Heteroclinic and Periodic Cycles in a Perturbed Convection Model
Copyright policy )Heteroclinic and Periodic Cycles in a Perturbed Convection Model
The authors study a singular perturbation of a system investigated by \textit{J. Guckenheimer} and \textit{P. Holmes} [Math. Proc. Camb. Philos. Soc. 103, No. 1, 189-192 (1988; Zbl 0645.58022)]. They apply a new type of Melnikov function to prove the existence of singular heteroclinic solutions.
- NORTH CAROLINA STATE UNIVERSITY United States
- North Carolina Agricultural and Technical State University United States
- Massachusetts Institute of Technology United States
- South Carolina State University United States
- National Autonomous University of Mexico Mexico
dynamo process, existence, relay non-linearity, Homoclinic and heteroclinic solutions to ordinary differential equations, singular heteroclinic solutions, Melnikov's method, singular perturbations, heteroclinic bifurcations, Analysis, symmetry, Singular perturbations of ordinary differential equations
dynamo process, existence, relay non-linearity, Homoclinic and heteroclinic solutions to ordinary differential equations, singular heteroclinic solutions, Melnikov's method, singular perturbations, heteroclinic bifurcations, Analysis, symmetry, Singular perturbations of ordinary differential equations
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