SOME BIFURCATION DIAGRAMS FOR LIMIT CYCLES OF QUADRATIC DIFFERENTIAL SYSTEMS
From MaRDI portal
Publication:5474161
DOI10.1142/S0218127401002079zbMath1090.37558MaRDI QIDQ5474161
Kwok Wai Chung, H. S. Y. Chan, Dongwen Qi
Publication date: 23 June 2006
Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)
Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Computational methods for bifurcation problems in dynamical systems (37M20) Numerical bifurcation problems (65P30)
Related Items
Dynamics for a class of nonlinear systems with time delay, BIFURCATION OF MULTIPLE LIMIT CYCLES FOR A ROTOR-ACTIVE MAGNETIC BEARINGS SYSTEM WITH TIME-VARYING STIFFNESS, Some lower bounds for \(H(n)\) in Hilbert's 16th problem, HILBERT'S 16TH PROBLEM AND BIFURCATIONS OF PLANAR POLYNOMIAL VECTOR FIELDS, Analysis on bifurcations of multiple limit cycles for a parametrically and externally excited mechanical system, BIFURCATION FOR DYNAMICAL SYSTEMS OF PLANET–BELT INTERACTION, BIFURCATIONS OF LIMIT CYCLES IN A Z3-EQUIVARIANT VECTOR FIELD OF DEGREE 5, INVESTIGATIONS OF BIFURCATIONS OF LIMIT CYCLES IN Z2-EQUIVARIANT PLANAR VECTOR FIELDS OF DEGREE 5, A perturbation-incremental scheme for studying Hopf bifurcation in delayed differential systems, Effects of time delayed position feedback on a van der Pol-Duffing oscillator
Cites Work
- Limit cycles of quadratic systems in the plane
- A perturbation-incremental method for strongly nonlinear oscillators
- STABILITY AND BIFURCATIONS OF LIMIT CYCLES BY THE PERTURBATION–INCREMENTAL METHOD
- NUMERICAL ANALYSIS AND CONTROL OF BIFURCATION PROBLEMS (I): BIFURCATION IN FINITE DIMENSIONS
- NUMERICAL ANALYSIS AND CONTROL OF BIFURCATION PROBLEMS (II): BIFURCATION IN INFINITE DIMENSIONS
- On the nonexistence, existence and uniqueness of limit cycles
- Hilbert's 16th problem for quadratic systems and cyclicity of elementary graphics
- Nonperturbative (but approximate) method for solving differential equations and finding limit cycles
- Computation and parametrization of periodic and connecting orbits
- On hereditarily indecomposable Banach spaces
