Dynamical System Simulator

Developer: Simplicial Software, LLC

Category: Education

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40.8K installs

426 ratings

+31 weekly installs

trend steady

+114 monthly installs

trend steady

ASO Keyword Dashboard

Tracking 92 keywords for Dynamical System Simulator in Google Play

Developer: Simplicial Software, LLC Category: education Rating: 4.62

Dynamical System Simulator tracks 92 keywords (no keywords rank yet; 92 need traction). Key metrics: opportunity 70.6, difficulty 43.9.

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

70.6

Top keyword: new features

Avg difficulty

43.9

Lower scores indicate easier wins

Opportunity leaders

new features

Opportunity: 74.0 • Difficulty: 47.3 • Rank —

Competitors: 643
62.2
disable

Opportunity: 74.0 • Difficulty: 54.8 • Rank —

Competitors: 883
61.0
scale

Opportunity: 74.0 • Difficulty: 41.5 • Rank —

Competitors: 525
63.7
initial

Opportunity: 74.0 • Difficulty: 39.7 • Rank —

Competitors: 303
62.5
leaving

Opportunity: 74.0 • Difficulty: 49.6 • Rank —

Competitors: 649
64.8

Unranked opportunities

new features

Opportunity: 74.0 • Difficulty: 47.3 • Competitors: 643
disable

Opportunity: 74.0 • Difficulty: 54.8 • Competitors: 883
scale

Opportunity: 74.0 • Difficulty: 41.5 • Competitors: 525
initial

Opportunity: 74.0 • Difficulty: 39.7 • Competitors: 303
leaving

Opportunity: 74.0 • Difficulty: 49.6 • Competitors: 649

High competition keywords

time

Total apps: 390,894 • Major competitors: 18,018

Latest rank: — • Difficulty: 57.8
new

Total apps: 374,925 • Major competitors: 23,847

Latest rank: — • Difficulty: 58.7
free

Total apps: 315,232 • Major competitors: 24,113

Latest rank: — • Difficulty: 58.7
help

Total apps: 277,741 • Major competitors: 15,480

Latest rank: — • Difficulty: 58.5
features

Total apps: 250,263 • Major competitors: 15,009

Latest rank: — • Difficulty: 58.1

All tracked keywords

Includes opportunity, difficulty, rankings and competitor benchmarks

							Major Competitors
free	65	100	59	88 315,232 competing apps Median installs: 5,764 Avg rating: 2.7	—	—	24,113 major competitor apps
new	64	100	59	89 374,925 competing apps Median installs: 2,970 Avg rating: 2.6	—	—	23,847 major competitor apps
navigation	71	100	50	71 30,381 competing apps Median installs: 1,809 Avg rating: 2.3	—	—	1,238 major competitor apps
mode	69	100	56	77 67,628 competing apps Median installs: 5,374 Avg rating: 2.7	—	—	5,720 major competitor apps
source	72	100	47	70 25,423 competing apps Median installs: 2,267 Avg rating: 2.5	—	—	1,006 major competitor apps
order	67	100	52	82 140,164 competing apps Median installs: 557 Avg rating: 2.3	—	—	4,295 major competitor apps
users	67	100	53	82 137,567 competing apps Median installs: 1,371 Avg rating: 2.3	—	—	5,503 major competitor apps
time	64	100	58	89 390,894 competing apps Median installs: 1,407 Avg rating: 2.4	—	—	18,018 major competitor apps
well known	71	100	31	49 1,170 competing apps Median installs: 4,533 Avg rating: 2.4	—	—	40 major competitor apps
help	65	100	58	87 277,741 competing apps Median installs: 2,033 Avg rating: 2.5	—	—	15,480 major competitor apps
intuitive	68	100	51	81 114,885 competing apps Median installs: 825 Avg rating: 2.3	—	—	4,490 major competitor apps
including	67	100	56	82 131,047 competing apps Median installs: 2,529 Avg rating: 2.6	—	—	7,704 major competitor apps
watch	68	100	57	80 102,264 competing apps Median installs: 1,187 Avg rating: 2.3	—	—	5,675 major competitor apps
update	70	100	55	75 51,493 competing apps Median installs: 1,861 Avg rating: 2.5	—	—	2,605 major competitor apps
move	70	100	52	75 51,147 competing apps Median installs: 2,883 Avg rating: 2.6	—	—	3,431 major competitor apps
understanding	71	100	44	72 33,483 competing apps Median installs: 1,247 Avg rating: 2.2	—	—	727 major competitor apps
students	70	100	46	76 58,981 competing apps Median installs: 991 Avg rating: 1.7	—	—	743 major competitor apps
view	66	100	55	84 180,185 competing apps Median installs: 912 Avg rating: 2.4	—	—	6,138 major competitor apps
center	72	100	45	71 27,459 competing apps Median installs: 1,384 Avg rating: 2.3	—	—	1,173 major competitor apps
open	68	100	54	79 94,394 competing apps Median installs: 4,262 Avg rating: 2.7	—	—	7,205 major competitor apps
benefit	72	100	44	70 23,892 competing apps Median installs: 2,017 Avg rating: 2.2	—	—	794 major competitor apps
type	70	100	52	75 48,839 competing apps Median installs: 3,996 Avg rating: 2.5	—	—	2,838 major competitor apps
real	67	100	57	83 170,478 competing apps Median installs: 2,766 Avg rating: 2.6	—	—	12,946 major competitor apps
knowledge	70	100	47	76 58,742 competing apps Median installs: 1,240 Avg rating: 2.2	—	—	1,362 major competitor apps
following	69	100	53	77 64,576 competing apps Median installs: 3,732 Avg rating: 2.4	—	—	3,308 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