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	70
Considering the Shallow Water of a Wide Channel or an Open Sea Through a Generalized (2+1)-dimensional Dispersive Long-wave System	55
Symbolically Computing the Shallow Water via a (2+1)-Dimensional Generalized Modified Dispersive Water-Wave System: Similarity Reductions, Scaling and Hetero-Bäcklund Transformations	36
Auto-Bäcklund Transformation with the Solitons and Similarity Reductions for a Generalized Nonlinear Shallow Water Wave Equation	34
In the Shallow Water: Auto-Bäcklund, Hetero-Bäcklund and Scaling Transformations via a (2+1)-Dimensional Generalized Broer-Kaup System	34
Dynamical Behavior of Traveling Wave Solutions for a (2+1)-Dimensional Bogoyavlenskii Coupled System	32
A new (3+1)-dimensional Sakovich equation in nonlinear wave motion: Painlevé integrability, multiple solitons and soliton molecules	26
Hetero-Bäcklund Transformation, Bilinear Forms and N Solitons for a Generalized Three-Coupled Korteweg-de Vries System	23
Quaternion-Valued Linear Impulsive Differential Equations	20
Auto-Bäcklund Transformation, Similarity Reductions and Solitons of an Extended ($$2+1$$)-Dimensional Coupled Burgers System in Fluid Mechanics	19
N-Lump Solutions to a (3+1)-Dimensional Variable-Coefficient Generalized Nonlinear Wave Equation in a Liquid with Gas Bubbles	19
Stability and Hopf Bifurcation Analysis for a Two-Species Commensalism System with Delay	18
A Discrete-Time Model for Consumer–Resource Interaction with Stability, Bifurcation and Chaos Control	17
Well-Posedness of Inverse Sturm–Liouville Problem with Fractional Derivative	17
Magnetooptic Studies on a Ferromagnetic Material via an Extended (3+1)-Dimensional Variable-Coefficient Modified Kadomtsev-Petviashvili System	16
Fibonacci Wavelet Collocation Method for Fredholm Integral Equations of Second Kind	16
On the Stability of Linear Quaternion-Valued Differential Equations	16
Bilinear Auto-Bäcklund Transformations and Similarity Reductions for a (3+1)-dimensional Generalized Yu-Toda-Sasa-Fukuyama System in Fluid Mechanics and Lattice Dynamics	15
Existence Results and Ulam–Hyers Stability for a Fully Coupled System of Nonlinear Sequential Hilfer Fractional Differential Equations and Integro-Multistrip-Multipoint Boundary Conditions	15
Hyers–Ulam Stability for a Coupled System of Fractional Differential Equation With p-Laplacian Operator Having Integral Boundary Conditions	15
Compact Almost Automorphic Function on Time Scales and Its Application	15
Breather Wave Solutions for the (3+1)-D Generalized Shallow Water Wave Equation with Variable Coefficients	14
Qualitative Investigation of Nonlinear Fractional Coupled Pantograph Impulsive Differential Equations	14
Qualitative and Bifurcation Analysis in a Leslie-Gower Model with Allee Effect	14
The Dynamical Behavior Analysis and the Traveling Wave Solutions of the Stochastic Sasa–Satsuma Equation	14

Dynamics of a Family of Meromorphic Functions with Two Essential Singularities Which Are Not Omitted Values	14
Lie Symmetries and Dynamical Behavior of Soliton Solutions of KP-BBM Equation	13
Bilinear Form, Bilinear Bäcklund Transformations, Breather and Periodic-Wave Solutions for a (2+1)-Dimensional Shallow Water Equation with the Time-Dependent Coefficients	13
Investigation on the Single and Multiple Dromions for Nonlinear Telegraph Equation in Electrical Transmission Line	13
Puiseux Integrability of Differential Equations	12
Interaction Behaviors Between Solitons, Breathers and Their Hybrid Forms for a Short Pulse Equation	12
Noninstantaneous Impulsive Conformable Fractional Stochastic Delay Integro-Differential System with Rosenblatt Process and Control Function	12
Characterizing Quadratic Convection and Electromagnetically Induced Flow of Couple Stress Fluids in Microchannels	12
Existence Theory and Ulam’s Stabilities of Fractional Langevin Equation	12
Nonlinear Dynamical Analysis and Optimal Control Strategies for a New Rumor Spreading Model with Comprehensive Interventions	12
Asymptotic and Oscillatory Behaviour of Third Order Non-linear Differential Equations with Canonical Operator and Mixed Neutral Terms	11
New Solitary Wave Solutions and Dynamical Behaviors of the Nonlinear Fractional Zakharov System	11
Modeling Wave Propagation with Gravity and Surface Tension: Soliton Solutions for the Generalized Hietarinta-Type Equation	11
Bielecki–Ulam’s Types Stability Analysis of Hammerstein and Mixed Integro–Dynamic Systems of Non–Linear Form with Instantaneous Impulses on Time Scales	11
Soliton Solutions and Other Solutions to the (4+1)-Dimensional Davey–Stewartson–Kadomtsev–Petviashvili Equation using Modified Extended Mapping Method	10
Qualitative Analysis of the Dynamic for the Nonlinear Korteweg–de Vries Equation with a Boundary Memory	10
An Analysis Regarding to Approximate Controllability for Hilfer Fractional Neutral Evolution Hemivariational Inequality	10
Limit Cycles in the Discontinuous Planar Piecewise Linear Systems with Three Zones	10
Exact Controllability of Hilfer Fractional Differential System with Non-instantaneous Impluleses and State Dependent Delay	10
Dynamical Analysis of a Discrete Amensalism System with the Beddington–DeAngelis Functional Response and Allee Effect for the Unaffected Species	10
An Explication of Finite-Time Stability for Fractional Delay Model with Neutral Impulsive Conditions	10
Ground State Sign-Changing Solution for Schrödinger-Poisson System with Critical Growth	9
Travelling Wave Solutions of the General Regularized Long Wave Equation	9
Discussion on the Approximate Controllability of Nonlocal Fractional Derivative by Mittag-Leffler Kernel to Stochastic Differential Systems	9
A Note on the Existence and Controllability Results for Fractional Integrodifferential Inclusions of Order $$r \in (1,2]$$ with Impulses	9
Symbolic Computation on a (2+1)-Dimensional Generalized Nonlinear Evolution System in Fluid Dynamics, Plasma Physics, Nonlinear Optics and Quantum Mechanics	9
Analytical Traveling Wave and Soliton Solutions of the $$(2+1)$$ Dimensional Generalized Burgers–Huxley Equation	9
Discussion on Existence of Mild Solutions for Hilfer Fractional Neutral Stochastic Evolution Equations Via Almost Sectorial Operators with Delay	9
Investigation of Controllability and Observability for Linear Quaternion-Valued Systems from Its Complex-Valued Systems	9
Existence and Stability Results for Nonlinear Implicit Random Fractional Integro-Differential Equations	9
Lump Solution, Breather Soliton and More Soliton Solutions for a (2+1)-Dimensional Generalized Benjamin–Ono Equation	8
Existence of Periodic Solutions to Quaternion-Valued Impulsive Differential Equations	8
On the Bielecki–Ulam’s Type Stability Results of First Order Non-linear Impulsive Delay Dynamic Systems on Time Scales	8
On the Oceanic/Laky Shallow-Water Dynamics through a Boussinesq-Burgers System	8
Existence and Multiplicity of Solutions for Fractional $$\kappa (\xi )$$-Kirchhoff-Type Equation	8
Topological Average Shadowing Property on Uniform Spaces	7
Some New Characterizations of Weights in Dynamic Inequalities Involving Monotonic Functions	7
SIR Model with Vaccination: Bifurcation Analysis	7
Lie Symmetries and Exact Solutions of KdV–Burgers Equation with Dissipation in Dusty Plasma	7
Analysis and Applications of Sequential Hybrid $$\psi $$-Hilfer Fractional Differential Equations and Inclusions in Banach Algebra	7
Investigating the Existence Results for Hilfer Fractional Stochastic Evolution Inclusions of Order $$1<{\mu }<2$$	7
On Implicit k-Generalized $$\psi $$-Hilfer Fractional Differential Coupled Systems with Periodic Conditions	7
Traveling Wave Solution of Bad and Good Modified Boussinesq Equations with Conformable Fractional-Order Derivative	7
Controllability Results of Hilfer Fractional Derivative Through Integral Contractors	7
Bifurcation of Limit Cycles by Perturbing a Piecewise Linear Hamiltonian System	7
Transcritical Bifurcation and Flip Bifurcation of a New Discrete Ratio-Dependent Predator-Prey System	7
Dynamic Analysis of Multi-factor Influence on a Holling Type II Predator–Prey Model	7
A New Five-Dimensional Hyperchaotic System with Six Coexisting Attractors	7
Analysis of Q-Fractional Implicit Differential Equation with Nonlocal Riemann–Liouville and Erdélyi-Kober Q-Fractional Integral Conditions	7
A New Approach on the Approximate Controllability Results for Hilfer Fractional Stochastic Hemivariational Inequalities of Order $$1<\mu <2$$	7

Stability Analysis of Second Order Impulsive Differential Equations	6
On the Generalized Normal Form of ODE Systems	6
On the Number of Limit Cycles in General Planar Piecewise Linear Differential Systems with Two Zones Having Two Real Equilibria	6
On the Number of the Classes of Topological Conjugacy of Pixton Diffeomorphisms	6
Existence of Solutions for a Singular Double Phase Problem Involving a $$\psi $$-Hilfer Fractional Operator Via Nehari Manifold	6
Existence of Gibbs States and Maximizing Measures on a General One-Dimensional Lattice System with Markovian Structure	6
Polynomial Entropy for Interval Maps and Lap Number	6
Analysis on the Controllability of Hilfer Fractional Neutral Differential Equations with Almost Sectorial Operators and Infinite Delay via Measure of Noncompactness	6
Generalized Fractional Differential Systems with Stieltjes Boundary Conditions	6
Existence and Controllability of a Class of Non-autonomous Nonlinear Evolution Fractional Integrodifferential Equations with Delay	6
On Existence and Continuity Results of Solution for Multi-time Scale Fractional Stochastic Differential Equation	6
Besicovitch Almost Periodic Solutions to Stochastic Dynamic Equations with Delays	6
On a Fractal–Fractional-Based Modeling for Influenza and Its Analytical Results	6
Representation of Solutions to Linear Quaternion Differential Equations With Delay	6
Nonequilibrium in Thermodynamic Formalism: The Second Law, Gases and Information Geometry	6
New Analytic Solutions for Fluid Flow Equations in Higher Dimensions Around an Offshore Structure Describing Bidirectional Wave Surfaces	6
Analysis of Neutral Stochastic Fractional Differential Equations Involving Riemann–Liouville Fractional Derivative with Retarded and Advanced Arguments	6
Hyers-Ulam Stability of Linear Quaternion-Valued Differential Equations with Constant Coefficients via Fourier Transform	6
Approximate Controllability for Hilfer Fractional Stochastic Non-instantaneous Impulsive Differential System with Rosenblatt Process and Poisson Jumps	5
Traveling Wave Solutions of Generalized Dullin–Gottwald–Holm Equation with Parabolic Law Nonlinearity	5
Qualitative Analysis of an HIV/AIDS Model with Treatment and Nonlinear Perturbation	5
Reconstruction of Potential in Discrete Sturm–Liouville Problem	5
Existence and Multiplicity of Mild Solutions for First-Order Hamilton Random Impulsive Differential Equations with Dirichlet Boundary Conditions	5
Results on the Approximate Controllability of Hilfer Type fractional Semilinear Control Systems	5
Second Order Iterative Dynamic Boundary Value Problems with Mixed Derivative Operators with Applications	5
Some New Properties of the Mittag-Leffler Functions and Their Applications to Solvability and Stability of a Class of Fractional Langevin Differential Equations	5
Globally Exponential Stability of Piecewise Pseudo Almost Periodic Solutions for Neutral Differential Equations with Impulses and Delays	5
Approximate Controllability for Mixed Type Non-autonomous Fractional Differential Equations	5
A Quasilinear Predator-Prey Model with Indirect Prey-Taxis	5
Dynamics of Second Order Lattice Systems with Almost Periodic Nonlinear Part	5
Lie–Backlund Symmetry Generators and a Variety of Novel Periodic-Soliton Solutions to the Complex-Mode of Modified Korteweg-de Vries Equation	5
Central Configurations in the Five-Body Problem: Rhombus Plus One	5
Keplerian Orbits Through the Conley–Zehnder Index	5
Positive Periodic Solutions to a Second-Order Singular Differential Equation with Indefinite Weights	5
On a Coupled Impulsive Fractional Integrodifferential System with Hadamard Derivatives	5
Positive Mild Solutions for Damped Elastic Systems with Delay and Nonlocal Conditions in Ordered Banach Space	5
Dynamics of a Discrete-Time Predator–Prey System with Holling II Functional Response	5
New Soliton and Periodic Wave Solutions to the Fractional DGH Equation Describing Water Waves in a Shallow Regime	5
Analysis of Neutral Fractional Differential Equation via the Method of Upper and Lower Solution	5
Dynamics of Predator–Prey Model Based on Fear Effect with Bifurcation Analysis and Chaos Control	5
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	4
Variational Principle of Topological Pressure of Free Semigroup Actions for Subsets	4
Existence and Stability of Solutions to Neutral Conformable Stochastic Functional Differential Equations	4
Bifurcation of Limit Cycles of a Piecewise Smooth Hamiltonian System	4
Topological Classifications for a Class of 2-dimensional Quadratic Mappings and an Application to Iterative Roots	4
An Impulsive Predator–Prey System with Modified Leslie–Gower Functional Response and Diffusion	4
On the Second Lyapunov Method for Quaternionic Differential Equations	4
Perturbed Impulsive Neutral Stochastic Functional Differential Equations	4
Bogdanov–Takens and Hopf Bifurcations Analysis of a Genetic Regulatory Network	4
Phase Portraits of the Discontinuous Planar Piecewise Linear Differential Systems of Focus-Center Type	4
Modelling the Dynamics in a Predator–Prey System with Allee Effects and Anti-predator Behavior	4
Solitons, Breathers and Modulation Instability for a Higher-Order Coupled Nonlinear Schrödinger System for the Ultrashort Optical Pulses in a Nonlinear Medium	4
Efficient Analytical Algorithms to Study Fokas Dynamical Models Involving M-truncated Derivative	4
Spectral Analysis of $$\alpha $$-Semi Periodic 2-Interval Sturm-Liouville Problems	4
Solitons of the $$(1 + 1)$$- and $$(2 + 1)$$-Dimensional Chiral Nonlinear Schrodinger Equations with the Jacobi Elliptical Function Method	4
Lyapunov Functions for Investigating Stability Properties of a Fractional-Order Computer Virus Propagation Model	4
Existence and Asymptotic Behaviour of Solutions for a Quasilinear Schrödinger-Poisson System in $${\mathbb {R}}^3$$	4
Ground State Sign-Changing Solutions for a Kirchhoff Equation with Asymptotically 3-Linear Nonlinearity	4
Hyers–Ulam and Hyers–Ulam–Rassias Stability of First-Order Nonlinear Dynamic Equations	4
Existence for Impulsive Semilinear Functional Differential Inclusions	4
Hyers–Ulam Stability of Linear Recurrence with Constant Coefficients Over the Quaternion Skew Yield	4
Qualitative Results for Nonlinear Integro-Dynamic Equations via Integral Inequalities	4
Phase Portraits of Random Planar Homogeneous Vector Fields	4
Rich Dynamics of Discrete Time-Delayed Moran-Ricker Model	4
Existence of Positive Solutions for the Nonlinear Kirchhoff Type Equations in $${\mathbb {R}}^3$$	4
Wave Profile, Paul-Painlevé Approaches and Phase Plane Analysis to the Generalized (3+1)-Dimensional Shallow Water Wave Model	4
Influence of Fear Effect on Bifurcation Dynamics of Predator-prey System in a Predator-poisoned Environment	4
Discrete Caputo Delta Fractional Economic Cobweb Models	4
Stability and Neimark–Sacker Bifurcation of Certain Mixed Monotone Rational Second-Order Difference Equation	4
Periodic Points of Regular Curve Homeomorphisms	4
Dynamical Behavior of a Stochastic Microorganism Flocculation Model with Nonlinear Perturbation	3
Global Effect of Non-Conservative Perturbations on Homoclinic Orbits	3
Power Series Solutions of Non-linear q-Difference Equations and the Newton–Puiseux Polygon	3
Existence of Periodic Solutions for a Class of Dynamic Equations with Multiple Time Varying Delays on Time Scales	3
Continuous Dependence and Differentiability of Solutions of Second-Order Impulsive Differential Equations on Initial Values and Impulsive Points	3
Liouville Results for Double Phase Problems in $$\mathbb {R}^N$$	3
Some Notes on Topological and Measure-Theoretic Entropy	3
Isochronicity Conditions and Lagrangian Formulations of the Hirota Type Oscillator Equations	3
The Well-Posedness Results of Solutions in Besov-Morrey Spaces for Fractional Rayleigh-Stokes Equations	3
Two Weighted Norm Dynamic Inequalities with Applications on Second Order Half-Linear Dynamic Equations	3

Chaotic Dynamics of a 2D Hyperbolic PDE with the Boundary Conditions of Superlinear Type	3
Understanding Cannibalism Dynamics in Predator–Prey Interactions: Bifurcations and Chaos Control Strategies	3
Linear Stability Conditions for a First Order n-Dimensional Mapping	3
Metric Versus Topological Receptive Entropy of Semigroup Actions	3
A Note on the Stationary Probability Density Function and Covariance Matrix of a Stochastic Chemostat Model with Distributed Delay	3
Spatiotemporal Dynamics in a Diffusive Predator–Prey System with Beddington–DeAngelis Functional Response	3
The Existence of Aubry–Mather sets for the Fermi–Ulam Model	3
On Limit Sets of Monotone Maps on Regular Curves	3
An Investigation on Existence and Optimal Feedback Control for Fractional Neutral Stochastic Evolution Hemivariational Inequalities	3
An Optimal Control Strategy for Antiretroviral Treatment of HIV Infection in Presence of Immunotherapy	3
A Complete Classification on the Center-Focus Problem of a Generalized Cubic Kukles System with a Nilpotent Singular Point	3
Studies on a Three-Field Lattice System: N-Fold Darboux Transformation, Conservation Laws and Analytic Solutions	3
Relative Controllability for Delayed Linear Discrete System with Second-Order Differences	3
Multiple Bifurcations in a Discrete Bazykin Predator–Prey Model with Predator Intraspecific Interactions and Ratio-Dependent Functional Response	3
Bifurcation of Limit Cycles and Isochronous Centers on Center Manifolds for a Class of Cubic Kolmogorov Systems in $${\mathbb {R}}^{3}$$	3
Dynamical Behavior and Wave Speed Perturbations in the (2 + 1) pKP Equation	3
Symmetric Periodic Solutions for the Spatial Maxwell Restricted $$N+1$$-Problem with Manev Potential	3
Mixed Higher-Order Rogue Waves and Solitons for the Coupled Modified Nonlinear Schrödinger Equation	3
Dynamics of Traveling Waves for the Perturbed Generalized KdV Equation	3
Strange Fractal Attractors and Optimal Chaos of Memristor–Memcapacitor via Non-local Differentials	3
Existence and Approximate Controllability Results for the Second-Order Abstract Neutral Differential System with Damping	3
Besicovitch Almost Periodic Solutions to Semilinear Evolution Dynamic Equations with Varying Delay	3
Ulam–Hyers–Rassias Stability of Neutral Functional Integrodifferential Evolution Equations with Non-instantaneous Impulses on an Unbounded Interval	3
Oscillation Properties of Solutions of Second Order Neutral Dynamic Equations of Non-canonical Type on Time Scales	3
A Note Concerning to Optimal Feedback Control for Caputo Fractional Neutral Stochastic Evolution Systems	3
Bifurcation and Dynamic Analyses of Non-monotonic Predator–Prey System with Constant Releasing Rate of Predators	3
On Unbounded Motions in a Real Analytic Bouncing ball Problem	3
Breather and Interaction Solutions for a $$(3+1)$$-Dimensional Generalized Shallow Water Wave Equation	3
Existence of Periodic Solutions for the Forced Pendulum Equations of Variable Length	3
Periodic Wave Solution of the Generalized Burgers–Fisher Equation via Abelian Integral	3
On the Existence of Solitary Wave Solutions for Perturbed Degasperis-Procesi Equation	3
Extended Lie Method for Mixed Fractional Derivatives, Unconventional Invariants and Reduction, Conservation Laws and Acoustic Waves Propagated via Nonlinear Dispersive Equation	3
Bifurcations in a Dynamical Model of the Innate Immune System Response to Initial Pulmonary Infection	3
Persistence of Degenerate Lower Dimensional Invariant Tori in Reversible Systems with Bruno Non-degeneracy Conditions	3
Non–Equivalence Between the Melnikov and the Averaging Methods for Nonsmooth Differential Systems	3
Lie Group Analysis for a (2+1)-dimensional Generalized Modified Dispersive Water-Wave System for the Shallow Water Waves	3
On a System of Sequential Caputo-Type p-Laplacian Fractional BVPs with Stability Analysis	3
Asymptotics of Solution Curves of Kirchhoff Type Elliptic Equations with Logarithmic Kirchhoff Function	3
Phenomenology of an In-host Model of Hepatitis C	3
Global Dynamics of a Piecewise Smooth System with a Fold–Cusp and General Parameters	3
The Cyclicity of a Class of Global Nilpotent Center Under Perturbations of Piecewise Smooth Polynomials with Four $$\hbox {Zones}^*$$	3
The Dynamics on Soliton Molecules and Soliton Bifurcation for an Extended Generalization of Vakhnenko Equation	3
Dynamics of N-Species Cooperation Models with Feedback Controls and Continuous Delays	3