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DYNAMICAL SYSTEMS: INTRODUCTION
ANDRES FELIPE CADENA PARRA
Created on February 21, 2024
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Transcript
Dynamical systems
A process or phenomenon whose state changes over time.}Ex: Voice, Video, Temperature, Voltage, Current, Price...
Classification
Linearity
Homogeneity
ORDER
It has dynamics characterized by linear equations in the variables of the system
The output of the system depends on previous time steps
It has inputs that force the dynamics of the system
Applications
DYNAMICS OF PHYSIOLOGICAL SYSTEMS
The brain as a dynamical system
BILOGY AND POBLATIONAL DYNAMICS
DYNAMICAL SYSTEMs
* it evolves from the initial state. * it is modeled with difference quations
X[0]
SYSTEM DYNAMICS
X[k+1]
Dynamical systems
Classification
ORDER
The output of the system depends on previous time steps
(FIRST ORDER) (SECOND ORDER) (THIRD ORDER) (K-1 ORDER)
Dynamical systems
Classification
Linearity
It has dynamics characterized by linear equations in the variables of the system, f(Pn).
nonLineal
Lineal
Other examples
Other examples
Dynamical systems
Classification
Homogeneity
It has inputs that force the dynamics of the system
homogeneous (ef= o)
X[0]
NON HOMOGENEOUS (EF != o)
SYSTEM DYNAMICS
EXTERNAL FORCE (EF)
X[k+1]
BIOLOGY TIMELINE
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- Make sure your audience remembers the message.
- Activate and surprise your audience.
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Bring it to life with an interactive window
Create a new layer with all the Genially features.
- Generate experiences with your content.
- It’s got the Wow effect. Very Wow.
- Make sure your audience remembers the message.
- Activate and surprise your audience.
Got an idea?
Bring it to life with an interactive window
Create a new layer with all the Genially features.
- Generate experiences with your content.
- It’s got the Wow effect. Very Wow.
- Make sure your audience remembers the message.
- Activate and surprise your audience.
Got an idea?
Bring it to life with an interactive window
Create a new layer with all the Genially features.
- Generate experiences with your content.
- It’s got the Wow effect. Very Wow.
- Make sure your audience remembers the message.
- Activate and surprise your audience.
Got an idea?
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Create a new layer with all the Genially features.
- Generate experiences with your content.
- It’s got the Wow effect. Very Wow.
- Make sure your audience remembers the message.
- Activate and surprise your audience.
Got an idea?
Bring it to life with an interactive window
Create a new layer with all the Genially features.
- Generate experiences with your content.
- It’s got the Wow effect. Very Wow.
- Make sure your audience remembers the message.
- Activate and surprise your audience.
Got an idea?
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Create a new layer with all the Genially features.
- Generate experiences with your content.
- It’s got the Wow effect. Very Wow.
- Make sure your audience remembers the message.
- Activate and surprise your audience.
Got an idea?
Bring it to life with an interactive window
Create a new layer with all the Genially features.
- Generate experiences with your content.
- It’s got the Wow effect. Very Wow.
- Make sure your audience remembers the message.
- Activate and surprise your audience.
Got an idea?
Bring it to life with an interactive window
Create a new layer with all the Genially features.
- Generate experiences with your content.
- It’s got the Wow effect. Very Wow.
- Make sure your audience remembers the message.
- Activate and surprise your audience.
Got an idea?
Bring it to life with an interactive window
Create a new layer with all the Genially features.
- Generate experiences with your content.
- It’s got the Wow effect. Very Wow.
- Make sure your audience remembers the message.
- Activate and surprise your audience.
Got an idea?
Bring it to life with an interactive window
Create a new layer with all the Genially features.
- Generate experiences with your content.
- It’s got the Wow effect. Very Wow.
- Make sure your audience remembers the message.
- Activate and surprise your audience.
Got an idea?
Bring it to life with an interactive window
Create a new layer with all the Genially features.
- Generate experiences with your content.
- It’s got the Wow effect. Very Wow.
- Make sure your audience remembers the message.
- Activate and surprise your audience.
Got an idea?
Bring it to life with an interactive window
Create a new layer with all the Genially features.
- Generate experiences with your content.
- It’s got the Wow effect. Very Wow.
- Make sure your audience remembers the message.
- Activate and surprise your audience.