Approximations of the Heteroclinic Orbits Near a Double-Zero Bifurcation with Symmetry of Order Two. Application to a Liénard Equation
DOI10.1142/S0218127419500743zbMath1425.34059OpenAlexW2954135163MaRDI QIDQ5225786
Carmen Rocşoreanu, Mihaela Sterpu
Publication date: 23 July 2019
Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0218127419500743
heteroclinic orbitLiénard equationregular perturbation methoddouble-zero bifurcation with symmetry of order two
Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Symmetries, invariants of ordinary differential equations (34C14) Bifurcation theory for ordinary differential equations (34C23) Perturbations of ordinary differential equations (34D10) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)
Uses Software
Cites Work
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- Heteroclinic orbits in the \(T\) and the Lü systems
- Prediction of homoclinic bifurcation: the elliptic averaging method
- Homoclinic connections in strongly self-excited nonlinear oscillators: The Melnikov function and the elliptic Lindstedt-Poincaré method
- Homoclinic and heteroclinic solutions of cubic strongly nonlinear autonomous oscillators by the hyperbolic perturbation method
- Initialization of Homoclinic Solutions near Bogdanov--Takens Points: Lindstedt--Poincaré Compared with Regular Perturbation Method
- On the Heteroclinic Connections in the 1:3 Resonance Problem
- Simulating, Analyzing, and Animating Dynamical Systems
- Improved Homoclinic Predictor for Bogdanov–Takens Bifurcation
- Global study of a family of cubic Liénard equations
- ANALYTICAL APPROXIMATION OF HETEROCLINIC BIFURCATION IN A 1:4 RESONANCE
- Approximations of the Homoclinic Orbits Near a Double-Zero Bifurcation with Symmetry of Order Two
- Elements of applied bifurcation theory
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