions	3
Nondegeneracy and Uniqueness of Periodic Solution for a Neutral Differential Equation	3
Bifurcations in a Dynamical Model of the Innate Immune System Response to Initial Pulmonary Infection	3
Existence and Stability of Pseudo Almost Periodic Solutions for a Delayed Multispecies Logarithmic Population Model with Feedback Control	3
Existence of Solutions for a Singular Double Phase Problem Involving a $$\psi $$-Hilfer Fractional Operator Via Nehari Manifold	3
Long-Time Behavior of Non-Autonomous FitzHugh–Nagumo Lattice Systems	3
Global Effect of Non-Conservative Perturbations on Homoclinic Orbits	3