Deprecated: $wgMWOAuthSharedUserIDs=false is deprecated, set $wgMWOAuthSharedUserIDs=true, $wgMWOAuthSharedUserSource='local' instead [Called from MediaWiki\HookContainer\HookContainer::run in /var/www/html/w/includes/HookContainer/HookContainer.php at line 135] in /var/www/html/w/includes/Debug/MWDebug.php on line 372
scientific article - MaRDI portal

scientific article

From MaRDI portal
Publication:3715459

zbMath0588.34022MaRDI QIDQ3715459

Zhien Ma, Ernian Wang, Suilin Cai, Dingjun Luo, Yan Qian Ye, Mingshu Wang, Kecheng Huang, Xin'an Yang, Lan-Sun Chen

Publication date: 1986


Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.



Related Items

Non-bifurcation of critical periods from semi-hyperbolic polycycles of quadratic centres, Integrability of Liénard systems with a weak saddle, Generating limit cycles from a nilpotent critical point via normal forms, Limit cycles of discontinuous piecewise quadratic and cubic polynomial perturbations of a linear center, More degeneracy but fewer bifurcations in a predator-prey system having fully null linear part, Twenty Hopf-like bifurcations in piecewise-smooth dynamical systems, Multiplicity of limit cycles and analytic \(m\)-solutions for planar differential systems, On the number of limit cycles of a class of Liénard-Rayleigh oscillators, On the determination of the basin of attraction of a periodic orbit in two-dimensional systems, Pathology in the Market Economy: Self-fulfilling Process to Chronic Slump, Generalized invariance principles for discrete-time stochastic dynamical systems, Small-amplitude limit cycles of certain planar differential systems, Global Stability and Canard Explosions of the Predator-Prey Model with the Sigmoid Functional Response, Existence of limit cycles for a class of quartic polynomial differential system depending on parameters, Bifurcation of limit cycles in piecewise quadratic differential systems with an invariant straight line, Integrable weak saddles for trigonometric Liénard systems, Periodic traveling waves with large speed, A new approach for the study of limit cycles, Application of 2D Adaptive Mesh Refinement Method to Estimation of the Center of Vortices for Flow over a Wall-Mounted Plate, Criteria for the nonexistence of periodic orbits in planar differential systems, A survey on local integrability and its regularity, On the upper bound of the criticality of potential systems at the outer boundary using the Roussarie-Ecalle compensator, Probability of existence of limit cycles for a family of planar systems, Bifurcation diagram and global phase portraits of a family of quadratic vector fields in class \(I\), Center conditions to find certain degenerate centers with characteristic directions, On the existence and uniqueness of limit cycles for hybrid oscillators, Classification of Invariant Algebraic Curves and Nonexistence of Algebraic Limit Cycles in Quadratic Systems from Family (I) of the Chinese Classification, Stability and cyclicity of polycycles in non-smooth planar vector fields, Bifurcation of Limit Cycles from a Class of Piecewise Smooth Systems with Two Vertical Straight Lines of Singularity, The center conditions for a Liénard system, Number of limit cycles for planar systems with invariant algebraic curves, On the cubic Kukles systems with an algebraic limit cycle of degree two, On the uniqueness of limit cycles in second-order oscillators, Liouvillian first integrals of quadratic-linear polynomial differential systems, Bifurcation of Limit Cycles in a 12-Degree Hamiltonian System Under Thirteenth-Order Perturbation, EFFECTIVE CONSTRUCTION OF POINCARÉ-BENDIXSON REGIONS, Global-in-time existence of unbounded separatrices and blow-up time of solutions for Liénard systems whose restoring force is an odd power function, Unnamed Item, The sliding bifurcations in planar piecewise smooth differential systems, Inverse Jacobian multipliers and Hopf bifurcation on center manifolds, Unnamed Item, Unnamed Item, Phase portraits of quadratic systems with finite multiplicity one, Boundedness of solutions and existence of limit cycles for a nonlinear system, Bifurcations of Critical Periods for a Class of Quintic Liénard Equation, On the existence and uniqueness of limit cycles in planar continuous piecewise linear systems without symmetry, Piecewise linear differential systems with two real saddles, New lower bounds for the Hilbert numbers using reversible centers, Effectiveness of the Bendixson-Dulac theorem, Qualitative theory of two-dimensional polynomial dynamical systems: Problems, approaches, conjectures, Global analysis of an epidemic model with a constant removal rate, Visualization of four limit cycles of two-dimensional quadratic systems in the parameter space, On an estimate of the number of limit cycles in a quadratic system, Darboux integrability and algebraic limit cycles for a class of polynomial differential systems, On some open problems in planar differential systems and Hilbert's 16th problem, Ergodicity of limit cycles in quadratic systems, Limit Cycles Bifurcating from a Period Annulus in Continuous Piecewise Linear Differential Systems with Three Zones, On the period of the limit cycles appearing in one-parameter bifurcations, On the stability of limit cycles for planar differential systems, An upper bound for the amplitude of limit cycles in Liénard systems with symmetry, Existence of limit cycles and homoclinic bifurcation in a plant-herbivore model with toxin-determined functional response, Bifurcations of limit cycles in a cubic system with cubic perturbations, Non-nested configuration of algebraic limit cycles in quadratic systems, Homoclinic, heteroclinic and periodic orbits of singularly perturbed systems, Algebraic Analysis of Bifurcation and Limit Cycles for Biological Systems, Invariant algebraic curves for the cubic Liénard system with linear damping, Detection function method and its application to a perturbed quintic Hamiltonian system, Traveling waves for a spatial SIRI epidemic model, Asymptotic behavior of periodic solutions in one-parameter families of Liénard equations, Singular points of polynomial Darboux systems, On the uniqueness of limit cycles in a generalized Liénard system, Center conditions of a particular polynomial differential system with a nilpotent singularity, Bifurcations of the limit cycles in a \(z_3\)-equivariant quartic planar vector field, Complete bifurcation diagram and global phase portraits of Liénard differential equations of degree four, Modeling and slipping control of a planar slider, Accuracy Verification of a 2D Adaptive Mesh Refinement Method Using Backward-Facing Step Flow of Low Reynolds Numbers, Partial qualitative analysis of planar 𝓐Q-Riccati equations, Two limit cycles in Liénard piecewise linear differential systems, Inverse Jacobi multipliers, Limit cycles for discontinuous quadratic differential systems with two zones, Uniqueness in Planar Endogenous Business Cycle Theories, Limit cycles in a general two-stroke oscillation, Transversal conics and the existence of limit cycles, On a new type of bifurcation of limit cycles for a planar cubic system, Some Applications of the Extended Bendixson-Dulac Theorem, Sensitivity analysis of a mesh refinement method using the numerical solutions of 2D lid-driven cavity flow, The number and distributions of limit cycles for a class of cubic near-Hamiltonian systems, Existence and uniqueness of limit cycles for generalized \(\phi\)-Laplacian Liénard equations, Bifurcation of limit cycles and separatrix loops in singular Liénard systems, Bifurcations of limit cycles in a cubic system, Bifurcations of limit cycles in a \(Z_6\)-equivariant planar vector field of degree 7, Algebraic limit cycles of degree 4 for quadratic systems, Conditions for polynomial Liénard centers, Backward bifurcation and global dynamics of an SIS epidemic model with general incidence rate and treatment, Adding species to chemical reaction networks: preserving rank preserves nondegenerate behaviours, Host-pathogen dynamics under sterilizing pathogens and fecundity-longevity trade-off in hosts, Uniqueness of limit cycles in Gause-type models of predator-prey systems, On conditions for regularity of solutions for a piecewise linear system, An exponential formula for polynomial vector fields, Perturbations of quadratic Hamiltonian systems with symmetry, The number of limit cycles of cubic Hamiltonian system with perturbation, Global bifurcation of limit cycles in a family of polynomial systems, A criterion for the existence of four limit cycles in quadratic systems, On the location and period of limit cycles in Gause-type predator-prey systems, The linear and nonlinear diffusion of the competitive Lotka-Volterra model, Geometric tools to determine the hyperbolicity of limit cycles, Bifurcation analysis and global dynamics of a mathematical model of antibiotic resistance in hospitals, Bifurcations of limit cycles for a perturbed quintic Hamiltonian system with four infinite singular points, Limit cycles in Kukles systems of arbitrary degree with invariant ellipse, The center problem. A view from the normal form theory, Some criteria for the existence of limit cycles for quadratic vector fields., Limit cycles of cubic polynomial differential systems with rational first integrals of degree 2, The limit cycles of a general Kolmogorov system, Global dynamics of the generalized Lorenz systems having invariant algebraic surfaces, Structurally stable discontinuous vector fields in the plane., Fourteen limit cycles in a cubic Hamiltonian system with nine-order perturbed term., Small-amplitude limit cycles in Liénard systems via multiplicity, Accuracy analysis of an adaptive mesh refinement method using benchmarks of 2-D steady incompressible lid-driven cavity flows and coarser meshes, Accuracy analysis of a mesh refinement method using benchmarks of 2-D lid-driven cavity flows and finer meshes, The periodic solution of a class of epidemic models, The qualitative behavior of a second-order system with zero diagonal coefficient., Necessary conditions for a limit cycle and its basin of attraction., Some lower bounds for \(H(n)\) in Hilbert's 16th problem, Stability of limit cycles in autonomous nonlinear systems, Bifurcations in an epidemic model with constant removal rate of the infectives, Periodic travelling waves in nonlinear reaction-diffusion equations via multiple Hopf bifurcation, Existence of 121 limit cycles in a perturbed planar polynomial Hamiltonian vector field of degree 11, Limit cycles of polynomial differential systems with homogeneous nonlinearities of degree 4 via the averaging method, The global dynamic behavior of the competition model of three species, Uniqueness and non-uniqueness of limit cycles for piecewise linear differential systems with three zones and no symmetry, The business cycle model with a unique stable limit cycle, Intersection with the vertical isocline in the Liénard plane, Approximating the amplitude and form of limit cycles in the weakly nonlinear regime of Liénard systems, Asymptotics and stability of the delayed Duffing equation, Bifurcations and distribution of limit cycles for near-Hamiltonian polynomial systems, The index of impulsive periodic orbits, Accuracy verification of a 2D adaptive mesh refinement method for incompressible or steady flow, Uniqueness and hyperbolicity of limit cycles for autonomous planar systems with zero diagonal coefficient, Analytic tools to bound the criticality at the outer boundary of the period annulus, The closed orbits of a class of cubic vector fields in \(\mathbb{R}^3\), Reconstruction of admissible joint-references from a prescribed output-reference for the non-standard and generalized N-trailers, Bifurcations of limit cycles in a \(Z_{4}\)-equivariant planar polynomial vector field of degree 7, Dynamics of a nonlinear equation modelling the capillary rise, Coexistence of limit cycles and invariant algebraic curves for a Kukles system, Fixed and moving limit cycles for Liénard equations, Bifurcations of limit cycles for a cubic Hamiltonian system under quartic perturbations, On the perturbations of a Hamiltonian system, A note on existence and uniqueness of limit cycles for Liénard systems, Perturbation from a cubic Hamiltonian with three figure eight-loops, On the cyclicity of a 2-polycycle for quadratic systems, Resolution of the Poincaré problem and nonexistence of algebraic limit cycles in family (I) of Chinese classification, The uniqueness of limit cycles for Liénard system, Limit cycles of a class of Hilbert's sixteenth problem presented by fractional differential equations, Perturbation from an asymmetric cubic Hamiltonian, Poincaré bifurcation of a three-dimensional system, Limit cycles in a general Kolmogorov model, Quadratic slow-fast systems on the plane, Detection function method and its application to a class of quintic Hamiltonian systems with quintic perturbations, Intersection with the vertical isocline in the generalized Liénard equations, Global phase portraits and bifurcation diagrams for reversible equivariant Hamiltonian systems of linear plus quartic homogeneous polynomials, The estimate of the amplitude of limit cycles of symmetric Liénard systems, Numerical computation of connecting orbits in planar piecewise smooth dynamical system, Invariant curves and integrability of planar \(\mathcal C^r\) differential systems, Self-oscillation, Strategic new product pricing when demand obeys saturation effects, Analysis of global bifurcation for a class of systems of degree five, On global asymptotic stability of systems of Liénard type, Two types of limit cycles of a resonant converter modelled by a three-dimensional system, On Hopf cyclicity of planar systems, Global behavior of limit cycles in rotated vector fields, The limit cycles of Liénard equations in the strongly nonlinear regime, Traveling pulses in a coupled FitzHugh-Nagumo equation, Optimal harvesting of an abstract population model with interval biological parameters, Local bifurcations and a survey of bounded quadratic systems, The classification of the dynamical behavior of 3-dimensional type K monotone Lotka-Volterra systems, Existence and uniqueness of limit cycles in an enzyme-catalysed reaction system., Traveling waves and their spectral stability in Keller-Segel system with large cell diffusion, Global phase portraits of quadratic polynomial differential systems having as solution some classical planar algebraic curves of degree 6, Integrability and non-existence of periodic orbits for a class of Kolmogorov systems, A new criterion for controlling the number of limit cycles of some generalized Liénard equations, Crossing limit cycles for discontinuous piecewise differential systems formed by linear Hamiltonian saddles or linear centers separated by a conic, Dynamical behavior of an epidemic model with a nonlinear incidence rate, The number of limit cycles for a family of polynomial systems, On the qualitative behavior of a class of generalized Liénard planar systems, On the stability of double homoclinic and heteroclinic cycles., Algebraic and topological classification of homogeneous quartic vector fields in the plane