Snakes: Oriented families of periodic orbits, their sources, sinks, and continuation
نویسندگان
چکیده
منابع مشابه
Numerical Continuation of Hamiltonian Relative Periodic Orbits
The bifurcation theory and numerics of periodic orbits of general dynamical systems is well developed, and in recent years there has been rapid progress in the development of a bifurcation theory for dynamical systems with structure, such as symmetry or symplecticity. But as yet there are few results on the numerical computation of those bifurcations. The methods we present in this paper are a ...
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The bifurcation theory and numerics of periodic orbits of general dynamical systems is well developed, and in recent years there has been rapid progress in the development of a bifurcation theory for symmetric dynamical systems. But there are hardly any results on the numerical computation of those bifurcations yet. In this paper we show how spatiotemporal symmetries of periodic orbits can be e...
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A methodology to track bifurcations of periodic orbits in large-scale dissipative systems depending on two parameters is presented. It is based on the application of iterative Newton–Krylov techniques to extended systems. To evaluate the action of the Jacobian it is necessary to integrate variational equations up to second order. It is shown that this is possible by integrating systems of dimen...
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ژورنال
عنوان ژورنال: Journal of Differential Equations
سال: 1982
ISSN: 0022-0396
DOI: 10.1016/0022-0396(82)90085-7