{"product_id":"non-local-methods-for-pendulum-like-feedback-systems-von-volker-reitmann-gennadij-a-leonov-und-vera-b-smirnova","title":"Non-Local Methods for Pendulum-Like Feedback Systems","description":"\u003cp\u003e0 are already deecribed by I. Newton (116]. However it was 250 years later that F. Tricorni (147] carried out the first non-local qualitative investigation of equation (0.1) with arbitrary o ~ 0 and \"'{ ~ 0. It was proved by F. Tricorni that any solution of (0.1) with o \u0026gt; 0 corresponds either to a rotatory motion or to a damped oscillatory motion. Moreover, he showed that in the non-trivial case \"'! :::; 1 there exists a bifurcation value ocr(\"'!) corresponding to a separatrix-loop, i.e. to a double-asymptotic to a saddle-point trajectory. For o \u0026lt; ocr(\"'!) equation (0.1) admits damped oscillations as weil as rotatory motions. For o \u0026gt; ocr(\"'') global asymptotic stability takes place, i.e. every motion is a damped oscillation. The papers of F. Tricorni became familiar immediately.\u003c\/p\u003e\u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9783663122623\"\u003e\u003ch3\u003e\u003c\/h3\u003e\u003c\/div\u003e","brand":"Autorenwelt Shop","offers":[{"title":"Softcover - 9783663122623","offer_id":49592923717957,"sku":"9783663122623","price":34.99,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/4a5be505-ef47-4dd9-a672-ce6977a921fb.jpg?v=1755838907","url":"https:\/\/shop.autorenwelt.de\/products\/non-local-methods-for-pendulum-like-feedback-systems-von-volker-reitmann-gennadij-a-leonov-und-vera-b-smirnova","provider":"Autorenwelt Shop","version":"1.0","type":"link"}