Fractal analysis of canard cycles with two breaking parameters and applications
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Publication:1633426
DOI10.3934/cpaa.2019047zbMath1411.34083OpenAlexW2897461047WikidataQ129036389 ScholiaQ129036389MaRDI QIDQ1633426
Publication date: 20 December 2018
Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/cpaa.2019047
Singular perturbations for ordinary differential equations (34E15) Relaxation oscillations for ordinary differential equations (34C26) Canard solutions to ordinary differential equations (34E17)
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Cites Work
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- Multiplicity of fixed points and growth of \(\varepsilon \)-neighborhoods of orbits
- Classical Liénard equations of degree \(n\geqslant 6\) can have \([\frac{n-1}{2}+2\) limit cycles]
- Chasse au canard
- Box dimension and cyclicity of Canard cycles
- Canard cycles of finite codimension with two breaking parameters
- Slow divergence integrals in classical Liénard equations near centers
- Canard cycles with two breaking parameters
- Slow divergence integral and balanced canard solutions
- Box dimension of trajectories of some discrete dynamical systems
- Time analysis and entry-exit relation near planar turning points
- More limit cycles than expected in Liénard equations
- Canard cycles in the presence of slow dynamics with singularities
- Canard cycles and center manifolds
- Relaxation oscillation and canard explosion