The entwined wiggling of homoclinic curves emerging from saddle-node/Hopf instabilities

the effect of traffic density on the accident externality from driving the case study of tehran

در این پژوهش به بررسی اثر افزایش ترافیک بر روی تعداد تصادفات پرداخته شده است. به این منظور 30 تقاطع در شهر تهران بطور تصادفی انتخاب گردید و تعداد تصادفات ماهیانه در این تقاطعات در طول سالهای 89-90 از سازمان کنترل ترافیک شهر تهران استخراج گردید و با استفاده از مدل داده های تابلویی و نرم افزار eviews مدل خطی و درجه دوم تخمین زده شد و در نهایت این نتیجه حاصل شد که تقاطعات پر ترافیک تر تعداد تصادفا...

Periodically Forced Double Homoclinic Loops to a Dissipative Saddle

In this paper we present a comprehensive theory on the dynamics of strange attractors in periodically perturbed second order differential equations assuming that the unperturbed equations have two homoclinic loops to a dissipative saddle fixed point. We prove the existence of many complicated dynamical objects for given equations, ranging from attractive quasi-periodic torus, to Newhouse sinks ...

From Kant to entwined Naturalism

Homoclinic saddle-node bifurcations in singularly perturbed systems

In this paper we study the creation of homoclinic orbits by saddle-node bifurca-tions. Inspired on similar phenomena appearing in the analysis of so-calledìocalized structures' in modulation or amplitude equations, we consider a family of nearly in-tegrable, singularly perturbed three dimensional vector elds with two bifurcation parameters a and b. The O(") perturbation destroys a manifold cons...

A non - transverse homoclinic orbit to a saddle - node equilibrium .

Abst ract A homoclinic orbit is considered for which the center-stable and center-unstable manifolds of a saddle-node equilibrium have a quadratic tangency. This bifurcation is of codimension two and leads generically to the creation of a bifurcation curve deening two independent transverse homoclinic orbits to a saddle-node. This latter case was shown by L.P. Shilnikov to imply shift dynamics....