RELAXATION OSCILLATIONS IN SINGULARLY PERTURBED GENERALIZED LIENARD SYSTEMS WITH NON-GENERIC TURNING POINTS
DOI10.3846/13926292.2017.1315344zbMath1488.34254OpenAlexW2616478821MaRDI QIDQ5015461
Zhonghui Ou, Huan Hu, Jianhe Shen, Zheyan Zhou
Publication date: 8 December 2021
Published in: Mathematical Modelling and Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3846/13926292.2017.1315344
singular perturbationrelaxation oscillationcanardgeneralized Liénard systemnon-generic turning point
Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Bifurcation theory for ordinary differential equations (34C23) Population dynamics (general) (92D25) Singular perturbations, turning point theory, WKB methods for ordinary differential equations (34E20) Singular perturbations for ordinary differential equations (34E15) Asymptotic expansions of solutions to ordinary differential equations (34E05) Relaxation oscillations for ordinary differential equations (34C26) Canard solutions to ordinary differential equations (34E17)
Related Items (1)
Cites Work
- Unnamed Item
- Canard limit cycles and global dynamics in a singularly perturbed predator-prey system with non-monotonic functional response
- Small-amplitude limit cycles of polynomial Liénard systems
- Classical Liénard equations of degree \(n\geqslant 6\) can have \([\frac{n-1}{2}+2\) limit cycles]
- Canard cycles for predator-prey systems with Holling types of functional response
- Chasse au canard
- Bifurcation of relaxation oscillations in dimension two
- Relaxation oscillation profile of limit cycle in predator-prey system
- Canard solutions of two-dimensional singularly perturbed systems
- Asymptotic expansions using blow-up
- Relaxation oscillations in a class of predator-prey systems.
- New lower bounds for the Hilbert number of polynomial systems of Liénard type
- Planar canards with transcritical intersections
- Putting a boundary to the space of Liénard equations
- Slow divergence integral and balanced canard solutions
- Qualitative theory of planar differential systems
- Extending Geometric Singular Perturbation Theory to Nonhyperbolic Points---Fold and Canard Points in Two Dimensions
- More limit cycles than expected in Liénard equations
- Relaxation oscillations including a standard chase on French ducks
- Duck solutions: A new kind of bifurcation phenomenon in relaxation oscillations
- Canard cycles and center manifolds
This page was built for publication: RELAXATION OSCILLATIONS IN SINGULARLY PERTURBED GENERALIZED LIENARD SYSTEMS WITH NON-GENERIC TURNING POINTS