BIFURCATIONS OF LIMIT CYCLES FOR A PERTURBED CUBIC SYSTEM WITH DOUBLE FIGURE EIGHT LOOP
DOI10.1142/S0218127413500673zbMath1270.34089OpenAlexW1998315410MaRDI QIDQ2845196
Hong Zang, Mose O. Tade, Tonghua Zhang
Publication date: 22 August 2013
Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0218127413500673
Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) Stability of solutions to ordinary differential equations (34D20) Perturbations, asymptotics of solutions to ordinary differential equations (34E10) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)
Cites Work
- Melnikov function and limit cycle bifurcation from a nilpotent center
- Mathematical problems for the next century
- Perturbation from a cubic Hamiltonian with three figure eight-loops
- The number and distributions of limit cycles for a class of quintic near-Hamiltonian systems
- On the number of limit cycles which appear by perturbation of separatrix loop of planar vector fields
- HILBERT'S 16TH PROBLEM AND BIFURCATIONS OF PLANAR POLYNOMIAL VECTOR FIELDS
- HOPF BIFURCATION CONTROL USING NONLINEAR FEEDBACK WITH POLYNOMIAL FUNCTIONS
- The simplest normal form of Hopf bifurcation
- ON THE NUMBER AND DISTRIBUTION OF LIMIT CYCLES IN A CUBIC SYSTEM
- Bifurcations of limit cycles from quintic Hamiltonian systems with a double figure eight loop
- Bifurcations of limit cycles from quintic Hamiltonian systems with a double figure eight loop
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