Dynamical System Simulator

Developer: Simplicial Software, LLC

Category: Education

40.6K installs

427 ratings

+22 weekly installs

+194 monthly installs

ASO Keyword Dashboard

Tracking 92 keywords for Dynamical System Simulator in Google Play

Developer: Simplicial Software, LLC Category: education Rating: 4.63

Dynamical System Simulator tracks 92 keywords (no keywords rank yet; 92 need traction). Key metrics: opportunity 68.9, difficulty 48.5.

Animates systems of differential equations in real time.

Tracked keywords

0 ranked • 92 not ranking yet

Top 10 coverage

—

Best rank — • Latest leader —

Avg opportunity

68.9

Top keyword: random

Avg difficulty

48.5

Lower scores indicate easier wins

Opportunity leaders

random

Opportunity: 73.0 • Difficulty: 50.5 • Rank —

Competitors: 1,316
68.3
animated

Opportunity: 73.0 • Difficulty: 57.5 • Rank —

Competitors: 1,298
67.5
feel free

Opportunity: 73.0 • Difficulty: 47.9 • Rank —

Competitors: 1,148
67.9
navigation

Opportunity: 72.0 • Difficulty: 58.5 • Rank —

Competitors: 1,141
70.1
source

Opportunity: 72.0 • Difficulty: 52.0 • Rank —

Competitors: 959
69.3

Unranked opportunities

random

Opportunity: 73.0 • Difficulty: 50.5 • Competitors: 1,316
animated

Opportunity: 73.0 • Difficulty: 57.5 • Competitors: 1,298
feel free

Opportunity: 73.0 • Difficulty: 47.9 • Competitors: 1,148
navigation

Opportunity: 72.0 • Difficulty: 58.5 • Competitors: 1,141
source

Opportunity: 72.0 • Difficulty: 52.0 • Competitors: 959

High competition keywords

new

Total apps: 193,474 • Major competitors: 25,823

Latest rank: — • Difficulty: 65.7
free

Total apps: 173,844 • Major competitors: 23,343

Latest rank: — • Difficulty: 64.4
time

Total apps: 170,577 • Major competitors: 19,592

Latest rank: — • Difficulty: 64.6
help

Total apps: 123,065 • Major competitors: 14,840

Latest rank: — • Difficulty: 66.0
features

Total apps: 116,743 • Major competitors: 14,116

Latest rank: — • Difficulty: 64.6

All tracked keywords

Includes opportunity, difficulty, rankings and competitor benchmarks

							Major Competitors
free	64	100	64	90 173,844 competing apps Median installs: 46,597 Avg rating: 3.1	—	—	23,343 major competitor apps
new	64	100	66	90 193,474 competing apps Median installs: 42,470 Avg rating: 3.0	—	—	25,823 major competitor apps
navigation	72	100	58	70 12,601 competing apps Median installs: 27,732 Avg rating: 2.7	—	—	1,141 major competitor apps
mode	69	100	65	78 35,564 competing apps Median installs: 53,723 Avg rating: 3.1	—	—	5,505 major competitor apps
source	72	100	52	69 11,396 competing apps Median installs: 27,566 Avg rating: 2.9	—	—	959 major competitor apps
order	68	100	55	79 44,242 competing apps Median installs: 25,117 Avg rating: 2.7	—	—	4,188 major competitor apps
users	67	100	60	82 59,104 competing apps Median installs: 30,976 Avg rating: 2.8	—	—	6,026 major competitor apps
time	64	100	65	89 170,577 competing apps Median installs: 33,133 Avg rating: 2.9	—	—	19,592 major competitor apps
well known	69	100	32	48 640 competing apps Median installs: 26,480 Avg rating: 2.7	—	—	45 major competitor apps
help	65	100	66	87 123,065 competing apps Median installs: 36,787 Avg rating: 3.0	—	—	14,840 major competitor apps
intuitive	69	100	56	79 39,579 competing apps Median installs: 28,449 Avg rating: 2.9	—	—	4,140 major competitor apps
including	67	100	64	82 66,643 competing apps Median installs: 40,188 Avg rating: 3.0	—	—	8,693 major competitor apps
watch	69	100	69	78 38,532 competing apps Median installs: 39,176 Avg rating: 3.0	—	—	5,315 major competitor apps
update	70	100	66	74 22,777 competing apps Median installs: 36,732 Avg rating: 3.0	—	—	2,519 major competitor apps
move	70	100	59	75 25,275 competing apps Median installs: 43,577 Avg rating: 3.1	—	—	3,641 major competitor apps
understanding	72	100	44	70 12,473 competing apps Median installs: 19,042 Avg rating: 2.6	—	—	678 major competitor apps
students	70	100	46	74 21,596 competing apps Median installs: 17,118 Avg rating: 2.1	—	—	827 major competitor apps
view	67	100	62	82 63,400 competing apps Median installs: 25,686 Avg rating: 2.8	—	—	5,690 major competitor apps
center	72	100	48	69 11,147 competing apps Median installs: 31,391 Avg rating: 2.7	—	—	1,133 major competitor apps
open	68	100	60	80 47,669 competing apps Median installs: 50,678 Avg rating: 3.1	—	—	6,748 major competitor apps
benefit	72	100	45	69 10,780 competing apps Median installs: 26,900 Avg rating: 2.5	—	—	802 major competitor apps
type	70	100	58	75 25,324 competing apps Median installs: 37,985 Avg rating: 2.9	—	—	2,782 major competitor apps
real	67	100	64	83 74,834 competing apps Median installs: 53,568 Avg rating: 2.9	—	—	11,689 major competitor apps
knowledge	70	100	47	75 23,013 competing apps Median installs: 22,252 Avg rating: 2.6	—	—	1,315 major competitor apps
following	69	100	58	77 33,448 competing apps Median installs: 32,090 Avg rating: 2.7	—	—	3,198 major competitor apps

App Description

Animates systems of differential equations in real time.

Dynamical System Simulator animates 2D and 3D first-order and second-order systems of differential equations in real time. Watch animated particles move through space leaving a trail in their wake. Great for verifying slope fields, phase portraits, and gaining an intuitive understanding of dynamical systems. Knowledge of differential equations is assumed but the help screen will point you to additional sources of information. The app is pre-loaded with several well known dynamical system configurations that can be selected from the navigation drawer. Parameters for a particular system type can be randomized.

Sample Systems:
• Logistic Population (1D)
• Periodic Harvesting (1D)
• Saddle (2D)
• Source (2D)
• Sink (2D)
• Center (2D)
• Spiral Source (2D)
• Spiral Sink (2D)
• Bifurcations (2D)
• Homoclinic Orbit (2D)
• Spiral Saddle (3D)
• Spiral Sink (3D)
• Lorenz (3D)
• Oscillations (3D)

Mode Settings:
• Matrix (linear) / Expressions (linear or non-linear)
• 2D / 3D
• 1st Order / 2nd Order

Simulation Settings:
• Number of Particles
• Update Rate
• Time Scale (including negative)
• Enable/Disable random initial velocities for particles

View Settings:
• Line Width
• Line Color
• Zooming (with pinch gestures)
• View Rotation (3D only)

In Expressions Mode the following symbols and trigonometric functions can be used:
• x, y, z
• x', y', z' (2nd Order Mode Only)
• t (time)
• sin (sine)
• cos (cosine)
• asin (arcsine)
• acos (arccosine)
• abs (absolute value)

This application was recently made open source for the benefit of students and other users of the software. Feel free to submit PRs with new features or bug fixes at https://github.com/simplicialsoftware/systems