Simultaneous bifurcation of limit cycles and critical periods
DOI10.1007/s12346-021-00546-xOpenAlexW4200254031MaRDI QIDQ2064121
Joan Torregrosa, Iván Sánchez-Sánchez, Regilene D. S. Oliveira
Publication date: 4 January 2022
Published in: Qualitative Theory of Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s12346-021-00546-x
Periodic solutions to ordinary differential equations (34C25) Bifurcation theory for ordinary differential equations (34C23) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07)
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- Darboux linearization and isochronous centers with a rational first integral
- Asymptotic expansion of the Dulac map and time for unfoldings of hyperbolic saddles: general setting
- A family of isochronous foci with Darboux first integral
- A fast algorithm for proving terminating hypergeometric identities
- Characterizing isochronous points and computing isochronous sections
- On the number of critical points of the period
- The monotonicity of the period function for planar Hamiltonian vector fields
- The method of creative telescoping
- Remark on the number of critical points of the period
- An algebraic approach to the classification of centers in polynomial Liénard systems
- Center problem for several differential equations via Cherkas' method
- Cyclicity of infinite contour around certain reversible quadratic center
- Characterizing isochronous centres by Lie brackets
- Algebraic properties of the Lyapunov and period constants
- Bifurcation of planar vector fields and Hilbert's sixteenth problem
- Stability of certain planar unbounded polycycles
- Limit cycles for rigid cubic systems
- Isochronicity for several classes of Hamiltonian systems
- The monotonicity of period function for the codimension four quadratic system \(Q_4\).
- Criticality via first order development of the period constants
- New lower bounds of the number of critical periods in reversible centers
- Hypergeometric summation. An algorithmic approach to summation and special function identities
- On the period function for a family of complex differential equations
- Qualitative theory of planar differential systems
- Positive solution of one conjecture in the theory of polynomial isochronous centers of Liénard systems
- Bifurcation of critical periods from Pleshkan's isochrones
- The Center and Cyclicity Problems
- A NOTE ON THE CRITICAL PERIODS OF POTENTIAL SYSTEMS
- A note on the period function for certain planar vector fields
- Bifurcation of Critical Periods for Plane Vector Fields
- Isochronous Foci for Analytic Differential Systems
- Characterization of isochronous foci for planar analytic differential systems
- Isochronicity via normal form
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