Bifurcations of a Pair of Nonorientable Heteroclinic Cycles
Copyright policy )Bifurcations of a Pair of Nonorientable Heteroclinic Cycles
The authors study some bifurcation problems of a pair of nonorientable heteroclinic cycles of vector fields, which are related to the study of Lorenz equations. The presence of both nonorientable cycles provides \(\Omega\)-explosion. The authors analyze what kinds of bifurcation behaviour happen for a generic two-parameter unfolding of a system with a pair of nonorientable heteroclinic cycles and give symbolic descriptions about the trajectories which stay forever in a sufficiently small neighborhood of the pair of cycles.
- Academia Sinica Taiwan
- Peking University China (People's Republic of)
- Peking University China (People's Republic of)
symbolic sequence, Normal forms for dynamical systems, symbol sequence, product space, nonorientable heteroclinic cycles, Applied Mathematics, Bifurcation problems for finite-dimensional Hamiltonian and Lagrangian systems, Periodic, homoclinic and heteroclinic orbits; variational methods, degree-theoretic methods, Analysis, \(\Omega\)-explosion
symbolic sequence, Normal forms for dynamical systems, symbol sequence, product space, nonorientable heteroclinic cycles, Applied Mathematics, Bifurcation problems for finite-dimensional Hamiltonian and Lagrangian systems, Periodic, homoclinic and heteroclinic orbits; variational methods, degree-theoretic methods, Analysis, \(\Omega\)-explosion
citations This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).0 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!