Mechanical manipulation for a class of differential systems

DOI10.1016/S0747-7171(08)80127-7zbMath0745.93067MaRDI QIDQ1186742

Dongming Wang

Publication date: 28 June 1992

Published in: Journal of Symbolic Computation (Search for Journal in Brave)

zbMATH Keywords

limit cyclesLyapunov functionscubic systems

Mathematics Subject Classification ID

Lyapunov and storage functions (93D30)

Related Items (18)

Solution of center-focus problem for a class of cubic systems ⋮ Bifurcation Analysis for a Class of Cubic Switching Systems ⋮ Bounding the number of limit cycles for parametric Liénard systems using symbolic computation methods ⋮ An algorithmic approach to small limit cycles of nonlinear differential systems: the averaging method revisited ⋮ Using Symbolic Computation to Analyze Zero-Hopf Bifurcations of Polynomial Differential Systems ⋮ Limits of theory sequences over algebraically closed fields and applications. ⋮ The equivalence between singular point quantities and Liapunov constants on center manifold ⋮ A class of cubic systems with two centers or two foci ⋮ Bounding the number of limit cycles for a polynomial Liénard system by using regular chains ⋮ A hybrid symbolic-numerical approach to the center-focus problem ⋮ Algebraic analysis of stability and bifurcation of a self-assembling micelle system ⋮ Computation of invariant curves and identifying the type of critical point ⋮ Algebraic Analysis of Bifurcation and Limit Cycles for Biological Systems ⋮ Limit cycles for a discontinuous quintic polynomial differential system ⋮ Polynomial systems from certain differential equations ⋮ Bifurcation of Limit Cycles from the Center of a Quintic System via the Averaging Method ⋮ Symbolic computation for the qualitative theory of differential equations ⋮ LIMIT CYCLES FOR TWO CLASSES OF PLANAR POLYNOMIAL DIFFERENTIAL SYSTEMS WITH UNIFORM ISOCHRONOUS CENTERS

Cites Work

• REDUCE and the bifurcation of limit cycles
• A class of cubic differential systems with 6-tuple focus
• Basic principles of mechanical theorem proving in elementary geometries
• Some cubic systems with several limit cycles
• On the conditions of Kukles for the existence of a Centre
• On the number of limit cycles of the equation \frac{𝑑𝑦}𝑑𝑥=\frac{𝑃(𝑥,𝑦)}𝑄(𝑥,𝑦)’ where 𝑃 and 𝑄 are polynomials of the second degree
• On the number of limit cycles of the equation \frac{𝑑𝑦}𝑑𝑥=\frac{𝑃(𝑥,𝑦)}𝑄(𝑥,𝑦), where 𝑃 and 𝑄 are polynomials
• The number of limit cycles of certain polynomial differential equations
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