. "2"^^ . "Optim\u00E1ln\u00ED po \u010D\u00E1stech line\u00E1rn\u00ED aproximace chaotick\u00FDch syst\u00E9m\u016F s polynomi\u00E1ln\u00EDm vektorov\u00FDm polem" . . "2"^^ . "12"^^ . . "34915" . "1" . "Petr\u017Eela, Ji\u0159\u00ED" . "Optim\u00E1ln\u00ED po \u010D\u00E1stech line\u00E1rn\u00ED aproximace chaotick\u00FDch syst\u00E9m\u016F s polynomi\u00E1ln\u00EDm vektorov\u00FDm polem" . "Optim\u00E1ln\u00ED po \u010D\u00E1stech line\u00E1rn\u00ED aproximace chaotick\u00FDch syst\u00E9m\u016F s polynomi\u00E1ln\u00EDm vektorov\u00FDm polem"@cs . "G\u00F6tthans, Tom\u00E1\u0161" . "[D5F8B9717517]" . . . . "Optim\u00E1ln\u00ED po \u010D\u00E1stech line\u00E1rn\u00ED aproximace chaotick\u00FDch syst\u00E9m\u016F s polynomi\u00E1ln\u00EDm vektorov\u00FDm polem"@cs . "Optimal piecewise-linear approximation of chaotic systems with polynomial vector fields"@en . "P(ED2.1.00/03.0072), S" . "Tento \u010Dl\u00E1nek p\u0159in\u00E1\u0161\u00ED mo\u017En\u00E9 \u0159e\u0161en\u00ED ot\u00E1zek t\u00FDkaj\u00EDc\u00EDch se p\u0159esn\u00FDch po \u010D\u00E1stech line\u00E1rn\u00EDch (P\u010CL) aproximac\u00ED komplikovan\u00FDch neline\u00E1rn\u00EDch vektorov\u00FDch pol\u00ED. Navrhovan\u00FD postup m\u016F\u017Ee b\u00FDt ozna\u010Den za univerz\u00E1ln\u00ED, inovativn\u00ED a je zalo\u017Een na vyu\u017Eit\u00ED stochastick\u00E9 optimalizace, konkr\u00E9tn\u011B genetick\u00E9ho algoritmu (GA) kombinovan\u00E9ho s metodou roje \u010D\u00E1stic (R\u010C). J\u00E1drem algoritmu je nalezen\u00ED a aplikace v\u00FDpo\u010Detn\u011B nen\u00E1ro\u010Dn\u00E9ho a p\u0159esn\u00E9ho kvantifik\u00E1toru dynamick\u00E9ho chov\u00E1n\u00ED. Jednotliv\u00E9 v\u00FDhody a nev\u00FDhody p\u0159edstaven\u00E9 procedury jsou detailn\u011B prodiskutov\u00E1ny a kriticky vyhodnoceny. Cel\u00FD navr\u017Een\u00FD algoritmus je ov\u011B\u0159en pomoc\u00ED \u010Dty\u0159 autonomn\u00EDch deterministick\u00FDch dynamick\u00FDch syst\u00E9m\u016F t\u0159et\u00EDho \u0159\u00E1du, kter\u00E9 maj\u00ED re\u00E1ln\u00FD fyzik\u00E1ln\u00ED podklad." . . "Dynamical behavior, piecewise-linear approximation, chaos, vector field"@en . . "Elektrorevue - Internetov\u00FD \u010Dasopis (http://www.elektrorevue.cz)" . . "Optimal piecewise-linear approximation of chaotic systems with polynomial vector fields"@en . "1213-1539" . . . "This paper brings possible answers to the questions about accurate piecewise-linear approximations of the complicated nonlinear vector fields. Suggested method can be marked as universal, inovative and is based on the utilization of stochastic optimization; namely genetic algorithm combined with particle swarm. The core engine is to develop quick-to-calculate but still precise dynamical motion quantifier. The individual advantages and drawbacks are discussed in detail and critically summarized. The correct function of algorithm is proved by means of four autonomous deterministic dynamical systems with real physical background."@en . . . "CZ - \u010Cesk\u00E1 republika" . "16" . . . "26220" . . "RIV/00216305:26220/14:PU108028!RIV15-MSM-26220___" . . . "RIV/00216305:26220/14:PU108028" . "Tento \u010Dl\u00E1nek p\u0159in\u00E1\u0161\u00ED mo\u017En\u00E9 \u0159e\u0161en\u00ED ot\u00E1zek t\u00FDkaj\u00EDc\u00EDch se p\u0159esn\u00FDch po \u010D\u00E1stech line\u00E1rn\u00EDch (P\u010CL) aproximac\u00ED komplikovan\u00FDch neline\u00E1rn\u00EDch vektorov\u00FDch pol\u00ED. Navrhovan\u00FD postup m\u016F\u017Ee b\u00FDt ozna\u010Den za univerz\u00E1ln\u00ED, inovativn\u00ED a je zalo\u017Een na vyu\u017Eit\u00ED stochastick\u00E9 optimalizace, konkr\u00E9tn\u011B genetick\u00E9ho algoritmu (GA) kombinovan\u00E9ho s metodou roje \u010D\u00E1stic (R\u010C). J\u00E1drem algoritmu je nalezen\u00ED a aplikace v\u00FDpo\u010Detn\u011B nen\u00E1ro\u010Dn\u00E9ho a p\u0159esn\u00E9ho kvantifik\u00E1toru dynamick\u00E9ho chov\u00E1n\u00ED. Jednotliv\u00E9 v\u00FDhody a nev\u00FDhody p\u0159edstaven\u00E9 procedury jsou detailn\u011B prodiskutov\u00E1ny a kriticky vyhodnoceny. Cel\u00FD navr\u017Een\u00FD algoritmus je ov\u011B\u0159en pomoc\u00ED \u010Dty\u0159 autonomn\u00EDch deterministick\u00FDch dynamick\u00FDch syst\u00E9m\u016F t\u0159et\u00EDho \u0159\u00E1du, kter\u00E9 maj\u00ED re\u00E1ln\u00FD fyzik\u00E1ln\u00ED podklad."@cs .