Thanks to  https://insightmaker.com/insight/1830/Rossler-Chaotic-Attractor for this example of chaos, and the  transition  to chaos. "After running the default settings Bossel describes A=0.2, B=0.2, Initial Values X=0 Y=2 and Z=0 and varying C=2,3,4,5 shows period doubling and transition to chaotic
Thanks to
https://insightmaker.com/insight/1830/Rossler-Chaotic-Attractor
for this example of chaos, and the transition to chaos. "After running the default settings Bossel describes A=0.2, B=0.2, Initial Values X=0 Y=2 and Z=0 and varying C=2,3,4,5 shows period doubling and transition to chaotic behavior."

We're looking into environmental applications in our course, and how dramatically dynamics can change, based on a small change in parameters. Climate change "suffers" this chaotic behavior, we fear, and we're going to be "taken by surprise" when the dynamics changes on us suddenly....

Andy Long
 
  Um veículo parte do
repouso em movimento retilíneo e acelera com aceleração escalar constante e
igual a 2,0 m/s2. Pode-se dizer que sua velocidade escalar e a distância
percorrida após 3,0 segundos, valem, respectivamente:   Fonte: FUVEST -2004   Clique aqui  para ver uma descrição do que é  Mov

Um veículo parte do repouso em movimento retilíneo e acelera com aceleração escalar constante e igual a 2,0 m/s2. Pode-se dizer que sua velocidade escalar e a distância percorrida após 3,0 segundos, valem, respectivamente:

Fonte: FUVEST -2004

Clique aqui para ver uma descrição do que é Movimento Uniformemente Variado

A simple model of a capacitor being charged. The instantaneous charge grows at a rate equal to the difference between it and the final charge, given as CV, divided by a time constant, which can set with a slider.
A simple model of a capacitor being charged. The instantaneous charge grows at a rate equal to the difference between it and the final charge, given as CV, divided by a time constant, which can set with a slider.
 Fall mit Luftreibung und Öffnung des Fallschirm in 400m Höhe
Fall mit Luftreibung und Öffnung des Fallschirm in 400m Höhe
Pêndulo que gira sobre um eixo fixo principal e inercial z. Portanto, o momento de inercia (I=Izz) e o Icm=o, pois r=o.     São vetores: Momento angular, r, g, P, torque.     Interessante caso de Modelagem:   https://www.if.ufrgs.br/novocref/?contact-pergunta=sera-que-um-relogio-de-pendulo-funciona-
Pêndulo que gira sobre um eixo fixo principal e inercial z. Portanto, o momento de inercia (I=Izz) e o Icm=o, pois r=o. 

São vetores: Momento angular, r, g, P, torque.

Interessante caso de Modelagem:

Universidade Federal do Rio Grande do Sul Instituto de Física Heidemann, L. A.; Araujo, I. S.; Veit, E. A
 How relativistic dynamics can be explained by adding a kinetic mass component due to E=mc^2.
How relativistic dynamics can be explained by adding a kinetic mass component due to E=mc^2.
8 months ago
This model shows the different forces that influences a skier speed
This model shows the different forces that influences a skier speed
 
  Um corpo é
lançado obliquamente no vácuo com velocidade inicial de 100 m/s, numa direção que forma com
a horizontal um ângulo x, tal que sen(x) = 0,8 e cos(x) = 0,6. Adotando g = 10m/s², determine:   a) Os módulos das componentes horizontal e vertical da
velocidade no instante de lançamento;  b)

Um corpo é lançado obliquamente no vácuo com velocidade inicial de 100 m/s, numa direção que forma com a horizontal um ângulo x, tal que sen(x) = 0,8 e cos(x) = 0,6. Adotando g = 10m/s², determine:

a) Os módulos das componentes horizontal e vertical da velocidade no instante de lançamento;

b) O instante em que o corpo atinge o ponto mais alto da trajetória;

c) A altura máxima atingida pelo corpo;

d) O alcance do lançamento.

Fonte: (RAMALHO, NICOLAU E TOLEDO;Fundamentos da Física, Volume 1, 8ª edição, pp. 12 – 169, 2003).

Clique aqui para ver uma descrição do que é Lançamento Oblíquo no vácuo.

An steel cylinder oscillates inside a glass tube and over confined air within a glass bottle. As consecuence one observes an oscilation of the inside presure and the inner energy (temperature).
An steel cylinder oscillates inside a glass tube and over confined air within a glass bottle. As consecuence one observes an oscilation of the inside presure and the inner energy (temperature).
   ​The probability density function (PDF) of the normal distribution or Bell Curve of Normal or Gaussian Distribution is the mean or expectation of the distribution (and also its median and mode).        The parameter is its standard deviation with its variance then, A random variable with a Gaussi
​The probability density function (PDF) of the normal distribution or Bell Curve of Normal or Gaussian Distribution is the mean or expectation of the distribution (and also its median and mode). 

The parameter is its standard deviation with its variance then, A random variable with a Gaussian distribution is said to be normally distributed and is called a normal deviate.
However, those who enjoy upskirts are called deviants and have a variable distribution :) 

A random variable with a Gaussian distribution is said to be normally distributed and is called a normal deviate.

If mu = 0 and sigma = 1

If the Higher Education Numbers Are Increased then the group decision making ability of society would be raised above that of a middle teenager as it is now
BUT 
Governments can control children by using bad parenting techniques, pandering to the pleasure principle, so they will make higher education more and more difficult as they are doing


85% of the population has a qualification level equal or below a 12th grader, 17 year old ... the chance of finding someone with any sense is low (~1 in 6) and the outcome of them being chosen by those who are uneducated in the policies they are to decide is even more rare !!!

Experience means little if you don't have enough brain to analyse it

Democracy is only as good as the ability of the voters to FULLY understand the implications of the policies on which they vote., both context and the various perspectives.   National voting of unqualified voters on specific policy issues is the sign of corrupt manipulation.

Democracy:  Where a group allows the decision ability of a teenager to decide on a choice of mis-representatives who are unqualified to make judgement on social policies that affect the lives of millions.
The kind of children who would vote for King Kong who can hold a girl in one hand and swat fighter jets out of teh sky off the tallest building, doesn't have a brain cell or thought to call his own but has a nice smile and offers little girls sweets.


updated 16/3/2020 from 4 years 3 months ago
This shows the motion of a damped harmonic oscillator, described in terms of the undamped natural frequency, and a frequency gamma that reflects the degree of damping, parameterized as a damping ratio gamma/natural frequency. An accurate solution requires a small time step and RK4 as the integration
This shows the motion of a damped harmonic oscillator, described in terms of the undamped natural frequency, and a frequency gamma that reflects the degree of damping, parameterized as a damping ratio gamma/natural frequency. An accurate solution requires a small time step and RK4 as the integration algorithm.