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Polcz Péter honlapja

Tartalomjegyzék

Nonlinear Dynamical Systems (P-ITEEA-0037)

Lecture notes of the seminar

MIT Open Courses Matlab
MIT_opencourseware_Matlab.pdf652 days6.08 MB
NDS2023_Selected_facts_concepts.pdf662 days304.83 KB
Lecture notes and Matlab solutions
Seminar 1
Sem01.pdf662 days51.84 KB
Sem01_2023_09_15_Demo.m659 days3.62 KB
Sem01_2023_09_15_Orai.m662 days1.54 KB
Sem01_2023_09_15_Tervezett.m669 days6.18 KB
Seminar 2
Sem02.pdf659 days228 KB
Sem02_2023_09_21_Bolzano_shooting.m659 days3.18 KB
Sem02_2023_09_21_Szeparatrix.m659 days994 B
Sem02_2023_09_21_Van_der_Pol.m620 days1.9 KB
Sem02_2023_09_21_Van_der_Pol_Limit_Cycle.m659 days949 B
Sem02_2023_09_21_Van_der_Pol_Multiple.m659 days1.19 KB
Sem02_2023_09_21_Van_der_Pol_Velocity.m659 days869 B
Sem03_2023_09_28_Demo_pendulum.m620 days4.37 KB
Sem03_2023_09_28_Nyereg.m644 days1.84 KB
Sem04_2019_10_01_trace_det_diagram.m646 days2.42 KB
Sem04_2023_10_05_Hopf_Schnakenberg.m645 days4.15 KB
Sem04_2023_10_05_Hopf_Schnakenberg_symbolic.mlx635 days27.63 KB
Sem05_2023_10_12_Lotka_Volterra_bifurcation_1.m638 days2.4 KB
Sem05_2023_10_12_Lotka_Volterra_bifurcation_2.m638 days2.4 KB
Sem05_2023_10_12_Lotka_Volterra_random.m635 days2.53 KB
Sem05_2023_10_13_Aprosag.mlx631 days4.42 KB
Sem06_2023_10_19_LV_szamitasok.mlx631 days6.84 KB
Sem06_2023_10_19_LV_szamitasok_a_gyakon.mlx630 days6.27 KB
Sem06_2023_10_19_Lotka_Volterra_random.m631 days5.99 KB
Sem06_2023_10_19_Lotka_Volterra_random_3D.m620 days5.42 KB
Sem07_Find_LV_params_CasADi.m625 days2.96 KB
Sem07_Schnakenberger.m603 days1.51 KB
Sem07_Special_3DLV_models_1.m620 days4.09 KB
Sem07_Special_3DLV_models_2.m625 days7.5 KB
Sem07_Special_LV_models_1.m625 days1.87 KB
Sem07_Special_LV_models_2.m625 days2.29 KB
Sem07_Special_LV_models_3.m625 days2.67 KB
Sem07_Special_LV_models_4.m625 days2.53 KB
Sem07_Special_LV_models_5.m625 days2.24 KB
Sem08_Lorenz_chaos.m610 days2.65 KB
Sem08_Lorenz_chaos_regi.m612 days2.46 KB
Sem08_SpiderWEB.m610 days2.17 KB
Sem08_SpiderWEB_regi.m610 days2.39 KB
Sem09_Lorenz_chaos.m603 days1.97 KB
Sem09_Nullclines_LV_model_5.m603 days4.53 KB
Sem10_Menger_szivacs.pdf596 days409.08 KB
Sem10_Sierpinski.m596 days1.37 KB
Sem10_White_Table.pdf596 days787.87 KB
Sem11_Fern.m596 days1.29 KB
Sem11_Julia.m589 days2.05 KB
Sem11_Newton_box_counting.m589 days2.74 KB
Sem11_Newton_box_counting2.m589 days2.81 KB
Sem12_Chua_1.m582 days1.63 KB
Sem12_Chua_2.m582 days1.15 KB
Sem12_Chua_9.m582 days1.14 KB
Sem12_Pulse_wave.m583 days638 B
Sem12_Takens_Chua.m582 days2.85 KB
Sem12_Takens_Lorenz.m582 days2.88 KB
Sem12_Takens_Roesler.m582 days2.73 KB
All material in a single ZIP file
SemXX_All_in_one.zip603 days6.01 MB
Tutorial_TiledLayout.m620 days610 B
Helper functions
hp_animate_pendulum.m652 days4.13 KB
hp_dealer_function.m652 days180 B
hp_ode_terminal_event_ball.m582 days638 B
hp_ode_terminal_event_rectangle.m645 days792 B
quiver3d.m625 days7.75 KB

Media files obtained through the computations

Pendulum_Compute_Swingup_speed_Bolzano.png652 days114.83 KB
Pendulum_chaotic_behaviour.png652 days208.38 KB
Pendulum_chaotic_behaviour_compressed.avi652 days5.93 MB
Pendulum_damped_oscillation.png652 days184.03 KB
Pendulum_damped_oscillation_compressed.avi652 days1.23 MB
Pendulum_swingup.png652 days170.22 KB
Pendulum_swingup_compressed.avi652 days515.23 KB

Useful Matlab functions and toolboxes

Built-in Matlab functions:

Important functions of Matlab's Symbolic Math Toolbox (SMT):

Other useful functions of Matlab's Symbolic Math Toolbox (SMT):