iMechanica - Comments for "Mechanics of love and happiness"
https://imechanica.org/node/11273
Comments for "Mechanics of love and happiness"enrelated subject: Nonlinear Dynamics of Marriage!
https://imechanica.org/comment/17654#comment-17654
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<p><em>In reply to <a href="https://imechanica.org/node/11273">Mechanics of love and happiness</a></em></p>
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<span><a href="http://www.amazon.com/Mathematics-Marriage-Dynamic-Nonlinear-Bradford/dp/0262572303">The Mathematics of Marriage: Dynamic Nonlinear Models (Bradford Books)</a></span>
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<p>
The book does not rely on metaphors, but develops and applies a mathematical model using difference equations. The work is the fulfillment of the goal to build a mathematical framework for the general system theory of families first suggested by Ludwig Von Bertalanffy in the 1960s.The book also presents a complete introduction to the mathematics involved in theory building and testing, and details the development of experiments and models. In one "marriage experiment," for example, the authors explored the effects of lowering or raising a couple?s heart rates. Armed with their mathematical model, they were able to do real experiments to determine which processes were affected by their interventions.Applying ideas such as phase space, null clines, influence functions, inertia, and uninfluenced and influenced stable steady states (attractors), the authors show how other researchers can use the methods to weigh their own data with positive and negative weights. While the focus is on modeling marriage, the techniques can be applied to other types of psychological phenomena as well.
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</ul>Wed, 09 Nov 2011 08:39:41 +0000Mike Ciavarellacomment 17654 at https://imechanica.orgderivation of the pendulum eqt for happiness
https://imechanica.org/comment/17581#comment-17581
<a id="comment-17581"></a>
<p><em>In reply to <a href="https://imechanica.org/node/11273">Mechanics of love and happiness</a></em></p>
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From the love/hate model of R&J, the derivation of <a href="http://sprott.physics.wisc.edu/pubs/paper281.htm">Dynamical Models of Happiness</a>, is in short this.
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<p>
dR/dt = aR + bJ<br />
dJ/dt = cR + dJ
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<p>
one can eliminate an eqt for Romeo's love alone<br />
d2R/dt2 + beta dR/dt + omega2 R = 0
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<p>
beta = -a - d (damping)<br />
omega2 = ad - bc (frequency)
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<p>
so notice that damping, which clearly is one of the key parameter,<br />
depends only on the self/awareness factors, and not sensitivity to<br />
partner. Manic depression for example may correspond to beta ~ 0.
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<p>
H (your happiness)=dR/dt must average to zero (with positive damping)
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<p>
But remember beta=-a-d, so generally speaking damping is high <br />
with cautious lover and hermits, but not so for eager beavers<br />
or narcissistic nerds which may have negative damping, i.e. have<br />
either happiness very high or very low, forever!
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<p>
See
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<p>
1. The simplest model supposes that over a sufficiently long time,<br />
people tend to acclimate to their circumstances and thus experience<br />
equal amounts of happiness and unhappiness. Therefore, constant<br />
happi-ness is an unrealistic and unobtainable goal.<br />
2. Suicide is an irrational response to unhappiness, similar to<br />
bailing out of the stock market at the bottom. The model predicts that<br />
if you wait long enough, happiness will return, even if only by virtue<br />
of acclimating whatever is causing the unhappiness.<br />
3. Others tend to perceive less volatility in you than you feel since<br />
they observe primarily your responses to external events (R) rather<br />
than your true feelings (H), and therefore they often wrongly conclude<br />
how happy you are.<br />
4. Since individuals will tend to acclimate to their circumstances,<br />
long prison terms may be ineffective if the goal is punishment rather<br />
than deterrence or protection of society.<br />
5. Individuals may be characterized by two parameters β (how rapidly<br />
they return to equilibrium after a perturbing event) and ω (the<br />
frequency with which their feelings change). These parameters may be<br />
of diagnostic use in describing psychological health.<br />
6. Healthy individuals may have β ~ 2ω, corresponding to critical<br />
damping, while people with β < 0 exhibit bipolar behavior. A strongly<br />
overdamped person (β » 2 ω) may be largely devoid of emotions and<br />
unaffected by events, whether good or bad.<br />
7. A reasonable goal of psychotherapy might be to alter the parameters<br />
β and ω so that the patient responds to external events in a more<br />
healthy manner. It is an open question the extent to which such<br />
therapy is effective, since the parameters may be largely fixed by<br />
one’s personality.
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<p>
How to do this is left to the psychotherapists, I guess mechanics cannot do much more! :)
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</ul>Tue, 18 Oct 2011 09:44:26 +0000Mike Ciavarellacomment 17581 at https://imechanica.orgextension to love triangle dynamics
https://imechanica.org/comment/17577#comment-17577
<a id="comment-17577"></a>
<p><em>In reply to <a href="https://imechanica.org/node/11273">Mechanics of love and happiness</a></em></p>
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Consider a love triangle in which Romeo and Juliet love each other, but Romeo also loves his mistress Guinevere and she loves him. See <a href="http://numb3rs.wolfram.com/402/">http://numb3rs.wolfram.com/402/</a>
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</ul>Tue, 18 Oct 2011 04:57:13 +0000Mike Ciavarellacomment 17577 at https://imechanica.orgthere is even a mathematica demo of Romeo and Juliet's model
https://imechanica.org/comment/17574#comment-17574
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<p><em>In reply to <a href="https://imechanica.org/node/11273">Mechanics of love and happiness</a></em></p>
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the code can be found at
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<p>
demonstrations.wolfram.com/<strong>RomeoAndJuliet</strong>/
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</ul>Mon, 17 Oct 2011 18:47:14 +0000Mike Ciavarellacomment 17574 at https://imechanica.org