{"product_id":"duffings-strange-attractor-plate-082-physics-poster","title":"Duffing's Strange Attractor – Plate 082 Physics Poster","description":"\u003cp\u003ePlate 82 speaks for itself: \u003cem\u003e“Pushed in rhythm, it answers in chaos.”\u003c\/em\u003e\u003c\/p\u003e\u003ch3\u003eThe Physics\u003c\/h3\u003e\u003cp\u003eA damped oscillator with a cubic spring, driven periodically, can settle onto a strange attractor. Sampled once per drive period, its motion traces a fractal Poincaré section.\u003c\/p\u003e\u003cp\u003e\u003cstrong\u003ex″ + 0.05 x′ + x³ = 7.5 cos t\u003c\/strong\u003e\u003c\/p\u003e\u003cul\u003e\n\u003cli\u003ex: displacement (dimensionless units)\u003c\/li\u003e\n\u003cli\u003ex′, x″: first and second time derivatives\u003c\/li\u003e\n\u003cli\u003et: dimensionless time\u003c\/li\u003e\n\u003c\/ul\u003e\u003cp\u003eUeda's parameters. The Poincaré section is a fractal.\u003c\/p\u003e\u003ch3\u003eSources\u003c\/h3\u003e\u003cul\u003e\u003cli\u003eY. Ueda, J. Stat. Phys. 20, 181 (1979).\u003c\/li\u003e\u003c\/ul\u003e\u003ch3\u003eOn the poster\u003c\/h3\u003e\u003cp\u003ePlate 082, “Duffing's Strange Attractor”: the pixel-art plate with its slogan “Pushed in rhythm, it answers in chaos.”, the key equation and the facts panel shown above. Pixelated Physics. Physics. Personified.\u003c\/p\u003e","brand":"Printify","offers":[{"title":"9'' x 12\" (Vertical) \/ Matte","offer_id":50962686541927,"sku":"28830735448342125842","price":19.99,"currency_code":"USD","in_stock":true},{"title":"9'' x 12\" (Vertical) \/ Fine Art","offer_id":50962686574695,"sku":"25783967443745020578","price":29.99,"currency_code":"USD","in_stock":true},{"title":"9'' x 12\" (Vertical) \/ Semi Glossy","offer_id":50962686607463,"sku":"77447577501456132724","price":19.99,"currency_code":"USD","in_stock":true},{"title":"18″ x 24″ (Vertical) \/ Fine Art","offer_id":50962686640231,"sku":"14837793530587148832","price":44.99,"currency_code":"USD","in_stock":true},{"title":"18″ x 24″ (Vertical) \/ Semi Glossy","offer_id":50962686672999,"sku":"60563947028678390387","price":29.99,"currency_code":"USD","in_stock":true},{"title":"18″ x 24″ (Vertical) \/ Matte","offer_id":50962686705767,"sku":"61734275233680502863","price":29.99,"currency_code":"USD","in_stock":true},{"title":"36'' x 48\" (Vertical) \/ Matte","offer_id":50962686738535,"sku":"22675118080055239959","price":69.99,"currency_code":"USD","in_stock":true},{"title":"36'' x 48\" (Vertical) \/ Fine Art","offer_id":50962686771303,"sku":"62910533196496141701","price":119.99,"currency_code":"USD","in_stock":true},{"title":"36'' x 48\" (Vertical) \/ Semi Glossy","offer_id":50962686804071,"sku":"30945390649008915956","price":69.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0596\/8746\/9159\/files\/10284508228044132210_2048.jpg?v=1793636810","url":"https:\/\/pixelatedphysics.com\/de\/products\/duffings-strange-attractor-plate-082-physics-poster","provider":"Pixelated Physics","version":"1.0","type":"link"}