From 352ffcb03fa267e5533c9629897756fd25d9e444 Mon Sep 17 00:00:00 2001 From: Fabrizio Musacchio Date: Sun, 24 Mar 2024 12:26:35 +0100 Subject: [PATCH] Added new scripts on the Van der Pol oscillator --- ...ol_oscillator_lienard_z_0.0_0.0_mu_1.0.png | Bin 0 -> 254158 bytes ..._pol_oscillator_lienard_z_0.0_0.0_mu_1.png | Bin 0 -> 254199 bytes ...ol_oscillator_lienard_z_0.0_0.5_mu_1.0.png | Bin 0 -> 256231 bytes ..._pol_oscillator_lienard_z_0.0_0.5_mu_1.png | Bin 0 -> 256290 bytes ...l_oscillator_lienard_z_1.0_0.0_mu_-1.0.png | Bin 0 -> 253000 bytes ...l_oscillator_lienard_z_1.0_0.0_mu_-4.0.png | Bin 0 -> 165814 bytes ...ol_oscillator_lienard_z_1.0_0.0_mu_1.0.png | Bin 0 -> 255655 bytes ..._pol_oscillator_lienard_z_1.0_0.0_mu_1.png | Bin 0 -> 252140 bytes ..._oscillator_lienard_z_2.0_0.0_mu_-0.25.png | Bin 0 -> 320338 bytes ...l_oscillator_lienard_z_2.0_0.0_mu_-1.0.png | Bin 0 -> 253884 bytes ...l_oscillator_lienard_z_2.0_0.0_mu_0.25.png | Bin 0 -> 307951 bytes ...ol_oscillator_lienard_z_2.0_0.0_mu_0.5.png | Bin 0 -> 325474 bytes ..._pol_oscillator_lienard_z_2.0_0.0_mu_1.png | Bin 0 -> 254608 bytes ..._pol_oscillator_lienard_z_2.0_0.0_mu_2.png | Bin 0 -> 204453 bytes ..._pol_oscillator_lienard_z_2.0_0.0_mu_4.png | Bin 0 -> 166740 bytes ..._pol_oscillator_lienard_z_2.0_0.0_mu_8.png | Bin 0 -> 143246 bytes ...l_oscillator_lienard_z_4.0_-4.0_mu_1.0.png | Bin 0 -> 255409 bytes ...pol_oscillator_lienard_z_4.0_-4.0_mu_1.png | Bin 0 -> 255347 bytes ...ol_oscillator_lienard_z_4.0_0.0_mu_1.0.png | Bin 0 -> 255425 bytes ..._pol_oscillator_lienard_z_4.0_0.0_mu_1.png | Bin 0 -> 255450 bytes ...n_der_pol_oscillator_z_-2.25_0_mu_-2.0.png | Bin 0 -> 64108 bytes .../van_der_pol_oscillator_z_-3_0_mu_-2.png | Bin 0 -> 60063 bytes .../van_der_pol_oscillator_z_-7_1_mu_1.png | Bin 0 -> 239795 bytes .../van_der_pol_oscillator_z_-8_0_mu_1.png | Bin 0 -> 68589 bytes ..._der_pol_oscillator_z_0.001_0.001_mu_2.png | Bin 0 -> 70239 bytes ...an_der_pol_oscillator_z_0.01_0.01_mu_2.png | Bin 0 -> 70591 bytes .../van_der_pol_oscillator_z_0.01_0_mu_1.png | Bin 0 -> 242016 bytes .../van_der_pol_oscillator_z_0.01_1_mu_1.png | Bin 0 -> 240475 bytes .../van_der_pol_oscillator_z_0.1_0.1_mu_2.png | Bin 0 -> 70245 bytes .../van_der_pol_oscillator_z_0.1_0_mu_2.png | Bin 0 -> 69371 bytes .../van_der_pol_oscillator_z_0.4_0_mu_0.0.png | Bin 0 -> 505720 bytes .../van_der_pol_oscillator_z_0.4_0_mu_0.3.png | Bin 0 -> 455791 bytes .../van_der_pol_oscillator_z_0.4_0_mu_1.png | Bin 0 -> 391488 bytes .../van_der_pol_oscillator_z_0.4_0_mu_3.png | Bin 0 -> 327953 bytes ...cillator_z_0.5_0.6666666666666666_mu_1.png | Bin 0 -> 240427 bytes .../van_der_pol_oscillator_z_0.5_0_mu_1.png | Bin 0 -> 240979 bytes ...cillator_z_0.85_3.063063063063062_mu_1.png | Bin 0 -> 239688 bytes .../van_der_pol_oscillator_z_0.85_4_mu_1.png | Bin 0 -> 241032 bytes .../van_der_pol_oscillator_z_0.8_4_mu_1.png | Bin 0 -> 240670 bytes .../van_der_pol_oscillator_z_0.95_4_mu_1.png | Bin 0 -> 240814 bytes .../van_der_pol_oscillator_z_0.9_4_mu_1.png | Bin 0 -> 240564 bytes .../van_der_pol_oscillator_z_0_2_mu_-0.5.png | Bin 0 -> 257153 bytes .../van_der_pol_oscillator_z_0_4_mu_-0.5.png | Bin 0 -> 254902 bytes figures/van_der_pol_oscillator_z_0_4_mu_1.png | Bin 0 -> 240403 bytes ...llator_z_1.01_-50.248756218905456_mu_1.png | Bin 0 -> 240473 bytes .../van_der_pol_oscillator_z_1.5_0_mu_-2.png | Bin 0 -> 63453 bytes ...van_der_pol_oscillator_z_10_0.001_mu_0.png | Bin 0 -> 98777 bytes ...van_der_pol_oscillator_z_10_0.001_mu_2.png | Bin 0 -> 70630 bytes .../van_der_pol_oscillator_z_1_0_mu_-0.01.png | Bin 0 -> 99186 bytes .../van_der_pol_oscillator_z_1_0_mu_-0.1.png | Bin 0 -> 85533 bytes .../van_der_pol_oscillator_z_1_0_mu_-1.png | Bin 0 -> 63321 bytes .../van_der_pol_oscillator_z_1_0_mu_-2.png | Bin 0 -> 197873 bytes figures/van_der_pol_oscillator_z_1_0_mu_1.png | Bin 0 -> 392167 bytes figures/van_der_pol_oscillator_z_1_0_mu_8.png | Bin 0 -> 141174 bytes figures/van_der_pol_oscillator_z_1_4_mu_1.png | Bin 0 -> 239921 bytes ...llator_z_2.01_-0.6611624617611265_mu_1.png | Bin 0 -> 238023 bytes .../van_der_pol_oscillator_z_2.0_1_mu_1.png | Bin 0 -> 239226 bytes ...an_der_pol_oscillator_z_2.15_0_mu_-2.0.png | Bin 0 -> 65263 bytes ...n_der_pol_oscillator_z_2.25_0_mu_-0.01.png | Bin 0 -> 107072 bytes ...an_der_pol_oscillator_z_2.25_0_mu_-0.1.png | Bin 0 -> 57434 bytes ...an_der_pol_oscillator_z_2.25_0_mu_-1.0.png | Bin 0 -> 62407 bytes .../van_der_pol_oscillator_z_2.25_0_mu_-1.png | Bin 0 -> 61937 bytes ...an_der_pol_oscillator_z_2.25_0_mu_-2.0.png | Bin 0 -> 217848 bytes .../van_der_pol_oscillator_z_2.25_0_mu_-2.png | Bin 0 -> 218424 bytes ...van_der_pol_oscillator_z_2.25_0_mu_4.0.png | Bin 0 -> 146082 bytes ...an_der_pol_oscillator_z_2.25_2_mu_-2.0.png | Bin 0 -> 61388 bytes .../van_der_pol_oscillator_z_2.5_0_mu_-2.png | Bin 0 -> 62031 bytes .../van_der_pol_oscillator_z_2.5_0_mu_1.png | Bin 0 -> 239753 bytes .../van_der_pol_oscillator_z_2_0_mu_-0.1.png | Bin 0 -> 245275 bytes .../van_der_pol_oscillator_z_2_0_mu_-0.3.png | Bin 0 -> 46310 bytes .../van_der_pol_oscillator_z_2_0_mu_-0.5.png | Bin 0 -> 259033 bytes .../van_der_pol_oscillator_z_2_0_mu_-1.png | Bin 0 -> 249106 bytes .../van_der_pol_oscillator_z_2_0_mu_-2.png | Bin 0 -> 198015 bytes .../van_der_pol_oscillator_z_2_0_mu_0.0.png | Bin 0 -> 504254 bytes ...van_der_pol_oscillator_z_2_0_mu_0.0001.png | Bin 0 -> 63248 bytes .../van_der_pol_oscillator_z_2_0_mu_0.01.png | Bin 0 -> 269852 bytes .../van_der_pol_oscillator_z_2_0_mu_0.05.png | Bin 0 -> 271178 bytes .../van_der_pol_oscillator_z_2_0_mu_0.1.png | Bin 0 -> 261550 bytes figures/van_der_pol_oscillator_z_2_0_mu_0.png | Bin 0 -> 267770 bytes .../van_der_pol_oscillator_z_2_0_mu_1.0.png | Bin 0 -> 250147 bytes figures/van_der_pol_oscillator_z_2_0_mu_1.png | Bin 0 -> 239046 bytes .../van_der_pol_oscillator_z_2_0_mu_2.0.png | Bin 0 -> 203963 bytes figures/van_der_pol_oscillator_z_2_0_mu_2.png | Bin 0 -> 168355 bytes .../van_der_pol_oscillator_z_2_0_mu_4.0.png | Bin 0 -> 164691 bytes figures/van_der_pol_oscillator_z_2_0_mu_4.png | Bin 0 -> 147001 bytes figures/van_der_pol_oscillator_z_2_0_mu_5.png | Bin 0 -> 94808 bytes .../van_der_pol_oscillator_z_3_0_mu_-2.png | Bin 0 -> 61071 bytes .../van_der_pol_oscillator_z_4.0_0_mu_1.png | Bin 0 -> 239726 bytes .../van_der_pol_oscillator_z_4.0_1_mu_1.png | Bin 0 -> 239935 bytes .../van_der_pol_oscillator_z_4.5_0_mu_1.png | Bin 0 -> 239863 bytes .../van_der_pol_oscillator_z_4_0_mu_-0.01.png | Bin 0 -> 125883 bytes .../van_der_pol_oscillator_z_4_0_mu_-1.png | Bin 0 -> 58733 bytes figures/van_der_pol_oscillator_z_4_0_mu_0.png | Bin 0 -> 330166 bytes .../van_der_pol_oscillator_z_4_0_mu_1.0.png | Bin 0 -> 238837 bytes figures/van_der_pol_oscillator_z_4_0_mu_1.png | Bin 0 -> 239516 bytes .../van_der_pol_oscillator_z_4_0_mu_10.0.png | Bin 0 -> 177716 bytes .../van_der_pol_oscillator_z_4_0_mu_15.0.png | Bin 0 -> 166864 bytes .../van_der_pol_oscillator_z_4_0_mu_2.0.png | Bin 0 -> 220003 bytes figures/van_der_pol_oscillator_z_4_0_mu_2.png | Bin 0 -> 220948 bytes .../van_der_pol_oscillator_z_4_0_mu_4.0.png | Bin 0 -> 201333 bytes figures/van_der_pol_oscillator_z_4_0_mu_4.png | Bin 0 -> 201610 bytes figures/van_der_pol_oscillator_z_4_0_mu_5.png | Bin 0 -> 69586 bytes figures/van_der_pol_oscillator_z_4_0_mu_8.png | Bin 0 -> 141383 bytes figures/van_der_pol_oscillator_z_7_0_mu_1.png | Bin 0 -> 240091 bytes figures/van_der_pol_oscillator_z_7_1_mu_1.png | Bin 0 -> 239793 bytes figures/van_der_pol_oscillator_z_8_0_mu_1.png | Bin 0 -> 68541 bytes figures/van_der_pol_oscillator_z_8_0_mu_4.png | Bin 0 -> 63092 bytes phase_plane_analysis_van_der_pol.py | 99 +++++++++++++++++ ...ysis_van_der_pol_lienard_transformation.py | 102 ++++++++++++++++++ 109 files changed, 201 insertions(+) create mode 100644 figures/van_der_pol_oscillator_lienard_z_0.0_0.0_mu_1.0.png create mode 100644 figures/van_der_pol_oscillator_lienard_z_0.0_0.0_mu_1.png create mode 100644 figures/van_der_pol_oscillator_lienard_z_0.0_0.5_mu_1.0.png create mode 100644 figures/van_der_pol_oscillator_lienard_z_0.0_0.5_mu_1.png create mode 100644 figures/van_der_pol_oscillator_lienard_z_1.0_0.0_mu_-1.0.png create mode 100644 figures/van_der_pol_oscillator_lienard_z_1.0_0.0_mu_-4.0.png create mode 100644 figures/van_der_pol_oscillator_lienard_z_1.0_0.0_mu_1.0.png create mode 100644 figures/van_der_pol_oscillator_lienard_z_1.0_0.0_mu_1.png create mode 100644 figures/van_der_pol_oscillator_lienard_z_2.0_0.0_mu_-0.25.png create mode 100644 figures/van_der_pol_oscillator_lienard_z_2.0_0.0_mu_-1.0.png create mode 100644 figures/van_der_pol_oscillator_lienard_z_2.0_0.0_mu_0.25.png create mode 100644 figures/van_der_pol_oscillator_lienard_z_2.0_0.0_mu_0.5.png create mode 100644 figures/van_der_pol_oscillator_lienard_z_2.0_0.0_mu_1.png create mode 100644 figures/van_der_pol_oscillator_lienard_z_2.0_0.0_mu_2.png create mode 100644 figures/van_der_pol_oscillator_lienard_z_2.0_0.0_mu_4.png create mode 100644 figures/van_der_pol_oscillator_lienard_z_2.0_0.0_mu_8.png create mode 100644 figures/van_der_pol_oscillator_lienard_z_4.0_-4.0_mu_1.0.png create mode 100644 figures/van_der_pol_oscillator_lienard_z_4.0_-4.0_mu_1.png create mode 100644 figures/van_der_pol_oscillator_lienard_z_4.0_0.0_mu_1.0.png create mode 100644 figures/van_der_pol_oscillator_lienard_z_4.0_0.0_mu_1.png create mode 100644 figures/van_der_pol_oscillator_z_-2.25_0_mu_-2.0.png create mode 100644 figures/van_der_pol_oscillator_z_-3_0_mu_-2.png create mode 100644 figures/van_der_pol_oscillator_z_-7_1_mu_1.png create mode 100644 figures/van_der_pol_oscillator_z_-8_0_mu_1.png create mode 100644 figures/van_der_pol_oscillator_z_0.001_0.001_mu_2.png create mode 100644 figures/van_der_pol_oscillator_z_0.01_0.01_mu_2.png create mode 100644 figures/van_der_pol_oscillator_z_0.01_0_mu_1.png create mode 100644 figures/van_der_pol_oscillator_z_0.01_1_mu_1.png create mode 100644 figures/van_der_pol_oscillator_z_0.1_0.1_mu_2.png create mode 100644 figures/van_der_pol_oscillator_z_0.1_0_mu_2.png create mode 100644 figures/van_der_pol_oscillator_z_0.4_0_mu_0.0.png create mode 100644 figures/van_der_pol_oscillator_z_0.4_0_mu_0.3.png create mode 100644 figures/van_der_pol_oscillator_z_0.4_0_mu_1.png create mode 100644 figures/van_der_pol_oscillator_z_0.4_0_mu_3.png create mode 100644 figures/van_der_pol_oscillator_z_0.5_0.6666666666666666_mu_1.png create mode 100644 figures/van_der_pol_oscillator_z_0.5_0_mu_1.png create mode 100644 figures/van_der_pol_oscillator_z_0.85_3.063063063063062_mu_1.png create mode 100644 figures/van_der_pol_oscillator_z_0.85_4_mu_1.png create mode 100644 figures/van_der_pol_oscillator_z_0.8_4_mu_1.png create mode 100644 figures/van_der_pol_oscillator_z_0.95_4_mu_1.png create mode 100644 figures/van_der_pol_oscillator_z_0.9_4_mu_1.png create mode 100644 figures/van_der_pol_oscillator_z_0_2_mu_-0.5.png create mode 100644 figures/van_der_pol_oscillator_z_0_4_mu_-0.5.png create mode 100644 figures/van_der_pol_oscillator_z_0_4_mu_1.png create mode 100644 figures/van_der_pol_oscillator_z_1.01_-50.248756218905456_mu_1.png create mode 100644 figures/van_der_pol_oscillator_z_1.5_0_mu_-2.png create mode 100644 figures/van_der_pol_oscillator_z_10_0.001_mu_0.png create mode 100644 figures/van_der_pol_oscillator_z_10_0.001_mu_2.png create mode 100644 figures/van_der_pol_oscillator_z_1_0_mu_-0.01.png create mode 100644 figures/van_der_pol_oscillator_z_1_0_mu_-0.1.png create mode 100644 figures/van_der_pol_oscillator_z_1_0_mu_-1.png create mode 100644 figures/van_der_pol_oscillator_z_1_0_mu_-2.png create mode 100644 figures/van_der_pol_oscillator_z_1_0_mu_1.png create mode 100644 figures/van_der_pol_oscillator_z_1_0_mu_8.png create mode 100644 figures/van_der_pol_oscillator_z_1_4_mu_1.png create mode 100644 figures/van_der_pol_oscillator_z_2.01_-0.6611624617611265_mu_1.png create mode 100644 figures/van_der_pol_oscillator_z_2.0_1_mu_1.png create mode 100644 figures/van_der_pol_oscillator_z_2.15_0_mu_-2.0.png create mode 100644 figures/van_der_pol_oscillator_z_2.25_0_mu_-0.01.png create mode 100644 figures/van_der_pol_oscillator_z_2.25_0_mu_-0.1.png create mode 100644 figures/van_der_pol_oscillator_z_2.25_0_mu_-1.0.png create mode 100644 figures/van_der_pol_oscillator_z_2.25_0_mu_-1.png create mode 100644 figures/van_der_pol_oscillator_z_2.25_0_mu_-2.0.png create mode 100644 figures/van_der_pol_oscillator_z_2.25_0_mu_-2.png create mode 100644 figures/van_der_pol_oscillator_z_2.25_0_mu_4.0.png create mode 100644 figures/van_der_pol_oscillator_z_2.25_2_mu_-2.0.png create mode 100644 figures/van_der_pol_oscillator_z_2.5_0_mu_-2.png create mode 100644 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